Answer:
.15343
Step-by-step explanation:
Calculation to determine the sustainable growth rate
First step is to calculate the Asset turnover ratio using this formula
Asset turnover ratio = (1 /CIR)
Let plug in the formula
Asset turnover ratio= (1 /.75)
Asset turnover ratio= 1.33
Second step is to calculate the Equity Multiplier using this formula
Equity Multiplier = (1+Debt equity ratio)
Let plug in the formula
Equity Multiplier=1+.9
Equity Multiplier= 1.9
Third step is to calculate Return on Equity ROE using this formula
Return on Equity ROE = (PM * AT * EM)
Let plug in the formula
Return on Equity ROE= (.066 * 1.33 * 1.9)
Return on Equity ROE= 0.166782
Fourth step is to calculate Payout Ratio
Payout Ratio=(16200/80,000)
Payout Ratio = 20.25%
Fifth step is to calculate Plowback Ratio using this formula
Plowback Ratio= ( 1 – payout)
Let plug in the formula
Plowback Ratio =1-20.25%
Plowback Ratio= 79.75%
Sixth step is to calculate Return on Equity ROE
Return on Equity ROE=(net Income/Equity)
Return on Equity ROE = 16.68%
Now let calculate the sustainable Growth Rate using this formula
Sustainable Growth Rate = (ROE * plowback) / (1 – ROE * Plowback)
Let plug in the formula
Sustainable Growth Rate= (.133023)/(.866977)
Sustainable Growth Rate= .15343
Therefore Sustainable Growth Rate is .15343