FRM一级模考

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FRM一级模拟题
1 . What is the lower pricing bound for a European call option with a strike price of 80 and one year until expiration? The price of the underlying asset is 90, and the. 1-year interest rate is 5% per annum. Assume continuous compounding of interest.
A. 14.61
B. 13.90
C. 10.00
D. 5.90
Answer: B
The lower bound is the difference between the stock price and the present value of the strike price
2 . The price of an American call stock option is equal to an otherwise equivalent European call stock option at time t when:
I The stock pays continuous dividends from t to option expiration T. .
. II The interest rates follow a mean-reverting process between t and T. .
III The stock pays no dividends from t to option expiration T.
IV Interest rates are non-stochastic between t and T.
A. II and IV
B. III only
C. I and III .
D. None of the above; an American option is always worth more than a European option. Answer: B
The only economic reason to exercise early is if the stock pays a dividend, and the full effect of the dividend payment is not expressed in a change in 'the stock price. If the stock does not pay a dividend, the price of an American option should be equal to the price of a European option. If the position pays a continuous dividend, the stock price will be adjusted for the value of the dividend
3 . The current price for shares of ABC Co. is $100 and they pay no dividends. Interest rates are 6.00% per (annual 30/360), i.e. a completely flat yield curve. What is the approximate price of a perpetual call option with a strike price of 100 0n I share of ABC, if the call will be automatically exercised only when ABC reaches $150?
A. $18
B. $25
C. $33
D. $50
Answer: C
With a flat yield curve and a rate of 6%, it will take 7 years for the FV of $100 to teach $150. The present value of $50 received in 7 years at 6 percent is $33.3. You can relate this without the use of the interest rate:
4 . Which statement is false about the value of an option?
A. At expiration, its premium equals intrinsic value.
B. Before expiration, its premium is the sum of time and intrinsic value.
C. It is determined by an option-pricing model.
D. Intrinsic value is the difference between the market price and the strike price. Answer: C
A case can be made for answer C based upon semantics; it can be argued that models don't determine values. The value of an option is the market price at which it trades.
5 . A six-month call option sells for $30, with a strike price of $120. lf the stock price is $100 per share and the risk-free interest rate is 5%, what is the price of a 6-month put option with a strike price of $120?
A. $39.20
B. $44.53 .
C. $46.28
D. $47.04
Answer: D。