chap003 Balance Sheet and Financial Disclosures

CHAPTER 5THE FINANCIAL STATEMENTS OF BANKS AND THEIR PRINCIPALCOMPETITORSGoal of This Chapter: The purpose of this chapter is to acquaint the reader with the content, structure and purpose of bank financial statements and to help managers understand how information from bank financial statements can be used as tools to reveal how well their banks are performing.Key Topics in this Chapter•An Overview of the Balance Sheets and Income Statements of Banks and Other Financial Firms•The Balance Sheet or Report of Condition•Asset Items•Liability Items•Recent Expansion of Off-Balance Sheet Items•The Problem of Book-Value Accounting and 〞Window Dressing〞•Components of the Income Statement: Revenues and Expenses•Appendix: Sources of Information on theFinancial-Services IndustryChapter OutlineI. Introduction: The Statements Reviewed in This ChapterII An Overview of Balance Sheets and Income StatementsIII The Balance Sheet (Report of Condition)A. The Principal Types of AccountsB. Assets of the Banking Firm1. Cash and Due from Depository Institutions2. Investment Securities: The Liquid Portion3. Investment Securities: The Income-Generating Portion4. Trading Account Assets5. Federal Funds Sold and Reverse Repurchase Agreements6. Loans and Leases7. Loan Losses8. Specific and General Reserves9. International Loan Reserves10.Unearned Income11.Nonperforming (noncurrent) Loans12.Bank Premises and Fixed Assets13.Other Real Estate Owned (OREO)14.Goodwill and Other Intangible Assets15.All Other AssetsC. Liabilities of the Banking Firm1. Deposits2. Borrowings from Nondeposit Sources3. Equity Capital for the Banking Firma. Preferred Stockb. Common EquityD. Comparative Balance Sheet Ratios for Different Size BanksE. Recent Expansion of Off-Balance-Sheet Items in BankingF. The Problem of Book-Value AccountingG. Auditing: Assuring Reliability of Financial StatementsIV. Components of the Income Statement (Report of Income)A. Financial Flows and Stocks1. Interest Income2. Interest Expenses3. Net Interest Income4. Loan Loss Expense5. Noninterest Income6. Noninterest Expenses7. Net Operating Income and Net IncomeB. Comparative Income Statement Ratios for Different-Size Financial FirmsV. The Financial Statements of Leading Nonbank Financial Firms: A Comparison to Bank StatementsVI. An Overview of Key features of Financial Statements and Their ConsequencesVII. Summary of the ChapterConcept Checks5-1. What are the principal accounts that appear on a bank's balance sheet (Report of Condition)The principal asset items on a bank's Report of Condition are loans, investments in marketable securities, cash, and miscellaneous assets. The principal liability items are deposits and nondeposit borrowings in the money market. Equity capital supplied by the stockholders rounds out the total sources of funds for a bank.5-2. Which accounts are most important and which are least important on the asset side of a bank's balance sheetThe principal bank asset items from most important to least important are::Rank Order Assets1 Cash2 Investment Securities3 Loans4 Miscellaneous Assets5-3. What accounts are most important on the liability side of a balance sheetThe principal bank liability items from most important to least important are:Rank Order Liabilities and Equity Capital1 Deposits2 Nondeposit Borrowings3 Equity Capital4 Miscellaneous Liabilities5-4. What are the essential differences among demand deposits, savings deposits, and time depositsDemand deposits are regular checking accounts against which a customer can write checks or make any number of personalwithdrawals. Regular checking accounts do not bear interest under current U.S. law and regulation.Savings deposits bear interest (normally, they carry the lowest rate paid on bank deposits) but may be withdrawn at will (though a bank usually will reserve the right to require advance notice of a planned withdrawal).Time deposits carry a fixed maturity and the bank may impose a penalty if the customer withdraws funds before the maturity date is reached. The interest rate posted on time deposits is negotiated between the bank and its deposit customer and may be either fixed or floating.A NOW account combines features of a savings account and a checking account, while a money market deposit account encompasses transactional powers similar to a regular checking account (though usually with limitations on the number of checks or drafts that may be written against the account) but also resembles a time deposit with an interest rate fixed for a brief period (such as weekly) but then becomes changeable over longer periods to reflect current market conditions.5-5. What are primary reserves, and secondary reserves and what are they supposed to doPrimary reserves consist of cash, including a bank's vault cash and checkable deposits held with other banks or any other funds such as reserves with the Federal Reserve that are accessible immediately to meet demands for liquidity made against the bank.Secondary reserves consist of assets that pay some interest (though usually pay returns that are much lower than earned on other assets, such as loans) but their principal feature is ready marketability. Most Secondary reserves are marketable securities such as short term government securities and private securities such as commercial paper.Both primary and secondary reserves are held to keep the bank in readiness to meet demands for cash (liquidity) from whatever source those demands may arise.5-6. Suppose that a bank holds cash in its vault of $1.4 million, short-term government securities of $12.4 million, privately issued money market instruments of $5.2 million, deposits at the Federal Reserve banks of $20.1 million, cash items in the process of collection of $0.6 million, and deposits placed with other banks of $16.4 million. How much in primary reserves does this bank hold In secondary reservesThe bank holds primary reserves of:Vault Cash + Deposits at the Fed + Cash Items in Collection +Deposits With Other Banks= $1.4 mill. + $20.1 mill. + $0.6 mill. + $16.4 mill.= $38.5 millionThe bank has secondary reserves of:Short-term Government Securities + Private Money-Market Instruments= $12.4 mill. + $5.2 mill.= $17.6 million5-7. What are off-balance-sheet items and why are they important to some financial firmsOff-balance-sheet items are usually transactions that generate fee income for a bank (such as standby credit guarantees) or help hedge against risk (such as financial futures contracts). They are importantas a supplement to income from loans and to help a bank reduce its exposure to interest-rate and other types of risk.5-8. Why are bank accounting practices under attack right now In what ways could financial institutions improve their accounting methodsThe traditional practice of banks has been to record the value of assets and liabilities at their value on the day the accounts were originally created and not change those values over the life of the account. The SEC and FASB started questioning this practice in the 1980’s because they were concerned that investors in bank securities would be misled about the true value of the bank. Using this historical value accounting method may in fact conceal a bank that insolvent in a current market value sense.The biggest controversy centered on the banks’ investment portfolio which would appear to be easy to value at its current market price. At a minimum, banks could help themselves by marking their investment portfolio to market. This would give investors an indication of the true value of the bank’s investment portfolio. Banks could also consider using the lower of historical or market value for other accounts on the balance sheet.5-9. What accounts make up the Report of Income (income statement of a bank)The Report of Income includes all sources of bank revenue (loan income, investment security income, revenue from deposit service fees, trust fees, and miscellaneous service income) and all bank expenses (including interest on all borrowed funds, salaries, wages, and employee benefits, overhead costs, loan loss expense, taxes, and miscellaneous operating costs.) The difference between operating revenues and expenses (including tax obligations) is referred to as net income.5-10. In rank order, what are the most important revenue and expense items on a Report of IncomeBy dollar volume in most recent years the rank order of the revenue and expense items on a bank's Report of Income is:Rank Order Revenue Items Expense Items1 Loan Income Deposit Interest2 Security Income Interest on Nondeposit Borrowings3 Service Charges on Deposits Salaries, Wages, andand Other Deposit Fees Employee Benefits4 Other Operating Revenues Miscellaneous Expenses5-11. What is the relationship between the provision for loan losses on a bank's Report of Income and the allowance for loan losses on its Report of ConditionGross loans equal the total of all loans currently outstanding that are recorded on the bank's books. Net loans are equal to gross loans less any interest income on loans already collected by the bank but not yet earned and also less the allowance for loan-loss account (orbad-debt reserve).The allowance for loan losses is built up gradually over time by an annual noncash expense item that is charged against the bank's current income, known as the Provision for Loan Losses. The dollar amount of the annual loan-loss provision plus the amount of recovered funds from any loans previously declared worthless (charged off) less any loans charged off as worthless in the current period is added to the allowance-for-loan-losses account.If current charge-offs of worthless loans exceed the annual loan-loss provision plus any recoveries on previously charged-off loans the annual net figure becomes negative and is subtracted from the allowance-for-loan-losses account.5-12. Suppose a bank has an allowance for loan losses of $1.25 million at the beginning of the year, charges current income for a $250,000 provision for loan losses, charges off worthless loans of $150,000, and recovers $50,000 on loans previously charged off. What will be the balance in the allowance for loan losses at year-endThe balance in the allowance for loan loss (ALL) account at year end will be:Beginning ALL = $1.25 millionPlus: Annual ProvisionRecoveries onCharged OffMinus: ChargeOffs of Worthless =LoansEnding ALL = $1.40 million5-13. Who are banking’s chief com petitors in the financial servicesThe closest competitors of banks in recent years (at least in terms of the similarity of their financial statements) are the thrift institutions. These include credit unions and savings associations. If we move a little further away from banks both in terms of what they do and the way their financial statements look, banks also compete with finance companies, life and property casualty insurance companies and security brokers and dealers.5-14. How do the financial statements of major nonbank financial firms resemble or differ from bank financial statements Why do these differences or similarities existBanks have very similar financial statements to credit union and savings associations. The only difference may be in the structure of their loan portfolio. Credit unions probably have more loans to individuals and savings associations may have more real estate loans as well as loans to individuals.More differences exist between banks and other major competitors. These diff erences exist because of each company’s unique function. Finance companies have loans but on their balance sheet they are called accounts receivables. In addition, they show heavy reliance on money market borrowings instead of deposits. Insurance companies are different in that loans they make to businesses show up on the balance sheet as bonds, stocks, mortgages and other securities. On the liability side, insurance companies receive the majority of their funds from insurance premiums paid by customers for insurance protection.Mutual funds hold primarily corporate stocks, bonds, asset-backed securities and money market instruments and their liabilities consist primarily of units of the mutual fund sold to the public. Security brokers and dealers tend to hold a similar range of securities funded by borrowings in the money and capital markets.5-15. What major trends are changing the content of the financial statements prepared by financial firmsThe content of the financial statements of financial firms is changing for several reasons. One trend that has affected the financial statements of financial firms is the call for those statements to reflect the true market value of the assets held by the financial firm. More accounts are being listed at the lower of historical or market value so that investors can get a better understanding of the true value of the firm.Another trend that is affecting financial firms is the increased use of off-balance sheet items. The notional amount of these items issometimes surpassing the value of the items on the balance sheet, especially for larger financial institutions. This has led regulators to change their reporting requirements for financial firms and there are likely to be additional requirements in the future.Another trend that is affecting financial firms is the convergence of the various types of financial firms. In addition, financial firms are becoming larger and more complex and more financial holding companies are formed. These are also leading to changes in the content and structure of the financial statements of financial firms. 