Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 2 3 4 5 6 7 8 D 0.943 1.833 2.673 3.465 4.212 4.917 5.582 6.210 6.802 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5 750 0.893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 5.328 0.870 1.626 2.283 2.855 3.353 3.785 4.160 4.487 4.772 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4. 031

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 5PA
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100%
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
2.673
3.465
4.212
4.917
5.582
6.210
6.802
7.360
Amount to be invested
Net present value
0.909
1.736
2.487
3.170
Amount to be invested
3.791
4.355
4.868
Net present value
5.335
5.759
6.145
0.893
1.690
2.402
3.037
3.605
4.111
Present value of annual net cash flows
4.564
4.968
5.328
5.650
Total present value of net cash flow
0.870
1.626
2.283
2.855
3.353
3.785
4.160
4.487
4.772
5.019
0.833
1.528
Required:
1. For each project, compute the net present value. Use the present value of an annuity of $1 table above. Ignore
the unequal lives of the projects. If required, round to the nearest dollar.
Office Expansion
Servers Upgrade
513,875
2.106
2.589
2.991
3.326
3.605
3.837
4.031
4.192
490,000
23,875
2. For each project, compute the net present value, assuming that the office expansion is adjusted to a 4-year
life for purposes of analysis. Use the present value of $1 table above.
Office Expansion
494,105 X
490,000
501,105
490,000
4,105 X $
11,105
Servers Upgrade
501,105 X
490,000
11,105 X
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 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 Amount to be invested Net present value 0.909 1.736 2.487 3.170 Amount to be invested 3.791 4.355 4.868 Net present value 5.335 5.759 6.145 0.893 1.690 2.402 3.037 3.605 4.111 Present value of annual net cash flows 4.564 4.968 5.328 5.650 Total present value of net cash flow 0.870 1.626 2.283 2.855 3.353 3.785 4.160 4.487 4.772 5.019 0.833 1.528 Required: 1. For each project, compute the net present value. Use the present value of an annuity of $1 table above. Ignore the unequal lives of the projects. If required, round to the nearest dollar. Office Expansion Servers Upgrade 513,875 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 490,000 23,875 2. For each project, compute the net present value, assuming that the office expansion is adjusted to a 4-year life for purposes of analysis. Use the present value of $1 table above. Office Expansion 494,105 X 490,000 501,105 490,000 4,105 X $ 11,105 Servers Upgrade 501,105 X 490,000 11,105 X
The investment committee of Sentry Insurance Co. is evaluating two projects, office expansion and upgrade to
computer servers. The projects have different useful lives, but each requires an investment of $490,000. The
estimated net cash flows from each project are as follows:
Year
1
2
3
Year
4
5
6
1
2
The committee has selected a rate of 12% for purposes of net present value analysis. It also estimates that the
residual value at the end of each project's useful life is $0, but at the end of the fourth year, the office expansion's
residual value would be $180,000.
7
8
9
10
3
4
5
6
0.943
0.890
Present Value of $1 at Compound Interest
6%
10%
12%
0.840
0.792
0.747
0.705
0.665
0.627
Net Cash
Flows
Office
Expansion
$125,000
125,000
125,000
125,000
125,000
125,000
0.592
0.558
0.909
0.826
0.751
0.683
0.621
0.564
0.513
Net Cash
Flows
Servers
0.467
0.424
$165,000
165,000
165,000
165,000
0.386
0.893
0.797
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
15%
0.870
0.756
0.658
0.572
0.497
0.432
0.376
0.327
0.284
0.247
20%
0.833
0.694
0.579
0.482
0.402
0.335
0.279
0.233
0.194
0.162
Transcribed Image Text:The investment committee of Sentry Insurance Co. is evaluating two projects, office expansion and upgrade to computer servers. The projects have different useful lives, but each requires an investment of $490,000. The estimated net cash flows from each project are as follows: Year 1 2 3 Year 4 5 6 1 2 The committee has selected a rate of 12% for purposes of net present value analysis. It also estimates that the residual value at the end of each project's useful life is $0, but at the end of the fourth year, the office expansion's residual value would be $180,000. 7 8 9 10 3 4 5 6 0.943 0.890 Present Value of $1 at Compound Interest 6% 10% 12% 0.840 0.792 0.747 0.705 0.665 0.627 Net Cash Flows Office Expansion $125,000 125,000 125,000 125,000 125,000 125,000 0.592 0.558 0.909 0.826 0.751 0.683 0.621 0.564 0.513 Net Cash Flows Servers 0.467 0.424 $165,000 165,000 165,000 165,000 0.386 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 15% 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 20% 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162
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