Question

In: Finance

You are given the following information for Clapton Guitars, Inc.   Profit margin 10 %   Total asset...

You are given the following information for Clapton Guitars, Inc.

  Profit margin 10 %
  Total asset turnover   1.4
  Total debt ratio 0.49
  Payout ratio 36 %

Calculate the sustainable growth rate (in %) (round 4 decimal places)

Solutions

Expert Solution

Answer: We should begin by calculating the D/E ratio. We calculate the D/E ratio as follows:

            Total debt ratio = .49 = TD / TA

            Inverting both sides we get:

            1 / .49 = TA / TD

Next, we need to recognize that

            TA / TD = 1 + TE / TD

            Substituting this into the previous equation, we get:

            1 / .49 = 1 + TE /TD

            Subtract 1 (one) from both sides and inverting again, we get:

          D/E = 1 / [(1 / .49) – 1]

            D/E = 0.9607843

With the D/E ratio, we can calculate the EM and solve for ROE using the DuPont identity:

ROE = (PM)(TAT)(EM)

            ROE = (.10)(1.4)(1 + 0.9607843)

            ROE = .2745 or 27.45%

            Now we can calculate the retention ratio as:

b = 1 – .36

            b = .64

Finally, putting all the numbers we have calculated into the sustainable growth rate equation, we get:            Sustainable growth rate = (ROE × b) / [1 – (ROE × b)]

            Sustainable growth rate = [.2745(.64)] / [1 – .2745 (.64)]

            Sustainable growth rate = .2131 or 21.31%


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