5-16. What are the key features or characteristics of the financial statements of banks and similar financial firms What are the consequences of these statement features for managers of financial-service providers and for the publicThe financial statements of financial-service firms exhibit three main characteristics that have important consequences for managers of these firms and the public.The first characteristic of these firms is that they have lower operating leverage. They have small amounts of buildings, equipment and other fixed assets. Operating leverage adds risk to the firm and firms with large amount of operating leverage can face large fluctuations in net income and earnings per share for small changes in revenues.Financial-service firms do not have this problem. However, financial service firms have large amounts of financial leverage. Financial leverage comes from how the firm finances their assets. If a firm borrows a lot, they face have larger financial leverage and have a larger amount of risk as a result. Financial service firms finance approximately 90% of their assets with debt and therefore face significant financial leverage.Small changes in revenues can lead to large changes in net income and earnings per share as a result. In addition, changes in interest rates can have significant effects on the net income and capital position of financial firms. Finally, most of the liabilities of financial firms are short term. This means that financial firms can face significant liquidity problems. A sudden demand by depositors for funds can lead to large problems for financial firms.Problems5-1. Jasper National Bank has just submitted its Report of Condition to the FDIC. Please fill in the missing items from itsstatement shown below (all figures in millions of dollars): Report of ConditionTotal assets $2,50Cash and due from Depository Institutions 87 Securities233 Federal Funds Sold andReverse Repurch.45Gross Loans and Leases 1,90* Gross Loans and Leases = Net Loansand Leases+Loan Loss Allowance200Loan Loss Allowance Net Loans and Leases1700Trading Account Assets20Bank Premises and FixedAssets25*This is the only asset missing and so is total assetsless all of the rest of the assets listed hereOther Real Estate Owned15 Goodwill and Other Intangibles200 All Other Assets175Total Liabilities and Capital 2,50*Total Liabilities and Capital = TotalassetsTotal Liabilities 2,26* Total Liabilities = Total Liabilitiesand Capital-Total Equity CapitalTotal Deposits 1,60*Total Deposits = Total Liabilities LessAll of theOther LiabilitiesFederal Funds Purchased and Repurchase Agreements.80 Trading Liabilities10 Other Borrowed Funds50 Subordinated Debt480 All Other Liabilities40Total Equity Capital240Total Equity Capital = Perpetual Preferred Stock +Common Stock+Surplus+Undivided ProfitPerpetual Preferred Stock2 Common Stock24 Surplus144 Undivided Profit705-2. Along with the Report of Condition submitted above, Jasper has also prepared a Report of Income for the FDIC. Please fill in the missing items from its statement shown below (all figures in millions of dollars):Report of IncomeTotal Interest Income$120Total Interest Expense80* Total Interest Expense = Total Interest Income - Net Interest IncomeNet Interest Income40Provision for Loan and Lease Losses4* Provision for Loan and Lease Losses = Net Interest Income + Total Noninterest Income - Total Noninterest Expense - Pretax Net Operating IncomeTotal Noninterest Income58 Fiduciary Activities8 Service Charges on Deposit Accounts6Trading Account Gains and Fees14* There are four areas of Total NoninterestIncome and only one is missing and the totalis givenAdditional Noninterest Income30 Total Noninterest Expense77Salaries and Benefits47*There are three areas of Total NoninterestExpense and only one is missing and the totalis givenPremises and Equipment Expense10 Additional Noninterest Expense20 Pretax Net Operating Income17 Securities Gains (Losses)1 Applicable Income Taxes5Income Before Extraordinary Income13*Pretax Income Plus Security Gains LessTaxes is income before extraordinary incomeExtraordinary Gains – Net2Net Income15* Net Income = Income Before Extraordinary Income + Extraordinary Gains – Net5-3. If you know the following figures:Total Interest Income$140Provision for Loan Loss$5 Total Interest Expenses100Income Taxes5Total Noninterest Income15Increases in bank’s undivided profits6Total Noninterest Expenses35 Please calculate these items:Net Interest Income40*Total Interest Income Less Total Interest ExpenseNet Noninterest Income -2*Total Noninterest Income Less Total Noninterest ExpensePretax net operating income15*Net Interest Income Plus Net Noninterest Income Less PLLNet Income After Taxes10*Pretax net operating income less PLL less TaxesTotal Operating Revenues 155*Interest Income Plus Noninterest IncomeTotal Operating Expenses 14*Interest Expenses Plus Noninterest Expenses Plus PLLDividends paid to Common Stockholders4Net Income After Taxes Less Increases in bank’s undivided profits5-4. If you know the following figures:Gross Loans$275Trading Account Securities Allowance for Loan Losses5Other Real Estate Owned Investment Securities36Goodwill and other Intangibles Common Stock5Total LiabilitiesSurplus19Preferred StockTotal Equity Capital39Nondeposit BorrowingsCash and Due from Banks9Bank Premises and Equipment, Ne Miscellaneous Assets38Bank Premises and Equipment, Gross34Please calculate these items:Total Assets414*Total Liabilities Plus Total Equity CapitalNet Loans270*Gross Loans Less ALLUndivided Profit12*Total Equity Capital less PS less CS Less Surpl Fed funds sold23*This is the only asset missing so subtract all otassets from total assetsDepreciation5* Bank Premises and Equipment, Gross less Ban Total Deposits355*Total Liabilities less Nondeposit Borrowings5-5. The Mountain High Bank has Gross Loans of $750 million with an ALL account of $45 million. Two years ago the bank made a loan for $10 million to finance the Mountain View Hotel. Two million in principal was repaid before the borrowers defaulted on the loan. The Loan Committee at Mountain High Bank believes the hotel will sell at auction for $7 million and they want to charge off the remainder immediately.a. The dollar figure for Net Loans before the charge-off isNet Loans = Gross Loans –ALL = $750 - $45 = $705b. After the charge-off, what are the dollar figures for GrossLoans, ALL and Net Loans assuming no other transactions.Gross Loans = $750 - $1 = $749 The gross loans nowreflect the realizable value.ALL = $45 - $1 = $44 *The amount of the loan that is badNet Loans = $749 -$44 = $705c. If the Mountain View Hotel sells at auction for $8 million, thebank recovers full principal on the loan.Gross Loans = $750 - $8 = $742ALL = $45 ALL is restored to original amountNet Loans = $742 -$45 = $6975-6. For each of the following transactions, which items on a bank’s statement of income and expenses (Report of Income) would be affecteda. Office supplies are purchased so the bank will have enoughdeposit slips and other necessary forms for customer andemployee use next week.This would be part of Additional noninterest expense and part of Total Noninterest Expense.b. The bank sets aside funds to be contributed through itsmonthly payroll to the employee pension plan in the name of all its eligible employees.This would be part of Salaries and Benefits and part of Total Noninterest Expenses.c. The bank posts the amount of interest earned on the savings account of one of its customers.This would be part of Total Interest Expenses.d. Management expects that among a series of real estate loans recently granted the default rate will probably be close to 3 percent.This would be part of PLL to go into reserves for future bad debts.e. Mr. And Mrs. Harold Jones just purchased a safety deposit box to hold their stock certificates and wills.This would be part of Additional Noninterest Income and part of Total Noninterest Incomef. The bank colleges $1 million in interest payments from loans it made earlier this year to Intel Composition Corp.This would be part of Total Interest Incomeg. Hal Jones’s checking account is charged $30 for two of Hal’s checks that were returned for insufficient funds.This would be part of Service Charges on Deposit Accounts and then part of Total Noninterest Incomeh. The bank earns $5 million in interest on government securities it has held since the middle of last year.This would be part of Total Interest Income.i. The bank has to pay its $5,000 monthly utility bill today to the local electric company.This would be part of Premises and Equipment Expenses and part of Total Noninterest Expensesj. A sale of government securities has just netted the bank a $290,000 capital gain (net of taxes).This would be part of Security Gains (Losses)5-7. For each of the transactions described here, which of at least two accounts on a bank’s balance sheet (Report of Condition) would be affected by each transactiona. Sally Mayfield has just opened a time deposit in the amountof $6,000 and these funds are immediately loaned to RobertJones to purchase a used car.Gross Loans +$6,000Total Deposits +$6,000b. Arthur Blode deposits his payroll check for $1000 in the bank and the bank invests the funds in a government security.Securities + $1,000Total Deposits +$1,000c. The bank sells a new issue of common stock for $100,000 to investors living in its community, and the proceeds of that sale are spent on the installation of new ATMs,Bank Premises & Equipment, Gross +$100,000Common Stock /Surplus +$100,000d. Jane Gavel withdraws her checking account balance of $2,500 from the bank and moves her deposit to a credit union; the bank employs the funds received from Mr. Alan James, who just paid off his home equity loan, to provide Ms. Gavel with the funds she withdrew.Gross Loans -$2,500Total Deposits -$2,500e. The bank purchases a bulldozer from Ace Manufacturing Company for $750,000 and leases it to Cespan Construction Company.Cash and Due from Bank-$750,000Gross Loans and Leases+750,000f. Signet National Bank makes a loan of reserves in the amount of $5 million to Quesan State Bank and the funds are returned the next day.On the day the funds are loaned the accounts are affected in the following manner:Cash and Due from Bank-$5,000,000Federal Funds Sold+$5,000,000and when the finds are returned the next day, the process is reversed.g. The bank declares its outstanding loan of $1 million from theDeprina Corp. to be uncollectible.Gross Loans -$1,000,000ALL -$1,000,0005-8. The Nitty Gritty Bank is developing a list of off-balance-sheet items for its call report. Please fill in the missing items from its statement shown below. Using Table 5-5, describe how Nitty Gritty compares with other banks in the same size category regarding its off-balance sheet activities.Off-balance-sheet items for Nitty Gritty Bank (in millions of $)Total unused commitments$7,000Standby letters of credit andforeign office guarantees$1,350(Amount conveyed to others)($50)Commercial Letters of Credit$48Securities Lent$2,200Derivatives (total)$97,000Notional Amount of CreditDerivatives$22,000Interest Rate Contracts54000Foreign Exchange Rate Contracts 19,800Total Derivatives LessAll Other DerivativesContracts on other commoditiesand equities$1,200 All other off - balance -sheetliabilities$49Total off-balance-sheet Items$107,597 The sum of all of the off-balance sheet itemTotal Assets (on-balance sheet)$10,500Off-balance-sheet assets ÷1025%on-balance-sheet assetsThis looks very similar to other banks of the same size.5-9. See if you can determine the amount of Cardinal State Bank’s current net income after taxes from the figures below (stated in millions of dollars) and the amount of its retained earnings from current income that it will be able to reinvest in the bank. (Be sure to arrange all the figures given in correct sequence to derive the bank’s Report of Income.)Total Interest IncomeInterest on Loans$86Int earned on Govt. Bonds andNotes$9Total$95Total Interest ExpenseInterest Paid on Fed FundsPurchased$5Interest Paid to Customers Timeand Savings Deposits$34Total$39Net Interest Income$56Provision for Loan Loss$2Total Noninterest IncomeService Charges Paid byDepositors$3Trust Department Fees$3Total$6Total Noninterest ExpensesEmployee Wages, Salaries andBenefits$13Overhead Expenses$3Total$16 Net Noninterest Income($10) Pretax Income$44 Taxes Paid (28%)$12 Securities Gains/(Losses)$(7) Net Income$25 Less Dividends$4 Retained Earnings from CurrentIncome$215-10. Which of these account items or entries would normally occur on a ba nk’s balance sheet (Report of Condition) and which on a bank’s income and expense statement (Report of Income)The items which would normally appear on a bank's balance sheet are:Federal funds sold Deposits due to BankCredit card loans Leases of BusinessEquipment ToCustomersVault cash Savings DepositAllowance for loanlossesUndivided profitsCommercial and Industrial Loans Mortgage Owed on the Bank’s BuildingsRepayment of Credit Card Loan Other Real Estate OwnedCommon Stock Additions toUndivided profitsFederal fundspurchasedThe items which would normally appear on a bank’s income statement are:Interest Receivedon Credit CardLoansDepreciation on Plantand EquipmentInterest Paid on Money Market Deposits Provision for Loan LossesSecurity Gains or Losses Service Charges on。

