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Beckett, Inc., has no debt outstanding and a total market value of $200,000. Ear

ID: 2740824 • Letter: B

Question

Beckett, Inc., has no debt outstanding and a total market value of $200,000. Earnings before interest and taxes, EBIT, are projected to be $24,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 15 percent higher. If there is a recession, then EBIT will be 30 percent lower. Beckett is considering a $70,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 8,000 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. (Do not round intermediate calculations. Enter your answers as a percent rounded 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. Do not round intermediate calculations. Enter your answers as a percent.)

  

  

Calculate the return on equity (ROE) under each of the three economic scenarios. (Do not round intermediate calculations. Enter your answers as a percent rounded 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. Do not round intermediate calculations and round your final 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. (Do not round intermediate calculations. Enter your answers as a percent rounded 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. Do not round intermediate calculations. Enter your answers as a percent.)

  

  

Calculate the return on equity (ROE) under each of the three economic scenarios assuming the firm goes through with the recapitalization. (Do not round intermediate calculations. Enter your answers as a percent rounded 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. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places (e.g., 32.16).)

  

Beckett, Inc., has no debt outstanding and a total market value of $200,000. Earnings before interest and taxes, EBIT, are projected to be $24,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 15 percent higher. If there is a recession, then EBIT will be 30 percent lower. Beckett is considering a $70,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 8,000 shares outstanding. Ignore taxes for questions a and b. Assume the company has a market-to-book ratio of 1.0.

Explanation / Answer

a -1:

Calculate the Return O Equity (ROE) under each of the three economic scenarios before any debt issued:

Return on equity (ROE) = Net income / Shareholders equity

Details

Working note

ROE (%)

Recession

($24,000 *0.70)/$200,000

8.40

Normal

$24,000/$200,000

12.00

Expansion

($24000*1.15) /200,000

13.80

a-2:

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

Return on equity (ROE) = Net income / Shareholders equity

Net income = $24,000 – ($70,000 *7%)

= $24,000 -$4,900

= $19,100

Shareholders equity = $200,000 -$70,000 = $130,000

Details

ROE

Recession

-3.60

Expansion

1.80

b-1:

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

Details

Working note

ROE

Recession

($19,100 *0.70)/$130,000

10.28

Normal

$19,100/$130,000

14.69

Expansion

($19,100*1.15) /130,000

16.90

b-2:

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

Return on equity (ROE) = Net income / Shareholders equity

Net income = $19,100 * (1-0.35)

= $12,415

Shareholders equity = $200,000 -$70,000 = $130,000

Details

ROE

Recession

-4.41

Expansion

2.21

c-1:

Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued:

Return on equity (ROE) = Net income / Shareholders equity

Net income = $19,100 * (1-0.35)

= $12,415

Shareholders equity = $200,000

Details

Working note

ROE

Recession

($12,415 *0.70)/$200,000

4.35

Normal

$12,415/$200,000

6.21

Expansion

($12,415*1.15) /200,000

7.14

c-2:

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

Details

ROE

Recession

-1.86

Expansion

0.93

c-3:

Calculate the return on equity (ROE) under each of the three economic scenarios assuming the firm goes through with the recapitalization:

Return on equity (ROE) = Net income / Shareholders equity

Net income = $12,415

Shareholders equity = $200,000 -$70,000 = $130,000

Details

Working note

ROE

Recession

($12,415 *0.70)/$130,000

6.69

Normal

$12,415/$130,000

9.55

Expansion

($12,415*1.15) /130,000

10.98

c-4:

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

Details

ROE

Recession

-2.86

Expansion

1.43

Details

Working note

ROE (%)

Recession

($24,000 *0.70)/$200,000

8.40

Normal

$24,000/$200,000

12.00

Expansion

($24000*1.15) /200,000

13.80

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