Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 22, Problem 17PS

a.

Summary Introduction

To determine: The present value of payoffs.

a.

Expert Solution
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Answer to Problem 17PS

The present value of payoffs is $16,875,000.

Explanation of Solution

Determine the present value of payoffs

Excel Spreadsheet:

PresentValueofPayoffs=[PayoffsYear0×Ratio]=[$18,000,000×93.75%]=$16,875,000

Therefore, the present value of payoffs is $16,875,000.

b.

Summary Introduction

To determine: The abandonment value.

b.

Expert Solution
Check Mark

Answer to Problem 17PS

The abandonment value is $1,936,448.60.

Explanation of Solution

Determine the gain value

The gain value is calculated if the demand is buoyant.

GainValue=[(PayoffsYear1PVofPayoffs)1]=[($22,500,000$16,875,000)1]=0.333333or33.33%

Therefore the gain value is 33.33%.

Determine the loss value

The loss value is calculated if the demand is sluggish.

LossValue=[(PayoffsYear1PVofPayoffs)1]=[($15,000,000$16,875,000)1]=0.11111or11.11%

Therefore, the loss value is -11.11%.

Determine p

The value of put can be calculate using the risk neutral method, were p is identical to the probability of increase in the asset value.

rf=[(p×GainValue)+(1p)×LossValue]7%=[(p×33.33%)+((1p)×(11.11%))]p=0.408

Therefore p is 0.408.

Determine the abandonment value:

If the demand is sluggish the payoffs will be $0 and if the demand is buoyant the payoffs is $3,500,000.

AbandonmentValue=[(p×PayoffsSluggish)+((1p)×PayoffsBuoyant)(1+InterestRate)]=[(0.408×$0)+((10.408)×($18,500,000$15,000,000))(1+7%)]=[$2,072,0001.07]=$1,936,448.60

Therefore, the abandonment value is $1,936,448.60.

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