Project 1 requires an original investment of $65,200. The project will yield cash flows of $14,000 per year for 5 years. Project 2 has a computed net present value of $15,700 over a three-year life. Project 1 could be sold at the end of three years for a price of $65,000. 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 6% 10% 20% 0.943 0.909 0.833 0.890 0.826 0.797 0.694 0.840 0.751 0.712 0.658 0.579 0.792 0.683 0.636 0.572 0.482 0.747 0.621 0.567 0.497 0.402 0.705 0.564 0.507 0.432 0.335 0.665 0.452 0.376 0.279 0.513 0.627 0.467 0.404 0.327 0.233 0.592 0.424 0.361 0.284 0.194 0.247 0.162 0.558 0.386 0.322 Year 1 2 3 4 5 6 7 8 9 10 12% 15% 0.893 0.870 0.756 Present Value of an Annuity of $1 at Compound Interest Year 6% 12% 15% 10% 20% 0.943 0.909 0.893 0.870 0.833 1.833 1.626 1.528 1.736 1.690 2.487 2.402 2.283 2.106 3.037 2.855 2.589 3.170 3.791 3.605 3.353 2.991 4.355 4.111 3.785 3.326 4.868 4.564 4.160 3.605 5.335 4.968 4.487 3.837 5.759 5.328 4.772 4.031 5.019 4.192 1 2 3 4 5 6 7 8 9 10 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 6.145 5.650
Project 1 requires an original investment of $65,200. The project will yield cash flows of $14,000 per year for 5 years. Project 2 has a computed net present value of $15,700 over a three-year life. Project 1 could be sold at the end of three years for a price of $65,000. 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 6% 10% 20% 0.943 0.909 0.833 0.890 0.826 0.797 0.694 0.840 0.751 0.712 0.658 0.579 0.792 0.683 0.636 0.572 0.482 0.747 0.621 0.567 0.497 0.402 0.705 0.564 0.507 0.432 0.335 0.665 0.452 0.376 0.279 0.513 0.627 0.467 0.404 0.327 0.233 0.592 0.424 0.361 0.284 0.194 0.247 0.162 0.558 0.386 0.322 Year 1 2 3 4 5 6 7 8 9 10 12% 15% 0.893 0.870 0.756 Present Value of an Annuity of $1 at Compound Interest Year 6% 12% 15% 10% 20% 0.943 0.909 0.893 0.870 0.833 1.833 1.626 1.528 1.736 1.690 2.487 2.402 2.283 2.106 3.037 2.855 2.589 3.170 3.791 3.605 3.353 2.991 4.355 4.111 3.785 3.326 4.868 4.564 4.160 3.605 5.335 4.968 4.487 3.837 5.759 5.328 4.772 4.031 5.019 4.192 1 2 3 4 5 6 7 8 9 10 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 6.145 5.650
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Transcribed Image Text:Net Present Value-Unequal Lives
Project 1 requires an original investment of $65,200. The project will yield cash flows of $14,000 per year for 5 years. Project 2 has a computed net present value of $15,700 over a three-year life. Project 1 could be sold at the end of
three years for a price of $65,000.
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
10%
0.909
0.826
0.751
0.683
Year
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
6%
10
0.943
0.890
0.840
0.792
0.747
0.705
0.665
0.627
0.592
0.558
2.673
3.465
4.212
4.917
5.582
6.210
0.621
0.564
0.513
0.467
0.424
0.386
Present Value of an Annuity of $1 at Compound Interest
Year
6%
10%
12%
15%
20%
0.943
0.870
1.833
1.626
2.283
2.855
6.802
7.360
0.909
1.736
2.487
3.170
3.791
4.355
4.868
12%
5.335
5.759
6.145
0.893
0.797
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
0.893
1.690
2.402
3.037
3.605
4.111
4.564
4.968
15%
5.328
5.650
0.870
0.756
0.658
0.572
0.497
0.432
0.376
0.327
0.284
0.247
3.353
3.785
4.160
4.487
20%
4.772
5.019
0.833
0.694
0.579
0.482
0.402
0.335
0.279
0.233
0.194
0.162
0.833
1.528
2.106
2.589
2.991
3.326
3.605
3.837
4.031
4.192

Transcribed Image Text:a. Determine the net present value of Project 1 over a three-year life with residual value, assuming a minimum rate of return of 10%. If required, round to the nearest dollar.
b. Which project provides the greatest net present value?
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