You are given: (i) The current price of a stock is 100. (ii) The stock pays dividends

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You are given:

(i) The current price of a stock is 100.

(ii) The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 1%.

(iii) The continuously compounded risk-free interest rate is 2%.

(iv) The price of a forward start option which, 2 years from today, will give its owner a 1-year European call option with a strike price equal to the stock price at that time is 6.89.

Calculate the price of a forward start option which, 2 years from today, will give its owner a 1-year European put option with a strike price equal to the stock price at that time.

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