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The S&P 500 is currently at 2888. The CBOE far-term VIX (^vif) is at 13.15, and the one-year LIBOR rate is 2.75%. Assuming that the

  1. The S&P 500 is currently at 2888. The CBOE far-term VIX (^vif) is at 13.15, and the one-year LIBOR rate is 2.75%. Assuming that the far-term VIX is the right volatility for one-year options, what is the value of a derivative that pays off $1000 if the S$P 500 is above 2900 one year from today? Assume the dividend yield for the index is 1% per year.

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