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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