#4: Prove the formula for converting from a periodically compounded interest rate with a compounding frequency of k to one with a compounding frequency of m, rk Tm(t) = m(1 + Tk(t))"/ m from the condition that the future value of $1 is the same under both interest rates. #4: Prove the formula for converting from a periodically compounded interest rate with a compounding frequency of k to one with a compounding frequency of m, rk Tm(t) = m(1 + Tk(t))"/ m from the condition that the future value of $1 is the same under both interest rates