Brett Collins is reviewing his company’s investment in a cement plant. The company paid $14,400,000 five years ago to acquire the plant. Now top management is considering an opportunity to sell it. The president wants to know whether the plant has met original expectations before he decides its fate. The company’s discount rate for present value computations is 8 percent. Expected and actual cash flows follow: (PV of $1 and PVA of $1)
(Use appropriate factor(s) from the tables provided.)
Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | |||||||||||
Expected | $ | 3,330,000 | $ | 4,960,000 | $ | 4,630,000 | $ | 5,030,000 | $ | 4,240,000 | |||||
Actual | 2,640,000 | 3,020,000 | 4,870,000 | 3,870,000 | 3,520,000 | ||||||||||
Required
a.&b. Compute the net present value of the expected and actual cash flows as of the beginning of the investment. (Negative amounts should be indicated by a minus sign. Round your intermediate calculations and final answer to the nearest whole dollar.)
Here you go with the solution:
NPV of Expected Cash Flows: 31,94,046/- and NPV of Actual Cash Flows: -2,60,218/-
NPV of Expected Cash Flows | |||
Year | Expected ($) | PVF | Present Value |
0 | -1,44,00,000 | 1 | -1,44,00,000 |
1 | 33,30,000 | 0.92593 | 30,83,347 |
2 | 49,60,000 | 0.85734 | 42,52,406 |
3 | 46,30,000 | 0.79383 | 36,75,433 |
4 | 50,30,000 | 0.73503 | 36,97,201 |
5 | 42,40,000 | 0.68058 | 28,85,659 |
Net Present Value | 31,94,046 | ||
NPV of Actual Cash Flows | |||
Year | Expected ($) | PVF | Present Value |
0 | -1,44,00,000 | 1 | -1,44,00,000 |
1 | 26,40,000 | 0.92593 | 24,44,455 |
2 | 30,20,000 | 0.85734 | 25,89,167 |
3 | 48,70,000 | 0.79383 | 38,65,952 |
4 | 38,70,000 | 0.73503 | 28,44,566 |
5 | 35,20,000 | 0.68058 | 23,95,642 |
Net Present Value | -2,60,218 |
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PRESENT VALUE OF AN ANNUITY OF $ TABLE 2 4% 0.961538 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 5% 6% 7% 8% 9% 10% 12% 14% 16% 20% 2 1886095 1.859410 1.833393 1.808018 1.783265 1.759111 1.735537 1.690051 1646661 1.605232 1527778 3 2.775091 2.723248 2.673012 2.624316 2.577097 2.531295 2.486852 2.401831 2.321632 2.245890 2.106481 4 3.629895 3.545951 3.465106 3.387211 3.312127 3.239720 3.169865 3.037349 2.913712 2.798181 2.588735 5 4.451822 4.329477 4.212364 4.100197 3.992710 3.889651 3.790787 3.604776 3.433081 3.274294 2.990612 6...