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Credit Cycles,Credit Risk,and Prudential Regulation

Credit Cycles,Credit Risk,and Prudential Regulation
Credit Cycles,Credit Risk,and Prudential Regulation

MP R A

Munich Personal RePEc Archive

Credit Cycles,Credit Risk,and Prudential Regulation

Jesus,Saurina and Gabriel,Jimenez

UNSPECIFIED

20March2006

Online at http://mpra.ub.uni-muenchen.de/718/ MPRA Paper No.718,posted07.November2007/01:13

Credit Cycles,Credit Risk,and

Prudential Regulation?

Gabriel Jim′e nez and Jes′u s Saurina

Banco de Espa?n a

This paper?nds strong empirical support of a positive, although quite lagged,relationship between rapid credit growth

and loan losses.Moreover,it contains empirical evidence of

more lenient credit standards during boom periods,both in

terms of screening of borrowers and in collateral requirements.

We?nd robust evidence that during upturns,riskier borrowers

get bank loans,while collateralized loans decrease.We develop

a regulatory prudential tool,based on a countercyclical,or

forward-looking,loan loss provision that takes into account

the credit risk pro?le of banks’loan portfolios along the busi-

ness cycle.Such a provision might contribute to reinforce the

soundness and the stability of banking systems.

JEL Codes:E32,G18,G21.

?This paper is the sole responsibility of its authors,and the views represented here do not necessarily re?ect those of the Banco de Espa?n a.We thank R.Repullo and J.M.Rold′a n for very fruitful and lively discussions about prudential banking supervisory devices.We are also grateful for the detailed comments provided by V.Salas;H.Shin,the editor;J.Segura;an anonymous referee;and participants at the BCBS/Oesterreichische Nationalbank Workshop;the Bank of England work-shop on the relationship between?nancial and monetary stability;X Reuni′o n de la Red de Investigadores de Bancos Centrales Iberoamericanos in Per′u;XX Jornadas Anuales de Econom′?a in Uruguay;Foro de Finanzas in Madrid;and FUNCAS Workshop Basilea II y cajas de ahorros in Alicante.In particular,we would like to express our gratitude for the comments of S.Carb′o,X.Freixas, M.Gordy,A.Haldane,P.Hartman,N.Kiyotaki,M.Kwast,https://www.doczj.com/doc/7c13186091.html,rra′?n,J.A. Licandro,I.van Lelyveld,P.Lowe,L.A.Medrano,J.Moore,C.Tsatsaronis, and B.Vale.Any errors that remain are entirely the authors’own.Correspond-ing author:Saurina:C/Alcal′a48,28014Madrid,Spain;Tel+34-91-338-5080; e-mail:jsaurina@bde.es.

65

66International Journal of Central Banking June2006 1.Introduction

Banking supervisors,after many painful experiences,are quite con-vinced that banks’lending mistakes are more prevalent during upturns than in the midst of a recession.1In good times both bor-rowers and lenders are overcon?dent about investment projects and their ability to repay and to recoup their loans and the corresponding fees and interest rates.Banks’overoptimism about borrowers’future prospects,coupled with strong balance sheets(i.e.,capital well above minimum requirements)and increasing competition,brings about more liberal credit policies with lower credit standards.2Thus,banks sometimes?nance negative net present value(NPV)projects only to ?nd later that the loan becomes impaired or the borrower defaults. On the other hand,during recessions—when banks are?ooded with nonperforming loans,high speci?c provisions,and tighter capital bu?ers—banks suddenly turn very conservative and tighten credit standards well beyond positive net present values.Only their best borrowers get new funds;thus,lending during downturns is safer and credit policy mistakes much lower.Across many jurisdictions and at di?erent points in time,bank managers seem to overweight concerns regarding type1lending policy errors(i.e.,good borrowers not getting a loan)during economic booms and underweight type2 errors(i.e.,bad borrowers getting?nanced).The opposite happens during recessions.

Several explanations have appeared in the literature to rational-ize?uctuations in credit policies.First of all,the classic principal-agency problem between bank shareholders and managers can feed excessive volatility into loan growth rates.Once managers obtain a reasonable return on equity for their shareholders,they may engage in other activities that depart from the?rm’s value maximization and focus more on their own rewards.One of these activities might be excessive credit growth in order to increase the social presence of the bank(and its managers)or the power of managers in a con-tinuously enlarging organization(Williamson1963).If managers are 1See,for instance,Caruana(2002),Ferguson(2004),and the numerous joint announcements by U.S.bank regulators in the late nineties warning U.S.banks to tighten credit standards.

2A loose monetary policy can also contribute to overoptimism through excess liquidity provision.

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation67 rewarded more in terms of growth objectives instead of pro?tability targets,incentives to rapid growth may result.This has been doc-umented previously by the expense preference literature and,more recently,by the literature that relates risk and managers’incentives.3 Strong competition among banks or between banks and other ?nancial intermediaries erodes margins as both loan and deposit interest rates get closer to the interbank rate.To compensate for the fall in pro?tability,bank managers might increase loan growth at the expense of the(future)quality of their loan portfolios.Excess capacity in the banking industry is being built up.Nevertheless,that will not impact immediately on problem loans,so it might encourage further loan growth.

In a more formalized framework,Van den Heuvel(2002)shows that the combination of risk-based capital requirements,an imper-fect market for bank equity,and a maturity mismatch in banks’balance sheets gives rise to a bank capital channel of monetary pol-icy.In boom periods,when banks show strong balance sheets and capital bu?ers,they overlend.However,as the expansion heads to its end,the surge in loan portfolios has eroded much of the capital bu?er;at that point,a monetary shock may trigger a decline in bank pro?ts,stringent capital ratios,and a tightening of lending standards and,subsequently,of loans available to?rms and households.4 Herd behavior(Rajan1994)might also help to explain why bank managers?nance negative NPV projects during expansions.Credit mistakes are judged more leniently if they are common to the whole industry.Moreover,a manager whose bank systematically loses mar-ket share and underperforms its competitors in terms of earnings growth increases his or her probability of being?red.Thus,managers have a strong incentive to behave as their peers,which,at an aggre-gate level,enhances lending booms and recessions.Short-term objec-tives are prevalent and might explain why banks?nance projects during expansions that,later on,will become nonperforming loans.

Berger and Udell(2004)have developed the so-called institu-tional memory hypothesis in order to explain the markedly cyclical 3For the former,see(among others)Edwards(1977),Hannan and Mavinga (1980),Akella and Greenbaum(1988),and Mester(1989).For the latter,see Saunders,Strock,and Travlos(1990),Gorton and Rosen(1995),and Esty(1997).