Eun & Resnick 4eCHAPTER 3 Balance of PaymentsBalance-of-Payments AccountingBalance-of-Payments AccountsThe Current AccountThe Capital AccountStatistical DiscrepancyOfficial Reserve AccountInternational Finance in Practice: How One Word Haunts DollarThe Balance-of-Payments IdentityBalance-of-Payments Trends in Major CountriesInternational Finance in Practice: The Dollar and the DeficitSummaryMINI CASE:Mexico’s Balance-of-Payments ProblemAppendix 3A: The Relationship between Balance of Payments and National Income Accounting Balance of Payments Accounting1Balance of paymentsa)is defined as the statistical record of a country’s international transactions over acertain period of time presented in the form of a double-entry bookkeepingb)provides detailed information concerning the demand and supply of a country’scurrencyc)can be used to evaluate the performance of a country in international economiccompetitiond)all of the aboveAnswer: d - p. 592If the United States imports more than it exports, thena)The supply of dollars is likely to exceed the demand in the foreign exchangemarket, ceteris paribus.b)One can infer that the U.S. dollar would be under pressure to depreciate againstother currenciesc)a) and b)d)None of the aboveAnswer: c - p. 593If Japan exports more than it imports, thena)The supply of dollars is likely to exceed the demand in the foreign exchangemarket, ceteris paribus.b)One can infer that the yen would be likely to appreciate against other currenciesc)a) and b)d)None of the aboveAnswer: b - p. 59 There’s no guarantee that the U.S. is Japan’s only trading partner.4Generally speaking, any transaction that results in a receipt from foreignersa)Will be recorded as a debit, with a negative sign, in the U.S. balance of paymentsb)Will be recorded as a debit, with a positive sign, in the U.S. balance of paymentsc)Will be recorded as a credit, with a negative sign, in the U.S. balance of paymentsd)Will be recorded as a credit, with a positive sign, in the U.S. balance of payments Answer d) page 60.5Generally speaking, any transaction that results in a payment to foreignersa)Will be recorded as a debit, with a negative sign, in the U.S. balance of paymentsb)Will be recorded as a debit, with a positive sign, in the U.S. balance of paymentsc)Will be recorded as a credit, with a negative sign, in the U.S. balance of paymentsd)Will be recorded as a credit, with a positive sign, in the U.S. balance of payments Answer a) page 60.6Suppose the McDonalds Corporation imports 100 tons of Canadian beef, paying for it by transferring the funds to a New York bank account kept by the Canadian Beef Conglomerate.a)Payment by McDonalds will be recorded as a debitb)The deposit of the funds by the seller will be recorded as a debitc)Payment by McDonalds will be recorded as a creditd)The deposit of the funds by the buyer will be creditAnswer: a page 60.7Since the balance of payments is presented as a system of double-entry bookkeeping,a)Every credit in the account is balanced by a matching debitb)Every debit in the account is balanced by a matching creditc)a) and b) are both trued)None of the aboveAnswer c) page 60Balance of Payments Accounts8 A country’s international transactions can be grouped into the following three maintypes:a)current account, medium term account, and long term capital accountb)current account, long term capital account, and official reserve accountc)current account, capital account, and official reserve accountd)capital account, official reserve account, trade accountAnswer: c - p. 609Invisible trade refers to:a)services that avoid tax paymentsb)underground economyc)legal, consulting, and engineering servicesd)tourist expenditures, onlyAnswer: c - p 62The Current Account10The current account is divided into four finer categories:a)Merchandise trade, services, factor income, and statistical discrepance.b)Merchandise trade, services, factor income, and unilateral transfersc)Merchandise trade, services, portfolio investment, and unilateral transfersd)Merchandise trade, services, factor income, and direct investmentAnswer: b page 62.11Factor incomea)Consists largely of interest, dividends, and other income on foreign investments.b)Is a theoretical construct of the factors of production, land, labor, capital, andentrepreneurial ability.c)Is generally a very minor part of national income accounting, smaller than thestatistical discrepancy.d)None of the aboveAnswer: a) page 63USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT TWO QUESTIONSThe entries in the “current account” and the “capital account”, combined toge ther, can be outlined (in alphabetic order) as:(i)- direct investment (ii)- factor income(iii)- merchandise(iv)- official transfer (v)- other capital(vi)- portfolio investment (vii)- private transfer (viii)- services12Current account includesa)(i), (ii), and (iii)b)(ii), (iii), and (vii)c)(iv), (v), and (vii)d)(i), (v), and (vi) Answer: b - p. 6213Capital account includesa)(i), (ii), and (iii)b)(ii), (iii), and (vii)c)(iv), (v), and (vii)d)(i), (v), and (vi)Answer: d - p. 6014The “J-curve effect” shows:a)the initial deterioration and the eventual improvement of a country’s trade balancefollowing a currency depreciationb)the initial improvement and the eventual depreciation of a country’s trade balancefollowing a currency depreciationc)the trade balance’s lack of responsiveness to the exchanges rate changesd)none of the aboveAnswer: a - pp. 6315The “J-curve effect”a)Happens most of the time, in the short run.b)Actually only occurs in about 40 percent of the cases according to a study bySebastian Edwardsc)Is a long-run phenomenon, not a short-run.d)None of the above.Answer: b p 63.16A depreciation will begin to improve the trade balance immediately ifa)Imports and exports are responsive to the exchange rate changes.b)Imports and exports are inelastic to the exchange rate changes.c)Consumers exhibit brand loyalty and price inelasticityd)b) and c)Answer: a) page 64.17In the long run, both exports and imports tend to bea)Unresponsive to changes in exchange ratesb)Responsive to changes in exchange ratesc)Both a) and b)d)None of the aboveAnswer: b) page 64.The Capital Account18The difference between Foreign Direct Investment and Portfolio Investment is that:a)Portfolio Investment mostly represents the sale and purchase of foreign financialassets such as stocks and bonds that do not involve a transfer of control.b)Foreign Direct Investment mostly represents the sale and purchase of foreignfinancial assets such as stocks whereas Portfolio Investment mostly involves thesales and purchase of foreign bonds.c)Foreign direct investment is about buying land and building factories, whereasportfolio investment is about buying stocks and bonds.d)All of the aboveAnswer: a page 65.19In the latter half of the 1980s, with a strong yen, Japanese firmsa)Faced difficulty exportingb)Could better afford to acquire U.S. assets that had become less expensive in termsof yen.c)Financed a sharp increase in Japanese FDI in the United Statesd)All of the aboveAnswer: d page 65.20International portfolio investments have boomed in recent years, as a result ofa) A depreciating U.S. dollarb)Increased gasoline and other commodity prices.c)The general relaxation of capital controls and regulation in many countriesd)None of the aboveAnswer: c page 65.21If the interest rate rises in the U.S. while other variables remain constanta)Capital inflows into the U.S. will increaseb)Capital inflows into the U.S. may not materializec)Capital will flow out of the U.S.d)None of the aboveAnswer: a) p 66.22If for a particular county an increase in the interest rate is more or less matched by an expected depreciation in the local currency.a)Traders will probably be tempted to find another country to invest inb)The interest rate increase per se will not be enough to spark capital flow into thecountryc) Both a) and b) are trued)Capital will glow out of the country as the disgruntled citizens riot and go to warwith the neighbors.Answer: c) p 66.23The capital account measuresa)The sum of U.S. sales of assets to foreigners and U.S. purchases of foreign assets.b)The difference between U.S. sales of assets to foreigners and U.S. purchases offoreign assets.c)The difference between U.S. sales of manufactured goods to foreigners and U.S.purchases of foreign products.d)None of the aboveAnswer: b) page 6424When Honda, a Japanese auto maker, built a factory in Ohio,a)It was engaged in foreign direct investmentb)It was engaged in portfolio investmentc)It was engaged in a cross-border acquisitiond)None of the above.Answer: a) page 64.25The capital account may be divided into three categories:a)Cross-border mergers and acquisitions, portfolio investment, and other investmentb)Direct investment, portfolio investment, and Cross-border mergers andacquisitionsc)Direct investment, mergers and acquisitions, and other investmentd)Direct investment, portfolio investment, and other investmentAnswer: d) page 6426When Nestlé, a Swiss firm, bought the American firm Carnation, it was engaged in foreign direct investment. If Nestlé had only bought a non-controlling number ofshares of the firma)Nestlé would have been engaged in portfolio investmentb)Nestlé would have been engaged in a cross-border acquisitionc)It would depend if they bought the shares from an American or a Canadiand)None of the above.Answer: a) page 64.27Transactions in currency, bank deposits and so fortha)Tend to be insensitive to both changes in relative interest rates and the anticipatedchange in exchange rate.b)Tend to be sensitive to both changes in relative interest rates and the anticipatedchange in exchange rate.c)Tend to be sensitive to changes in relative interest rates but insensitive to theanticipated change in exchange rate.d)Tend to be insensitive to changes in relative interest rates but sensitive to theanticipated change in exchange rate.Answer: b) page 65.28Since security returns tend to have low correlations among countries,a)Investors can reduce risk more effectively if they diversify their portfolio holdingsinternationally rather than purely domestically.b)Investors who have a domestically diversified portfolio, with exposures acrossindustry types will not gain much from diversifying abroad.