Question

A thirty-year annuity X has annual payments of $1,000 at the beginning of each year for twelve years, then annual payments of $2,000 at the beginning of each year for eighteen years. A perpetuity Y has payments of $Q at the end of each year for twenty years, then payments of $3Q at the end of each year thereafter. The present values of X and Y are equal when calculated using an annual effective discount rate of 10%. Find Q.

Answer 1

The value of Q is $1069.89

Step-by-step explanation:

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