4Ayuso,P′e rez,and Saurina(2004)?nd evidence of this cyclical behavior of capital bu?ers.

68International Journal of Central Banking June2006 pro?le of loans and nonperforming loan losses.It states that as time passes since the last loan bust,loan o?cers become less and less skilled to grant loans to high-risk borrowers.That might be the result of two complementary forces.First,the proportion of loan o?cers that experienced the last bust decreases as the bank hires new,younger employees and the former ones retire.Thus,there is a loss of learning experience.Second,some of the experienced o?cers may forget the lessons of the past,especially as more years go by and the former recession becomes a more distant memory.5 Finally,collateral might also play a role in fueling credit cycles. Usually,loan booms are intertwined with asset booms.6Rapid increases in land,house,or share prices increase the availability of funds for those who can pledge such assets as collateral.At the same time,the bank is more willing to lend since it has an(increasingly worthier)asset to back the loan in case of trouble.On the other hand, it could be possible that the widespread con?dence among bankers results in a decline in credit standards,including the need to pledge collateral.Collateral,as risk premium,can be thought to be a signal of the degree of tightening of individual bank loan policies.7 Despite the theoretical developments and the banking supervi-sors’experiences,the empirical literature providing evidence of the link between rapid credit growth and loan losses is scant.8In this paper we produce clear evidence of a direct,although lagged,rela-tionship between credit cycle and credit risk.9A rapid increase in loan portfolios is positively associated with an increase in nonper-forming loan ratios later on.Moreover,those loans granted during 5Kindleberger(1978)contains the idea of fading bad experiences among eco-nomic agents.

6See Borio and Lowe(2002),Davis and Zhu(2004),and Goodhart,Hofmann, and Segoviano(2005).

7The Federal Reserve Board’s Senior Loan O?cer Opinion Survey on Bank Lending Practices shows the cyclical nature of bank lending standards,loan demand,and loan spreads.Asea and Blomberg(1998)?nd,with bank-level vari-ables,that the probability of collateralization increases during contractions and decreases during expansions in the United States.

8Clair(1992),Keeton(1999),and Salas and Saurina(2002)are a few excep-tions.

9Goodhart,Hofmann,and Segoviano(2005)document that credit over GDP is a good predictor of future defaults.Dell’Ariccia and Marquez(forthcoming) predict that episodes of?nancial distress are more likely in the aftermath of periods of strong credit expansion.

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation69 boom periods have a higher probability of default than those granted during periods of slow credit growth.To our knowledge,this is the ?rst time that such an empirical study,based on loan-by-loan infor-mation,relating credit-cycle phase and future problem loans is being carried out.Finally,we show that in boom periods collateral require-ments are relaxed,while the opposite happens in recessions,which we take as evidence of looser credit standards during expansions.

The three empirical avenues provide similar results:In boom periods,when lending accelerates,the seeds for problem loans are being sown.During recession periods,when banks curtail credit growth,they become much more cautious,both in terms of the quality of the borrowers and the loan conditions.Therefore,bank-ing supervisors’concerns are well rooted both in theoretical and empirical grounds and deserve careful scrutiny and a proper answer by regulators.We call the former?ndings procyclicality of ex ante credit risk,as opposed to the behavior of ex post credit risk(i.e., nonperforming loans),which increases during recessions and declines in good periods.10The issue here is to realize that lending policy mistakes occur in good times;thus,a prudential response from the supervisor might be needed at those times.

We develop a new regulatory devise speci?cally designed to cope with procyclicality of ex ante credit risk.It is a countercycli-cal,or forward-looking,loan loss provision that takes into account the former empirical results.Spain already had a dynamic provi-sion(the so-called statistical provision)with a clear prudential bias (Fern′a ndez de Lis,Mart′?nez Pag′e s,and Saurina2000).The main criticism to that provision(coming from accountants,not from bank-ing supervisors)was that resulting total loan loss provisions were excessively“?at”through an entire economic cycle.Although it shares the prudential concern of the statistical provision,the new proposal does not achieve,by construction,a?at loan loss provision through the cycle.Instead,total loan loss provisions are still higher in recessions,but they are also signi?cant when credit policies are the most lax and therefore credit risk(according to supervisors’expe-riences and our empirical?ndings)is entering at a high speed on bank loan portfolios.By making a concrete proposal,we would like 10A thorough discussion of banking regulatory tools to cope with procyclicality of the?nancial system is in Borio,Fur?ne,and Lowe(2001).

70International Journal of Central Banking June2006 to open a debate on banking regulatory tools that can contribute to dampen business-cycle?uctuations and,thus,to enhance?nancial stability.

The rest of the paper is organized as follows.Section2provides the empirical evidence on credit cycles and credit risk.Section3 explains the rationale and workings of the new regulatory tool through a simulation exercise.Section4contains a policy discussion, and section5concludes.

2.Empirical Evidence on Lending Cycles and

Credit Risk

2.1Problem Loan Ratios and Credit Growth

Salas and Saurina(2002)model problem loan ratios as a function of both macro-and microvariables(i.e.,bank balance sheet variables). They?nd that lagged credit growth has a positive and signi?cant impact on ex post credit risk measures.Here,we follow that paper in order to disentangle the relationship between past credit growth and current problem loans.Although in spirit the methodology is simi-lar,there are some important di?erences worth pointing out.First of all,we use a longer period,which allows us to consider two lend-ing cycles of the Spanish economy.Secondly,we focus more on loan portfolio characteristics(industry and regional concentration and importance of collateralized loans)of the bank rather than on bal-ance sheet variables,which are much more general and di?cult to interpret.For that,we take advantage of the information contained in the Central Credit Register(CCR)database run by Banco de Espa?n a.11The equation we estimate is the following:

NPL it=αNPL it?1+β1GDPG t+β2GDPG t?1+β3RIR t

+β4RIR t?1+δ1LOANG it?2+δ2LOANG it?3

+δ4LOANG it?4+χ1HERFR it+χ2HERFI it

+φ1COLIND it+φ2COLFIR it+ωSIZE it+ηi+εit,(1) 11Any loan above e6,000granted by any bank operating in Spain must be reported to the CCR.A detailed description of the CCR content can be found in Jim′e nez and Saurina(2004)and Jim′e nez,Salas,and Saurina(forthcoming).

