
Explanation:
An entity’s return on equity can be computed using the following formulas:
Where:
return on assets
return on equity
cost of debt
leverage ratio
You may also want to express this in words as:
ROE = (leverage ratio × ROA) − [(leverage ratio − 1) × cost of debt]
ROE = $2 \times \text{VaR} = 2 \times 0.0245 = 0.049 $
Thus,
0.04`9 = L \times 0.025 - (L - 1)0.02 \
0.049 = 0.025L - 0.02L + 0.02 \
0.049 = 0.005L + 0.02 \
L = \frac{0.029}{0.005} = 5.8
L = 1 + \frac{D}{E} \ \frac{D}{E} = 5.8 - 1 = 4.8
Ultimate access to all questions.
Q.3135 A firm has a return on asset of 2.5% and a value at risk of 2.45% at 95% confidence. Its cost of debt is 2%.
What should be its debt equity ratio if its desired return on equity is twice its 95% VaR.
A
2.4
B
3.4
C
5.8
D
4.8
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