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 28, Problem 20PS
Summary Introduction

To determine: Various financial ratios to complete the balance sheet.

Expert Solution & Answer
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Explanation of Solution

Given information:

Long term debt ratio is 0.4

Times-interest earned is 8.0

Current ratio is 1.4

Cash ratio is 0.2

Inventory turnover ratio is 5.0

Tax rate is 0.40

Quick ratio is 1.0

Calculation of financial ratios:

Total assets=Total liabilities+equity=$115

Therefore, total assets are $115

Totalcurrentliabilities=Notespayable+accountspayables=$25+$30=$55

Therefore, total current liabilities are $55

Totalcurrentassets=Currentratio×totalcurrentliabilities=1.4×$55=$77

Therefore, total current assets are $77

Cash=Cash ratio×totalcurrentliabilities=0.2×$55=$11

Hence, cash is $11

Accountsreceivables=(Quickratio×totalcurrentliabilities)cash=(1×$55)$11=$44

Therefore, accounts receivables are $44

Inventory=Totalcurrent assetscashaccountsreceivables=$77$11$44=$22

Therefore, inventory is $22

Fixed assets=Total assetstotal current assets=$115$77=$38

Therefore, fixed assets are $38

Long-term debt+equity=Totalassetstotalcurrentliabilities=$115$55=$60

Therefore, long-term debt and equity is $60

Long-term debt=(long-termdebt+equity)long-termdebt ratio=$60×0.40=$24

Therefore, long-term debt is $24

Equity=(long-termdebt+equity)long-termdebt =$60$24=$36

Therefore, equity is $36

For completing the balance sheet the following ratios are needed,

Averageinventory=(Begininginventory+endinginventory)2=($22+$26)2=$24

Therefore, average inventory is $24

Inventoryturnover=CostofgoodssoldAverageinventoryCOGS=5.0×$24=$120

Therefore, cost of goods sold is $120

Averagereceivables=(Beginingreceivables+endingreceivables)2=($34+$44)2=$39

Therefore, average receivables are $39

Receivables collection period=Averagereceivables[Sales365]Sales=[$39$73]×365=$195

Therefore, sales are $195

EBIT=SalesCOGSsellingexpensesdepreciation=$195$120$10$20=$45

Therefore, EBIT is $45.

Interest=EBITTimesinterestearned=$45$8=$5.625

Therefore, interest is $5.625

Earnings before tax=EBITinterest=$45$5.625=$39.375

Therefore, interest is $39.375

Tax=Earningsbeforetax×taxrate=$39.375×0.40=$15.75

Therefore, tax is $15.75

Earnings availableforcommonstock=Earnings before taxtax=$39.375$15.75=$23.63

Therefore, company balance sheet is as follows,

Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate), Chapter 28, Problem 20PS

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