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# Derivative Security Analysis

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Consider the following questions on the pricing of options on the stock of Hatters Yachts.

a. A share of Hatteras Yachts sells for \$65 and has a standard deviation of 20 percent. The current risk-free rate is 4 percent and the stock pays two dividends: (1) \$1.00 just prior to the option's expiration date, which is 91 days from now (exactly one-quarter of a year); and (2) a \$1.00 dividend 182 days from now (i.e., exactly one-half year). Calculate the Black-Scholes value for a European-style call option with an exercise price of \$60.

b. What would be the price of a 91-day European-style put option on Hatteras Yachts having the same exercise price?

c. Calculate the change in the call option's value that would occur if Hatteras' management suddenly decided to suspend dividend payments and this action had no effect on the price of the company's stock?

#### Solution Preview

Part a) To calculate the price of the call, we use the black scholes calculator here: http://www.blackscholes.net/

Current price = 65
Exercise price = 60
Expected time to expire = 0.25
risk free = 4
dividend per share = 3.08% (this is ...

#### Solution Summary

Derivative security analysis is provided in the solution

\$2.19