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation71 where NPL it is the ratio of nonperforming loans over total loans for bank i in year t.In fact,we estimate the logarithmic transfor-mation of that ratio(i.e.,ln(NPL it/(100?NPL it)))in order to not curtail the range of variation of the endogenous variable.Since prob-lem loans present a lot of persistence,we include the left-hand-side variable in the right-hand side lagged one year.We control for the macroeconomic determinants of credit risk(i.e.,common shocks to all banks)through the real rate of growth of the gross domestic product(GDPG)and the real interest rate(RIR),proxied as the interbank interest rate less the in?ation of the period.Both vari-ables are included contemporaneously as well as lagged one year since some of the impacts might take some time to appear.

Our variable of interest is the loan growth rate,lagged two,three, and four years.A positive and signi?cant parameter for those vari-ables will be empirical evidence supporting the prudential concerns of banking regulators since the swifter the loan growth,the higher the problem loans in the future.

Moreover,we control for risk-diversi?cation strategies of each bank through the inclusion of two Her?ndahl indexes(one for region, HERFR,and the other for industry,HERFI).We also include as a control variable the size of the bank(SIZE)—that is,the market share of the bank in each period of time.Equation(1)also takes into account the specialization of the bank in collateralized loans,distin-guishing between those of?rms(COLFIR)and those of households (COLIND).

Finally,ηi is a bank?xed e?ect to control for idiosyncratic char-acteristics of each bank,constant along time.It might re?ect the risk pro?le of the bank,the way of doing business,etc.εit is a ran-dom error.We estimate model1in?rst di?erences in order to pre-vent from biasing the results due to a possible correlation between unobservable bank characteristics and some of the right-hand-side variables.Given that some of the explanatory variables might be determined at the same time as the left-hand-side variable,we use a GMM estimator(Arellano and Bond1991).

All the information from each individual bank comes from the CCR.Table1contains the descriptive statistics of the variables. The period analyzed covers two credit cycles of the Spanish bank-ing sector(from1984to2002),with an aggregate maximum for NPL around1985and,again,in1993.We focus on commercial

72International Journal of Central Banking June2006

Table1.Descriptive Statistics

Variable Mean St.Dev.Min.Max. NPL it3.945.700.0099.90 GDPG t2.901.51?1.034.83

RIR t4.142.90?0.678.12 LOANG i,t?217.3614.37?17.2971.97 LOANG i,t?317.3713.93?13.8067.82 LOANG i,t?417.5414.09?11.1064.68 HERFR it52.6824.8611.2698.87 HERFI it18.479.827.4570.26 COLIND it19.2516.280.0069.91 COLFIR it20.4712.890.0070.35 SIZE it0.591.050.008.79 Note:NPL it is the nonperforming loan ratio—that is,the quotient between nonperforming loans and total loans.GDPG t is the real rate of growth of gross domestic product.RIR t is the real interest rate,calculated as the interbank interest rate less the in?ation of the period.LOANG it is the rate of the growth of loans for bank i.HERFR it is the Her?ndahl index of bank i in terms of the amount lent to each region.HERFI it is the Her?ndahl index of bank i in terms of the amount lent to each industry.COLIND it is the percentage of fully collateralized loans to households over total loans for bank i.COLFIR it is the percentage of fully collateralized loans to?rms over total loans for bank i. SIZE it is the market share of bank i.All variables are shown in percentage points.i denotes the bank and t denotes the year.

and savings banks,which represent more than95percent of total assets among credit institutions(only small credit cooperatives and specialized?nancial?rms are left aside).Some outliers have been eliminated in order to avoid the possibility that a small number of observations,with a very low relative weight over the total sample, could bias the results.Thus,we have eliminated those extreme loan growth rates(i.e.,banks with a loan growth rate lower or higher than the5th and95th percentile,respectively).

Results appear in the?rst column of table2(labeled“Model1”). As expected,since we take?rst di?erences of equation(1)and εit is white noise,there is?rst-order residual autocorrelation and

Vol.2No.2

Credit Cycles,Credit Risk,and Prudential Regulation

73

T a b l e 2.G M M E s t i m a t i o n R e s u l t s o f E q u a t i o n (1)U s i n g D P D (A r e l l a n o a n d B o n d 1991)

M o d e l 1

M o d e l 2M o d e l 3M o d e l 4

V a r i a b l e s

C o e ?c i e n t

S E C o e ?c i e n t S E C o e ?c i e n t S E C o e ?c i e n t

S E

N P L i ,t ?1

0.55240.0887***0.55200.0889***0.54990.0841***0.54470.0833***

M a c r o e c o n o m i c C h a r a c t e r i s t i c s G D P D t

?0.06310.0135***?0.06540.0137***?0.07090.0131***?0.07160.0134***G D P G t ?1

?0.07710.0217***?0.07700.0220***?0.07500.0212***?0.07770.0209***R I R t

0.07100.0194***0.07030.0193***0.07040.0195***0.07110.0192***R I R t ?10.0295

0.0103***0.02920.0103***0.0262

0.0098***0.02630.0101***

B a n k

C h a r a c t e r i s t i c s L O A N G i ,t ?2

?0.00080.0013?0.00080.0013L O A N G i ,t ?3

0.00180.00120.00180.0012L O A N G i ,t ?4(α)

0.0034

0.0012***0.00290.0012**

|L O A N G i ,t ?2?A V E R A G E L O A N G i |0.00040.0017|L O A N G i ,t ?3?A V E R A G E L O A N G i |?0.00050.0016|L O A N G i ,t ?4?A V E R A G E L O A N G i |(β)

0.00250.0019

L O A N G i ,t ?2?A V E R A G E L O A N G t

0.00070.00120.00110.0013L O A N G i ,t ?3?A V E R A G E L O A N G t

0.00150.00130.00140.0014L O A N G i ,t ?4?A V E R A G E L O A N G t (α)

0.0025

0.0013**0.00200.0013

(c o n t i n u e d )

74

International Journal of Central Banking

June 2006

T a b l e 2(c o n t i n u e d ).G M M E s t i m a t i o n R e s u l t s o f E q u a t i o n (1)U s i n g D P D (A r e l l a n o a n d B o n d 1991)

M o d e l 1

M o d e l 2M o d e l 3M o d e l 4

V a r i a b l e s

C o e ?c i e n t S E C o e ?c i e n t S E C o e ?c i e n t S E C o e ?c i e n t S E

B a n k

C h a r a c t e r i s t i c s (c o n t i n u e d )|L O A N G i ,t ?2?A V E R A G E L O A N G t |?0.00260.0018|L O A N G i ,t ?3?A V E R A G E L O A N G t |0.00170.0017|L O A N G i ,t ?4?A V E R A G E L O A N G t |(β)

