Answer:
The correct answer is 10.72% ( Approx.).
Explanation:
According to the scenario, the given data are as follows:
Debt ratio = 46.5%
Capital intensity ratio = 2.51 times
Profit margins = 21%
Dividend payout = 38%
Formula to calculate sustainable growth rate ae as follows:
Sustainable growth rate = (Earnings retention rate × Return on equity ) / ( 1 - (ROE × RR)
where, Retention rate =(1 - dividend payout rate)
= (1-0.38) = 0.62
ROE = Profit margin × Total asset turonver × Equity multipler
= Profit margin × 1/capital intensity ratio × 1/(1-debt ratio)
= .21 × (1/2.51) × 1/(1-.465)
= .21 × 0.398 × 1.869
= 0.1562
=15.62%
So, Sustainable growth rate = (0.1562*0.62) / 1 - (0.1562*0.62)
= 0.096844 / 0.903156
= 0.1072
= 10.72% (approx.)
Hence, the correct answer is 10.72% (approx.).
