What is the value of a derivative that pays off $100 in 6 months if the S&P 500 index is

Chapter 26, Problem 26.18

(choose chapter or problem)

What is the value of a derivative that pays off $100 in 6 months if the S&P 500 index is greater than 1,000 and zero otherwise? Assume that the current level of the index is 960, the risk-free rate is 8% per annum, the dividend yield on the index is 3% per annum, and the volatility of the index is 20%.

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