0.0029

0.0018

H E R F R i t

0.02120.0096**0.02090.0097**0.02070.0098**0.02180.0099**H E R F I i t

?0.00320.0094?0.00250.0095?0.00380.0098?0.00260.0097C O L F I R i t

0.00340.00630.00340.00630.00340.00650.00460.0065C O L I N D i t

?0.01250.0072*?0.01250.0072*?0.01410.0073*?0.01410.0074*S I Z E i t

0.01990.04820.01530.04860.02130.0475

0.0261

0.0484

T i m e D u m m i e s N o N o N o N o N o .O b s e r v a t i o n s 868868868868T i m e P e r i o d 1984–20021984–20021984–20021984–2002S a r g a n T e s t [χ(2)138]/p -v a l u e 124.760.78125.560.77

123.850.80

122.860.82

F i r s t -O r d e r A u t o c o r r e l a t i o n (m 1)?5.43?5.37?5.36?5.28S e c o n d -O r d e r A u t o c o r r e l a t i o n (m 2)?1.27

?1.4

?1.34

?1.24

T e s t A s y m m e t r i c I m p a c t (p -v a l u e )α+β=0—0.01—0.01α?β=0—0.84

0.73

N o t e :S e e n o t e i n t a b l e 1f o r a d e s c r i p t i o n o f t h e v a r i a b l e s .N P L i t ,H E R F R i t ,H E R F I i t ,C O L F I R i t ,a n d C O L I N D i t a r e t r e a t e d a s e n d o g e n o u s u s i n g t h r e e l a g s f o r N P L i t a n d t w o f o r t h e o t h e r s .R o b u s t S E r e p o r t e d .*,**,a n d ***a r e s i g n i ?c a n t a t t h e 10p e r c e n t ,5p e r c e n t ,a n d 1p e r c e n t l e v e l s ,r e s p e c t i v e l y .

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation75 not second order.A Sargan test of validity of instruments is also fully satisfactory.The results of the estimation are robust to heteroskedasticity.

Regarding the explanatory variables,there is persistence in the NPL variable.The macroeconomic control variables are both signif-icant and have the expected signs.Thus,the acceleration of GDP, as well as a decline in real interest rates,brings about a decline in problem loans.The impact of interest rates is much more rapid than that of economic activity.The more concentrated the credit port-folio in a region,the higher the problem loan ratio,while industry concentration is not signi?cant.Collateralized loans to households are less risky(10percent level of signi?cance),mainly because these are mortgages that,in Spain,have the lowest credit risk.The para-meter of the collateralized loans to?rms,although positive,is not signi?cant.The size of the bank does not have a signi?cant impact on the problem loan ratio.

Finally,regarding the variables that are the focus of our paper, the rate of loan growth lagged four years is positive and signi?cant (at the1percent level).The loan growth rate lagged three years is also positive,although not signi?cant.Therefore,rapid credit growth today results in lower credit standards that,eventually,bring about higher problem loans.

The economic impact of the explanatory variables is signi?cant. The long-run elasticity of GDP growth rate,evaluated at the mean of the variables,is?1.19;that is,an increase of1percentage point in the rate of GDP growth(i.e.,GDP grows at3percent instead of at 2percent)decreases the NPL ratio by30.1percent(i.e.,it declines from3.94percent to2.75percent).For interest rates,a100-basis-point increase brings about a rise in the NPL ratio of21.6percent. Regarding loan growth rates,an acceleration of1percent in the growth rate has a long-term impact of a0.7percent higher problem loan ratio.

We have performed numerous robustness tests.Model2(the second column of table2)tests for the asymmetric impact of loan expansions and contractions.We augment model1with the absolute value of the di?erence between the loan credit growth of bank i in year t and its average over time.All model1results hold,but it can be seen that there is some asymmetry:rapid credit growth of a bank (i.e.,above its own average loan growth)increases nonperforming

76International Journal of Central Banking June2006 loans,while slow growth(i.e.,below average)has no signi?cant impact on problem loans.12If instead of focusing on credit growth of bank i(either alone or compared to its average growth rate over time),we look at the relative position of bank i in respect to the rest of the banks at a point in time(i.e.,at each year t),we?nd that the relative loan growth rate lagged four years still has a positive and signi?cant impact on bank i’s NPL ratio(model3,third column of table2).The parameter of relative credit growth lagged three years is positive but not signi?cant.The rest of the variables keep their sign and signi?cance.Model4(the last column of table2)shows that there is asymmetry in the response of nonperforming loans to credit growth.When banks expand their loan portfolios at a speed above the average of the banking sector,future nonperforming loans increase,while there is no signi?cant e?ect if the loan growth is below the average.13Finally,the former results are robust to changes in the macroeconomic control variables(not shown).If we substitute time dummies for the change in the GDP growth rate and for the real interest rate,the loan growth rate is still positive and signi?-cant in lag4(although at the10percent level)and,again,positive (although not signi?cant)in lag3.

All in all,we?nd a robust statistical relationship between rapid credit growth at each bank portfolio and problem loans later on. The lag is around four years,so bank managers and short-term investors(including shareholders)might have incentives to foster credit growth today in order to reap short-term bene?ts to the expense of long-term bank stakeholders,including depositors,the deposit guarantee fund,and banking supervisors.

2.2Probability of Default and Credit Growth

Instead of focusing on bank-aggregated-level credit risk measures,in this section we analyze the probability of default at an individual 12Note that in model1,regression results are the same for the variable rate of growth of loans in bank i at year t as they are for the di?erence between the for-mer variable and the average rate of growth of loans of bank i along time.That is because the latter term is constant over time for each bank and disappears when we take?rst di?erences in equation(1).

13Note that the relevant test here is to test ifα+β(andα?β)is signi?cant, not each of them alone.

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation 77

loan level and its relation to the cyclical position of the bank credit policy.The hypothesis is that,for the reasons explained in section 1above,those loans granted during credit booms are riskier than those granted when the bank is reining in loan growth.That would pro-vide a rigorous empirical microfoundation for prudential regulatory devises aimed at covering the losses embedded in policies regarding rapid credit growth.

