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 $679,829. The net cash flows estimated for the two proposals are as follows:
Net Cash Flow | ||||
Year | Processing Mill | Electric Shovel | ||
1 | $207,000 | $259,000 | ||
2 | 184,000 | 240,000 | ||
3 | 184,000 | 221,000 | ||
4 | 147,000 | 228,000 | ||
5 | 112,000 | |||
6 | 93,000 | |||
7 | 81,000 | |||
8 | 81,000 |
The estimated residual value of the processing mill at the end of Year 4 is $260,000.
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 10%. 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 Cash Flow | ||||||
Year | Processing Mill | Electric Shovel | ||||
Inflows | Present value | |||||
1 | 207,000 | $0.909 | 188,163 | 259,000 | $0.909 | 235,431 |
2 | 184,000 | $0.826 | 151,984 | 240,000 | $0.826 | 198,240 |
3 | 184,000 | $0.751 | 138,184 | 221,000 | $0.751 | 165,971 |
4 | 147,000 | $0.683 | 100,401 | 228,000 | $0.683 | 155,724 |
4 | 260,000 | $0.683 | 177,580 | |||
present value of inflows | 756,312 | 755,366 | ||||
Out flow | 679,829 | 679,829 | ||||
Net present value | 76,483 | 75,537 |
Processing Mill | Electric Shovel | |
Present value of net cash flow total | 756,312 | 755,366 |
Less amount to be invested | 679,829 | 679,829 |
Net present value | 76,483 | 75,537 |
Net Present Value—Unequal Lives Bunker Hill Mining Company has two competing proposals: a processing mill and...
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...
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