You found out that now you are going to recieve payments of $10,000 for the next 14 years. You will recieve these payments at the BEGINNING of each year. The annual interest rate will remain constant at 16%. What is the present value of these payments?
Year | (a) | (b) | (c) = (a)*(b) | |
Amount | Discounting Factors | Discounted Amount | ||
1 | 10000 | 1/1.16^0 | 1 | 10000 |
2 | 10000 | 1/1.16^1 | 0.862069 | 8620.6897 |
3 | 10000 | 1/1.16^2 | 0.743163 | 7431.6290 |
4 | 10000 | 1/1.16^3 | 0.640658 | 6406.5767 |
5 | 10000 | 1/1.16^4 | 0.552291 | 5522.9110 |
6 | 10000 | 1/1.16^5 | 0.476113 | 4761.1302 |
7 | 10000 | 1/1.16^6 | 0.410442 | 4104.4225 |
8 | 10000 | 1/1.16^7 | 0.35383 | 3538.2953 |
9 | 10000 | 1/1.16^8 | 0.305025 | 3050.2546 |
10 | 10000 | 1/1.16^9 | 0.262953 | 2629.5298 |
11 | 10000 | 1/1.16^10 | 0.226684 | 2266.8360 |
12 | 10000 | 1/1.16^11 | 0.195417 | 1954.1690 |
13 | 10000 | 1/1.16^12 | 0.168463 | 1684.6284 |
14 | 10000 | 1/1.16^13 | 0.145227 | 1452.2659 |
Present value of the payments | 63423.3381 |
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