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Imagine a corporation with $1,000,000 of assets and a debt ratio of 40%. ROE (return on equity) is expected to be 20% for the foreseeable

Imagine a corporation with $1,000,000 of assets and a debt ratio of 40%. ROE (return on equity) is expected to be 20% for the foreseeable future. Assuming the firm maintains the same amount of debt indefinitely (as opposed to keeping the same debt ratio), respond to the following questions. (12 marks)

a. If the firm doesnt pay out any dividends or re-purchase any shares, what do you expect the firms earnings to be for the next three years?

Complete the table to show your calculations.

Year

Beginning balance, equity

Net income

Return on equity = net income /opening equity

Dividends and/or repurchases

Ending balance, equity

1

600,000

120,000

20%

0

720,000

2

720,000

144,000

20%

0

864,000

3

864,000

172,800

20%

0

1,036,800

b. If the firm doesnt pay any dividends or re-purchase any shares, at what rate would the firm grow from year to year?

Complete the table.

Year

Beginning balance, equity

Net income

Return on equity = net income /opening equity

Dividends and/or repurchases

Ending balance, equity

Growth rate

1

600,000

120000

20%

0

720,000

%

2

720,000

144000

20%

0

864,000

%

3

864,000

172800

20%

0

1036800

%

c. If the firm pays 50% of its earnings as dividends, at what rate would the firm grow from year to year?

Complete the table.

Year

Beginning balance, equity

Net income

Return on equity = net income /opening equity

Dividends

Ending balance, equity

Growth rate

1

%

%

2

%

%

3

%

%

d. If the firm uses 80% of its earnings to re-purchase shares from its shareholders, at what rate would the firm grow from year to year?

Complete the table.

Year

Beginning balance, equity

Net income

Return on equity = net income /opening equity

Repurchases

Ending balance, equity

Growth rate

1

%

%

2

%

%

3

%

%

e. If the firm pays 50% of its earnings as dividends and uses an additional 20% of its earnings to repurchase shares from its shareholders, at what rate would the firm grow from year to year?

Complete the table.

Year

Beginning balance, equity

Net income

Return on equity = net income /opening equity

Dividends

Repur-chases

Ending balance, equity

Growth rate

1

%

%

2

%

%

3

%

%

f. If you have done the calculations correctly in the tables above, you should have the same growth rate every year. How long could the company grow at this constant rate if all the given factors remained the same?

Need some help filling out the blanks. Thanks so much!

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