Net Present Value—Unequal Lives
Bunker Hill Mining Company has two competing proposals: a processing mill and an electric shovel. Both pieces of equipment have an initial investment of $659,263. The net cash flows estimated for the two proposals are as follows:
Net Cash Flow | ||||
Year | Processing Mill | Electric Shovel | ||
1 | $226,000 | $283,000 | ||
2 | 201,000 | 262,000 | ||
3 | 201,000 | 242,000 | ||
4 | 160,000 | 249,000 | ||
5 | 122,000 | |||
6 | 102,000 | |||
7 | 88,000 | |||
8 | 88,000 |
The estimated residual value of the processing mill at the end of Year 4 is $280,000.
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 |
Determine which equipment should be favored, comparing the net present values of the two proposals and assuming a minimum rate of return of 15%. Use the present value table appearing above.
Processing Mill | Electric Shovel | |
Present value of net cash flow total | $ | $ |
Less amount to be invested | $ | $ |
Net present value | $ | $ |
Net present value is capital budgeting technique which uses time value of money to determine the best alternative.
(1) Processing Mill
year | cash flow | present value of $1 at 15% | present value of cash flow | |
1 | $226,000 | 0.870 | $196,620 | |
2 | $201,000 | 0.756 | $151,956 | |
3 | $201,000 | 0.658 | $132,258 | |
4 | $160,000 | 0.572 | $91,520 | |
4 (salvage) | $280,000 | 0.572 | $160,160 | |
present value of cash flow | 732,514 | [196620+151956+132258+91520+160160] |
2. electric shovel
year | cash flow | present value of $1 at 15% | present value of cash flow | |
1 | $283,000 | 0.870 | $246,210 | |
2 | $262,000 | 0.756 | $198,072 | |
3 | $242,000 | 0.658 | $159,236 | |
4 | $249,000 | 0.572 | $142,428 | |
Net present value | $745,946 |
Net present value is difference between present value of cash flow and initial investment
the project with higher NPV should be selected.
Processing Mill | Electric Shovel | |
Present value of net cash flow total | $732,514 | $745,946 |
Less amount to be invested | $659,263 | $659,263 |
Net present value | $73,251 | $86,683 |
electric shovel should be selected as it is more profitable having higher NPV.
Net Present Value—Unequal Lives Bunker Hill Mining Company has two competing proposals: a processing mill and...
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