Rapid Delivery Inc is considering the purchase of an additio
Rapid Delivery, Inc., is considering the purchase of an additional delivery vehicle for $24,000 on January 1, 2016. The truck is expected to have a five-year life with an expected residual value of $6,000 at the end of five years. The expected additional revenues from the added delivery capacity are anticipated to be $51,000 per year for each of the next five years. A driver will cost $37,000 in 2016, with an expected annual salary increase of $3,000 for each year thereafter. The annual operating costs for the truck are estimated to be $2,000 per year.
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a. Determine the expected annual net cash flows from the delivery truck investment for 2016-2020.
2020
b. Calculate the net present value of the investment, assuming that the minimum desired rate of return is 20%. Use the table of the present value of $1 presented above. When required, round to the nearest dollar. If required, use the minus sign to indicate a negative net present value.
$
| Year | 6% | 10% | 12% | 15% | 20% |
| 1 | 0.943 | 0.909 | 0.893 | 0.87 | 0.833 |
| 2 | 0.89 | 0.826 | 0.797 | 0.756 | 0.694 |
| 3 | 0.84 | 0.751 | 0.712 | 0.658 | 0.579 |
| 4 | 0.792 | 0.683 | 0.636 | 0.572 | 0.482 |
| 5 | 0.747 | 0.621 | 0.567 | 0.497 | 0.402 |
| 6 | 0.705 | 0.564 | 0.507 | 0.432 | 0.335 |
| 7 | 0.665 | 0.513 | 0.452 | 0.376 | 0.279 |
| 8 | 0.627 | 0.467 | 0.404 | 0.327 | 0.233 |
| 9 | 0.592 | 0.424 | 0.361 | 0.284 | 0.194 |
| 10 | 0.558 | 0.386 | 0.322 | 0.247 | 0.162 |
Solution
a. Annual Net Cash flow 2016 $ 12,000 2017 9,000 2018 6,000 2019 3,000 2020 6000 Working: Year 2016 2017 2018 2019 2020 Revenue 51,000 51,000 51,000 51,000 51,000 Cost of Driver -37,000 -40,000 -43,000 -46,000 -49,000 Operating Cost -2,000 -2,000 -2,000 -2,000 -2,000 Salvage value of asset 6,000 Annual Cash flow 12,000 9,000 6,000 3,000 6,000 b. Present Value of annual Net Cash inflow $ 23,574 Less Investment 24,000 Net Present Value -426 Working: Year 2016 2017 2018 2019 2020 Total Annual Cash flow 12000 9000 6000 3000 6,000 Discount factor @ 20% 0.833 0.694 0.579 0.482 0.402 Present Value 9,996 6,246 3,474 1,446 2412 23,574