The management of Quest Media Inc. is considering two capital investment projects. The estimated net cash flows from each project are as follows:
Year | Radio Station | TV Station | ||
1 | $420,000 | $880,000 | ||
2 | 420,000 | 880,000 | ||
3 | 420,000 | 880,000 | ||
4 | 420,000 | 880,000 |
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 |
The radio station requires an investment of $1,199,100, while the TV station requires an investment of $2,278,320. No residual value is expected from either project.
Required:
1a. Compute the net present value for each project. Use a rate of 10% and the present value of an annuity of $1 in the table above. If required, use the minus sign to indicate a negative net present value. If required, round to the nearest whole dollar.
Radio Station | TV Station | |
Present value of annual net cash flows | $ | $ |
Less amount to be invested | $ | $ |
Net present value | $ | $ |
1b. Compute a present value index for each project. If required, round your answers to two decimal places.
Present Value Index | |
Radio Station | |
TV Station |
2. Determine the internal rate of return for each project by (a) computing a present value factor for an annuity of $1 and (b) using the present value of an annuity of $1 in the table above. If required, round your present value factor answers to three decimal places and internal rate of return to the nearest whole percent.
Radio Station | TV Station | |||
Present value factor for an annuity of $1 | ||||
Internal rate of return | % | % |
1a | ||
Radio Station | TV Station | |
Present value of annual net cash flows | 1331400 | 2789600 |
Less amount to be invested | 1199100 | 2278320 |
Net present value | 132300 | 511280 |
b | ||
Present Value Index | ||
Radio Station | 1.11 | =1331400/1199100 |
TV Station | 1.22 | =2789600/2278320 |
2 | ||
Radio Station | TV Station | |
Present value factor for an annuity of $1 | 2.855 | 2.589 |
Internal rate of return | 15% | 20% |
Formulas used: | ||
Radio Station | TV Station | |
Present value of annual net cash flows | =420000*3.170 | =880000*3.170 |
Radio Station | TV Station | |
Present value factor for an annuity of $1 | =1199100/420000 | =2278320/880000 |
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