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
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
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
Related questions
Question

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

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: $
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, accounting and related others by exploring similar questions and additional content below.Recommended textbooks for you


Accounting
Accounting
ISBN:
9781337272094
Author:
WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.
Publisher:
Cengage Learning,

Accounting Information Systems
Accounting
ISBN:
9781337619202
Author:
Hall, James A.
Publisher:
Cengage Learning,


Accounting
Accounting
ISBN:
9781337272094
Author:
WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.
Publisher:
Cengage Learning,

Accounting Information Systems
Accounting
ISBN:
9781337619202
Author:
Hall, James A.
Publisher:
Cengage Learning,

Horngren's Cost Accounting: A Managerial Emphasis…
Accounting
ISBN:
9780134475585
Author:
Srikant M. Datar, Madhav V. Rajan
Publisher:
PEARSON

Intermediate Accounting
Accounting
ISBN:
9781259722660
Author:
J. David Spiceland, Mark W. Nelson, Wayne M Thomas
Publisher:
McGraw-Hill Education

Financial and Managerial Accounting
Accounting
ISBN:
9781259726705
Author:
John J Wild, Ken W. Shaw, Barbara Chiappetta Fundamental Accounting Principles
Publisher:
McGraw-Hill Education