题目内容

Consider a 1-year European call option with an exercise price of EUR 70. The price of the underlying non-dividend-paying stock is EUR 75 and the annual risk-free rate is 4%. The following estimates have been made:Black-Scholes-Merton model $N(d_1)$ = 45%Risk-neutral probability of not exercising the call option at maturity = 63%Which of the following is closest to the price if the call option?

A. EUR 8.87
B. EUR 9.89
C. EUR 10.75
D. EUR 12.32

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The stock is trading at USD20.TheEuropeancallonthe USD10 strike expiring in 1 months is actively trading at USD 9. What trade do you want to execute?

A. Need to know the dividends
Buy the call
C. Sell the call
D. Need to know the interest rates
E. Need to know the counterparty

‍‍How is historical trading-day volatility measured?Step 1:A) Calculate the absolute change in closing prices as the data set.B) Calculate the percentage change in closing prices as the data set.Step 2:C) Calculate the standard deviation of the data set.D) Calculate the variance of the data set.‍Step 3:E) Multiply it by$\sqrt{252}$.F) Multiply it by$\sqrt{365‍}$.‍‍

A, D, E
B. A, C, F
C. B, C, F
D. A, D, F
E. B, D, E
F. B, C, E
G. B, D, F
H. A, C, E

When would you want to early exercise an American call?

A. When you have made money on it
B. When the dividend payment outweighs the sum of the insurance and saved interest value
C. When the call is in-the-money
D. Never
E. When the put on the same strike/expiry has delta 0

The current price of a 6-month, USD 30.00 strike price, European-style put option on a stock is USD 4.00. The current stock price is USD 32.00. A special one-time dividend of USD 0.75 per share is expected in 3 months. The continuously compounded risk-free rate for all maturities is 3.5% per year. Which of the following is closest to the no-arbitrage value of a European-style call option on the same underlying stock with a strike price of USD 30.00 and a time to maturity of 6 months?

A. USD 2.22
B. USD 5.26
C. USD 5.78
D. USD 6.52

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