In order to test the former hypothesis,we use individual loan data from the CCR.We focus on new loans granted to non?nancial ?rms with a maturity larger than one year and keep track of them the following years.We study only ?nancial loans (i.e.,excluding receivables,leasing,etc.),which are 60percent of the total loans to non?nancial ?rms in the CCR,granted by commercial and savings banks.The equation estimated is

Pr(DEFAULT ijt +k =1)=F (θ+α(LOANG it ?averageLOANG i )

+β LOANG it ?averageLOANG i χLOANCHAR iit

+δ1DREG i +δ2DIND i +δ3BANKCHAR it +?t +ηi ),(2)where we model the probability of default of loan j ,in bank i ,some k years after being granted (i.e.,at t +2,t +3,and t +4)14as a logis-tic function [F (x )=1/(1+exp (?x ))]of the characteristics of that loan (LOANCHAR ),such as its size,maturity (i.e.,between one and three years and more than three years),and collateral (fully collateralized or no collateral);a set of control variables (i.e.,the region where the ?rm operates,DREG ,and the industry to which the borrower pertains,DIND );and the characteristics of the bank that grants the loan (BANKCHAR ),such as its size and type (i.e.,commercial or savings bank).We also control for macroeconomic characteristics,including time dummies (?t ).

We do not consider default immediately after the loan is granted (i.e.,in t +1)because it takes time for a bad borrower to reveal as

14

We consider that a loan is in default when its doubtful part is larger than the 5percent of its total amount.Thus,we exclude from default small arrears,mainly technical,that are sorted out by borrowers in a few days and that,usually,never reach the following month.The level and the evolution of the probability of default (PD)across time and ?rm size in Spain can be seen in Saurina and Trucharte (2004).On average,large ?rms (i.e.,those with annual sales above e 50million)have a PD between four and ?ve times lower than that of small and medium-sized enterprises (i.e.,?rms with annual turnover below e 50million).

78International Journal of Central Banking June2006 such.When granted a loan,a borrower takes the money from the

bank and invests it into the project.As the project develops,the

borrower is either able to repay the loan and the due interest pay-

ments or is not able to pay and defaults.Therefore,it takes time for

the default to occur.

Once we have controlled for loan,bank,and time characteris-

tics,we add the relative loan growth rate of bank i at time t with

respect to?nancial loans granted to non?nancial?rms(LOANG it?averageLOANG i)—that is,the current lending position of each bank

in comparison to its average loan growth.Ifαis positive and sig-

ni?cant,we interpret this as a signal of more credit risk in boom

periods when,probably,credit standards are low.On the contrary,

when credit growth slows,banks become much more careful in scru-

tinizing loan applications;as a result,next-year defaults decrease sig-

ni?cantly.To our knowledge,this is the?rst time that such a direct

test has been run.Additionally,we test for asymmetries in that rela-

tionship,as in the previous section.We have considered only those

banks with a loan growth rate within the5th and95th percentile,

to eliminate outliers.

It is very important to control for the great heterogeneity due to

?rm e?ects,even more because our database does not contain?rm-

related variables(i.e.,balance sheet and pro?t and loss variables).

For this reason,we have controlled for?rm(loan)characteristics

using a random e?ects model,which allows us to take into account

the unobserved heterogeneity(without limiting the sample as the

conditional model does)assuming a zero correlation between the

?rm e?ects and the rest of the characteristics of the?rm.15

Table3shows the estimation results for the pool of all loans

granted.We observe that the faster the growth rate of the bank,the

higher the likelihood to default in the following years.We observe

thatαis positive and signi?cant when we consider defaults three

and four years later,andαis positive,although not signi?cant,for

defaults two years after the loan was granted(table3,columns1,

3,and5).As mentioned before,although not reported in table3,

we control for macroeconomic characteristics,region and industry

15We have also estimated a logit model with?xed e?ects,and the results are quite similar.

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation79 Table3.GMM Estimation Results of Equation(2)Using

a Random E?ect Logit Model(Results for Pool of All

Loans Granted)

(1)(2)

Variables Coe?.SE Coe?.SE

Dependent Variable DEFAULT ijt+2(0/1)DEFAULT ijt+2(0/1)

Bank Characteristics

LOANG it?AVERAGE

LOANG i(α)0.0010.001?0.0010.001*

|LOANG it?AVERAGE

LOANG i(β)——0.0050.001*** Province Dummies Yes Yes

Industry Dummies Yes Yes

No.Observations1,823,6561,823,656

Time Period1985–20041985–2004

Wald Test[χ(2)]/p-value8,9590.009,1210.00

Test Asymmetric Impact

(p-value)

α+β=0—0.00

α?β=0—0.00

(3)(4)

Variables Coe?.SE Coe?.SE Dependent Variable DEFAULT ijt+3(0/1)DEFAULT ijt+3(0/1)

Bank Characteristics

LOANG it?AVERAGE

LOANG i(α)0.0020.001***0.0010.001 |LOANG it?AVERAGE

LOANG i|(β)——0.0010.001 Province Dummies Yes Yes

Industry Dummies Yes Yes

No.Observations1,643,7081,643,708

Time Period1985–20041985–2004

Wald Test[χ(2)]/p-value4,8000.004,8740.00 Test Asymmetric Impact

(p-value)

α+β=0—0.00

α?β=0—0.93

(continued)

80International Journal of Central Banking June2006 Table3(continued).GMM Estimation Results of

Equation(2)Using a Random E?ect Logit Model (Results for Pool of All Loans Granted)

(5)(6)

Variables Coe?.SE Coe?.SE

Dependent Variable DEFAULT ijt+4(0/1)DEFAULT ijt+4(0/1)

Bank Characteristics

LOANG it?AVERAGE0.0020.001**0.0020.002 LOANG i(α)

|LOANG it?AVERAGE——0.0000.002 LOANG i|(β)

Province Dummies Yes Yes

Industry Dummies Yes Yes

No.Observations1,433,0741,433,074

Time Period1985–20041985–2004

Wald Test[χ(2)]/p-value2,9920.003,054

Test Asymmetric Impact

(p-value)

α+β=0—0.04

α?β=0—0.55

Note:DEFAULT is a dummy variable that takes1if the loan is doubtful and0other-wise.LOANG it is the growth rate of all?nancial credits granted to?rms for bank i.We also control for bank size and type(i.e.,commercial or savings)and for loan characteristics (i.e.,size,maturity,and collateral).Region,industry,and time dummies have been included. *,**,and***are signi?cant at the10percent,5percent,and1percent levels,respectively.

of the borrowing?rm,size and type of the bank lender,and,?nally, for size,maturity,and collateral of the loan granted.

We have also investigated if there is an asymmetric impact of loan growth over defaults(columns2,4,and6in table3).In good times,when loan growth of each bank is above its average,we?nd a positive and signi?cant impact on future defaults(two,three,and four years later).However,in bad times,with loan growth below the bank’s average,there is no impact on defaults.Thus,this asymmet-ric e?ect reinforces the conclusions about too-lax lending policies during booms.

