5 Compute the NPV for Project X with the cash flows shown as
5. Compute the NPV for Project X with the cash flows shown as follows if the appropriate cost of capital is 9 percent.
Time: 0 1 2 3 4 5 Cash flow: ?1,000 ?75 100 100 0 2,000
A. -$639.96
B. 360.04
C. 392.44
D. 486.29
Solution
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=100/1.09^2+100/1.09^3+2000/1.09^5
=$1461.24912
Present value of outflows=1000+75/1.09
=$1068.807339
NPV=Present value of inflows-Present value of outflows
=$1461.24912-$1068.807339
=$392.44(Approx)
