Binomial and continuous model, Applied Statistics

Exercise: (Binomial and Continuous Model.) Consider a binomial model of a risky asset with the parameters r = 0:06, u = 0:059, d =  0:0562, S0 = 100, T = 1, 4t = 1=12. Note that u and d are monthly e ective rates of return and r is the annual e ective risk-free interest rate.

Determine the price of a European put option with strike price X = 98 on the above non-dividend paying asset at time 0 and nd x(1); y(1), i.e., the number of shares of the stock and risk-free asset needed at time 0 to replicate the European option over the rst time-step.

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