To test the robustness of the former results,table4shows the estimation of the model when the loan growth rate of the bank is introduced without any comparison to its average value.The results obtained are exactly the same:there is no e?ect on the probability of

Vol.2No.2

Credit Cycles,Credit Risk,and Prudential Regulation

81

T a b l e 4.G M M E s t i m a t i o n R e s u l t s o f E q u a t i o n (2)U s i n g a R a n d o m E ?e c t L o g i t M o d e l (L o a n G r o w t h R a t e o f B a n k I n t r o d u c e d w i t h o u t C o m p a r i s o n t o I t s A v e r a g e V a l u e )

V a r i a b l e s

C o e ?.

S E C o e ?.S E C o e ?.

S E

D e p e n d e n t V a r i a b l e

D E F A U L T i j t +2(0/1)

D E F A U L T i j t +3(0/1)

D E F A U L T i j t +4(0/1)

B a n k

C h a r a c t e r i s t i c s L O A N G i t

0.001

0.0010.0020.001***

0.0020.001***

P r o v i n c e D u m m i e s Y e s Y e s Y e s I n d u s t r y D u m m i e s Y e s Y e s Y e s N o .O b s e r v a t i o n s 1,823,6561,643,7081,433,074T i m e P e r i o d 1985–20041985–20041985–2004W a l d T e s t [χ(2)]/p -v a l u e

8,9660.004,8020.002,987

0.00

N o t e :D E F A U L T i s a d u m m y v a r i a b l e t h a t t a k e s 1i f t h e l o a n i s d o u b t f u l a n d 0o t h e r w i s e .L O A N G i t i s t h e g r o w t h r a t e o f a l l ?n a n c i a l c r e d i t s g r a n t e d t o ?r m s f o r b a n k i .W e a l s o c o n t r o l f o r b a n k s i z e a n d t y p e (i .e .,c o m m e r c i a l o r s a v i n g s )a n d f o r l o a n c h a r a c t e r i s t i c s (i .e .,s i z e ,m a t u r i t y ,a n d c o l l a t e r a l ).R e g i o n ,i n d u s t r y ,a n d t i m e d u m m i e s h a v e b e e n i n c l u d e d .*,**a n d ***a r e s i g n i ?c a n t a t t h e 10p e r c e n t ,5p e r c e n t ,a n d 1p e r c e n t l e v e l s ,r e s p e c t i v e l y .

82International Journal of Central Banking June2006 default in t+2and a positive and signi?cant one on the likelihood of default in t+3and t+4.

In terms of the economic impact,the semi-elasticity of the credit growth is0.13percent for default in t+3(0.13percent in t+4),16 which means that if a bank grows1percentage point,then the like-lihood of default in t+3is increased by0.13percent(0.13percent in t+4).If a bank was expanding its loan portfolio at one standard deviation above the average rate of growth,the impact would be 1.9percent(1.9percent).Thus,the economic impact estimated is low for the period analyzed and the sample considered,despite the signi?cance of the variables.

All in all,the previous results show that in good times,when credit is growing rapidly,credit risk in bank loan portfolios is also increasing.

2.3Collateral and Credit Growth

This section provides evidence of the behavior of banks in terms of their credit policies along the business cycle.The argument so far has been that too-rapid credit growth comes with lower credit stan-dards and,later on,manifests in a higher number of problem loans. Here,we provide some complementary evidence based on the tight relationship between credit cycles and business cycles.We argue that banks adjust their credit policies depending on the business-cycle position.For instance,in good times,banks relax credit stan-dards and are prepared to be more lenient in collateral requirements. On the other hand,when a recession arrives,banks toughen credit conditions and,in particular,collateral requirements.

If the hypothesis presented in the former paragraph is true,we would have complementary evidence to support prudential regula-tory policies.If it is true that,during boom times,loan portfolios are increasingly loaded with higher expected defaults,then it should also be true that other protective devises for banks,such as collateral,are eroded.17The following equation allows us to test the relationship between collateral and economic cycle.

16The marginal e?ect of the k-variable is computed as ME

k =d[Pr ob(y=1|ˉx)]

dx k

=

Λ(?βˉx)[1?Λ(?βˉx)]?βk.Then,the semi-elasticity is given by ME k/Average Default. 17It might also be the case that,during good times,banks decrease credit risk spreads in their granted loans partially as a result of overoptimism and tight

Vol.2No.2Credit Cycles,Credit Risk,and Prudential Regulation83

Pr(Collateral ijklt=1)=F(θ+αGDPG t?1

+β|GDPG t?1?Average GDP|+Control Variables ijklt)(3)

A full description of model3and its control variables is in Jim′e nez,Salas,and Saurina(forthcoming).Here we only focus on the impact of GDP growth on collateral,controlling for the other determinants of collateral.The variable on the left-hand side takes the value of1if the loan is collateralized and0otherwise. j refers to the loan,i refers to the bank,k refers to the market, l refers to the?rm(borrower),and t refers to the time period(year). We estimate equation(3)using a probit model.As control vari-ables,we use borrower characteristics(i.e.,if they were in default the year before or the year after the loan was granted,their indebt-edness level,and their age as a borrower),bank characteristics(size, type of bank,and its specialization in lending to?rms),character-istics of the borrower-lender relationship(duration and scope),and other control variables(such as the level of competition in the loan market,the size of the loan,and the industry and region of the borrower).18

The database used is the CCR.We focus on all new?nancial loans above e6,000with a maturity of one year or more,granted by any Spanish commercial or savings bank to non?nancial?rms every year during the time period between December1984and December 2002.We exclude commercial loans,leasing,factoring operations, and o?-balance-sheet commitments for homogeneity reasons.

The?rst column in table5shows the results of estimating model3for the pool of loans,nearly two million loans.There is a negative and signi?cant relationship between GDP growth rates and collateral;that is,in good times banks lower collateral require-ments,and they increase them in bad times.In terms of the impact, the semi-elasticity of GDPG is?3.1percent,which means that an competition among banks.The opposite would happen in bad times,when bank managers would tighten credit spreads.Unfortunately,our database does not allow us to test this hypothesis.

18Jim′e nez,Salas,and Saurina(forthcoming)contains a similar analysis on a di?erent sample of loans and using a di?erent estimation procedure(i.e.,?xed e?ects).

