Net present value-unequal lives Project 1 requires an original investment of $50,100. The project will yield cash flows of $10,000 per year for 8 years. Project 2 has a computed net present value of $11,600 over a 6-year life. Project 1 could be sold at the end of 6 years for a price of $38,000. 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% 12% 15% Year 1 2 3 4 5 6 7 8 9 10 1 2 3 4 0.943 5 6 7 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.943 1.833 2.673 3.465 4.212 4.917 0.909 5.582 0.826 0.751 0.683 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% 0.833 1.528 2.106 2.589 2.991 3.326 0.909 1.736 2.487 3.170 3.791 4.355 0.893 0.797 0.712 0.636 0.567 4.868 0.507 0.452 0.404 0.361 0.322 0.893 1.690 2.402 3.037 3.605 4.111 0.870 4.564 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.870 1.626 2.283 2.855 3.353 3.785 20% 4.160 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 3.605

Managerial Accounting
15th Edition
ISBN:9781337912020
Author:Carl Warren, Ph.d. Cma William B. Tayler
Publisher:Carl Warren, Ph.d. Cma William B. Tayler
Chapter12: Capital Investment Analysis
Section: Chapter Questions
Problem 3BE
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Net present value-unequal lives
Project 1 requires an original investment of $50,100. The project will yield cash flows of $10,000 per year for 8 years. Project 2 has a computed net present
value of $11,600 over a 6-year life. Project 1 could be sold at the end of 6 years for a price of $38,000.
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%
Year
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
0.943
0.890
0.840
0.792
0.747
7
0.705
0.665
0.627
0.592
0.558
0.943
1.833
2.673
3.465
4.212
4.917
0.909
5.582
0.826
0.751
0.683
0.621
0.564
0.513
0.467
0.424
0.386
0.909
1.736
2.487
3.170
3.791
4.355
12%
4.868
0.893
0.797
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
Present Value of an Annuity of $1 at Compound Interest
Year
6%
10%
12%
15%
20%
0.893
1.690
2.402
3.037
3.605
4.111
15%
4.564
0.870
0.756
0.658
0.572
0.497
0.432
0.376
0.327
0.284
0.247
0.870
1.626
2.283
2.855
3.353
3.785
20%
4.160
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
Transcribed Image Text:Net present value-unequal lives Project 1 requires an original investment of $50,100. The project will yield cash flows of $10,000 per year for 8 years. Project 2 has a computed net present value of $11,600 over a 6-year life. Project 1 could be sold at the end of 6 years for a price of $38,000. 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% Year 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 0.943 0.890 0.840 0.792 0.747 7 0.705 0.665 0.627 0.592 0.558 0.943 1.833 2.673 3.465 4.212 4.917 0.909 5.582 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.909 1.736 2.487 3.170 3.791 4.355 12% 4.868 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 0.893 1.690 2.402 3.037 3.605 4.111 15% 4.564 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.870 1.626 2.283 2.855 3.353 3.785 20% 4.160 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
Present Value of an Annuity of $1 at Compound Interest
Year
6%
10%
12%
15%
20%
1
2
3
4
5
6
7
8
9
10
0.943
1.833
Feedback
2.673
3.465
4.212
4.917
5.582
6.210
6.802
7.360
0.909
1.736
2.487
3.170
3.791
4.355
4.868
5.335
5.759
6.145
0.893
1.690
2.402
3.037
3.605
4.111
4.564
4.968
5.328
5.650
0.870
1.626
2.283
2.855
3.353
3.785
4.160
4.487
4.772
5.019
0.833
1.528
2.106
2.589
2.991
3.326
3.605
3.837
4.031
4.192
a. Determine the net present value of Project 1 over a 6-year life with residual value, assuming a minimum rate of return of 12%. If required, round to
the nearest dollar.
b. Which project provides the greatest net present value?
Project 2
Transcribed Image Text:Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 2 3 4 5 6 7 8 9 10 0.943 1.833 Feedback 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 0.893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 5.328 5.650 0.870 1.626 2.283 2.855 3.353 3.785 4.160 4.487 4.772 5.019 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 a. Determine the net present value of Project 1 over a 6-year life with residual value, assuming a minimum rate of return of 12%. If required, round to the nearest dollar. b. Which project provides the greatest net present value? Project 2
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