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Nicki Johnson, a sophomore mechanical engineering student, receives a call from an insurance agent, who believes that Nicki is an older woman ready to retire

Nicki Johnson, a sophomore mechanical engineering student, receives a call from an insurance agent, who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her an annual fixed income.

ANNUITY

INITIAL

PAYMENT INTO

ANNUITY

(AT t = 0)

AMOUNT OF

MONEY

RECEIVED PER

YEAR

DURATION

OF ANNUITY

(YEARS)

A

$50, 000

$8,500

12

B $ 60,000 $ 7,000 25

C $ 70,000 $ 8,000 20

If Nicki could earn 11 percent on her money by placing it in a savings account, should she place it instead in any of the annuities? Which ones, if any? Why?

a. What rate of return could Nicki earn on her money if she place it in annuity A with $8,500 payment per year and

12 years duration?

(Round to two decimal places.)

6 parts

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