Question: your options are increase or decrease where it says select. Consider the following data relevant to valuing a European-style call option on a nondividend-paying stock:
your options are increase or decrease where it says select.
Consider the following data relevant to valuing a European-style call option on a nondividend-paying stock: X = 40, RFR = 9%, T = six months (i.e., 0.5), and = 0.30.
Compute the Black-Scholes option and hedge ratio values for the series of hypothetical current stock price levels shown below. You may use Appendix D to answer the question. Do not round intermediate calculations. Round the Black-Scholes option values to the nearest cent and the hedge ratio values to four decimal places.
| Stock Price | Call | Hedge Ratio | ||
| $25 | $ | |||
| $30 | $ | |||
| $35 | $ | |||
| $40 | $ | |||
| $45 | $ | |||
| $50 | $ | |||
| $55 | $ | |||
Determine how your answer in Part a would differ under the following separate circumstances: (1) the time to expiration increases, and (2) the volatility of a nondividend-paying stock increases.
An increase in time to expiration causes a(an) -Select- in the call value. An increase in the volatility causes a(an) -Select- in the call value.
For S = 40, calculate the Black-Scholes value for a European-style put option. How much of this value represents time premium? Do not round intermediate calculations. Round your answers to the nearest cent.
Put value: $
Time premium: $
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