公众投资者信息获取与风险态度等方面的影响

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三、社会可接受风险标准 1 10100 10001x10 -9 1x10-8 1x10-7 1x10-6 1x10-5 1x10-4 1x10-31x10-2 1x10 -1 我国社会可接受风险标准图 附录:1.相关术语 2.危险化学品生产、储存装置外部安全防护距离推荐方法 死亡人数N (人) 累积频率F (次/年) 不可接受区 尽可能降低区 可接受区

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投资者风险测评问卷(个人版)及评分标准

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材料的真实性、准确性、完整性负责。

本公司建议:当您的各项状况发生重大变化时,需对您所投资的私募基金产品及时进行重新审视,以确保您的投资决定与您可承受的投资风险程度等实际情况一致。 本公司在此承诺:对于您在本问卷中所提供的一切信息,本公司将严格按照法律法规要求承担保密义务。除法律法规规定的有权机关依法定程序进行查询以外,本公司保证不会将涉及您的任何信息提供、泄露给任何第三方,或者将相关信息用于违法、不当用途。 测试题目(所有题目均为单选,请在选定答案上打“√”) 1、您的主要收入来源是: A、工资、劳务报酬 B、生产经营所得 C、利息、股息、转让等金融性资产收入 D、出租、出售房地产等非金融性资产收入 E、无固定收入 2、您的家庭可支配年收入为(折合人民币) : A、50万元以下 B、50—100万元 C、100—500万元 D、500—1000万元 E、1000万元以上

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危化品生产、储存个人和社会可接受风险基准值

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接受风险和社会可接受风险作为确定外部安全防护距离和土地使用规划的依据。 个人可接受风险基准:国际上通常采用国家人口分年龄段死亡率最低值乘以一定的风险可允许增加系数,作为个人可接受风险的基准值。荷兰、英国中国香港等不同国家(地区)具体实例,见表1。 表1 不同国家(地区)所制定的个人可接受风险基准 社会可接受风险基准:国际上通常采用危险化学品生产、储存装置发生火灾、爆炸、中毒事故时,可能造成周边民众和社区群死群伤事故的累积频率来确定,通常由频率(F)/死亡人数(N)曲线体现。荷兰、英国、中国香港等不同国家(地区)具体实例,见图1。 图1 不同国家(地区)制定的社会可接受风险标准

投资者风险评估问卷

“投资收益权权益” 风险属性评估问卷 (自然人适用) 一、关于这份问卷: 本问卷调查表旨在协助投资人了解自身的投资状况,主要包括投资偏好、风险承受能力及风险认知能力等方面,问卷结果不能完全呈现投资人自身投资状况及在面对投资风险时的真正态度,但是可以向投资人提供一些衡量自身风险属性的指标。 二、问卷题目: 1、您目前的年龄? a. 小于25岁;(3分) b. 25-40岁之间(5分) c. 41-60岁之间(4分) d. 大于60岁(1分) 2、您当前的资产主要构成情况? a. 只有银行存款(活期或者定期);(1分) b. 主要是银行存款,还有少量国债和基金、蓝筹股;(2分) c. 既有股票、基金、股票、理财产品,也有银行存款,前后两者各半;(3分) d. 以期货等金融衍生产品和股票投资为主。(5分) 3、您当前用家庭资产多少比例进行投资? a. 10%之内的资产;(1分) b. 10-20%之间;(2分) c. 25-50%之间;(3分) d. 超过50%。(5分) 4、如果有个为期1年投资项目可参与,投资成功的概率是50%,一旦成功 可获得4倍收益,一旦失败则本钱全部损失,对这样的投资您愿意投入的资金量是多少? a. 一分也不投入;(0分) b. 1个月的收入;(2分) c. 3个月的收入;(3分) d. 6个月或超过6个月的收入。(5分)

5、往往高收益的基金或理财产品伴随着高风险,您准备承担多大的风险? a. 不愿意让我的钱有任何损失;(1分) b. 因为基金有潜在的增值功能,我愿意承担一定的风险;(2分) c. 很愿意通过长期投资使资产增值保值,也愿意在此过程中承担风险;(4分) d. 我愿意投资最具增长潜力的产品,也愿意为了更高的收益承受大幅度的风险变动。(5分) 6、请问您投资价格波动性的产品有多少年的经验?(具有价格波动的产品包括股票、基金、外汇、期权期货等金融产品) a. 7-10年(5分) b. 4-7年(3分) c. 1-3年(2分) d. 从来没有或刚刚开始(1分) 7、通常情况下您一笔投资预备持有的期限是多久? a. 长期——超过7年;(5分) b. 中期——4年到7年(3分) c. 中短期——1年到3年(2分) d. 短期——1年内(1分) 8、一年中您能最能接受的资产波动范围是? a. 最多盈利10%,最大亏损5%;(1分) b. 最多盈利20,最大亏损15%;(3分) c. 最多盈利40%,最大亏损30%;(4分) d. 最多盈利60%,最大亏损50%(5分) 9、您此次投资的目的是? a. 就希望能每年分红或者获得固定的收益;(1分) b. 希望能获得分红并实现资产的部分升值;(2分) c. 两者各半;(3分) d. 主要是为了资产升值;(4分) e. 为了资产大幅升值。(5分) 10、如果您刚刚投资就遇到市场调整,您能承受的损失大概是多少? a. 5%以内;(1分) b. 6-20%(2分) c. 21-40%(4分) d. 超过40%(5分)

