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A perpetuity-immediate pays P per year. Immediately after the twelfth payment, the perpetuity is exchanged for a 25-year annuity- immediate that will pay X at
A perpetuity-immediate pays P per year. Immediately after the twelfth payment, the perpetuity is exchanged for a 25-year annuity- immediate that will pay X at the end of the first year. Each subsequent annual payment will be 3% greater than the preceding payment. Immediately after the 10th payment of the 25-year annuity, the annuity will be exchanged for a deferred perpetuity paying Y per year, the first payment being issued 5 years after the date of purchase. The annual effective rate of interest is 3%. Calculate X and Y as functions of P
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