What is the present worth in period 0 using an interest rate of 4 percent of end of period cash flows starting at the end of period 1 of -1000, -700, -400, -100, 200, 500, 800, and 1100
Answer: | ||||||
a) Calculation of present value of cash flows: | ||||||
Year | Cash inflows | Present value factor at 4% | Present value | |||
1 | ($1,000) | 1/1.04 = | 0.96154 | ($961.54) | ||
2 | ($700) | D12/1.04 = | 0.92456 | ($924.56) | ||
3 | ($400) | D13/1.04 = | 0.88900 | ($622.30) | ||
4 | ($100) | D14/1.04 = | 0.85480 | ($341.92) | ||
5 | $200 | D15/1.04 = | 0.82193 | ($82.19) | ||
6 | $500 | D16/1.04 = | 0.79031 | $158.06 | ||
7 | $800 | D17/1.04 = | 0.75992 | $379.96 | ||
8 | $1,100 | D18/1.04 = | 0.73069 | $584.55 | ||
Total | ($1,809.93) | |||||
Therefore, the present value of cash flows is -$ 1809.93 (Answer) |
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