Rapid Delivery Inc. is considering the purchase of an additional delivery vehicle for $39,000 on January 1, 20Y4. 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 $59,000 per year for each of the next five years. A driver will cost $42,000 in 20Y4, with an expected annual salary increase of $3,000 for each year thereafter. The insurance for the truck is estimated to cost $2,000 per year
- Determine the expected annual net cash flows from the delivery truck investment for 20Y4–20Y8. (Hints: Calculate the annual net cash flow by combining the additional revenue for each year, which would be a cash inflow, with the additional expected costs each year, which would be cash outflows. For every year after the first year, net cash flows are the same as the first year, except salary costs increase each year, which would make the annual net cash flow decrease each year. Also, in the final year, remember to add the residual value, because that would be a cash inflow from the sale of the truck.)
If an annual net cash flow is an outflow, use a minus sign in front of the number.
| Annual Net Cash Flow | |
| 20Y4 | $ |
| 20Y5 | $ |
| 20Y6 | $ |
| 20Y7 | $ |
| 20Y8 | $ |
- Calculate the net present value of the investment, assuming that the minimum desired rate of return is 10%. Use the table of present value of $1 provided above. Enter the investment with a minus sign to show it is a cash outflow. If net present value is negative, use a minus sign.
| Present value of annual net cash flow | $ |
| Investment | 39,000 |
| Net present value | $ |
- Which of the following statements regarding the additional truck investment is true?
The total present value of cash flows from the delivery truck investment is less than the total purchase price of the truck.
The total present value of cash flows from the delivery truck investment is greater than the total purchase price of the truck.
The total present value of cash flows from the delivery truck investment is equal to the total purchase price of the truck.
The annual net cash flows from 20Y4 to 20Y8 are all less than $12,000
. Determine the expected annual net cash flows from the delivery truck investment for 2014-2018 .
Annual Net Cash Flow
Year
Calulation
Cash Flow
2014
59000-42000-2000
15000
2015
59000-45000-2000
12000
2016
59000-48000-2000
9000
2017
59000-51000-2000
6,000
2018
59000-54000-2000
3000
B . Calculate the net present value of the investment, assuming that the minimum desired rate of return is 10%.
Calculation of NPV is as under
Year
Cash Flow
Salvage
Value
Net Cash
Low
Prasent Value
Gactor@ 10%
Prasent Value
0
-39000
-39000
1
-39000
1
15000
15000
0.909
13635
2
12000
12000
0.826
9912
3
9000
9000
0.751
6759
4
6000
6000
0.683
4098
5
3000
6000
9000
0.621
5589
993
NPV = $ 993
Present value of annual net cash flow
$
Investment
39,000
Net present value
$ 993
C
Which of the following statements regarding the additional truck investment is true
Answer:
The total present value of cash flows from the delivery truck investment is greater than the total purchase price of the truck.
