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Pendergast, Inc., has no debt outstanding and a total market value of $180,000.

ID: 2762943 • Letter: P

Question

Pendergast, Inc., has no debt outstanding and 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 strong expansion in the economy, then EBIT will be 20 percent higher. If there is a recession, then EBIT will be 30 percent lower. Pendergast is considering a $75,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 6,000 shares outstanding. Ignore taxes for questions a and b. Assume the company has a market-to-book ratio of 1.0.

  

Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued. (Round your answers to 2 decimal places. (e.g., 32.16))

  

  

Calculate the percentage changes in ROE when the economy expands or enters a recession.(Negative amounts should be indicated by a minus sign.)

  

  

Calculate the return on equity (ROE) under each of the three economic scenarios. (Round your answers to 2 decimal places. (e.g., 32.16))

  

  

Calculate the percentage changes in ROE when the economy expands or enters a recession.(Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16))

  

  

  

Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued. (Round your answers to 2 decimal places. (e.g., 32.16))

  

  

Calculate the percentage changes in ROE when the economy expands or enters a recession.(Negative amounts should be indicated by a minus sign.)

  

  

Calculate the return on equity (ROE) under each of the three economic scenarios assuming the firm goes through with the recapitalization. (Round your answers to 2 decimal places. (e.g., 32.16))

  

  

Given the recapitalization, calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16))

  

Pendergast, Inc., has no debt outstanding and 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 strong expansion in the economy, then EBIT will be 20 percent higher. If there is a recession, then EBIT will be 30 percent lower. Pendergast is considering a $75,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 6,000 shares outstanding. Ignore taxes for questions a and b. Assume the company has a market-to-book ratio of 1.0.

Explanation / Answer

a1)

ROE : Recession 8.94%    Normal 12.78%    Expansion 15.33%   

a2)

% change in ROE: Recession 12.78- 8.94 = 3.84%    Expansion 12.78 - 15.33 = 2.55%   

the return on equity (ROE) under each of the three economic scenarios:

Interest on debt = 75000 * 7% = $5250

ROE at normal posiion = 23000 - 5250 = 17750 / 105000 = 16.90%

ROE UNDER:

RECESSION = 17750 - 30% = 12425 / 105000 = 11.83%

NORMAL = 17750 / 105000 = 16.90%

EXPANSION = 17750 + 20% = 21300 / 105000 = 20.29%

b2) the percentage changes in ROE when the economy expands or enters a recession:

% change in ROE

Recession 16.90 - 11.83 = 5.07%

Expansion 20.29 - 16.90 = 3.39%

c1)

ROE : Recession 8.94%    Normal 12.78%    Expansion 15.33%   

c2)

% change in ROE: Recession 12.78- 8.94 = 3.84%    Expansion 12.78 - 15.33 = 2.55%   

c3)

ROE UNDER:

RECESSION = 17750 - 30% = 12425 / 105000 = 11.83%

NORMAL = 17750 / 105000 = 16.90%

EXPANSION = 17750 + 20% = 21300 / 105000 = 20.29%

the percentage changes in ROE when the economy expands or enters a recession:

% change in ROE

Recession 16.90 - 11.83 = 5.07%

Expansion 20.29 - 16.90 = 3.39%

b-1

the return on equity (ROE) under each of the three economic scenarios:

Interest on debt = 75000 * 7% = $5250

ROE at normal posiion = 23000 - 5250 = 17750 / 105000 = 16.90%

ROE UNDER:

RECESSION = 17750 - 30% = 12425 / 105000 = 11.83%

NORMAL = 17750 / 105000 = 16.90%

EXPANSION = 17750 + 20% = 21300 / 105000 = 20.29%

b2) the percentage changes in ROE when the economy expands or enters a recession:

% change in ROE

Recession 16.90 - 11.83 = 5.07%

Expansion 20.29 - 16.90 = 3.39%

c1)

ROE : Recession 8.94%    Normal 12.78%    Expansion 15.33%   

c2)

% change in ROE: Recession 12.78- 8.94 = 3.84%    Expansion 12.78 - 15.33 = 2.55%   

c3)

ROE UNDER:

RECESSION = 17750 - 30% = 12425 / 105000 = 11.83%

NORMAL = 17750 / 105000 = 16.90%

EXPANSION = 17750 + 20% = 21300 / 105000 = 20.29%

c4) Given the recapitalization,

the percentage changes in ROE when the economy expands or enters a recession:

% change in ROE

Recession 16.90 - 11.83 = 5.07%

Expansion 20.29 - 16.90 = 3.39%

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