The investment committee of Sentry Insurance Co. is evaluating two projects, office expansion and upgrade to computer servers. The projects have different useful lives, but each requires an investment of $490,000. The estimated net cash flows from each project are as follows:
Net Cash Flows | ||||
Year | Office Expansion | Servers | ||
1 | $125,000 | $165,000 | ||
2 | 125,000 | 165,000 | ||
3 | 125,000 | 165,000 | ||
4 | 125,000 | 165,000 | ||
5 | 125,000 | |||
6 | 125,000 |
The committee has selected a rate of 12% for purposes of net present value analysis. It also estimates that the residual value at the end of each project's useful life is $0, but at the end of the fourth year, the office expansion's residual value would be $180,000.
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 |
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 | 3.353 | 2.991 |
6 | 4.917 | 4.355 | 4.111 | 3.785 | 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 |
Required:
1. For each project, compute the net present value. Use the present value of an annuity of $1 table above. Ignore the unequal lives of the projects. If required, round to the nearest dollar.
Office Expansion | Server Upgrade | |
Present value of annual net cash flows | $ | $ |
Less amount to be invested | ||
Net present value | $ | $ |
2. For each project, compute the net present value, assuming that the office expansion is adjusted to a four-year life for purposes of analysis. Use the present value of $1 table above.
Office Expansion | Server Upgrade | |
Present value of net cash flow total | $ | $ |
Less amount to be invested | ||
Net present value | $ | $ |
Office Expansion | Server Upgrade | |
Present value of annual net cash flows | 513,875 | 501,105 |
Less amount to be invested | 490,000 | 490,000 |
Net present value | 23,875 | 11,105 |
2.Four year life | ||
Office Expansion | Server Upgrade | |
Present value of annual net cash flows | 494,105 | 501,105 |
Less amount to be invested | 490,000 | 490,000 |
Net present value | 4,105 | 11,105 |
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