\c)Investors who diversify internationally will likely underperform investors whokeep all their investments in one country.d)None of the aboveAnswer: a) page 65.29Foreign direct investment (FDI) occursa)when an investor acquires a measure of control of a foreign businessb)when there is an acquisition, by a foreign entity in the U.S., of 10 percent or moreof the voting shares of a businessc)with sales and purchases of foreign stocks and bonds that do not involve a transferof controld) a and bAnswer: d - p.63Statistical Discrepancy30Statistical discrepancy, which by definition represents errors and omissionsa)Cannot be calculated directlyb)Is calculated by taking into account the balance-of-payments identityc)Probably has some elements that are honest mistakes, it can’t all be moneylaundering and drugs.d)All of the aboveAnswer: d) page 66.31The statistical discrepancy in the balance-of-payments accountsa)Arise since recordings of payments and receipts are done at different times, indifferent places, possibly using different methods.b)Arise since some transactions (illegal transactions?) occur “off the books”.c)Represents omitted and misrecorded transactions.d)All of the aboveAnswer: d) p 65.32Regarding the statistical discrepancy in the balance-of-payments accountsa)There is some evidence that financial transactions may be mainly responsible forthe discrepancy.b)The sum of the balance on the capital account and the statistical discrepancy isvery close to the balance of the current account in magnitude.c)It tends to be positive one year and negative in others, so it’s safe to ignore itd)a) and b)Answer: d) p 65.Official Reserve Account33When a country must make a net payment to foreigners because of a balance-of-payments deficit, the central bank of the countrya)Should do nothingb)Should run down its official reserve assets (e.g. gold, foreign exchanges, andSDRs)c)Should borrow anew from foreign central banks.d)b) or c) will workAnswer: d): page 66.34Continued U.S. trade deficits coupled with foreigners’ desire to diversify their currency holdings away from U.S. dollarsa)could further diminish the position of the dollar as the dominant reserve currencyb)could affect the value of U.S. dollar (e.g. through the currency diversificationdecisions of Asian central banks)c)Could lend steam to the emergence of the euro as a credible reserve currencyd)All of the aboveAnswer: d page 68.35Currently, international reserve assets are comprised ofa)gold, platinum, foreign exchanges, and special drawing rights (SDRs)b)gold, foreign exchanges, special drawing rights (SDRs), and reserve positions inthe International Monetary Fund (IMF)c)gold, diamonds, foreign exchanges, and special drawing rights (SDRs)d)reserve positions in the International Monetary Fund (IMF), onlyAnswer: b - p. 6536International reserve assets include “foreign exchanges”. These area)Special Drawing Rights (SDRs) at the IMFb)reserve positions in the International Monetary Fund (IMF)c)Foreign currency held by a country’s central bankd)None of the aboveAnswer: c - p. 6637The most important international reserve asset, comprising 94 percent of the total reserve assets held by IMF member countries isa)Goldb)Foreign exchangesc)Special Drawing Rights (SDRs)d)Reserve positions in the International Monetary Fund (IMF)Answer: b) page 66.38The balance of payments identity is given by BCA + BKA + BRA = 0. Rearrange the identity for a country with a pure flexible exchange rate regimea)BCA + BKA + BRA = 0b)BCA = –BKAc)BCA + BKA = –BRAd)BRA = –BCAAnswer: b page 69.Rationale: equation 3.3The Balance of Payments IdentityUSE THE FOLLOWING INFORMATION TO ANSWER THE NEXT TWO QUESTIONSAssume that the balance-of-payments accounts for a country are recorded correctly. balance on the current account = BCA = $130 billionbalance on the capital account = BKA = -$86 billionbalance on the reserves account = BRA = ?39The balance on the reserves account (BRA), under the fixed exchange regime isa)–$44 billionb)$44 billionc)$216 billiond)none of the aboveAnswer: a - p 69 Equation 3.2Rationale: BCA + BKA = –BRA$130 + (–$86) = –BRABRA = –$4440The balance on the reserves account (BRA), under the pure flexible exchange regime is:a)–$44 billionb)$44 billionc)$216 billiond)none of the aboveAnswer: d - p. 6941The “one word that haunts the dollar” isa)(Central bank) diversificationb)Reunification (Korean)c)Misinterpretationd)TerrorismAnswer: a - p. 68. While some students will pick d), I don’t think that’s the right answe r.It’s not like the book was written in August of 2001.42The vast majority of the foreign-exchange reserves held by central banks are denominated ina)Local currenciesb)U.S. dollarsc)Yend)EuroAnswer: b - p. 68Balance of Payments Trends in Major Countries43The U.S. Trade Deficita)Is a capital account surplusb)Is a current account deficitc)Is both a capital account surplus and a current account deficitd)None of the aboveAnswer: c) page 70.44Over the last several years the U.S. has run persistenta)Balance-of-payments deficitsb)Balance-of-payments surplusesc)Current Account deficitsd)Capital Account deficitsAnswer: c) page 70.45More important than he absolute size of a country’s balance-of-payments disequilibriuma)is the nature and cause of the disequilibriumb)is whether it is a trade surplus or deficitc)is whether the local government is mercantilist or notd)Nothing is more important than he absolute size of a country’s balance-of-payments disequilibriumAnswer: a) page 72.Appendix 3A: The Relationship between Balance of Payments and National Income Accounting For questions in this section, the notation isY = GNP = national incomeC = consumptionI = private investmentG = government spendingX = exportsM = imports46National income, or Gross National Product is given by:a)GNP = Y = C + I + G + X + Mb)GNP = Y = C + I + G + X – Mc)GNP = I = C + Y + G + X – Md)GNP = Y = C + I + X + M – GAnswer: b) page 77.47Which of the following is a true statement?a)BCA ≡ X – Mb)BKA ≡ X – Mc)BKA –BCA ≡ X – Md)BKA ≡ X – MAnswer a) page 7748There is an intimate relationship between a country’s BCA and how the country finances its domestic investment and pays for government expenditures. Thisrelationship is given by BCA ≡ X –M ≡ (S – I) + (T – G). Given this, which of the following is a true statement?a)If (S –I) < 0, it implies that a country’s domestic savings is insufficient to financedomestic investment.b) If (T –G) < 0, it implies that a country’s tax revenue is in sufficient to financegovernment spendingc)both a) and b) are trued)none of the aboveAnswer c) page 7749There is an intimate relationship between a country’s BCA and how the country finances its domestic investment and pays for government expenditures. Thisrelationship is given by BCA ≡ X –M ≡ (S – I) + (T – G). Given this, which of the following is a true statement?a)If (S –I) < 0, it implies that a country’s domestic savings is insufficient to financedomestic investment.b) If (T –G) < 0, it implies that a country’s tax revenue is in sufficient to financegovernment spendingc)when BCA is negative, it implies that government budget deficits an/or part ofdomestic investment are being finance with foreign-controlled capitald)all of the above are trueAnswer d) page 77.50There is an i ntimate relationship between a country’s BCA and how the country finances its domestic investment and pays for government expenditures. Thisrelationship is given by BCA ≡ X –M ≡ (S – I) + (T – G). Given this, in order for a country to reduce a BCA deficit, which of the following must occur?a)For a given level of S and I, the government budget deficit (T – G) must bereducedb)For a given level of I and (T – G), S must be increasedc)For a given level of S and (T – G), I must falld)All of the above would work to reduce a BCA deficitAnswer d) page 77.。

Balance SheetIntroductionA balance sheet is a financial statement that provides a snapshot of a company’s financial position at a specific point in time. It shows the company’s assets, liabilities, and shareholders’ equity. The balance sheet is essential for understanding a company’s financial stability, solvency, and liquidity.Components of a Balance SheetAssetsAssets represent what a company owns and include both tangible and intangible items. Tangible assets include cash, accounts receivable, inventory, buildings, and equipment. Intangible assets include patents, trademarks, copyrights, and goodwill.LiabilitiesLiabilities represent what a company owes to others. They include both short-term and long-term obligations. Short-term liabilities include accounts payable, accrued expenses, and short-term debt. Long-term liabilities include long-term debt, mortgage loans, and pension obligations.Shareholders’ EquityShareholders’ equity represents the residual interest in the company’s assets afte r deducting liabilities. It includes common stock, preferred stock, retained earnings, and additional paid-in capital.Importance of a Balance SheetA balance sheet provides important information to various stakeholders, including investors, creditors, and management.InvestorsInvestors analyze a company’s balance sheet to assess its financial health and make investment decisions. They pay particular attention to the composition of assets, liabilities, and shareholders’ equity to evaluate the company’s sol vency and financial stability.CreditorsCreditors evaluate a company’s balance sheet to determine its creditworthiness and ability to repay debt. They focus on the company’s liquidity, debt levels, and the composition of its assets to assess the risk involved in granting credit.ManagementThe balance sheet helps management understand the company’s financial position and make informed decisions. It provides insights into the company’s liquidity, asset utilization,and capital structure, enabling management to allocate resources effectively and plan for the future.Analysis of a Balance SheetLiquidity AnalysisLiquidity analysis determines a company’s ability to meet short-term obligations. Key ratios used for liquidity analysis include the current ratio and the quick ratio. The current ratio is calculated by dividing current assets by current liabilities, while the quick ratio considers only quick assets (cash, marketable securities, and accounts receivable) divided by current liabilities.Solvency AnalysisSolvency analysis assesses a company’s ability to meet long-term obligations. Key ratios used for solvency analysis include the debt ratio and the debt-to-equity ratio. The debt ratio is calculated by dividing total debt by total assets, while the debt-to-equity ratio considers total debt divided by total shareholders’ equity.Profitability AnalysisProfitability analysis measures a company’s ability to generate profits. Key ratios used for profitability analysis include the return on assets (ROA) and the return on equity (ROE). ROA is calculated by dividing net income by average total assets, while ROE considers net income divided by average shareholders’ equity.ConclusionThe balance sheet is a vital financial statement that provides a comprehensive summary of a company’s financial position. It helps stakeholders assess the company’s liquidity, solvency, and profitability. By analyzing the balance sheet, investors, creditors, and management can make informed decisions and evaluate the financial health of the company.。

Chapter NineInterest Rate Risk IIChapter Outline IntroductionDurationA General Formula for Duration∙The Duration of Interest Bearing Bonds∙The Duration of a Zero-Coupon Bond∙The Duration of a Consol Bond (Perpetuities)Features of Duration∙Duration and Maturity∙Duration and Yield∙Duration and Coupon InterestThe Economic Meaning of Duration∙Semiannual Coupon BondsDuration and Immunization∙Duration and Immunizing Future Payments∙Immunizing the Whole Balance Sheet of an FI Immunization and Regulatory ConsiderationsDifficulties in Applying the Duration Model∙Duration Matching can be Costly∙Immunization is a Dynamic Problem∙Large Interest Rate Changes and ConvexitySummaryAppendix 9A: Incorporating Convexity into the Duration Model ∙The Problem of the Flat Term Structure∙The Problem of Default Risk∙Floating-Rate Loans and Bonds∙Demand Deposits and Passbook Savings∙Mortgages and Mortgage-Backed Securities∙Futures, Options, Swaps, Caps, and Other Contingent ClaimsSolutions for End-of-Chapter Questions and Problems: Chapter Nine1. What are the two different general interpretations of the concept of duration, and what isthe technical definition of this term? How does duration differ from maturity?Duration measures the average life of an asset or liability in economic terms. As such, durationhas economic meaning as the interest sensitivity (or interest elasticity) of an asset’s value to changes in the interest rate. Duration differs from maturity as a measure of interest ratesensitivity because duration takes into account the time of arrival and the rate of reinvestment ofall cash flows during the assets life. Technically, duration is the weighted-average time to maturity using the relative present values of the cash flows as the weights.2. Two bonds are available for purchase in the financial markets. The first bond is a 2-year,$1,000 bond that pays an annual coupon of 10 percent. The second bond is a 2-year,$1,000, zero-coupon bond.a. What is the duration of the coupon bond if the current yield-to-maturity (YTM) is 8percent? 10 percent? 