In: Accounting
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 | $270,000 | $570,000 | ||
2 | 270,000 | 570,000 | ||
3 | 270,000 | 570,000 | ||
4 | 270,000 | 570,000 |
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 $819,990, while the TV station requires an investment of $1,627,350. 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 | % | % |
3. The net present value, present value index, and internal rate of return all indicate that the is a better financial opportunity compared to the , although both investments meet the minimum return criterion of 10%.
Solution 1a:
Computation of NPV | ||||||
Radio Station | TV station | |||||
Particulars | Period | PV Factor (18%) | Amount | Present Value | Amount | Present Value |
Cash outflows: | ||||||
Initial investment | 0 | 1 | $819,990 | $819,990 | $1,627,350 | $1,627,350 |
Present Value of Cash outflows (A) | $819,990 | $1,627,350 | ||||
Cash Inflows | ||||||
Annual cash inflows | 1-4 | 3.170 | $270,000 | $855,900 | $570,000 | $1,806,900 |
Present Value of Cash Inflows (B) | $855,900 | $1,806,900 | ||||
Net Present Value (NPV) (B-A) | $35,910 | $179,550 |
Solution 1b:
Present Value Index | ||
Particulars | Radio Station | TV station |
Present value of cash inflows | $855,900 | $1,806,900 |
Initial investment | $819,990 | $1,627,350 |
Present value index ( PV of cash inflows/Initial investment) | $1.04 | $1.11 |
Solution 2:
Computation of IRR | ||
Particulars | Radio Station | TV station |
Initial investment | $819,990 | $1,627,350 |
Annual cash inflows | $270,000 | $570,000 |
Present value factor for an annuity of $1 | 3.037 | 2.855 |
Refer factor table, IRR | 12% | 15% |
Solution 3:
The net present value, present value index, and internal rate of return all indicate that the TV station is a better financial opportunity compared to the radio station, although both investments meet the minimum return criterion of 10%.