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Financial leverage effects The Neal Company wants to estimate next year\'s retur

ID: 2779372 • Letter: F

Question

Financial leverage effects

The Neal Company wants to estimate next year's return on equity (ROE) under different leverage ratios. Neal's total capital is $19 million, it currently uses only common equity, it has no future plans to use preferred stock in its capital structure, and its federal-plus-state tax rate is 40%. The CFO has estimated next year's EBIT for three possible states of the world: $4.4 million with a 0.2 probability, $3 million with a 0.5 probability, and $300,000 with a 0.3 probability. Calculate Neal's expected ROE, standard deviation, and coefficient of variation for each of the following debt-to-capital ratios. Do not round intermediate calculations. Round your answers to two decimal places at the end of the calculations.

Debt/Capital ratio is 0.

Debt/Capital ratio is 10%, interest rate is 9%.

Debt/Capital ratio is 50%, interest rate is 11%.

Debt/Capital ratio is 60%, interest rate is 14%.

Financial leverage effects

The Neal Company wants to estimate next year's return on equity (ROE) under different leverage ratios. Neal's total capital is $19 million, it currently uses only common equity, it has no future plans to use preferred stock in its capital structure, and its federal-plus-state tax rate is 40%. The CFO has estimated next year's EBIT for three possible states of the world: $4.4 million with a 0.2 probability, $3 million with a 0.5 probability, and $300,000 with a 0.3 probability. Calculate Neal's expected ROE, standard deviation, and coefficient of variation for each of the following debt-to-capital ratios. Do not round intermediate calculations. Round your answers to two decimal places at the end of the calculations.

Debt/Capital ratio is 0.

RÔE = % = % CV =

Debt/Capital ratio is 10%, interest rate is 9%.

RÔE = % = % CV =

Debt/Capital ratio is 50%, interest rate is 11%.

RÔE = % = % CV =

Debt/Capital ratio is 60%, interest rate is 14%.

RÔE = % = % CV =

Explanation / Answer

Formulae Used:

Mean ROE = = xipi

Where, xi = ROE and pi = probability of that ROE

Standard Deviation = = ( xi2pi )1/2

Coefficient of Variation = /

Tax Rate = 40%

1) Debt/Capital Ratio = 0

Total Capital = $19 million

Equity= $19million

2) Debt/Capital Ratio = 10%

Total Capital = $19 million

Equity= 90% * 19 = $17.1million

Interest Rate = 9%

3) Debt/Capital Ratio = 50%

Total Capital = $19 million

Equity= 50% * 19 = $9.5million

Interest Rate = 11%

4) Debt/Capital Ratio = 60%

Total Capital = $19 million

Equity= 40% * 19 = $7.6million

Interest Rate = 14%

Probability(p) EBIT Debt Interest EBT PAT ROE(x) xp x2p 0.2 4.4 0 0 4.4 2.64 13.89% 2.78% 0.386% 0.5 3 0 0 3 1.8 9.47% 4.74% 0.449% 0.3 0.3 0 0 0.3 0.18 0.95% 0.28% 0.003% 7.80% 0.84% Expected ROE 7.80% Standard Deviation 4.79% CV 0.61
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