For the following set of cash flows, |
Year | Cash Flow |
0 | –$7,300 |
1 | 6,500 |
2 | 5,200 |
3 | 6,700 |
Required: | |
(a) | What is the NPV at a discount rate of 0 percent? |
(b) | What is the NPV at a discount rate of 14 percent? |
(c) |
Whatis the NPV at a discount rate of 21 percent? |
(d) | What is the NPV at a discount rate of 26 percent? |
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
At 0%:
Present value of inflows=6500+5200+6700=$18400
NPV=Present value of inflows-Present value of outflows
=(18400-7300)=$11100
At 14:
Present value of inflows=6500/1.14+5200/1.14^2+6700/1.14^3
=$14225.29
NPV =$14225.29-$7300
=$6925.29(Approx).
At 21:
Present value of inflows=6500/1.21+5200/1.21^2+6700/1.21^3
=$12705.55
NPV =$12705.55-$7300
=$5405.55(Approx).
At 26:
Present value of inflows=6500/1.26+5200/1.26^2+6700/1.26^3
=$11783.48
NPV =$11783.48-$7300
=$4483.48(Approx).
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