12 percent? (Hint: You may wish to create a spreadsheetprogram to assist in the calculations.)Coupon BondPar value = $1,000 Coupon = 0.10 Annual payments YTM = 0.08 Maturity = 2Time Cash Flow PVIF PV of CF PV*CF*T1 $100.00 0.92593 $92.59 $92.592 $1,100.00 0.85734 $943.07 $1,886.15Price = $1,035.67Numerator = $1,978.74 Duration = 1.9106 = Numerator/Price YTM = 0.10Time Cash Flow PVIF PV of CF PV*CF*T1 $100.00 0.90909 $90.91 $90.912 $1,100.00 0.82645 $909.09 $1,818.18Price = $1,000.00Numerator = $1,909.09 Duration = 1.9091 = Numerator/Price YTM = 0.12Time Cash Flow PVIF PV of CF PV*CF*T1 $100.00 0.89286 $89.29 $89.292 $1,100.00 0.79719 $876.91 $1,753.83Price = $966.20Numerator = $1,843.11 Duration = 1.9076 = Numerator/Priceb. How does the change in the current YTM affect the duration of this coupon bond?Increasing the yield-to-maturity decreases the duration of the bond.c. Calculate the duration of the zero-coupon bond with a YTM of 8 percent, 10 percent,and 12 percent.Zero Coupon BondPar value = $1,000 Coupon = 0.00YTM = 0.08 Maturity = 2Time Cash Flow PVIF PV of CF PV*CF*T1 $0.00 0.92593 $0.00 $0.002 $1,000.00 0.85734 $857.34 $1,714.68Price = $857.34Numerator = $1,714.68 Duration = 2.0000 = Numerator/Price YTM = 0.10Time Cash Flow PVIF PV of CF PV*CF*T1 $0.00 0.90909 $0.00 $0.002 $1,000.00 0.82645 $826.45 $1,652.89Price = $826.45Numerator = $1,652.89 Duration = 2.0000 = Numerator/Price YTM = 0.12Time Cash Flow PVIF PV of CF PV*CF*T1 $0.00 0.89286 $0.00 $0.002 $1,000.00 0.79719 $797.19 $1,594.39Price = $797.19Numerator = $1,594.39 Duration = 2.0000 = Numerator/Priced. How does the change in the current YTM affect the duration of the zero-coupon bond?Changing the yield-to-maturity does not affect the duration of the zero coupon bond.e. Why does the change in the YTM affect the coupon bond differently than the zero-coupon bond?Increasing the YTM on the coupon bond allows for a higher reinvestment income that more quickly recovers the initial investment. The zero-coupon bond has no cash flow untilmaturity.3. A one-year, $100,000 loan carries a market interest rate of 12 percent. The loan requires payment of accrued interest and one-half of the principal at the end of six months. The remaining principal and accrued interest are due at the end of the year. a. What is the duration of this loan?Cash flow in 6 months = $100,000 x .12 x .5 + $50,000 = $56,000 interest and principal. Cash flow in 1 year = $50,000 x 1.06 = $53,000 interest and principal. Time Cash Flow PVIF CF*PVIF T*CF*CVIF1 $56,000 0.943396 $52,830.19 $52,830.192 $53,000 0.889996 $47,169.81 $94,339.62Price = $100,000.00$147,169.81 = Numerator735849.02100.000,100$81.169,147$==x D yearsb. What will be the cash flows at the end of 6 months and at the end of the year? Cash flow in 6 months = $100,000 x .12 x .5 + $50,000 = $56,000 interest and principal. Cash flow in 1 year = $50,000 x 1.06 = $53,000 interest and principal.c. What is the present value of each cash flow discounted at the market rate? What is thetotal present value? $56,000 ÷ 1.06 = $52,830.19 = PVCF 1$53,000 ÷ (1.06)2 = $47,169.81 = PVCF 2=$100,000.00 = PV Total CFd. What proportion of the total present value of cash flows occurs at the end of 6 months?What proportion occurs at the end of the year? Proportion t=.5 = $52,830.19 ÷ $100,000 x 100 = 52.830 percent. Proportion t=1 = $47,169.81 ÷ $100,000 x 100 = 47.169 percent. e. What is the weighted-average life of the cash flows on the loan?D = 0.5283 x 0.5 years + 0.47169 x 1.0 years = 0.26415 + 0.47169 = 0.73584 years. f. How does this weighted-average life compare to the duration calculated in part (a)above? The two values are the same.4. What is the duration of a five-year, $1,000 Treasury bond with a 10 percent semiannualcoupon selling at par? Selling with a YTM of 12 percent? 14 percent? What can youconclude about the relationship between duration and yield to maturity? Plot therelationship. Why does this relationship exist?Five-year Treasury BondPar value = $1,000 Coupon = 0.10 Semiannual payments YTM = 0.10 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T0.5 $50.00 0.95238 $47.62 $23.81 PVIF = 1/(1+YTM/2)^(Time*2)1 $50.00 0.90703 $45.35 $45.351.5 $50.00 0.86384 $43.19 $64.792 $50.00 0.8227 $41.14 $82.272.5 $50.00 0.78353 $39.18 $97.943 $50.00 0.74622 $37.31 $111.933.5$50.00 0.71068 $35.53 $124.374$50.00 0.67684 $33.84 $135.374.5 $50.00 0.64461 $32.23 $145.045 $1,050.00 0.61391 $644.61 $3,223.04Price = $1,000.00Numerator = $4,053.91 Duration = 4.0539 = Numerator/Price Five-year Treasury BondPar value = $1,000 Coupon = 0.10 Semiannual payments YTM = 0.12 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T0.5 $50.00 0.9434 $47.17 $23.58 Duration YTM1 $50.00 0.89 $44.50 $44.50 4.0539 0.101.5 $50.00 0.83962 $41.98 $62.97 4.0113 0.122 $50.00 0.79209 $39.60 $79.21 3.9676 0.142.5 $50.00 0.74726 $37.36 $93.413 $50.00 0.70496 $35.25 $105.743.5$50.00 0.66506 $33.25 $116.384$50.00 0.62741 $31.37 $125.484.5 $50.00 0.5919 $29.59 $133.185 $1,050.00 0.55839 $586.31 $2,931.57 .Price = $926.40Numerator = $3,716.03 Duration = 4.0113 = Numerator/PriceFive-year Treasury Bond Par value = $1,000 Coupon = 0.10 Semiannual payments YTM = 0.14 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T 0.5 $50.00 0.93458 $46.73 $23.36 1 $50.00 0.87344 $43.67 $43.67 1.5 $50.00 0.8163 $40.81 $61.22 2 $50.00 0.7629 $38.14 $76.29 2.5 $50.00 0.71299 $35.65 $89.12 3 $50.00 0.66634 $33.32 $99.95 3.5 $50.00 0.62275 $31.14 $108.98 4 $50.00 0.58201 $29.10 $116.40 4.5 $50.00 0.54393 $27.20 $122.39 5 $1,050.00 0.50835 $533.77 $2,668.83 Price = $859.53Numerator = $3,410.22 Duration = 3.9676 = Numerator/Price5. Consider three Treasury bonds each of which has a 10 percent semiannual coupon and trades at par.a. Calculate the duration for a bond that has a maturity of 4 years, 3 years, and 2 years? Please see the calculations on the next page.a. Four-year Treasury BondPar value = $1,000 Coupon = 0.10 Semiannual payments YTM = 0.10 Maturity = 4Time Cash Flow PVIF PV of CF PV*CF*T0.5 $50.00 0.952381 $47.62 $23.81 PVIF = 1/(1+YTM/2)^(Time*2)1 $50.00 0.907029 $45.35 $45.351.5 $50.00 0.863838 $43.19 $64.792 $50.00 0.822702 $41.14 $82.272.5 $50.00 0.783526 $39.18 $97.943 $50.00 0.746215 $37.31 $111.933.5$50.00 0.710681 $35.53 $124.374$1,050.00 0.676839 $710.68 $2,842.73Price = $1,000.00Numerator = $3,393.19 Duration = 3.3932 = Numerator/Price Three-year Treasury BondPar value = $1,000 Coupon = 0.10 Semiannual payments YTM = 0.10 Maturity = 3Time Cash Flow PVIF PV of CF PV*CF*T0.5 $50.00 0.952381 $47.62 $23.81 PVIF = 1/(1+YTM/2)^(Time*2)1 $50.00 0.907029 $45.35 $45.351.5 $50.00 0.863838 $43.19 $64.792 $50.00 0.822702 $41.14 $82.272.5 $50.00 0.783526 $39.18 $97.943 $1,050.00 0.746215 $783.53 $2,350.58Price = $1,000.00Numerator = $2,664.74 Duration = 2.6647 = Numerator/Price Two-year Treasury BondPar value = $1,000 Coupon = 0.10 Semiannual payments YTM = 0.10 Maturity = 2Time Cash Flow PVIF PV of CF PV*CF*T0.5 $50.00 0.952381 $47.62 $23.81 PVIF = 1/(1+YTM/2)^(Time*2)1 $50.00 0.907029 $45.35 $45.351.5 $50.00 0.863838 $43.19 $64.792 $1,050.00 0.822702 $863.84 $1,727.68Price = $1,000.00Numerator = $1,861.62 Duration = 1.8616 = Numerator/Priceb. What conclusions can you reach about the relationship of duration and the time tomaturity? Plot the relationship.As maturity decreases, duration decreases at a decreasing rate. Although the graph below does not illustrate with great precision, the change in duration is less than the cha nge in time to maturity.6. A six-year, $10,000 CD pays 6 percent interest annually. What is the duration of the CD? What would be the duration if interest were paid semiannually? What is the relationship of duration to the relative frequency of interest payments?Six-year CDPar value = $10,000 Coupon = 0.06 Annual payments YTM = 0.06 Maturity = 6Time Cash Flow PVIF PV of CF PV*CF*T 1 $600.00 0.94340 $566.04 $566.04 PVIF = 1/(1+YTM)^(Time) 2 $600.00 0.89000 $534.00 $1,068.00 3 $600.00 0.83962 $503.77 $1,511.31 4 $600.00 0.79209 $475.26 $1,901.02 5 $600.00 0.74726 $448.35 $2,241.77 6 $10,600 0.70496 $7,472.58 $44,835.49Price = $10,000.00Numerator = $52,123.64 Duration = 5.2124 = Numerator/PriceSix-year CDPar value = $10,000 Coupon = 0.06 Semiannual payments YTM = 0.06 Maturity = 6Time Cash Flow PVIF PV of CF PV*CF*T 0.5 $300.00 0.970874 $291.26 $145.63 PVIF = 1/(1+YTM/2)^(Time*2) 1 $300.00 0.942596 $282.78 $282.78 1.5 $300.00 0.915142 $274.54$411.812 $300.00 0.888487 $266.55 $533.092.5 $300.00 0.862609 $258.78 $646.963 $300.00 0.837484 $251.25 $753.743.5$300.00 0.813092 $243.93 $853.754$300.00 0.789409 $236.82 $947.294.5 $300.00 0.766417 $229.93 $1,034.665 $300.00 0.744094 $223.23 $1,116.145.5 $300.00 0.722421 $216.73 $1,192.006 $10,300 0.701380 $7,224.21 $43,345.28Price = $10,000.00Numerator = $51,263.12 Duration = 5.1263 = Numerator/Price Duration decreases as the frequency of payments increases. This relationship occurs because (a) cash is being received more quickly, and (b) reinvestment income will occur more quickly from the earlier cash flows.7. What is the duration of a consol bond that sells at a YTM of 8 percent? 10 percent? 12percent? What is a consol bond? Would a consol trading at a YTM of 10 percent have agreater duration than a 20-year zero-coupon bond trading at the same YTM? Why?A consol is a bond that pays a fixed coupon each year forever. A consol Consol Bond trading at a YTM of 10 percent has a duration of 11 years, while a zero- YTM D = 1 + 1/R coupon bond trading at a YTM of 10 percent, or any other YTM, has a 0.08 13.50 years duration of 20 years because no cash flows occur before the twentieth 0.10 11.00 years year. 0.12 9.33 years8. Maximum Pension Fund is attempting to balance one of the bond portfolios under itsmanagement. The fund has identified three bonds which have five-year maturities andwhich trade at a YTM of 9 percent. The bonds differ only in that the coupons are 7 percent,9 percent, and 11 percent.a. What is the duration for each bond?Five-year BondPar value = $1,000 Coupon = 0.07 Annual payments YTM = 0.09 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $70.00 0.917431 $64.22 $64.22 PVIF = 1/(1+YTM)^(Time)2 $70.00 0.841680 $58.92 $117.843 $70.00 0.772183 $54.05 $162.164 $70.00 0.708425 $49.59 $198.365 $1,070.00 0.649931 $695.43 $3,477.13Price = $922.21Numerator = $4,019.71 Duration = 4.3588 = Numerator/PriceFive-year BondPar value = $1,000 Coupon = 0.09 Annual payments YTM = 0.09 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $90.00 0.917431 $82.57 $82.57 PVIF = 1/(1+YTM)^(Time)2 $90.00 0.841680 $75.75 $151.503 $90.00 0.772183 $69.50 $208.494 $90.00 0.708425 $63.76 $255.035 $1,090.00 0.649931 $708.43 $3,542.13Price = $1,000.00Numerator = $4,239.72 Duration = 4.2397 = Numerator/Price Five-year BondPar value = $1,000 Coupon = 0.11 Annual payments YTM = 0.09 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $110.00 0.917431 $100.92 $100.92 PVIF = 1/(1+YTM)^(Time)2 $110.00 0.841680 $92.58 $185.173 $110.00 0.772183 $84.94 $254.824 $110.00 0.708425 $77.93 $311.715 $1,110.00 0.649931 $721.42 $3,607.12Price = $1,077.79Numerator = $4,459.73 Duration = 4.1378 = Numerator/Priceb. What is the relationship between duration and the amount of coupon interest that is paid?Plot the relationship.9. An insurance company is analyzing three bonds and is using duration as the measure ofinterest rate risk. All three bonds trade at a YTM of 10 percent and have $10,000 parvalues. The bonds differ only in the amount of annual coupon interest that they pay: 8, 10, or 12 percent.a. What is the duration for each five-year bond?Five-year BondPar value = $10,000 Coupon = 0.08 Annual payments YTM = 0.10 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $800.00 0.909091 $727.27 $727.27 PVIF = 1/(1+YTM)^(Time)2 $800.00 0.826446 $661.16 $1,322.313 $800.00 0.751315 $601.05 $1,803.164 $800.00 0.683013 $546.41 $2,185.645 $10,800.00 0.620921 $6,705.95 $33,529.75Price = $9,241.84Numerator = $39,568.14 Duration = 4.2814 = Numerator/Price Five-year BondPar value = $10,000 Coupon = 0.10 Annual payments YTM = 0.10 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $1,000.00 0.909091 $909.09 $909.09 PVIF = 1/(1+YTM)^(Time)2 $1,000.00 0.826446 $826.45 $1,652.893 $1,000.00 0.751315 $751.31 $2,253.944 $1,000.00 0.683013 $683.01 $2,732.055 $11,000.00 0.620921 $6,830.13 $34,150.67Price = $10,000.00Numerator = $41,698.65 Duration = 4.1699 = Numerator/Price Five-year BondPar value = $10,000 Coupon = 0.12 Annual payments YTM = 0.10 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $1,200.00 0.909091 $1,090.91 $1,090.91 PVIF = 1/(1+YTM)^(Time)2 $1,200.00 0.826446 $991.74 $1,983.473 $1,200.00 0.751315 $901.58 $2,704.734 $1,200.00 0.683013 $819.62 $3,278.465 $11,200.00 0.620921 $6,954.32 $34,771.59Price = $10,758.16Numerator = $43,829.17 Duration = 4.0740 = Numerator/Priceb. What is the relationship between duration and the amount of coupon interest that is paid?10. You can obtain a loan for $100,000 at a rate of 10 percent for two years. You have a choiceof either paying the principal at the end of the second year or