You use the following information to construct a binomial forward tree for modeling the price movements of
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You use the following information to construct a binomial forward tree for modeling the price movements of a nondividend-paying stock:
(i) The length of each period is 6 months.
(ii) The current stock price is 80.
(iii) The stock’s volatility is 30%.
(iv) The continuously compounded risk-free interest rate is 8%.
Calculate the price of a 1-year at-the-money geometric average price Asian European call option on the stock, with the average calculated based on ending 6-month stock prices (not including the initial stock price).
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