Question

Pendergast, Inc., has no debt outstanding, and has a total market value of $180,000. Earnings before interest and taxes (EBIT) are projected to be $23,000 if economic conditions are normal. If there is a strong expansion in the economy, then EBIT will be 20% higher. If there is a recession, then EBIT will be 30% lower. Pendergast is considering a $75,000 debt issue with a 7% interest rate. The proceeds will be used to repurchase shares of stock. There are currently 6,000 shares of stock outstanding, and the relevant tax rate is 35%. a- Calculate ROE and EPS under each of the economic scenarios before any debt is issued. b- Repeat part a, assuming that the company goes through with the capitalization. c- Calculate the percentage changes in EPS when the economy expands or enters a recession.

Answer 1

See the explanation below:

Step-by-step explanation:

a- Calculate ROE and EPS under each of the economic scenarios before any debt is issued.

Under an expansion

Earnings before interest and taxes (EBIT) = $23,000 * (100% + 20%) = $27,600

Earnings after taxes = $27,600 * (100% - 35%) = $17,940

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $17,940 / $180,000 =

0.0997, or 9.97%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $17,940 /

6,000 = $2.99 per share

Under a recession

Earnings before interest and taxes (EBIT) = $23,000 * (100% - 30%) = $16,100

Earnings after taxes = $16,100 * (100% - 35%) = $10,465

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $10,465 / $180,000 =

0.0581, or 5.81%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $10,465 /

6,000 = $1.74 per share

b- Repeat part a, assuming that the company goes through with the capitalization.

Under an expansion

Earnings before interest and taxes (EBIT) = $23,000 * (100% + 20%) = $27,600

Interest on debt = $75,000 * 7% = $5,250

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Earnings after interest = $27,600 - $5,250 = $22,350

Earnings after taxes = $22,350 * (100% - 35%) = $14,527.50

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $14,527.50/ $180,000 =

0.0807, or 8.07%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $14,527.50 /

6,000 = $2.42 per share

Under a recession

Earnings before interest and taxes (EBIT) = $23,000 * (100% - 30%) = $16,100

Interest on debt = $75,000 * 7% = $5,250

Earnings after interest = $16,100 - $5,250 = $10,850

Earnings after taxes = $10,850 * (100% - 35%) = $7,052.50

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $7,052.50 / $180,000 =

0.0392, or 3.92%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $7,052.50 /

6,000 = $1.18 per share

c- Calculate the percentage changes in EPS when the economy expands or enters a recession.

Percentage change under expansion = ($2.42 - $2.99)/$2.99 = 0.1902 decrease, or 19.02% decrease.

Percentage change under recession = ($1.18 - $1.74)/ $1.74 = 0.3218 decrease, or 32.18% decrease