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 Year Office Expansion Servers 1 $125,000 $165,000 2 125,000 165,000 3 125,000 165,000 4 125,000 165,000 5 125,000 6 125,000 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. 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 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 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 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 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 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 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 Server Upgrade Present value of annual net cash flows $fill in the blank 1 $fill in the blank 2 Less amount to be invested $fill in the blank 3 $fill in the blank 4 Net present value $fill in the blank 5 $fill in the blank 6 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. If required, round to the nearest dollar. Office Expansion Server Upgrade Present value of net cash flow total $fill in the blank 7 $fill in the blank 8 Less amount to be invested $fill in the blank 9 $fill in the blank 10 Net present value $fill in the blank 11 $fill in the blank 12

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 Year Office Expansion Servers 1 $125,000 $165,000 2 125,000 165,000 3 125,000 165,000 4 125,000 165,000 5 125,000 6 125,000 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. 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 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 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 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 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 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 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 Server Upgrade Present value of annual net cash flows $fill in the blank 1 $fill in the blank 2 Less amount to be invested $fill in the blank 3 $fill in the blank 4 Net present value $fill in the blank 5 $fill in the blank 6 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. If required, round to the nearest dollar. Office Expansion Server Upgrade Present value of net cash flow total $fill in the blank 7 $fill in the blank 8 Less amount to be invested $fill in the blank 9 $fill in the blank 10 Net present value $fill in the blank 11 $fill in the blank 12

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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Question

	Net Cash Flows
Year		Office Expansion	Servers
1		$125,000	$165,000
2	125,000	165,000
3	125,000	165,000
4	125,000	165,000
5	125,000
6	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.

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
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

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
3	2.673	2.487	2.402	2.283	2.106
4	3.465	3.170	3.037	2.855	2.589
5	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
9	6.802	5.759	5.328	4.772	4.031
10	7.360	6.145	5.650	5.019	4.192

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	Server Upgrade
Present value of annual net cash flows	$fill in the blank 1	$fill in the blank 2
Less amount to be invested	$fill in the blank 3	$fill in the blank 4
Net present value	$fill in the blank 5	$fill in the blank 6

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. If required, round to the nearest dollar.

	Office Expansion	Server Upgrade
Present value of net cash flow total	$fill in the blank 7	$fill in the blank 8
Less amount to be invested	$fill in the blank 9	$fill in the blank 10
Net present value	$fill in the blank 11	$fill in the blank 12

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