Question

In a binomial tree model, S0=32. In the next period, ST is either 35 or 30....

In a binomial tree model, S0=32. In the next period, ST is either 35 or 30. Assume interest rate is 0. Calculate the price of a call option with strike equal to 31.

A. 0.6 B. 1 C. 1.6 D. 2

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Answer #1

Price of call=(probability of upmove*Call payoff in upmove+(1-probability of upmove)*Call payoff in downmove)/(1+r)=((1-30/32)/(35/32-30/32)*MAX(35-31,0)+(1-(1-30/32)/(35/32-30/32))*MAX(30-31,0))/(1+0)=$1.60000

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