Answer: ROE increases by 56.5% to 102.7%
Explanation:
ROE before capital structure change:
= Net income / Equity
= (Operating income * ( 1 - tax)) / Equity
= (6,000,000 * (1 - 23%)) / 10,000,000
= 46.2%
With new capital structure:
Debt financing = 59% * 10,000,000
= $5,900,000
Interest = 9% * 5,900,000
= $531,000
Net income = (Operating profit - interest) * ( 1 - tax)
= (6,000,000 - 531,000) * ( 1 - 23%)
= $4,211,130
Return on Equity = 4,211,130 / ( 10,000,000 - 5,900,000)
= 102.7%
Difference:
= 102.7 - 46.2
= 56.5%
