Gilmore, Inc., had equity of $135,000 at the beginning of the year. At the end of the year, the company had total assets of $290,000. During the year, the company sold no new equity. Net income for the year was $29,000 and dividends were $3,400. a. What is the sustainable growth rate for the company

A. 18.96%

B. 18.96%

C. 15.94%

Explanation:

A. Calculation to determine the sustainable growth rate for the company

First step is to calculate the Ending equity

Ending equity = 135,000 + 29,000 -3,400

Ending equity=$160,600.

Second step is to calculate the return on equity

Return on equity =29,000/160,600

Return on equity=0.18057285

Third step is to calculate the retention ratio

Retention ratio =(Net income- dividends) / Net income

Retention ratio= (29,000-3400) / 29,000

Retention ratio=25,600 /29,000

Retention ratio=0.88275862.

Now let calculate the Sustainable growth rate using this formula

Sustainable growth rate = (Return on equity *Retention ratio) / [1-(Return on equity*retention ratio)]

Let plug in the formula

Sustainable growth rate=(0.18057285*0.88275862)/ [1-(0.18057285*0.88275862)]

Sustainable growth rate=0.15940224/ [1-0.15940224]

Sustainable growth rate=0.1896*100

Sustainable growth rate=18.96%.

b. Calculation to determine the sustainable growth rate if you use the formula ROE band beginning of period equity

First step is to calculate the return on equity using beginning of the period equity

Return on equity using beginning of the period equity=$29,000 /135,000

Return on equity using beginning of the period equity=0.21481481.

Now let calculate the sustainable growth rate if you use the formula ROE band beginning of period equity

roe * b = 0.21481481*0.88275862

ROE band=0.1896*100

ROE band=18.96%.

c.return on equity using ending of period equity = 29,000/160,600

=>0.18057285

roe*b=>0.18057285*0.88275862

=>0.1594

=>15.94%.

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