1.

Net Present ValueUnequal Lives

Project 1 requires an original investment of $71,300. The project will yield cash flows of $13,000 per year for seven years. Project 2 has a calculated net present value of $22,700 over a five-year life. Project 1 could be sold at the end of five years for a price of $49,000.

Use the Present Value of $1 at Compound Interest and the Present Value of an Annuity of $1 at Compound Interest tables shown below.

Present Value of $1 at Compound Interest
Year	6%	10%	12%	15%	20%
1	0.943	0.909	0.893	0.870	0.833
2	0.890	0.826	0.797	0.756	0.694
3	0.840	0.751	0.712	0.658	0.579
4	0.792	0.683	0.636	0.572	0.482
5	0.747	0.621	0.567	0.497	0.402
6	0.705	0.564	0.507	0.432	0.335
7	0.665	0.513	0.452	0.376	0.279
8	0.627	0.467	0.404	0.327	0.233
9	0.592	0.424	0.361	0.284	0.194
10	0.558	0.386	0.322	0.247	0.162

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

a. Determine the net present value of Project 1 over a five-year life with residual value, assuming a minimum rate of return of 6%. If required, round to the nearest dollar. $

b. Which project provides the greatest net present value?

2.

Cash payback period for a Service Company

Prime Financial Inc. is evaluating two capital investment proposals for a drive-up ATM kiosk, each requiring an investment of $200,000 and each with an eight-year life and expected total net cash flows of $320,000. Location 1 is expected to provide equal annual net cash flows of $40,000, and Location 2 is expected to have the following unequal annual net cash flows:

Year 1	$90,000		Year 5	$29,000
Year 2	68,000		Year 6	22,000
Year 3	42,000		Year 7	17,000
Year 4	38,000		Year 8	14,000

Determine the cash payback period for both location proposals.

Location 1	years
Location 2	years

3.

Net Present Value Method

The following data are accumulated by Paxton Company in evaluating the purchase of $84,900 of equipment, having a four-year useful life:

	Net Income		Net Cash Flow
Year 1	$30,000		$50,000
Year 2	18,000		39,000
Year 3	9,000		29,000
Year 4	(1,000)		20,000

Present Value of $1 at Compound Interest
Year	6%	10%	12%	15%	20%
1	0.943	0.909	0.893	0.870	0.833
2	0.890	0.826	0.797	0.756	0.694
3	0.840	0.751	0.712	0.658	0.579
4	0.792	0.683	0.636	0.572	0.482
5	0.747	0.621	0.567	0.497	0.402
6	0.705	0.564	0.507	0.432	0.335
7	0.665	0.513	0.452	0.376	0.279
8	0.627	0.467	0.404	0.327	0.233
9	0.592	0.424	0.361	0.284	0.194
10	0.558	0.386	0.322	0.247	0.162

a. Assuming that the desired rate of return is 15%, determine the net present value for the proposal. Use the table of the present value of $1 presented above. If required, round to the nearest dollar. If required, use the minus sign to indicate a negative net present value.

Present value of net cash flow	$
Amount to be invested	$
Net present value	$

b. Would management be likely to look with favor on the proposal? The net present value indicates that the return on the proposal is than the minimum desired rate of return of 15%.