Question
Part A Net Present Value Method for a Service Company AM Express Inc. is considering the purchase of an additional delivery vehicle for $25,000 on
Part A
Net Present Value Method for a Service Company
AM Express Inc. is considering the purchase of an additional delivery vehicle for $25,000 on January 1, 20Y1. The truck is expected to have a 5-year life with an expected residual value of $5,000 at the end of 5 years. The expected additional revenues from the added delivery capacity are anticipated to be $50,000 per year for each of the next 5 years. A driver will cost $36,000 in 20Y1, 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.
Present Value of $1 at Compound Interest | |||||
Year | 6% | 10% | 12% | 15% | 20% |
1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |
2 | 0.890 | 0.826 | 0.797 | 0.756 | 0.694 |
3 | 0.840 | 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 |
1. Determine the expected annual net cash flows from the delivery truck investment for 20Y1-20Y5.
Annual Net Cash Flow | |
20Y1 | $________ |
20Y2 | $________ |
20Y3 | $________ |
20Y4 | $________ |
20Y5 | $________ |
2. Compute the net present value of the investment, assuming that the minimum desired rate of return is 15%. 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.
Present value of annual net cash flow | $_________ |
Less investment | $_________ |
Net present value | $_________ |
Part B
The following data are accumulated by Lone Peak Inc. in evaluating two competing capital investment proposals:
3D Printer | Truck | ||||
Amount of investment | $88,000 | $92,000 | |||
Useful life | 4 years | 7 years | |||
Estimated residual value | 0 | 0 | |||
Estimated total income over the useful life | $14,080 | $40,250 |
Determine the expected average rate of return for each proposal. If required, round your answers to one decimal place.
3D Printer | ____ % |
Truck | ____ % |
Part C
A project has estimated annual net cash flows of $15,000 for two years and is estimated to cost $30,000. Assume a minimum acceptable rate of return of 20%. Use the Present Value of an Annuity of $1 at Compound Interest table below.
Present Value of an Annuity of $1 at Compound Interest | |||||
Year | 6% | 10% | 12% | 15% | 20% |
1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |
2 | 1.833 | 1.736 | 1.690 | 1.626 | 1.528 |
3 | 2.673 | 2.487 | 2.402 | 2.283 | 2.106 |
4 | 3.465 | 3.170 | 3.037 | 2.855 | 2.589 |
5 | 4.212 | 3.791 | 3.605 | 3.353 | 2.991 |
6 | 4.917 | 4.355 | 4.111 | 3.785 | 3.326 |
7 | 5.582 | 4.868 | 4.564 | 4.160 | 3.605 |
8 | 6.210 | 5.335 | 4.968 | 4.487 | 3.837 |
9 | 6.802 | 5.759 | 5.328 | 4.772 | 4.031 |
10 | 7.360 | 6.145 | 5.650 | 5.019 | 4.192 |
Determine (1) the net present value of the project and (2) the present value index. If required, use the minus sign to indicate a negative net present value.
Net present value of the project (round to the nearest dollar) | $_____ |
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