P5–55 Choosing the best annuity Raina Herzig wishes to choose the best of four immediate-retirement annuities available to her. In each case, in exchange for paying a single premium today, she will receive equal, annual, end-of-year cash benefits for a specified number of years. She considers the annuities to be equally risky and is not concerned about their differing lives. Her decision will be based solely on the rate of return she will earn on each annuity. The key terms of the four annuities are shown in the following table.

a. Calculate to the nearest 1% the rate of return on each of the four annuities Raina is considering.

b. Given Raina’s stated decision criterion, which annuity would you recommend?

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Annuity Premium paid today Annual benefit Life (years) ABCD $30,000 $3,100 20 25,000 3,900 10 40,000 4,200 35,000 4,000 12 15 12