Question: The payoff from a derivative will occur in 7 years. It will equal the average of the one-year risk-free interest rates observed at times 1,

The payoff from a derivative will occur in 7 years. It will equal the average of the one-year risk-free interest rates observed at times 1, 2, 3, 4, 5, 6, and 7 years applied to a principal of $1 mill. The risk-free yield curve is flat at 3% with annual compounding and the volatilities of all rates are 25%. Assume perfect correlation between all rates. What is the value of the derivative?

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