Net Present Value—Unequal LivesProject 1 requires an original investment of $72,900. The project will yield cash flows of $19,000 per year for eight years. Project 2 has a calculated net present value of $15,200 over a six-year life. Project 1 could be sold at the end of six years for a price of $80,000.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 InterestYear6%10%12%15%20%10.9430.9090.8930.8700.83320.8900.8260.7970.7560.69430.8400.7510.7120.6580.57940.7920.6830.6360.5720.48250.7470.6210.5670.4970.40260.7050.5640.5070.4320.33570.6650.5130.4520.3760.27980.6270.4670.4040.3270.23390.5920.4240.3610.2840.194100.5580.3860.3220.2470.162 Present Value of an Annuity of $1 at Compound InterestYear6%10%12%15%20%10.9430.9090.8930.8700.83321.8331.7361.6901.6261.52832.6732.4872.4022.2832.10643.4653.1703.0372.8552.58954.2123.7913.6053.3522.99164.9174.3554.1113.7843.32675.5824.8684.5644.1603.60586.2105.3354.9684.4873.83796.8025.7595.3284.7724.031107.3606.1455.6505.0194.192a. Determine the net present value of Project 1 over a six-year life with residual value, assuming a minimum rate of return of 20%. If required, round to the nearest dollar.b. Which project provides the greatest net present value?

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FINANCIAL ACCOUNTING

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ISBN:9781259964947

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Chapter1: Financial Statements And Business Decisions

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Net Present Value—Unequal Lives

Project 1 requires an original investment of $72,900. The project will yield cash flows of $19,000 per year for eight years. Project 2 has a calculated net present value of $15,200 over a six-year life. Project 1 could be sold at the end of six years for a price of $80,000.

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 six-year life with residual value, assuming a minimum rate of return of 20%. If required, round to the nearest dollar.

b. Which project provides the greatest net present value?

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