A project has estimated annual cash flows of $90,000 for four years and is estim
ID: 2434584 • Letter: A
Question
A project has estimated annual cash flows of $90,000 for four years and is estimated to cost $250,000. Assume a minimum acceptable rate of return of 12%. Using the tables determine the (a) net present valve of the project and (b) the present valve index, rounded to two decimal places.Table present valve of $1 at compound interest
Year 6% 10% 12%
1 .943 .909 .893 2 .890 .826 .797 3 .840 .751 .712 4 .792 .683 .636 5 .747 .621 .567 Table present valve of an annuity of $1 at compound interest Year 6% 10% 12% 1 .943 .909 .893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 A project has estimated annual cash flows of $90,000 for four years and is estimated to cost $250,000. Assume a minimum acceptable rate of return of 12%. Using the tables determine the (a) net present valve of the project and (b) the present valve index, rounded to two decimal places.
Table present valve of $1 at compound interest
Year 6% 10% 12%
1 .943 .909 .893 2 .890 .826 .797 3 .840 .751 .712 4 .792 .683 .636 5 .747 .621 .567 Table present valve of an annuity of $1 at compound interest Year 6% 10% 12% 1 .943 .909 .893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 1 .943 .909 .893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605
Explanation / Answer
year present value factor cash inflow present value 1 0.893 90000 80370 2 0.797 90000 71730 3 0.712 90000 64080 4 0.636 90000 57240 Total Present value 273420 Present value index = present value of cash flow / initial investment 1.09 present value of annuity of $1 for 4 years at 12% 3.037 For $90,000, it will be 273330 Present value index = present value of cash flow / initial investment 1.09
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