CFIN
CFIN
5th Edition
ISBN: 9781305661639
Author: Scott Besley, Eugene Brigham
Publisher: Cengage Learning
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Chapter 9, Problem 1PROB
Summary Introduction

To make capital budgeting decision, it is required that the asset and or projects are properly evaluated. This is done as follows:

Estimated the cash flows which is expected to be generated from the project or asset

Evaluate the riskiness of the project and determine an appropriate discount rate specific for the project

Determine the present value of all the expected cash flows, this is done by using the below equation

PV of CF=CF^1(1+r)1+CF^2(1+r)2+.......+CFn^(1+r)n=t=1nCFt^(1+r)t    

Here,

Expected net cash flow in Period t is “CFt^

Required rate of return is “r

Now, compare the present value of future expected cash flows with the cost of the project. If the present value of cash inflows is higher than the present value of the cost of the asset or project, the project shall be accepted, as it would generate profit.

A company is expected to generate $36,950 per year for the next six years. The required rate of return is 10%.

Expert Solution & Answer
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Explanation of Solution

Present value of the cash flows of $36,950 for 6 years at 10% can be calculated using present value annuity formula as below:

PV of CF=CF×[1(1+r)nr]        =$36,950×[1(1+0.10)60.10]           =$36,950×[10.5644739300537770.10]         =$36,950×0.4355260699462230.10             =$160,926.882845129 or $160,926.88

Therefore, the value of the project would be $160,926.88.

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