amortizing the loan, that is, paying interest and principal in equal payments each year. The loan is priced at par. a. What is the duration of the loan under both methods of payment?Two-year loan: Principal and interest at end of year two. Par value = 100,000 Coupon = 0.00 No annual payments YTM = 0.10 Maturity = 2Time Cash Flow PVIF PV of CF PV*CF*T 1 $0.00 0.90909 $0.00 $0.00 PVIF = 1/(1+YTM)^(Time) 2 $121,000 0.82645 $100,000.0 200,000.00 Price = $100,000.0 Numerator = 200,000.00 Duration = 2.0000 = Numerator/Price Two-year loan: Interest at end of year one, P & I at end of year two. Par value = 100,000 Coupon = 0.10 Annual payments YTM = 0.10 Maturity = 2 Time Cash Flow PVIF PV of CF PV*CF*T 1 $10,000 0.909091 $9,090.91 $9,090.91 PVIF = 1/(1+YTM)^(Time) 2 $110,000 0.826446 $90,909.09 181,818.18 Price = $100,000.0 Numerator = 190,909.09 Duration = 1.9091 = Numerator/Price Two-year loan: Amortized over two years. Amortized payment of $57.619.05 Par value = 100,000 Coupon = 0.10 YTM = 0.10 Maturity = 2 Time Cash Flow PVIF PV of CF PV*CF*T 1 $57,619.05 0.909091 $52,380.95 $52,380.95 PVIF = 1/(1+YTM)^(Time) 2 $57,619.05 0.826446 $47,619.05 $95,238.10 Price = $100,000.0Numerator = 147,619.05 Duration = 1.4762 = Numerator/Priceb. Explain the difference in the two results?11. How is duration related to the interest elasticity of a fixed-income security? What is therelationship between duration and the price of the fixed-income security?Taking the first derivative of a bond’s (or any fixed -income security) price (P) with respect to the yield to maturity (R) provides the following:D R dRPdP-=+)1( The economic interpretation is that D is a measure of the percentage change in price of a bond for a given percentage change in yield to maturity (interest elasticity). This equation can be rewritten to provide a practical application:P R dR D dP ⎥⎦⎤⎢⎣⎡+-=1In other words, if duration is known, then the change in the price of a bond due to small changes in interest rates, R, can be estimated using the above formula.12. You have discovered that the price of a bond rose from $975 to $995 when the YTM fellfrom 9.75 percent to 9.25 percent. What is the duration of the bond?We know years D years R RPPD 5.45.40975.1005.97520)1(=⇒-=-=+∆∆=-13. Calculate the duration of a 2-year, $1,000 bond that pays an annual coupon of 10 percentand trades at a yield of 14 percent. What is the expected change in the price of the bond if interest rates decline by 0.50 percent (50 basis points)?Two-year Bond Par value = $1,000 Coupon = 0.10 Annual payments YTM = 0.14 Maturity = 2 Time Cash Flow PVIF PV of CF PV*CF*T 1 $100.00 0.87719 $87.72 $87.72 PVIF = 1/(1+YTM)^(Time) 2 $1,100.00 0.76947 $846.41 $1,692.83 Price = $934.13Numerator = $1,780.55 Duration = 1.9061 = Numerator/PriceExpected change in price = 81.7$13.934$14.1005.9061.11=--=+∆-P RR D. This implies a newprice of $941.94. The actual price using conventional bond price discounting would be $941.99. The difference of $0.05 is due to convexity, which was not considered in this solution.14. The duration of an 11-year, $1,000 Treasury bond paying a 10 percent semiannual couponand selling at par has been estimated at 6.9 years. a. What is the modified duration of the bond (Modified Duration = D/(1 + R))? MD = 6.9/(1 + .10/2) = 6.57 years b. What will be the estimated price change of the bond if market interest rates increase0.10 percent (10 basis points)? If rates decrease 0.20 percent (20 basis points)?Estimated change in price = -MD x ∆R x P = -6.57 x 0.001 x $1,000 = -$6.57. Estimated change in price = -MD x ∆R x P = -6.57 x -0.002 x $1,000 = $13.14. c. What would be the actual price of the bond under each rate change situation in part (b)using the traditional present value bond pricing techniques? What is the amount of error in each case?Rate Price Actual Change Estimated Price Error + 0.001 $993.43 $993.45 $0.02 - 0.002 $1,013.14 $1,013.28 -$0.1415. Suppose you purchase a five-year, 13.76 percent bond that is priced to yield 10 percent. a. Show that the duration of this annual payment bond is equal to four years.Five-year Bond Par value = $1,000 Coupon = 0.1376 Annual payments YTM = 0.10 Maturity = 5Time Cash Flow PVIF PV of CF PV*CF*T1 $137.60 0.909091 $125.09 $125.09 PVIF = 1/(1+YTM)^(Time)2 $137.60 0.826446 $113.72 $227.443 $137.60 0.751315 $103.38 $310.144 $137.60 0.683013 $93.98 $375.935 $1,137.60 0.620921 $706.36 $3,531.80Price = $1,142.53Numerator = $4,570.40 Duration = 4.0002 = Numerator/Priceb. Show that, if interest rates rise to 11 percent within the next year and that if yourinvestment horizon is four years from today, you will still earn a 10 percent yield onyour investment.Value of bond at end of year four: PV = ($137.60 + $1,000) ÷ 1.11 = $1,024.86.Future value of interest payments at end of year four: $137.60*FVIF n=4, i=11% = $648.06.Future value of all cash flows at n = 4:Coupon interest payments over four years $550.40Interest on interest at 11 percent 97.66Value of bond at end of year four $1,024.86Total future value of investment $1,672.92Yield on purchase of asset at $1,142.53 = $1,672.92*PVIV n=4, i=?% ⇒ i = 10.002332%.c. Show that a 10 percent yield also will be earned if interest rates fall next year to 9percent.Value of bond at end of year four: PV = ($137.60 + $1,000) ÷ 1.09 = $1,043.67.Future value of interest payments at end of year four: $137.60*FVIF n=4, i=9% = $629.26.Future value of all cash flows at n = 4:Coupon interest payments over four years $550.40Interest on interest at 9 percent 78.86Value of bond at end of year four $1,043.67Total future value of investment $1,672.93Yield on purchase of asset at $1,142.53 = $1,672.93*PVIV n=4, i=?% ⇒ i = 10.0025 percent. 16. Consider the case where an investor holds a bond for a period of time longer than theduration of the bond, that is, longer than the original investment horizon.a. If market interest rates rise, will the return that is earned exceed or fall short of theoriginal required rate of return? Explain.In this case the actual return earned would exceed the yield expected at the time ofpurchase. The benefits from a higher reinvestment rate would exceed the price reductioneffect if the investor holds the bond for a sufficient length of time.b. What will happen to the realized return if market interest rates decrease? Explain.If market rates decrease, the realized yield on the bond will be less than the expected yield because the decrease in reinvestment earnings will be greater than the gain in bond value.c. Recalculate parts (b) and (c) of problem 15 above, assuming that the bond is held for allfive years, to verify your answers to parts (a) and (b) of this problem.The case where interest rates rise to 11 percent, n = five years:Future value of interest payments at end of year five: $137.60*FVIF n=5, i=11% = $856.95.Future value of all cash flows at n = 5:Coupon interest payments over five years $688.00Interest on interest at 11 percent 168.95Value of bond at end of year five $1,000.00Total future value of investment $1,856.95Yield on purchase of asset at $1,142.53 = $1,856.95*PVIF n=5, i=?%The case where interest rates fall to 9 percent, n = five years:Future value of interest payments at end of year five: $137.60*FVIF n=5, i=9% = $823.50.Future value of all cash flows at n = 5:Coupon interest payments over five years $688.00Interest on interest at 9 percent 135.50Value of bond at end of year five $1,000.00Total future value of investment $1,823.50Yield on purchase of asset at $1,142.53 = $1,823.50*PVIV n=5, i=?% ⇒ i = 9.8013 percent.d. If either calculation in part (c) is greater than the original required rate of return, whywould an investor ever try to match the duration of an asset with his investment horizon?The answer has to do with the ability to forecast interest rates. Forecasting interest rates isa very difficult task, one that most financial institution money managers are unwilling to do.For most managers, betting that rates would rise to 11 percent to provide a realized yield of10.20 percent over five years is not a sufficient return to offset the possibility that ratescould fall to 9 percent and thus give a yield of only 9.8 percent over five years.17. Two banks are being examined by the regulators to determine the interest rate sensitivity oftheir balance sheets. Bank A has assets composed solely of a 10-year, 12 percent, $1million loan. The loan is financed with a 10-year, 10 percent, $1 million CD. Bank B has assets composed solely of a 7-year, 12 percent zero-coupon bond with a current (market)value of $894,006.20 and a maturity (principal) value of $1,976,362.88. The bond isfinanced with a 10-year, 8.275 percent coupon, $1,000,000 face value CD with a YTM of10 percent. The loan and the CDs pay interest annually, with principal due at maturity.a. If market interest rates increase 1 percent (100 basis points), how do the market valuesof the assets and liabilities of each bank change? That is, what will be the net affect onthe market value of the equity for each bank?For Bank A, an increase of 100 basis points in interest rate will cause the market values of assets and liabilities to decrease as follows:Loan: $120*PVIVA n=10,i=13% + $1,000*PVIV n=10,i=13% = $945,737.57.CD: $100*PVIVA n=10,i=11% + $1,000*PVIV n=10,i=11% = $941,107.68.Therefore, the decrease in value of the asset was $4,629.89 less than the liability.For Bank B:Bond: $1,976,362.88*PVIV n=7,i=13% = $840,074.08.CD: $82.75*PVIVA n=10,i=11% + $1,000*PVIV n=10,i=11% = $839,518.43.The bond value decreased $53,932.12, and the CD value fell $54,487.79. Therefore,the decrease in value of the asset was $555.67 less than the liability.b. What accounts for the differences in the changes of the market value of equity betweenthe two banks?The assets and liabilities of Bank A change in value by different amounts because thedurations of the assets and liabilities are not the same, even though the face values andmaturities are the same. For Bank B, the maturities of the assets and liabilities are different, but the current market values and durations are the same. Thus the change in interest rates causes the same (approximate) change in value for both liabilities and assets.c. Verify your results above by calculating the duration for the assets and liabilities ofeach bank, and estimate the changes in value for the expected change in interest rates.Summarize your results.Ten-year CD:Bank B (Calculation in millions)Par value = $1,000 Coupon = 0.08 Annual payments YTM = 0.10 Maturity = 10Time Cash Flow PVIF PV of CF PV*CF*T1 $82.75 0.909091 $75.23 $75.23 PVIF = 1/(1+YTM)^(Time)2 $82.75 0.826446 $68.39 $136.783 $82.75 0.751315 $62.17 $186.514 $82.75 0.683013 $56.52 $226.085 $82.75 0.620921 $51.38 $256.916 $82.75 0.564474 $46.71 $280.267 $82.75 0.513158 $42.46 $297.258 $82.75 0.466507 $38.60 $308.839 $82.75 0.424098 $35.09 $315.8510 $1,082.75 0.385543 $417.45 $4,174.47Price = $894.006Numerator = $6,258.15 Duration = 7.0001 = Numerator/PriceThe duration for the CD of Bank B is calculated above to be 7.001 years. Since the bond is a zero-coupon, the duration is equal to the maturity of 7 years. Using the duration formula to estimate the change in value: Bond:∆Value = 39.875,55$20.006,894$12.101.0.71-=-=+∆-P R R DCD: ∆Value = 43.899,56$22.006,894$10.101.0001.71-=-=+∆-P RR DThe difference in the change in value of the assets and liabilities for Bank B is $1,024.04 using the duration estimation model. The small difference in this estimate and the estimate found in part a above is due to the convexity of the two financial assets.The duration estimates for the loan and CD for Bank A are presented below:Ten-year Loan: Bank A (Calculation in millions)Par value = $1,000 Coupon = 0.12 Annual payments YTM = 0.12 Maturity = 10Time Cash Flow PVIF PV of CF PV*CF*T 1 $120.00 0.892857 $107.14 $107.14 PVIF = 1/(1+YTM)^(Time) 2 $120.00 0.797194 $95.66 $191.33 3 $120.00 0.711780 $85.41 $256.24 4 $120.00 0.635518 $76.26 $305.05 5 $120.00 0.567427 $68.09 $340.46 6 $120.00 0.506631 $60.80 $364.77 7 $120.00 0.452349 $54.28 $379.97 8 $120.00 0.403883 $48.47 $387.73 9 $120.00 0.360610 $43.27 $389.46 10 $1,120.00 0.321973 $360.61 $3,606.10 Price = $1,000.00Numerator = $6,328.25 Duration = 6.3282 = Numerator/PriceTen-year CD: Bank A (Calculation in millions) Par value = $1,000 Coupon = 0.10 Annual payments YTM = 0.10 Maturity = 10 Time Cash Flow PVIF PV of CF PV*CF*T 1 $100.00 0.909091 $90.91 $90.91 PVIF = 1/(1+YTM)^(Time) 2 $100.00 0.826446 $82.64 $165.29 3 $100.00 0.751315 $75.13 $225.39 4 $100.00 0.683013 $68.30 $273.21 5 $100.00 0.620921 $62.09 $310.46。

