Question

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	$340,000		$710,000
2	340,000		710,000
3	340,000		710,000
4	340,000		710,000

The wind turbines require an investment of $970,700, while the biofuel equipment requires an investment of $2,156,270. 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		%		%

Answer 1

		Wind Turbines	Biofuel Equipment
1a.	Present value of annual net cash flows	$340000*3.170 = $1077800	$710000*3.170 = $2250700
	Amount to be invested	$970,700	$2,156,270
	Net present value	$107,100	$94,430
1b.	Present Value Index = Present value of annual net cash flows/Amount to be invested	1.11	1.04

		Wind Turbines	Biofuel Equipment
2.	Amount to be invested	$970,700	2,156,270
	Divide by: Annual cash inflows	340000	710000
	Present value factor for an annuity of $1	2.855	3.037
	Internal rate of return	15%	12%