Net present value method, internal rate of return method, and analysis for a service company 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 $230,000 $410,000 2 230,000 410,000 3 230,000 410,000 4 230,000 410,000   The wind turbines require an investment of $698,510, while the biofuel equipment requires an investment of $1,170,550. No residual value is expected from either project. 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. Line Item Description Wind Turbines Biofuel Equipment Present value of annual net cash flows $fill in the blank 1 $fill in the blank 2 Amount to be invested fill in the blank 3 fill in the blank 4 Net present value $fill in the blank 5 $fill in the blank 6   1b.   Compute a present value index for each project. If required, round your answers to two decimal places. Project Present Value Index Wind Turbines fill in the blank 7 Biofuel Equipment fill in the blank 8   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. Line Item Description Wind Turbines Biofuel Equipment Present value factor for an annuity of $1 fill in the blank 9 fill in the blank 10 Internal rate of return      fill in the blank 11 %      fill in the blank 12 % 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%.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Net present value method, internal rate of return method, and analysis for a service company

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 $230,000 $410,000
2 230,000 410,000
3 230,000 410,000
4 230,000 410,000

 

The wind turbines require an investment of $698,510, while the biofuel equipment requires an investment of $1,170,550. No residual value is expected from either project.

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.

Line Item Description Wind Turbines Biofuel Equipment
Present value of annual net cash flows $fill in the blank 1 $fill in the blank 2
Amount to be invested fill in the blank 3 fill in the blank 4
Net present value $fill in the blank 5 $fill in the blank 6

 

1b.   Compute a present value index for each project. If required, round your answers to two decimal places.

Project Present Value Index
Wind Turbines fill in the blank 7
Biofuel Equipment fill in the blank 8

 

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.

Line Item Description Wind Turbines Biofuel Equipment
Present value factor for an annuity of $1 fill in the blank 9 fill in the blank 10
Internal rate of return      fill in the blank 11 %      fill in the blank 12 %

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%.

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