(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 B Purchase Price of the Annuity (At t = 0) $50,000 $40,000 $80,000 Amount of Money Received Per Year $6,000 $6,500 $9,000 Duration of the Annuity (Years) 25 15 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 $6,000 payments per year and 25 years duration? (Round to the nearest cent.) If Nicki could earn 9 percent on her money by placing it in a savings account, should she place it instead in annuity A? (Select the best choice below.) O A. No. Nicki should not place her money in annuity A because the present value of the annuity is smaller than the initial payment. OB. Yes. Nicki should place her money in annuity A because the present value of the annuity is greater than the initial payment. b. If Nicki could earn 9 percent on her money, what is the present value of annuity B with $6,500 payments per year and 15 years duration? (Round to the nearest cent.) If Nicki could earn 9 percent on her money by placing it in a savings account, should she place it instead in annuity B? (Select the best choice below.) O A. Yes. Nicki should place her money in annuity B because the present value of the annuity greater than the initial payment. OB. No. Nicki should not place her money in annuity B because the present value of the annuity is smaller than the initial payment. C. If Nicki could earn 9 percent on her money, what is the present value of annuity C with $9,000 payments per year and 20 years duration? (Round to the nearest cent.) If Nicki could earn 9 percent on her money by placing it in a savings account, should she place it instead in annuity C? (Select the best choice below.) O A. Yes. Nicki should place her money in annuity C because the present value of the annuity is greater than the initial payment. OB. No. Nicki should not place her money in annuity C because the present value of the annuity is smaller than the initial payment