Chapter 03 Financial Statements Analysis and Long-Term Planning Answer KeyMultiple Choice Questions1. One key reason a long-term financial plan is developed is because:A. the plan determines your financial policy.B. the plan determines your investment policy.C. there are direct connections between achievable corporate growth and the financial policy.D. there is unlimited growth possible in a well-developed financial plan.E. None of the above.Difficulty level: EasyTopic: LONG-TERM PLANNINGType: DEFINITIONS2. Projected future financial statements are called:A. plug statements.B. pro forma statements.C. reconciled statements.D. aggregated statements.E. none of the above.Difficulty level: EasyTopic: PRO FORMA STATEMENTSType: DEFINITIONS3. The percentage of sales method:A. requires that all accounts grow at the same rate.B. separates accounts that vary with sales and those that do not vary with sales.C. allows the analyst to calculate how much financing the firm will need to support the predicted sales level.D. Both A and B.E. Both B and C.Difficulty level: MediumTopic: PERCENTAGE OF SALESType: DEFINITIONS4. A _____ standardizes items on the income statement and balance sheet as a percentage of total sales and total assets, respectively.A. tax reconciliation statementB. statement of standardizationC. statement of cash flowsD. common-base year statementE. common-size statementDifficulty level: EasyTopic: COMMON-SIZE STATEMENTSType: DEFINITIONS5. Relationships determined from a firm's financial information and used for comparison purposes are known as:A. financial ratios.B. comparison statements.C. dimensional analysis.D. scenario analysis.E. solvency analysis.Difficulty level: EasyTopic: FINANCIAL RATIOSType: DEFINITIONS6. Financial ratios that measure a firm's ability to pay its bills over the short run without undue stress are known as _____ ratios.A. asset managementB. long-term solvencyC. short-term solvencyD. profitabilityE. market valueDifficulty level: EasyTopic: SHORT-TERM SOLVENCY RATIOSType: DEFINITIONS7. The current ratio is measured as:A. current assets minus current liabilities.B. current assets divided by current liabilities.C. current liabilities minus inventory, divided by current assets.D. cash on hand divided by current liabilities.E. current liabilities divided by current assets.Difficulty level: EasyTopic: CURRENT RATIOType: DEFINITIONS8. The quick ratio is measured as:A. current assets divided by current liabilities.B. cash on hand plus current liabilities, divided by current assets.C. current liabilities divided by current assets, plus inventory.D. current assets minus inventory, divided by current liabilities.E. current assets minus inventory minus current liabilities.Difficulty level: EasyTopic: QUICK RATIOType: DEFINITIONS9. The cash ratio is measured as:A. current assets divided by current liabilities.B. current assets minus cash on hand, divided by current liabilities.C. current liabilities plus current assets, divided by cash on hand.D. cash on hand plus inventory, divided by current liabilities.E. cash on hand divided by current liabilities.Difficulty level: MediumTopic: CASH RATIOType: DEFINITIONS10. Ratios that measure a firm's financial leverage are known as _____ ratios.A. asset managementB. long-term solvencyC. short-term solvencyD. profitabilityE. market valueDifficulty level: EasyTopic: LONG-TERM SOLVENCY RATIOSType: DEFINITIONS11. The financial ratio measured as total assets minus total equity, divided by total assets, is the:A. total debt ratio.B. equity multiplier.C. debt-equity ratio.D. current ratio.E. times interest earned ratio.Difficulty level: EasyTopic: TOTAL DEBT RATIOType: DEFINITIONS12. The debt-equity ratio is measured as total:A. equity minus total debt.B. equity divided by total debt.C. debt divided by total equity.D. debt plus total equity.E. debt minus total assets, divided by total equity.Difficulty level: EasyTopic: DEBT-EQUITY RATIOType: DEFINITIONS13. The equity multiplier ratio is measured as total:A. equity divided by total assets.B. equity plus total debt.C. assets minus total equity, divided by total assets.D. assets plus total equity, divided by total debt.E. assets divided by total equity.Difficulty level: MediumTopic: EQUITY MULTIPLIERType: DEFINITIONS14. The financial ratio measured as earnings before interest and taxes, divided by interest expense is the:A. cash coverage ratio.B. debt-equity ratio.C. times interest earned ratio.D. gross margin.E. total debt ratio.Difficulty level: MediumTopic: TIMES INTEREST EARNED RATIOType: DEFINITIONS15. The financial ratio measured as earnings before interest and taxes, plus depreciation, divided by interest expense, is the:A. cash coverage ratio.B. debt-equity ratio.C. times interest earned ratio.D. gross margin.E. total debt ratio.Difficulty level: MediumTopic: CASH COVERAGE RATIOType: DEFINITIONS16. Ratios that measure how efficiently a firm uses its assets to generate sales are known as _____ ratios.A. asset managementB. long-term solvencyC. short-term solvencyD. profitabilityE. market valueDifficulty level: EasyTopic: ASSET MANAGEMENT RATIOSType: DEFINITIONS17. The inventory turnover ratio is measured as:A. total sales minus inventory.B. inventory times total sales.C. cost of goods sold divided by inventory.D. inventory times cost of goods sold.E. inventory plus cost of goods sold.Difficulty level: MediumTopic: INVENTORY TURNOVERType: DEFINITIONS18. The financial ratio days' sales in inventory is measured as:A. inventory turnover plus 365 days.B. inventory times 365 days.C. inventory plus cost of goods sold, divided by 365 days.D. 365 days divided by the inventory.E. 365 days divided by the inventory turnover.Difficulty level: MediumTopic: DAYS' SALES IN INVENTORYType: DEFINITIONS19. The receivables turnover ratio is measured as:A. sales plus accounts receivable.B. sales divided by accounts receivable.C. sales minus accounts receivable, divided by sales.D. accounts receivable times sales.E. accounts receivable divided by sales.Difficulty level: MediumTopic: RECEIVABLES TURNOVERType: DEFINITIONS20. The financial ratio days' sales in receivables is measured as:A. receivables turnover plus 365 days.B. accounts receivable times 365 days.C. accounts receivable plus sales, divided by 365 days.D. 365 days divided by the receivables turnover.E. 365 days divided by the accounts receivable.Difficulty level: MediumTopic: DAYS' SALES IN RECEIVABLESType: DEFINITIONS21. The total asset turnover ratio is measured as:A. sales minus total assets.B. sales divided by total assets.C. sales times total assets.D. total assets divided by sales.E. total assets plus sales.Difficulty level: EasyTopic: TOTAL ASSET TURNOVERType: DEFINITIONS22. Ratios that measure how efficiently a firm's management uses its assets and equity to generate bottom line net income are known as _____ ratios.A. asset managementB. long-term solvencyC. short-term solvencyD. profitabilityE. market valueDifficulty level: EasyTopic: PROFITABILITY RATIOSType: DEFINITIONS23. The financial ratio measured as net income divided by sales is known as the firm's:A. profit margin.B. return on assets.C. return on equity.D. asset turnover.E. earnings before interest and taxes.Difficulty level: EasyTopic: PROFIT MARGINType: DEFINITIONS24. The financial ratio measured as net income divided by total assets is known as the firm's:A. profit margin.B. return on assets.C. return on equity.D. asset turnover.E. earnings before interest and taxes.Difficulty level: EasyTopic: RETURN ON ASSETSType: DEFINITIONS25. The financial ratio measured as net income divided by total equity is known as the firm's:A. profit margin.B. return on assets.C. return on equity.D. asset turnover.E. earnings before interest and taxes.Difficulty level: EasyTopic: RETURN ON EQUITYType: DEFINITIONS26. The financial ratio measured as the price per share of stock divided by earnings per share is known as the:A. return on assets.B. return on equity.C. debt-equity ratio.D. price-earnings ratio.E. Du Pont identity.Difficulty level: EasyTopic: PRICE-EARNINGS RATIOType: DEFINITIONS27. The market-to-book ratio is measured as:A. total equity divided by total assets.B. net income times market price per share of stock.C. net income divided by market price per share of stock.D. market price per share of stock divided by earnings per share.E. market value of equity per share divided by book value of equity per share.Difficulty level: MediumTopic: MARKET-TO-BOOK RATIOType: DEFINITIONS28. The _____ breaks down return on equity into three component parts.A. Du Pont identityB. return on assetsC. statement of cash flowsD. asset turnover ratioE. equity multiplierDifficulty level: MediumTopic: DU PONT IDENTITYType: DEFINITIONS29. The External Funds Needed (EFN) equation does not measure the:A. additional asset requirements given a change in sales.B. additional total liabilities raised given the change in sales.C. rate of return to shareholders given the change in sales.D. net income expected to be earned given the change in sales.E. None of the above.Difficulty level: MediumTopic: EXTERNAL FUNDS NEEDEDType: DEFINITIONS30. To calculate sustainable growth rate without using return on equity, the analyst needs the:A. profit margin.B. payout ratio.C. debt-to-equity ratio.D. total asset turnover.E. All of the above.Difficulty level: MediumTopic: SUSTAINABLE GROWTH RATEType: DEFINITIONS31. Growth can be reconciled with the goal of maximizing firm value:A. because greater growth always adds to value.B. because growth must be an outcome of decisions that maximize NPV.C. because growth and wealth maximization are the same.D. because growth of any type cannot decrease value.E. None of the above.Difficulty level: MediumTopic: GROWTHType: DEFINITIONS32. Sustainable growth can be determined by the:A. profit margin, total asset turnover and the price to earnings ratio.B. profit margin, the payout ratio, the debt-to-equity ratio, and the asset requirement or asset turnover ratio.C. Total growth less capital gains growth.D. Either A or B.E. None of the above.Difficulty level: MediumTopic: SUSTAINABLE GROWTHType: DEFINITIONS33. Which of the following will increase sustainable growth?A. Buy back existing stockB. Decrease debtC. Increase profit marginD. Increase asset requirement or asset turnover ratioE. Increase dividend payout ratioDifficulty level: MediumTopic: SUSTAINABLE GROWTHType: DEFINITIONS34. The main objective of long-term financial planning models is to:A. determine the asset requirements given the investment activities of the firm.B. plan for contingencies or uncertain events.C. determine the external financing needs.D. All of the above.E. None of the above.Difficulty level: MediumTopic: LONG TERM PLANNINGType: DEFINITIONS35. On a common-size balance sheet, all _____ accounts are shown as a percentage of _____.A. income; total assetsB. liability; net incomeC. asset; salesD. liability; total assetsE. equity; salesDifficulty level: MediumTopic: COMMON-SIZE BALANCE SHEETType: DEFINITIONS36. Which one of the following statements is correct concerning ratio analysis?A. A single ratio is often computed differently by different individuals.B. Ratios do not address the problem of size differences among firms.C. Only a very limited number of ratios can be used for analytical purposes.D. Each ratio has a specific formula that is used consistently by all analysts.E. Ratios can not be used for comparison purposes over periods of time.Difficulty level: MediumTopic: RATIO ANALYSISType: DEFINITIONS37. Which of the following are liquidity ratios?I. cash coverage ratioII. current ratioIII. quick ratioIV. inventory turnoverA. II and III onlyB. I and II onlyC. II, III, and IV onlyD. I, III, and IV onlyE. I, II, III, and IVDifficulty level: MediumTopic: LIQUIDITY RATIOSType: DEFINITIONS38. An increase in which one of the following accounts increases a firm's current ratio without affecting its quick ratio?A. accounts payableB. cashC. inventoryD. accounts receivableE. fixed assetsDifficulty level: MediumTopic: LIQUIDITY RATIOSType: DEFINITIONS39. A supplier, who requires payment within ten days, is most concerned with which one of the following ratios when granting credit?A. currentB. cashC. debt-equityD. quickE. total debtDifficulty level: MediumTopic: LIQUIDITY RATIOSType: DEFINITIONS40. A firm has a total debt ratio of .47. This means that that firm has 47 cents in debt for every:A. $1 in equity.B. $1 in total sales.C. $1 in current assets.D. $.53 in equity.E. $.53 in total assets.Difficulty level: MediumTopic: LONG-TERM SOLVENCY RATIOSType: DEFINITIONS41. The long-term debt ratio is probably of most interest to a firm's:A. credit customers.B. employees.C. suppliers.D. mortgage holder.E. shareholders.Difficulty level: MediumTopic: LONG-TERM SOLVENCY RATIOSType: DEFINITIONS42. A banker considering loaning a firm money for ten years