### CFA Practice Question

Orion Manufacturing has a retention ratio of 70%. Its net margin is 7.8% of sales with an asset turnover of 1.2. Orion is fairly conservative in its capital structure with debt representing only 20% of equity. What is the projected growth rate for Orion's earnings and dividends?
A. 5.46%
B. 6.55%
C. 7.86%
Explanation: This is solved in two steps. First we calculate the ROE and then the growth rate.
We use the DuPont formula to project the ROE. Asset to equity ratio can be deduced from debt to equity ratio. Since debt-equity is 0.2:1, total capital is 1.2 for every unit of equity. Thus Assets/Equity = 1.2, because total assets equal total capital on the balance sheet.
ROE = 0.078 x 1.2 x 1.2 = 0.1123, or 11.23%
Growth rate = Retention ratio x ROE = 0.70 x 11.23 = 7.86%

User Comment
dimos I still believe that Assets/Equity = 1/1.2 = 0.8333!!!! I mean I dont understand why total capital/equity is 1.2!!! CAN ANYONE HELP?
Carol1 do u believe assest can be less than equity, if it is 1/1.2?
chenchow Asset = Equity + Debt
jayjunk The net margin of 7.8% is after interest paid, so entire 7.8% goes to equity.
dimanyc D/E=(TA-E)/E=TA/E-1=0.20 Therefore, TA/E=1.20
steved333 if debt is 1 part, which is 20% of equity, equity must be 5 parts. 1+5=6. If Assets=6 and Equity=5, then A/E=6/5, or 1.2. Multiply by 1.2 and 7.8 times retention, and you get 7.86240.
Dinosaur dupont
djread quick conversion of D/E ratio into debt/total capital ratio = [(D/E)/1+(D/E)]
jpducros learn steved333 method, you may save a lot of time.

djread, your formula works but what you need here is not D/A but A/Eq
tommyguard3 very simply, debt + equity = assets. Therefore if debt/equity = 0.2/1, then debt = 0.2 and equity = 1. assets = 0.2+1 = 1.2.

assets/Equity = 1.2/1 = 1.2
seon Debt/Equity = 0,2 -> Equity = 5 x Debt

Total Assets = Debt + Equity = 1 x Debt + 5x Debt

-> can be divided in 6/6. 5/6 is equity and 1/6 is debt.

Total Assets = 1:(5/6) = 1,2