Question

The management of Advanced Alternative Power Inc. is considering two capital investment projects. The estimated net...

The management of Advanced Alternative Power Inc. is considering two capital investment projects. The estimated net cash flows from each project are as follows:

Year Wind Turbines Biofuel Equipment
1 $170,000 $320,000
2 170,000 320,000
3 170,000 320,000
4 170,000 320,000

The wind turbines require an investment of $516,290, while the biofuel equipment requires an investment of $913,600. No residual value is expected from either project.

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:

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.

Wind Turbines Biofuel Equipment
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
Wind Turbines
Biofuel Equipment

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.

Wind Turbines Biofuel Equipment
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/are a better financial opportunity compared to the  , although both investments meet the minimum return criterion of 10%.

can you explain the answer

Homework Answers

Answer #1
Wind Turbines Biofuel Equipment
1a.

Present value of annual net cash flows

$170000*3.170 = $538900

$320000*3.170 = $1014400

Amount to be invested

$516,290 913,600

Net present value

$22610

$100800

1b. Present Value Index = Present value of annual net cash flows/Amount to be invested 1.04 1.11
Wind Turbines Biofuel Equipment
2.

Amount to be invested

$516,290 913,600

Divide by: Annual cash inflows

170000

320000
Present value factor for an annuity of $1 3.037 2.855
Internal rate of return 12% 15%

3. The net present value, present value index, and internal rate of return all indicate that the Biofuel Equipment  is a better financial opportunity compared to the Wind Turbines , although both investments meet the minimum return criterion of 10%.

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