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All have same present value of P: A perpetuity-immediate of 2 per year at an annual effective interest rate of i. A 20-year annuity-immediate with

All have same present value of P: A perpetuity-immediate of 2 per year at an annual effective interest rate of i. A 20-year annuity-immediate with payments of X per year at an annual effective interest rate of 2i. A 20-year annuity-due with payments of 0.96154X per year at an annual effective interest rate of 2i. Calculate P.

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