Final answer:
The debt-equity ratio of Mobius, Incorporated is 0.44.
Step-by-step explanation:
To find the debt-equity ratio, we need to first calculate the equity of Mobius, Incorporated. The equity is the total assets minus the total liabilities. From the provided information, the total assets are reserves ($30), bonds ($50), and loans ($50), which add up to $130. The total liabilities are deposits ($300), and the equity is $30. Hence, the equity is $130 - $300 = -$170.
Since the debt-equity ratio is calculated by dividing the total debt by the equity, we have a denominator of -$170. However, ratios cannot be negative, so we need to take the absolute value. The total debt ratio is given as 0.57, which is the debt divided by the total assets. Rearranging the formula, we can find the total debt: debt = total assets * total debt ratio. Therefore, the debt is $130 * 0.57 = $74.10.
Now, we can calculate the debt-equity ratio: debt-equity ratio = debt/equity. Plugging in the values, we get $74.10 / $170 = 0.44 (rounded to two decimal places).