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In an annual-pay cap the Black volatilities for caplets with maturities one, two, three, and five years are 18%, 20%, 22%, and 20%, respectively. Estimate

In an annual-pay cap the Black volatilities for caplets with maturities one, two, three, and five years are 18%, 20%, 22%, and 20%, respectively. Estimate the volatility of a one-year forward rate in the LIBOR Market Model when the time to maturity is (a) zero to one year, (b) one to two years, (c) two to three years, and (d) three to five years.

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