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: Net Cash Flows Office Expansion $125,000 125,000 125,000 125,000 125,000 125,000 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. Year 1 2 3 Year 4 5 6 7 8 9 10 1 1 2 2 3 4 5 6 0.943 Present Value of $1 at Compound Interest 6% 10% 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.909 0.826 0.751 0.683 0.621 0.564 0.943 1.833 0.513 0.467 0.424 0.386 Net Cash Flows Servers 0.909 $165,000 165,000 165,000 165,000 1.736 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.893 15% 1.690 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 20% Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 0.833 0.870 1.626 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 1.528

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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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
Year
3
4
5
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.
6
7
8
9
10
1
1
2
3
2
4
5
6
3
0.943
0.890
0.840
Present Value of $1 at Compound Interest
6%
10%
12%
0.792
0.747
0.705
0.665
0.627
0.592
0.558
Net Cash
Flows
Office
Expansion
$125,000
125,000
125,000
125,000
125,000
125,000
0.943
1.833
2.673
0.909
0.826
0.751
0.683
0.621
0.564
0.513
0.467
0.424
0.386
Net Cash
Flows
Servers
$165,000
165,000
165,000
165,000
0.909
1.736
2.487
0.893
0.797
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
0.893
1.690
15%
2.402
0.870
0.756
0.658
0.572
0.497
0.432
0.376
0.327
0.284
0.247
Present Value of an Annuity of $1 at Compound Interest
Year
6%
10%
12%
15%
20%
20%
0.870
1.626
2.283
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
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 Year 3 4 5 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. 6 7 8 9 10 1 1 2 3 2 4 5 6 3 0.943 0.890 0.840 Present Value of $1 at Compound Interest 6% 10% 12% 0.792 0.747 0.705 0.665 0.627 0.592 0.558 Net Cash Flows Office Expansion $125,000 125,000 125,000 125,000 125,000 125,000 0.943 1.833 2.673 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 Net Cash Flows Servers $165,000 165,000 165,000 165,000 0.909 1.736 2.487 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.893 1.690 15% 2.402 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 20% 0.870 1.626 2.283 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
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
Net present value
4.868
5.335
5.759
6.145
0.893
1.690
2.402
3.037
3.605
Present value of annual net cash flows
4.111
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
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
23,875 X
5.019
0.833
1.528
2.106
2.589
2.991
3.326
3.605
3.837
4.031
4.192
490,000
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
23,875 X
Servers Upgrade
4,105 X
$
11,105 X $
490,000
490,000
$
11,105
Servers Upgrade
4,105 X
11,105 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 Net present value 4.868 5.335 5.759 6.145 0.893 1.690 2.402 3.037 3.605 Present value of annual net cash flows 4.111 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 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 23,875 X 5.019 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 490,000 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 23,875 X Servers Upgrade 4,105 X $ 11,105 X $ 490,000 490,000 $ 11,105 Servers Upgrade 4,105 X 11,105 X $ 490,000 11,105 X
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