To determine the required return to justify the operating income, we can use the following steps:
-
Calculate the operating income (EBIT):
[
text{EBIT} = text{Revenue} times text{Profit Margin} = 94.19 times 0.102 approx 9.603
] - Determine the cost of capital:
- The capital armated ratio is 15%.
- The cost of capital is calculated as:
[
text{Cost of Capital} = text{EBIT} times text{Cost of Capital Factor} – text{Interest}
] - Compute the operating income after interest:
[
text{Operating Income} = text{EBIT} – text{Interest} = 9.603 – 3.2 = 6.403
] - Compute the required return:
[
text{Required Return} = frac{6.403}{0.15} approx 42.69%
]
Thus, the required return to justify the current operating income is approximately boxed{42.7%}.