Question

Under the NBA deferred compensation plan, payments made at the end of each year accumulate up to retirement and then retirees are given two options. Option 1 allows the retiree to select the amount of the annual payment to be received, and option 2 allows the retiree to specify over how many years payments are to be received. Have the assumption Hardaway has had $7,800 deposited at the end of each year for 30 years, and that the long-term interest rate has been 8%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: a. How much has accumulated in Hardaway's deferred compensation account? b. How much will Hardaway be able to withdraw at the beginning of each year if he elects to receive payments for 15 years? c. How many years will Hardaway be able to receive payments if he chooses to receive $83,000 per year at the beginning of each year? Please help me solve the problem. (For all requirements, round your final answers to the nearest whole dollar.)

Answer 1

A. Balance in Hardaway's Deferred Compensation Account is as follows

Year	Amount	FV Factor	Future Value
1	$ 7,800.00	9.321	$    72,703.80
2	$ 7,800.00	8.631	$    67,321.80
3	$ 7,800.00	7.992	$    62,337.60
4	$ 7,800.00	7.400	$    57,720.00
5	$ 7,800.00	6.852	$    53,445.60
6	$ 7,800.00	6.344	$    49,483.20
7	$ 7,800.00	5.874	$    45,817.20
8	$ 7,800.00	5.439	$    42,424.20
9	$ 7,800.00	5.036	$    39,280.80
10	$ 7,800.00	4.663	$    36,371.40
11	$ 7,800.00	4.318	$    33,680.40
12	$ 7,800.00	3.998	$    31,184.40
13	$ 7,800.00	3.702	$    28,875.60
14	$ 7,800.00	3.428	$    26,738.40
15	$ 7,800.00	3.174	$    24,757.20
16	$ 7,800.00	2.939	$    22,924.20
17	$ 7,800.00	2.721	$    21,223.80
18	$ 7,800.00	2.519	$    19,648.20
19	$ 7,800.00	2.332	$    18,189.60
20	$ 7,800.00	2.159	$    16,840.20
21	$ 7,800.00	1.999	$    15,592.20
22	$ 7,800.00	1.851	$    14,437.80
23	$ 7,800.00	1.714	$    13,369.20
24	$ 7,800.00	1.587	$    12,378.60
25	$ 7,800.00	1.469	$    11,458.20
26	$ 7,800.00	1.360	$    10,608.00
27	$ 7,800.00	1.259	$      9,820.20
28	$ 7,800.00	1.166	$      9,094.80
29	$ 7,800.00	1.080	$      8,424.00
30	$ 7,800.00	1.000	$      7,800.00
Balance in Compensation Plan	$8,83,951.00

B. Hardaway be able to withdraw the following amount at the beginning of each year if he elects to receive payments for 15 years = 883951/PVAF(8%, 15 Years) -1= 883951/8.253 = $107,107

C. Hardaway be able to receive $83,000 per year at the beginning of each year for 20 Years  

PVAF(8%, n years)-1 = 883951/83000

n = 20 Years