You are given the following information on Kaleb's Heavy Equipment: |
Profit margin | 5.1 | % | ||
Capital intensity ratio | .60 | |||
Debt-equity ratio | .6 | |||
Net income | $ | 50,000 | ||
Dividends | $ | 13,200 | ||
Calculate the sustainable growth rate. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
Substantial growth rate = 11.12%
Explanation:
Step 1) Computation of plowback ratio
Dividends = $13,200
Net Income = $50,000
Plowback ratio (b) = 1 - (Dividend / Net Income)
Plowback ratio (b) = 1 - ($13,200 / $50,000)
Plowback ratio (b) = 0.736
.
Step 2: Computation of Return on Equity.
Profit Margin = 5.10%
Capital Intensity ratio = 0.60
Debt equity ratio = 0.6
Asset turnover ratio = 1 / capital intensity ratio = 1 / 0.60 = 1.666667
Equity multiplier = 1 + Debt equity ratio = 1 + 0.6 = 1.60
Return on Equity = Profit Margin * Total Assets Turnover * Equity multiplier
Return on Equity = 0.0510 * 1.666667 * 1.60 = 0.136 or 13.60%
Return on Equity = 13.60%.
.
Computation of substantial growth rate.
Substantial growth rate = (ROE * b) / [1 - (ROE * b)]
Substantial growth rate = (0.136 * 0.736) / [1 - (0.136 * 0.736)]
Substantial growth rate = 0.100096 / [1 - 0.100096] = 0.100096 / 0.899904
Substantial growth rate = 0.1112 or
Substantial growth rate = 11.12%
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