PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 28, Problem 9PS

Financial ratios* As you can see, someone has spilled ink over some of the entries in the balance sheet and income statement of Transylvania Railroad (Table 28.9). Can you use the following information to work out the missing entries? (Note: For this problem, use the following definitions: inventory turnover = COGS/average inventory; receivables collection period = average receivables/|sales/365|.)

  • Long-term debt ratio: .4.
  • Times-interest-earned: 8.0.

Chapter 28, Problem 9PS, Financial ratios As you can see, someone has spilled ink over some of the entries in the balance

  • Current ratio: 1.4.
  • Quick ratio: 1.0.
  • Cash ratio: .2.
  • Inventory turnover: 5.0.
  • Receivables collection period: 73 days. Tax rate = .4.
Expert Solution & Answer
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Summary Introduction

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

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 is $115

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

Therefore, total current liabilities is $55

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

Therefore, total current assets is $77

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

Hence, cash is $11

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

Therefore, accounts receivables is $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 is $39

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

Therefore, sales is $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,

PRIN.OF CORPORATE FINANCE, Chapter 28, Problem 9PS

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