Kelly Reading invests $14,404.31 now for a series of $2,700 annual returns begin
ID: 2380104 • Letter: K
Question
Kelly Reading invests $14,404.31 now for a series of $2,700 annual returns beginning one year from now. Kelly will earn a return of 10% on the initial investment.
Click here to view the factor table.
(For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
How many annual payments of $2,700 will Kelly receive? (Hint: Use Table 4.)
Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 15%
1 .96154 .95238 .94340 0.93458 .92593 .91743 .90909 .90090 .89286 .86957
2 1.88609 1.85941 1.83339 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.62571
3 2.77509 2.72325 2.67301 2.62432 2.57710 2.53130 2.48685 2.44371 2.40183 2.28323
4 3.62990 3.54595 3.46511 3.38721 3.31213 3.23972 3.16986 3.10245 3.03735 2.85498
5 4.45182 4.32948 4.21236 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 3.35216
6 5.24214 5.07569 4.91732 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.78448
7 6.00205 5.78637 5.58238 5.38989 5.20637 5.03295 4.86842 4.71220 4.56376 4.16042
8 6.73274 6.46321 6.20979 5.97130 5.74664 5.53482 5.33493 5.14612 4.96764 4.48732
9 7.43533 7.10782 6.80169 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 4.77158
10 8.11090 7.72173 7.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.65022 5.01877
11 8.76048 8.30641 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 5.23371
12 9.38507 8.86325 8.38384 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.42062
13 9.98565 9.39357 8.85268 8.35765 7.90378 7.48690 7.10336 6.74987 6.42355 5.58315
14 10.56312 9.89864 9.29498 8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 5.72448
15 11.11839 10.37966 9.71225 9.10791 8.55948 8.06069 7.60608 7.19087 6.81086 5.84737
16 11.65230 10.83777 10.10590 9.44665 8.85137 8.31256 7.82371 7.37916 6.97399 5.95424
17 12.16567 11.27407 10.47726 9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 6.04716
18 12.65930 11.68959 10.82760 10.05909 9.37189 8.75563 8.20141 7.70162 7.24967 6.12797
19 13.13394 12.08532 11.15812 10.33560 9.60360 8.95012 8.36492 7.83929 7.36578 6.19823
20 13.59033 12.46221 11.46992 10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 6.25933
Explanation / Answer
Present value of all annual payments of $2,700 =$14,404.31
Let the number of periods be n
$14,404.31 = 2700/(1+10%) +2700/(1+10%)^2 + 2700/(1+10%)^3 + 2700/(1+10%)^4 + 2700/(1+10%)^5......2700/(1+10%)^n
n= 8
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