Connor Company is considering the purchase of new equipment for $125,000. The expected life of the equipment is 5 years with no residual value. The equipment is expected to earn revenues of $155,000 per year. Total expenses, including depreciation, are expected to be $125,000 per year. Connor management has set a minimum acceptable rate of return of 15%. Assume straight-line depreciation.
a. Determine the equal annual net cash flows
from operating the equipment. Round to the nearest dollar.
$
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 | 3.352 | 2.991 |
6 | 4.917 | 4.355 | 4.111 | 3.784 | 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 |
b. Calculate the net present value of the new equipment using the present value of an annuity of $1 table above. Round to the nearest dollar. If required, use the minus sign to indicate a negative net present value.
Annual net cash flow | $ |
Present value of equipment cash flows | $ |
Less equipment costs | $ |
Net present value of equipment | $ |
(a): Equal annual net cash flows = Revenues – Total expenses
Now total expenses will have to be adjusted for depreciation. Depreciation per year = 125,000/5 = $25,000 per year.
Thus expenses without depreciation = annual expenses - depreciation = 125,000-25,000 = $100,000
Equal annual net cash flows = 155,000 -100,000
= $55,000
b. Present value of equipment cash flows = 55,000*Present value of annuity for 5 years and 15%
= 55,000*3.352
= $184,360
Thus net present value = present value of annual cash flows - investment
= $184,360 - 125,000
= $59,360
Annual net cash flow | $ | 55,000.00 |
Present value of equipment cash flows | $ | 184,360.00 |
Less: equipment costs | $ | 125,000.00 |
Net present value of the equipment | $ | 59,360.00 |
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