Another bank is also offering favorable terms, so Raphael decides to take a loan of $15,000 from this bank. He signs the loan co
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Answer: The dividend payout ratio is 46.19%.
We follow these steps in order to arrive at the answer:
We begin with the DuPont identity of RoE.
<u>DuPont Identity:</u>
Now,
And Debt Ratio is also expressed as:
where D/E represents the Debt-Equity Ratio.
Substituting the value of D/E ratio from the question in the debt ratio formula above we get,
----(1)
Substituting (1) in the equity multiplier formula above we get,
Substituting Equity Multiplier from above and the relevant numbers from the question in the DuPont identity we get,
The relationship between RoE and earnings growth rate g is given by the following formula:
, where p is the dividend payout ratio.
Plugging in the values in the formula above we get,
p = 0.461988304 or 46.19%