Net Present Value Method, Internal Rate of Return Method, and Analysis

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 $250,000 $530,000 2 250,000 530,000 3 250,000 530,000 4 250,000 530,000

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 wind turbines require an investment of $713,750, while the biofuel equipment requires an investment of $1,609,610. 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.

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 wind turbines

is a better financial opportunity compared to the biofuel equipment

, although both investments meet the minimum return criterion of 10%.