Problem 13-9. Consider an option on a non-dividend-paying stock when the stock price is $40,...

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Finance

Problem 13-9.

Consider an option on a non-dividend-paying stock when the stock price is $40, the exercise price is $38, the risk-free interest rate is 3% per annum, the volatility is 25% per annum, and the time to maturity is four months.

  1. What is the price of the option if it is a European call?

  2. What is the price of the option if it is an American call?

  3. What is the price of the option if it is a European put?

  4. Verify that putcall parity holds.

Problem 13-10.

Assume that the stock in Problem 13-9 is due to go ex-dividend in 1.5 months. The expected dividend is 60 cents. (Hint: The present value of the dividend stream occurring during the life of the option is relevant.)

a.What is the price of the option if it is a European call?

b.What is the price of the option if it is a European put?

c.Use the results in the Appendix to this chapter to determine whether there are any circumstances under which the option is exercised early.

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