KetaFord1978
11.05.2021 •
Business
Firms HL and LL are identical except for their leverage ratios and the interest rates they pay on debt. Each has $25 million in invested capital, has $5 million of EBIT, and is in the 40% federal-plus-state tax bracket. Firm HL, however, has a debt-to-capital ratio of 55% and pays 11% interest on its debt, whereas LL has a 20% debt-to-capital ratio and pays only 10% interest on its debt. Neither firm uses preferred stock in its capital structure.
1. Calculate the return on invested capital (ROIC) for each firm. Round your answers to two decimal places.
ROIC for firm LL is %
ROIC for firm HL is %
2. Calculate the rate of return on equity (ROE) for each firm. Round your answers to two decimal places.
ROE for firm LL is %
ROE for firm HL is %
3. Observing that HL has a higher ROE, LL's treasurer is thinking of raising the debt-to-capital ratio from 20% to 60%, even though that would increase LL's interest rate on all debt to 15%. Calculate the new ROE for LL. Round your answer to two decimal places.
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Ответ:
A. ROIC for firm LL 12%
ROIC for firm HL 12%
B. ROE for firm LL 13.5%
ROE for firm HL 18.6%
C. New ROE for firm LL 16.5%
Explanation:
A. Calculation to determine the return on invested capital (ROIC) for each firm
Using this formula
ROIC=EBIT(1-T)/Total Invested Capital
Let plug in the formula
ROIC=$5 million(1-.40)/$25 million
ROIC=$5 million*.60/$25 million
ROIC=$3 million/$25 million
ROIC=0.12*100
ROIC=12% for both firms
Therefore the return on invested capital (ROIC) for each firm is:
ROIC for firm LL is 12%
ROIC for firm HL is 12%
B. Calculation to determine the rate of return on equity (ROE) for each firm.
Calculation for ROE for firm LL
First step is to calculate the Debt
Debt=$25 million*20%
Debt=$5 million
Second step is to calculate the Debt Interest
Debt Interest=$5 million*10%
Debt Interest=$500,000
Third step is to calculate the EBIT of firm LL
EBIT of firm LL=$5 million- $500,000
EBIT of firm LL=$4,500,000
Fourth step is to calculate Tax owed
Tax owed =$4,500,000*40%
Tax owed =$1,800,000
Fifth step is to calculate the Net income of firm LL
Net income of firm LL=$4,500,000-$1,800,000
Net income of firm LL=$2,700,000
Sixth step is to calculate the Equity for firm LL
Equity for firm LL=$25million-$5 million
Equity for firm LL=$20 million
Now let calculate the ROE using this formula
ROE=Net income /Equity
Let plug in the formula
ROE=$2,700,000/$20 million*100
ROE=13.5%
Calculation for ROE for firm HL
First step is to calculate the Debt
Debt=$25 million*55%
Debt=$13,750,000
Second step is to calculate the EBIT of firm HL
EBIT of firm HL=$5 million-[(55%*$25 million)*11%]
EBIT of firm HL=$5 million-($13,750,000*11%)
EBIT of firm HL=$5 million-$1,512,500
EBIT of firm HL=$3,487,500
Third step is to calculate the Tax owed
Tax owed =$3,487,500*40%
Tax owed =$1,395,000
Fourth step is to calculate the Net income of firm HL
Net income of firm HL=$3,487,500-$1,395,000
Net income of firm HL=$2,092,500
Fifth step is to calculate the Equity for firm HL
Equity for firm HL=$25million- $13,750,000
Equity for firm HL=$11,250,000
Now let calculate the ROE using this formula
ROE=Net income /Equity
ROE=$2,092,500/$11,250,000*100
ROE=18.6%
Therefore the rate of return on equity (ROE) for each firm is:
ROE for firm LL is 13.5%
ROE for firm HL is 18.6%
C. Calculation to determine the new ROE for LL
First step is to calculate the debt
Debt=$25 million*60%
Debt=$15 million
Second step is to calculate the Debt Interest
Debt Interest=$15 million*15%
Debt Interest=$2,250,000
Third step is to calculate the EBIT of firm LL
EBIT of firm LL=$5 million- $2,250,000
EBIT of firm LL=$2,750,000
Fourth step is to calculate the Tax owed
Tax owed =$2,750,000*40%
Tax owed =$1,100,000
Fifth step is to calculate the Net income of firm LL
Net income of firm LL=$2,750,000-$1,100,000
Net income of firm LL=$1,650,000
Sixth step is to calculate the Equity for firm LL
Equity for firm LL=$25million-$15 million
Equity for firm LL=$10 million
Now let calculate the New ROE using this formula
ROE=Net income /Equity
Let Plug in the formula
ROE=$1,650,000/$10 million*100
ROE=16.5%
Therefore the new ROE for LL is 16.5%
Ответ:
a
Explanation:
cause it is