Net Present Value Method, Internal Rate of Return Method, and Analysis
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 | $290,000 | $580,000 | ||
2 | 290,000 | 580,000 | ||
3 | 290,000 | 580,000 | ||
4 | 290,000 | 580,000 |
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 $880,730, while the TV station requires an investment of $1,655,900. 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 |
(please post steps to get the answers, it would be greatly appreciated)
Answer:- 1a)- The net present value of Radio station is $38570
The net present value of TV Station is $182700
Explanation:-
Net present value of Radio station = Present value of cash inflows – Total outflows
={($290000*3.170) - $880730}
=$919300 - $880730
= $38570
Net present value of TV station = Present value of cash inflows – Total outflows
={($580000*3.170) - $1655900}
=$1838600 - $1655900
= $182700
1b)- Present value index=Present value of future cash flows/Initial Investment required
Radio station =$919300/$880730 =1.04
TV station =$1838600/$1655900=1.11
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