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ch4aika [34]
3 years ago
13

Jack corp. Has a profit margin of 5.1 percent, total asset turnover of 2.3, and roe of 19.64 percent. What is this firm's debt-e

quity ratio? (do not round intermediate calculations and round your answer to 2 decimal places,
e.G., 32.16.)
Business
1 answer:
anygoal [31]3 years ago
3 0

Answer: Jack Corp's D/E ratio is 0.67.

We follow these steps to arrive at the answer:

We begin with the DuPont Identity for Return on Equity (RoE)

RoE = Net Profit Margin * Asset turnover Ratio * Equity Multiplier

Substituting the values from the question in the DuPont identity we get,

0.1964 = 0.051 * 2.3 * Equity Multiplier

Equity Multiplier = \frac{0.1964}{0.051*2.3}

Equity Multiplier = 1.674339301


Equity Multiplier = \frac{Total Assets }{Equity}

So,

\frac{1}{Equity multiplier} =\frac{Equity}{Total Assets}

Substituting the value of equity multiplier in the formula above we get,

\frac{Equity}{Total Assets} = 0.597250509

Now,

\frac{Equity}{Total Assets} + \frac{Debt}{Total Assets} =1

So,

\frac{Debt }{Total Assets} = 1 - \frac{Equity}{Total Assets}

\frac{Debt }{Total Assets} = 1 - 0.597250509


\frac{Debt }{Total Assets} = 0.402749491


Now that we have the proportions of debt and equity to total assets, we can  find the Debt Equity (D/E) ratio as follows:

\frac{D}{E} = \frac{\frac{Debt}{Total Assets}}{\frac{Equity}{Total Assets}}

Substituting the values we get,

\frac{D}{E} = \frac{0.402749491
}{0.597250509
}

\frac{D}{E} = 0.674339301


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