An investment will pay $100 at the end of each of the next 3 years, $300 at the end of Year 4, $600 at the end of Year 5, and $700 at the end of Year 6.
1. If other investments of equal risk earn 9%
annually, what is its present value? Round your answer to the
nearest cent.
2. What is its future value? Round your answer to the nearest cent.
1. As the values receivable in the future are given, present value can be calculated as:-
Year | Amount | Present Value Factor | Present Value Factor | Present Value |
0 | ||||
1 | 100 | =1/1.09 | 0.9174 | 91.7431 |
2 | 100 | =(1/1.09)^2 | 0.8417 | 84.1680 |
3 | 100 | =(1/1.09)^3 | 0.7722 | 77.2183 |
4 | 300 | =(1/1.09)^4 | 0.7084 | 212.5276 |
5 | 600 | =(1/1.09)^5 | 0.6499 | 389.9588 |
6 | 700 | =(1/1.09)^6 | 0.5963 | 417.3871 |
1900 | 1273.00 |
Thus Present value is $1273.
2. The amounts give are already the future values therefore future value shall be sum of actual future receipts = $1900
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