In: Accounting
(Please provide me with the answer's steps)
On Time Delivery Inc. is considering the purchase of an additional delivery truck for $26,000 on January 1, 20Y4. The truck is expected to have a five-year life with an expected residual value of $7,000 at the end of five years. The expected additional revenues from the added delivery capacity are anticipated to be $52,000 per year for each of the next five years. A driver will cost $37,000 in 20Y4, with an expected annual salary increase of $3,000 for each year thereafter. The operating costs for the truck is estimated to cost $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 |
a. Determine the expected annual net cash flows from the delivery truck investment for 20Y4–20Y8. If required, use the minus sign to indicate an overall negative annual net cash outflow.
| Annual Net Cash Flow | |
| 20Y4 | $ |
| 20Y5 | $ |
| 20Y6 | $ |
| 20Y7 | $ |
| 20Y8 | $ |
b. Calculate the net present value of the investment, assuming that the minimum desired rate of return is 20%. Use the table of present value of $1 provided above. If required, use the minus sign to indicate a negative net present value.
| Present value of annual net cash flow | $ |
| Investment | |
| Net present value | $ |
c. Which of the following statements regarding the additional truck investment is true?
A-The total present value of cash flows from the delivery truck investment is less than the total purchase price of the truck.
B-The total present value of cash flows from the delivery truck investment is greater than the total purchase price of the truck.
C-The total present value of cash flows from the delivery truck investment is equal to the total purchase price of the truck.
D-The annual net cash flows from 20Y4 to 20Y8 are all less than $10,000.
a. Determine the expected annual net cash flows from the delivery truck investment for 20Y4–20Y8
|
Year |
Additional Revenue |
Driver Salary |
Operating cost |
Salvage Value |
Annual Net Cash Flow |
|
20Y4 |
52,000.00 |
37,000.00 |
2,000.00 |
- |
13,000.00 |
|
20Y5 |
52,000.00 |
40,000.00 |
2,000.00 |
- |
10,000.00 |
|
20Y6 |
52,000.00 |
43,000.00 |
2,000.00 |
- |
7,000.00 |
|
20Y7 |
52,000.00 |
46,000.00 |
2,000.00 |
- |
4,000.00 |
|
20Y8 |
52,000.00 |
49,000.00 |
2,000.00 |
7,000.00 |
8,000.00 |
b. Calculate the net present value of the investment, assuming that the minimum desired rate of return is 20
|
Present value of annual net cash flow |
$26,966 |
|
Investment |
$26,000 |
|
Net present value |
$966 |
Present value of annual net cash flow
= (13,000 x 0.833 ) +(10,000 x 0.694) + (7,000 x 0.579) + (4,000 x 0.482) + (8,000 x 0.402)
= $26,966
c. Which of the following statements regarding the additional truck investment is true?
“ B-The total present value of cash flows from the delivery truck investment is greater than the total purchase price of the truck. “