In: Finance
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)
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%