(i) The length of each period is one year. (ii) The current stock price is $100.
ID: 2612765 • Letter: #
Question
(i) The length of each period is one year.
(ii) The current stock price is $100.
(iii) The stock’s volatility is 35%.
(iv) The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 5%.
(v) The continuously compounded risk-free interest rate is 10%.
A one-year European call option on the stock has a strike price of $90.
The continuously compounded expected rate of return on the call option is 20.5%.
Determine the continuously compounded expected rate of return on the stock:
Explanation / Answer
solution.
Expected Rate of Return = (Probability of Outcome x Rate of Outcome) + (Probability of Outcome x Rate of Outcome)
= (.90 x10.5)
= 9.45%
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