Assume the BlackScholes framework. Let S(t) denote the price at time t of a nondividend-paying stock. Consider

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Assume the BlackScholes framework. Let S(t) denote the price at time t of a nondividend-paying stock.

Consider a European gap option which matures in one year. If the one-year stock price is greater than $100, the payoff is S(1) – 90;

Otherwise, the payoff is zero. You are given: 

(i) S(0) = $80. 

(ii) The stock’s volatility is 30%. 

(iii) The continuously compounded risk-free interest rate is 8%. 

Calculate the price of the gap option. 

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