(Related to Checkpoint 6.2) (Present value of an ordinary annuity)Nicki Johnson, a sophomore mechanical engineering student, receives a call from an insurance agent who believes that Nicki is an older woman who is ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her a fixed annual income. The annuities are as follows:

Annuity	Purchase Price of the Annuity (At t = 0)	Amount of Money Received Per Year	Duration of the Annuity (Years)
A	$40,000	$7,500	12
B	$70,000	$9,000	22
C	$50,000	$6,000	20

Nicki could earn

9

percent on her money by placing it in a savings account. Alternatively, she could place it in any of the above annuities. Which annuities in the table above, if any, will earn Nicki a higher return than investing in the savings account earning

9

percent?

a.If Nicki could earn

9

percent on her money, what is the present value of annuity A with

$7,500

payments per year and

12

years duration?