would most likely prefer the firm have a debt ratio of _____ and a times interest earned ratio of _____.A. .75; .75B. .50; 1.00C. .45; 1.75D. .40; 2.50E. .35; 3.00Difficulty level: MediumTopic: LONG-TERM SOLVENCY RATIOSType: DEFINITIONS43. From a cash flow position, which one of the following ratios best measures a firm's ability to pay the interest on its debts?A. times interest earned ratioB. cash coverage ratioC. cash ratioD. quick ratioE. Interval measureDifficulty level: MediumTopic: LONG-TERM SOLVENCY RATIOSType: DEFINITIONS44. The higher the inventory turnover measure, the:A. faster a firm sells its inventory.B. faster a firm collects payment on its sales.C. longer it takes a firm to sell its inventory.D. greater the amount of inventory held by a firm.E. lesser the amount of inventory held by a firm.Difficulty level: MediumTopic: ASSET MANAGEMENT RATIOSType: DEFINITIONS45. Which one of the following statements is correct if a firm has a receivables turnover measure of 10?A. It takes a firm 10 days to collect payment from its customers.B. It takes a firm 36.5 days to sell its inventory and collect the payment from the sale.C. It takes a firm 36.5 days to pay its creditors.D. The firm has an average collection period of 36.5 days.E. The firm has ten times more in accounts receivable than it does in cash.Difficulty level: MediumTopic: ASSET MANAGEMENT RATIOSType: DEFINITIONS46. A total asset turnover measure of 1.03 means that a firm has $1.03 in:A. total assets for every $1 in cash.B. total assets for every $1 in total debt.C. total assets for every $1 in equity.D. sales for every $1 in total assets.E. long-term assets for every $1 in short-term assets.Difficulty level: MediumTopic: ASSET MANAGEMENT RATIOSType: DEFINITIONS47. Puffy's Pastries generates five cents of net income for every $1 in sales. Thus, Puffy's has a _____ of 5%.A. return on assetsB. return on equityC. profit marginD. Du Pont measureE. total asset turnoverDifficulty level: MediumTopic: PROFITABILITY RATIOSType: DEFINITIONS48. If a firm produces a 10% return on assets and also a 10% return on equity, then the firm:A. has no debt of any kind.B. is using its assets as efficiently as possible.C. has no net working capital.D. also has a current ratio of 10.E. has an equity multiplier of 2.Difficulty level: MediumTopic: PROFITABILITY RATIOSType: DEFINITIONS49. If shareholders want to know how much profit a firm is making on their entire investment in the firm, the shareholders should look at the:A. profit margin.B. return on assets.C. return on equity.D. equity multiplier.E. earnings per share.Difficulty level: MediumTopic: PROFITABILITY RATIOSType: DEFINITIONS50. BGL Enterprises increases its operating efficiency such that costs decrease while sales remain constant. As a result, given all else constant, the:A. return on equity will increase.B. return on assets will decrease.C. profit margin will decline.D. equity multiplier will decrease.E. price-earnings ratio will increase.Difficulty level: MediumTopic: PROFITABILITY RATIOSType: DEFINITIONS51. The only difference between Joe's and Moe's is that Joe's has old, fully depreciated equipment. Moe's just purchased all new equipment which will be depreciated over eight years. Assuming all else equal:A. Joe's will have a lower profit margin.B. Joe's will have a lower return on equity.C. Moe's will have a higher net income.D. Moe's will have a lower profit margin.E. Moe's will have a higher return on assets.Difficulty level: MediumTopic: PROFITABILITY RATIOSType: DEFINITIONS52. Last year, Alfred's Automotive had a price-earnings ratio of 15. This year, the price earnings ratio is 18. Based on this information, it can be stated with certainty that:A. the price per share increased.B. the earnings per share decreased.C. investors are paying a higher price for each share of stock purchased.D. investors are receiving a higher rate of return this year.E. either the price per share, the earnings per share, or both changed.Difficulty level: MediumTopic: MARKET VALUE RATIOSType: DEFINITIONS53. Turner's Inc. has a price-earnings ratio of 16. Alfred's Co. has a price-earnings ratio of 19. Thus, you can state with certainty that one share of stock in Alfred's:A. has a higher market price than one share of stock in Turner's.B. has a higher market price per dollar of earnings than does one share of Turner's.C. sells at a lower price per share than one share of Turner's.D. represents a larger percentage of firm ownership than does one share of Turner's stock.E. earns a greater profit per share than does one share of Turner's stock.Difficulty level: MediumTopic: MARKET VALUE RATIOType: DEFINITIONS54. Which two of the following are most apt to cause a firm to have a higher price-earnings ratio?I. slow industry outlookII. high prospect of firm growthIII. very low current earningsIV. investors with a low opinion of the firmA. I and II onlyB. II and III onlyC. II and IV onlyD. I and III onlyE. III and IV onlyDifficulty level: MediumTopic: MARKET VALUE RATIOSType: DEFINITIONS55. Vinnie's Motors has a market-to-book ratio of 3. The book value per share is $4.00. Holding market-to-book constant, a $1 increase in the book value per share will:A. cause the accountants to increase the equity of the firm by an additional $2.B. increase the market price per share by $1.C. increase the market price per share by $12.D. tend to cause the market price per share to rise.E. only affect book values but not market values.Difficulty level: MediumTopic: MARKET VALUE RATIOSType: DEFINITIONS56. Which one of the following sets of ratios applies most directly to shareholders?A. return on assets and profit marginB. quick ratio and times interest earnedC. price-earnings ratio and debt-equity ratioD. market-to-book ratio and price-earnings ratioE. cash coverage ratio and times equity multiplierDifficulty level: MediumTopic: MARKET VALUE RATIOSType: DEFINITIONS57. The three parts of the Du Pont identity can be generally described as:I. operating efficiency, asset use efficiency and firm profitability.II. financial leverage, operating efficiency and asset use efficiency.III. the equity multiplier, the profit margin and the total asset turnover.IV. the debt-equity ratio, the capital intensity ratio and the profit margin.A. I and II onlyB. II and III onlyC. I and IV onlyD. I and III onlyE. III and IV onlyDifficulty level: MediumTopic: DU PONT IDENTITYType: DEFINITIONS58. If a firm decreases its operating costs, all else constant, then:A. the profit margin increases while the equity multiplier decreases.B. the return on assets increases while the return on equity decreases.C. the total asset turnover rate decreases while the profit margin increases.D. both the profit margin and the equity multiplier increase.E. both the return on assets and the return on equity increase.Difficulty level: MediumTopic: DU PONT IDENTITYType: DEFINITIONS59. Which one of the following statements is correct?A. Book values should always be given precedence over market values.B. Financial statements are frequently the basis used for performance evaluations.C. Historical information has no value when predicting the future.D. Potential lenders place little value on financial statement information.E. Reviewing financial information over time has very limited value.Difficulty level: MediumTopic: EVALUATING FINANCIAL STATEMENTSType: DEFINITIONS60. It is easier to evaluate a firm using its financial statements when the firm:A. is a conglomerate.B. is global in nature.C. uses the same accounting procedures as other firms in its industry.D. has a different fiscal year than other firms in its industry.E. tends to have one-time events such as asset sales and property acquisitions.Difficulty level: MediumTopic: EVALUATING FINANCIAL STATEMENTSType: DEFINITIONS61. Which two of the following represent the most effective methods of directly evaluating the financial performance of a firm?I. comparing the current financial ratios to those of the same firm from prior time periodsII. comparing a firm's financial ratios to those of other firms in the firm's peer group who have similar operationsIII. comparing the financial statements of the firm to the financial statements of similar firms operating in other countriesIV. comparing the financial ratios of the firm to the average ratios of all firms located in the same geographic areaA. I and II onlyB. II and III onlyC. III and IV onlyD. I and IV onlyE. I and III onlyDifficulty level: MediumTopic: EVALUATING FINANCIAL STATEMENTSType: DEFINITIONS62. In the financial planning model, external funds needed (EFN) is equal to changes inA. assets - (liabilities - equity).B. assets - (liabilities + equity).C. (assets + liabilities - equity).D. (assets + equity - liabilities).E. assets - equity.Difficulty level: MediumTopic: EXTERNAL FUNDS NEEDEDType: DEFINITIONS63. Which of the following represent problems encountered when comparing the financial statements of one firm with those of another firm?I. Either one, or both, of the firms may be conglomerates and thus have unrelated lines of business.II. The operations of the two firms may vary geographically.III. The firms may use differing accounting methods for inventory purposes.IV. The two firms may be seasonal in nature and have different fiscal year ends.A. I and II onlyB. II and III onlyC. I, III, and IV onlyD. I, II, and III onlyE. I, II, III, and IVDifficulty level: MediumTopic: EVALUATING FINANCIAL STATEMENTSType: DEFINITIONS64. A firm's sustainable growth rate in sales directly depends on its:A. debt to equity ratio.B. profit margin.C. dividend policy.D. asset efficiency.E. All of the above.Difficulty level: MediumTopic: SUSTAINABLE GROWTH RATEType: DEFINITIONS65. The sustainable growth rate will be equivalent to the internal growth rate when:A. a firm has no debt.B. the growth rate is positive.C. the plowback ratio is positive but less than 1.D. a firm has a debt-equity ratio exactly equal to 1.E. net income is greater than zero.Difficulty level: MediumTopic: SUSTAINABLE GROWTH RATEType: DEFINITIONS66. The sustainable growth rate:A. assumes there is no external financing of any kind.B. is normally higher than the internal growth rate.C. assumes the debt-equity ratio is variable.D. is based on receiving additional external debt and equity financing.E. assumes that 100% of all income is retained by the firm.Difficulty level: MediumTopic: SUSTAINABLE GROWTH RATEType: DEFINITIONS67. If a firm bases its growth projection on the rate of sustainable growth, and shows positive net income, then the:A. fixed assets will have to increase at the same rate, regardless of the current capacity level.B. number of common shares outstanding will increase at the same rate of growth.C. debt-equity ratio will have to increase.D. debt-equity ratio will remain constant while retained earnings increase.E. fixed assets, debt-equity ratio, and number of common shares outstanding will all increase.Difficulty level: MediumTopic: SUSTAINABLE GROWTH RATEType: DEFINITIONS68. Marcie's Mercantile wants to maintain its current dividend policy, which is a payout ratio of 40%. The firm does not want to increase its equity financing but is willing to maintain its current debt-equity ratio. Given these requirements, the maximum rate at which Marcie's can grow is equal to:A. 40% of the internal rate of growth.B. 60% of the internal rate of growth.C. the internal rate of growth.D. the sustainable rate of growth.E. 60% of the sustainable rate of growth.Difficulty level: MediumTopic: SUSTAINABLE GROWTH RATEType: DEFINITIONS69. One of the primary weaknesses of many financial planning models is that they:A. rely too much on financial relationships and too little on accounting relationships.B. are iterative in nature.C. ignore the goals and objectives of senior management.D. are based solely on best case assumptions.E. ignore the size, risk, and timing of cash flows.Difficulty level: MediumTopic: FINANCIAL PLANNING MODELSType: DEFINITIONS70. Financial planning, when properly executed:A. ignores the normal restraints encountered by a firm.B. ensures that the primary goals of senior management are fully achieved.C. reduces the necessity of daily management oversight of the business operations.D. helps ensure that proper financing is in place to support the desired level of growth.E. eliminates the need to plan more than one year in advance.Difficulty level: MediumTopic: FINANCIAL PLANNINGType: DEFINITIONS71. When examining the EBITDA ratio, lower numbers are:A. considered good.B. considered mediocre.C. considered poor.D. indifferent to higher numbers.E. it is impossible to garner information from this ratio.Difficulty level: MediumTopic: EBITDA RATIOType: DEFINITIONS。