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Derive the formulas to calculate modified duration and convexity measure for a perpetuity. Know that the present value, or price, of a perpetuity is C

Derive the formulas to calculate modified duration and convexity measure for a
perpetuity. Know that the present value, or price, of a perpetuity is C/y, where C is the
cash flow per year and y is the yield per year. How would the answer be different if the
payment frequency is semiannually versus annually?

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