Question
Alternative Capital Investments The investment committee of Auntie M's Restaurants Inc. is evaluating two restaurant sites. The sites have different useful lives, but each requires
Alternative Capital Investments
The investment committee of Auntie M's Restaurants Inc. is evaluating two restaurant sites. The sites have different useful lives, but each requires an investment of $900,000. The estimated net cash flows from each site are as follows:
Net Cash Flows | ||||
Year | Wichita | Topeka | ||
1 | $310,000 | $400,000 | ||
2 | 310,000 | 400,000 | ||
3 | 310,000 | 400,000 | ||
4 | 310,000 | 400,000 | ||
5 | 310,000 | |||
6 | 310,000 |
The committee has selected a rate of 20% for purposes of net present value analysis. It also estimates that the residual value at the end of each restaurant's useful life is $0, but at the end of the fourth year, Wichita's residual value would be $500,000.
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 site, 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.
Wichita | Topeka | |
Present value of annual net cash flows | $fill in the blank 1 | $fill in the blank 2 |
Amount to be invested | $fill in the blank 3 | $fill in the blank 4 |
Net present value | $fill in the blank 5 | $fill in the blank 6 |
2. For each site, compute the net present value, assuming that Wichita is adjusted to a four-year life for purposes of analysis. Use the present value of $1 table above. If required, round to the nearest dollar.
Wichita | Topeka | |
Present value of net cash flow total | $fill in the blank 7 | $fill in the blank 8 |
Amount to be invested | $fill in the blank 9 | $fill in the blank 10 |
Net present value | $fill in the blank 11 | $fill in the blank 12 |
3. The net present value of the two sites over equal lives indicates that the
WichitaTopeka
site has a higher net present value and would be a superior investment.
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