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

FINANCIAL ACCOUNTING
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ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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**Project Evaluation of Office Expansion and Server Upgrade at Sentry Insurance Co.**

The investment committee of Sentry Insurance Co. is evaluating two projects: office expansion and the upgrade of computer servers. Each project has different useful lives but requires an investment of $490,000. Below are the estimated net cash flows for each project:

| Year | Net Cash Flows Office Expansion | Net Cash Flows 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 the purpose of net present value (NPV) analysis. It also estimates that the residual value at the end of each project's useful life is $0. However, at the end of the fourth year, the office expansion's residual value would be $180,000.

### Present Value Tables

To assist with the NPV calculations, the following are the present value tables for $1 at compound interest and for an annuity of $1 at different interest rates:

#### 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
Transcribed Image Text:**Project Evaluation of Office Expansion and Server Upgrade at Sentry Insurance Co.** The investment committee of Sentry Insurance Co. is evaluating two projects: office expansion and the upgrade of computer servers. Each project has different useful lives but requires an investment of $490,000. Below are the estimated net cash flows for each project: | Year | Net Cash Flows Office Expansion | Net Cash Flows 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 the purpose of net present value (NPV) analysis. It also estimates that the residual value at the end of each project's useful life is $0. However, at the end of the fourth year, the office expansion's residual value would be $180,000. ### Present Value Tables To assist with the NPV calculations, the following are the present value tables for $1 at compound interest and for an annuity of $1 at different interest rates: #### 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
### Present Value of an Annuity of $1 at Compound Interest

This table depicts the present value of an annuity of $1 at various compound interest rates over different time periods.

| 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 Task

**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.**

The first set of calculations involves two projects:
- Office Expansion
- Servers Upgrade

For each project, the following parameters are given:
- Present value of annual net cash flows
- Amount to be invested
- Net present value

**Office Expansion**

- Present value of annual net cash flows: $23,875
- Amount to be invested: $
Transcribed Image Text:### Present Value of an Annuity of $1 at Compound Interest This table depicts the present value of an annuity of $1 at various compound interest rates over different time periods. | 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 Task **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.** The first set of calculations involves two projects: - Office Expansion - Servers Upgrade For each project, the following parameters are given: - Present value of annual net cash flows - Amount to be invested - Net present value **Office Expansion** - Present value of annual net cash flows: $23,875 - Amount to be invested: $
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