Net Present Value-Unequal Lives Project 1 requires an original investment of $57,000. The project will yield cash flows of $9,000 per year for 8 years. Project 2 has a computed net present value of $11,900 over a six-year life. Project 1 could be sold at the end of six years for a price of $37,000. 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 0.705 0.564 0.507 0.432 0.335 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

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
Problem 1PS
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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
2.673
2.487
2.402
2.283
2.106
4
3.465
3.170
3.037
2.855
2.589
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
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 6%. If required, round to the nearest
dollar.
b. Which project provides the greatest net present value?
Transcribed Image Text: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 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 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 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 6%. If required, round to the nearest dollar. b. Which project provides the greatest net present value?
Net Present Value-Unequal Lives
Project 1 requires an original investment of $57,000. The project will yield cash flows of $9,000 per year for 8 years. Project 2 has a computed net present value of
$11,900 over a six-year life. Project 1 could be sold at the end of six years for a price of $37,000.
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
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
Transcribed Image Text:Net Present Value-Unequal Lives Project 1 requires an original investment of $57,000. The project will yield cash flows of $9,000 per year for 8 years. Project 2 has a computed net present value of $11,900 over a six-year life. Project 1 could be sold at the end of six years for a price of $37,000. 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 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
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