Question
Consider a 2-year European call with strike price $100. The current stock price is $100 and the stock price can move either up or down
Consider a 2-year European call with strike price $100. The current stock price is $100 and the stock price can move either up or down by 30% once during the life of the option (that is, u = 1.3 and d = 0.7). The risk-free interest rate is 4% per annum. This time, we want to use the DCF approach to determine the option price. Risk-averse investors require the return on stock to be 10% per annum.
(a) What is the real probability p of an increase in the stock price?
(b) What is the discount rate for the call option in DCF? Find the annual rate rcall in continuous compounding.
(c) What is the current price of the call from DCF?
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