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Find the Macauley duration D and the Modified Duration of a perpetuity that pays A at the beginning of each future year, starting one year

Find the Macauley duration D and the Modified Duration of a perpetuity that pays A at the beginning of each future year, starting one year from now. Assume an interest rate r compounded annually.

You just need to use symbols to express the formula and no need to use some specific numbers. Thank you very much.

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