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You are given the following information on Kaleb's Welding Supply: Profit margin 6.9 % Capital intensity ratio .78 Debt–equity ratio .9 Net income $ 86,000 Dividends $ 16,800 Calculate the sustainable growth rate. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Sustainable growth rate % This

Respuesta :

Answer:

0.1563946140 or 15.64%

Explanation:

The computation of the sustainable growth rate is shown below:

But before that we need to do the following calculations

As we know that

Profit margin = net income ÷ Sales

So,

0.069 = $86,000 ÷ Sales

Sales = $1,246,376.81159

Now

Capital intensity ratio = Total assets ÷ Sales

Total assets is

= $1,246,376.81159 × 0.78

= $972,173.91304

And,

Debt - Equity ratio = Debt ÷ Equity = 0.9

Now, if debt is 0.9, and equity is 1, Thereforetotal assets is 1.9 (0.9 + 1).

So,

Equity = Total assets x 1 ÷ 1.9

= $972,173.91304 ÷ 1.9

= $511,670.480547

And,  

Return on Equity (ROE) = Net income ÷ Equity

= $86,000 ÷ $511,670.480547

= 0.16807692307 or 16.807692307%

And,

Dividend payout ratio = Dividend ÷ net income

= $16,800 ÷ $86,000

= 0.1953488372

Now  

Retention ratio (b) = 1 - dividend payout

= 1 - 0.1953488372

= 0.8046511628

So,  

Sustainable growth rate (SGR) = (ROE x b) ÷ [ 1 - (ROE × b) ]

= (0.16807692307% × 0.8046511628) ÷ [ 1 - (0.16807692307% × 0.8046511628) ]

= 0.1563946140 or 15.64%

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