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This is the digital call option formula you have to use: 5. (a) Suppose that a stock currently trades for $100, that the risk-free interest

image text in transcribedThis is the digital call option formula you have to use:

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5. (a) Suppose that a stock currently trades for $100, that the risk-free interest rate is 2% per annum, and European call options with expiry in 1 year have strike prices of $115 and $130, and currently trade for $2.15 and $0.36, respectively. Use a 1-period binomial tree to estimate the present value of a digital call option (on the same stock with the same expiry) with a strike price of $110. V0=erTCgf(Sn)+(1g)f(Sd)] (b) Calculate the drift of the stock in the above model if the probability that the stock price rises is p=0.80. 5. (a) Suppose that a stock currently trades for $100, that the risk-free interest rate is 2% per annum, and European call options with expiry in 1 year have strike prices of $115 and $130, and currently trade for $2.15 and $0.36, respectively. Use a 1-period binomial tree to estimate the present value of a digital call option (on the same stock with the same expiry) with a strike price of $110. V0=erTCgf(Sn)+(1g)f(Sd)] (b) Calculate the drift of the stock in the above model if the probability that the stock price rises is p=0.80

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