Fundamentals of Financial Management, Concise Edition
Fundamentals of Financial Management, Concise Edition
10th Edition
ISBN: 9781337911054
Author: Eugene F. Brigham, Joel F. Houston
Publisher: Cengage Learning US
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Chapter 16, Problem 8P

LONG-TERM FINANCING NEEDED At year-end 2019, total assets for Arrington Inc. were $1.8 million and accounts payable were $450,000. Sales, which in 2019 were $3.0 million, are expected to increase by 25% in 2020. Total assets and accounts payable are proportional to sales, and that relationship will be maintained; that is, they will grow at the same rate as sales. Arrington typically uses no current liabilities other than accounts payable. Common stock amounted to $500,000 in 2019, and retained earnings were $475,000. Arrington plans to sell new common stock in the amount of $130,000. The firm’s profit margin on sates is 5%; 35% of earnings will be retained.

  1. a. What were Arrington’s total liabilities in 2019?
  2. b. How much new long-term debt financing will be needed in 2020? (Hint: AFN - New stock = New long-term debt.)

a.

Expert Solution
Check Mark
Summary Introduction

To Determine: The total liabilities of Company AI in 2019.

AFN is abbreviated as additional funds needed, is the measure of cash an organization must rise from outer sources to back the expansion in assets necessary to help expanded level of sales. It is additionally called as external financing needed (EFN).

Answer to Problem 8P

The total liabilities of Company AI in 2019 are $825,000.

Explanation of Solution

Determine the total liabilities of Company AI in 2019

TotalLiabilities=[TotalliabilitiesandequityCommonstockRetainedearnings]=[$1,800,000$500,000$475,000]=$825,000

Therefore the total liabilities of Company AI in 2019 is $825,000.

b.

Expert Solution
Check Mark
Summary Introduction

To Determine: The new long-term debt financing needed in 2020.

Answer to Problem 8P

The new long-term debt financing needed in 2020 is $141,875.

Explanation of Solution

Determine the sales for the year 2020

Sales2019=[Sales2018×(1+IncreaseinSales)]=[$3,000,000×(1+25%)]=$3,750,000

Therefore, the sales for the year 2020 is $3,750,000.

Determine the change in sales

ChangeinSales=[Sales2019Sales2018]=[$3,750,000$3,000,000]=$750,000

Therefore the change in sales is $750,000.

Determine the total liabilities of Company AI in 2020

AFN=[(A0*S0)×ΔS(L0*S0)×ΔS(M×S1×RR)SaleofCommonStock]=[($1,800,000$3,000,000)×$750,000($450,000$3,000,000)×$750,000(5%×$3,750,000×35%)$130,000]=[(0.6×$750,000)(0.15×$750,000)$65,625$130,000]=[$450,000$112,500$65,625$130,000]=$141,875

Here,

AFN - Denotes additional funds needed

(A0*S0)×ΔS - Denotes projected increase in assets

(L0*S0)×ΔS- Denotes spontaneous increase in liabilities

(M×S1×RR) - Denotes increase in retained earnings

Therefore, the new long-term debt financing needed in 2020 is $141,875.

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Eccles Inc., a zero-growth firm, has an expected EBIT of $100.000 and a corporate tax rate of 30%. Eccles uses $500,000 of 12.0% debt, and the cost of equity to an unlevered firm in the same risk class is 16.0%. If the effective personal tax rates on debt income and stock income are Td = 25% and TS = 20% respectively, what is the value of the firm according to the Miller model (Based on the same unlevered firm value in the earlier question)? a. $475,875 b. $536,921 c. $587,750 d. $623,050 e. $564,167
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