3 仿真的定义和分类

第三篇仿真的定义和分类 计算机仿真技术是以数学理论、相似原理、信息技术、系统技术及其应用领域有关的专业技术为基础,以计算机和各种物理效应设备为工具,利用系统模型对实际的或设想的系统进行试验研究的一门综合性技术。 雷诺(T.H.Naylor)定义:“仿真是在数字计算机上进行试验的数字化技术,它包括数字与逻辑模型的某些模式,这些模型描述某一事件或经济系统(或者它们的某些部分)在若干周期内的特征。” 系统仿真是建立在控制理论、相似理论、信息处理技术和计算技术等理论基础之上的,以计算机和其它专用物理效应设备为工具,利用系统模型对真实或假想的系统进行试验,并借助于专家经验知识、统计数据和信息资料对试验结果进行分析研究,进而做出决策的一门综合性的和试验性的学科。 连续系统仿真及离散事件系统仿真。 系统仿真分为物理仿真、数学仿真及物理--数学仿真(又称半物理仿真或半实物仿真)。 根据国际标准化组织(ISO)标准中的《数据处理词汇》部分的名词解释,“模拟”(Simulation)与“仿真”(Emulation)两词含义分别为:“模拟”即选取一个物理的或抽象的系统的某些行为特征,用另一系统来表示它们的过程。“仿真”即用另一数据处理系统,主要是用硬件来全部或部分地模仿某一数据处理系统,以致于模仿的系统能像被模仿的系统一样接受同样的数据,执行同样的程序,获得同样的结果。鉴于目前实际上已将上述“模拟”和“仿真”两者所含的内容都统归于“仿真”的范畴,而且都用英文Simulation一词来代表。 计算机仿真技术综合集成了计算机、网络技术、图形图像技术、面向对象技术、多媒体、软件工程、信息处理、自动控制等多个高新技术领域的知识。 计算机仿真技术是以数学理论、相似原理、信息技术、系统技术及其应用领域有关的专业技术为基础,以计算机和各种物理效应设备为工具,利用系统模型对实际的或设想的系统进行试验研究的一门综合性技术。 计算机仿真技术的应用已不仅仅限于产品或系统生产集成后的性能测试试验,仿真技术已扩大为可应用于产品型号研制的全过程,包括方案论证、战术技术指标论证、设计分析、生产制造、试验、维护、训练等各个阶段。仿真技术不仅仅应用于简单的单个系统,也应用于由多个系统综合构成的复杂系统。 系统仿真的定义 仿真界专家和学者对仿真下过不少定义。艾伦(A.Alan)在1979年8月出版的“仿真”期刊上对众多的定义进行了综述,其中雷诺(T.H.Naylor)于1966年在其专著中对仿真作了如下定义:“仿真是在数字计算机上进行试验的数字化技术,它包括数字与逻辑模型的某些模式,这些模型描述某一事件或经济系统(或者它们的某些部分)在若干周期内的特征。”其它一些定义只对仿真作一些概括的描述:仿真就是模仿真实系统;仿真就是利用模型来作实验等等。从这些有关仿真的定义中不难看出,要进行仿真试验,系统和系统模型是两个主要因素。同时由于对复杂系统的模型处理和模型求解离不开高性能的信息处理装置,而现代化的计算机又责无旁贷地充当了这一角色,所以系统仿真(尤其是数学仿真)实质上应该包括三个基本要素:系统、系统模型、计算机。而联系这三项要素的基本活动则是:模型建立、仿真模型建立和仿真试验。参见图3.1。

投资者风险态度与羊群行为的理论分析_古远平

投资者风险态度与羊群行为的理论分析 古远平 (广东证券股份有限公司,广东 510000) 摘要:本文从投资者的期望效用函数出发,建立模型研究了投资者的风险态度变化与其羊群行为的关系。模型假设一部分投资者提前获得内部信息,他们的交易推动股票价格上涨,股票价格上涨通过两个渠道影响没有获得该信息的投资者的风险态度:股票账面价值增加和期望收益率的上升。结合行为金融学的研究成果,模型得出的结论是随着股票账面价值的增加和股票期望收益率的上升,如果未提前获得信息的投资者的风险厌恶程度降低,那么他就会表现出羊群行为。 关键词:羊群行为;风险厌恶;期望效用;投资;股票 中图分类号:F 830 文献标识码:A 文章编号:1004—3926(2005)06—0279—05 收稿日期:2005-03-01 作者简介:古远平(1972-),男,广东五华人,就职于广东证券股份有限公司。 一、引言和基本模型 有效市场假设(e f f i c i e n tm a r k e th y p o t h e s i s ,E M H )认为股价能反映所有的相关信息。即使股价在短期内可能偏离股票的基本价值,但随着时间的流逝,投资者获取的信息越来越全面,因此,股价最终必定回归其基本价值。然而,有关投资者羊群行为的研究成果挑战了这一结论。研究羊群行为的文献证明了理性投资者在时间上前后相互作用可以导致羊群行为,这阻止了投资者了解股票的基本价值,从而使股票价格在长期也可能偏离其基本价值。 A v e r y 和Z e m s k y (1998)把投资者的羊群行为定义为:某个拥有私人信息的投资者在期初作出了不买(不卖)资产的决定,如果在观察到其他投资者买入(卖出)该资产时,他也决定买入(卖出)该资产,那么他就呈现出买方羊群行为;如果在观察到其他投资者卖出(买入)该资产时,他决定买入(卖出)该资产,那么他呈现买方反向行为(c o n t r a r i a nb e h a v -i o r )。S i a s (2004)对羊群行为的定义是一群投资者在一段时间内相互跟着对方买入(或卖出)同一证券。从这两个定义可以看出,羊群行为的本质特征是投资者买入或卖出股票的行为不是对股票基本价值的反应,而是基于市场上其他投资者的交易行为。在本文我们也采用这一定义。 现有研究理性羊群行为的理论文献很多是假设投资者的目标函数是期望收益最大化,而在本文中我们假设投资者是理性的风险厌恶者,其目标函数是期望效用最大化。这样做的好处是我们可以分析 投资者风险态度的变化是怎样导致羊群行为。然而,对投资者风险态度变化的把握已经涉及到了心 理学和社会学,更深入的研究可能要借助试验经济学的方法。 我们的模型与A v e r y 和Z e m s k y (1998)的模型设定的前提条件相似,即股票市场存在两类投资者:H 和L 。H 类投资者拥有非常精确的信息(或者说是“内部信息”),L 类投资者拥有不精确的信息。两类投资者都不知道对方的数量和身份。本文模型中的时间逻辑是:在时期0,H 和L 根据期望效用最大化原则在股票和银行存款上分配资金比例,购买股票的数量由该只股票的期望收益率、投资者资金成本与投资的风险态度三者共同决定。在时期1,H 收到一个有关某只股票基本价值的正面信息①[1] ,其交易行为推动该只股票价格上涨,股票价格并不能准确反应H 的私人信息。在时期2,L 还没有获得该只股票基本价值的信息,但他能观察到股票价格上涨,此时L 做出买入、卖出和不买不卖股票的决定。根据羊群行为定义,如果L 买入该只股票,那么他就表现出羊群行为;如果L 卖出该只股票,那么他就表现出反向行为。 L 的效用函数的设定:L 的效用函数u (w )在给定的定义域内连续,一阶、二阶可微。L 对收入具有不满足性,收入越高,满足程度越高,所以收入的边际效用u '(w )>0,但随着收入的增高,收入的边际效用递减,即u "(w )<0。L 在时期0可用于投资的资金数量为C 。为了分析的简便,假设L 把资金的一部分存于银行,获得无风险利率,另一外部分用

基于模型定义的数据组织与系统实现

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