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Leverage ratio: Your firm has an equity multiplier of 2.47. What is its debt-to-equity ratio?

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Final answer:

An equity multiplier of 2.47 implies a debt-to-equity ratio of 1.47, meaning the company has £1.47 of debt for every £1 of equity.

Step-by-step explanation:

The equity multiplier is a measure of a company's financial leverage, calculated by dividing total assets by shareholders' equity. Given an equity multiplier of 2.47, the debt-to-equity ratio can be calculated as follows:

Equity Multiplier = Total Assets / Shareholders' Equity
Debt-to-Equity Ratio = (Total Assets - Shareholders' Equity) / Shareholders' Equity

Since the equity multiplier is 2.47, we can set up the equation as:
2.47 = Total Assets / Shareholders' Equity

To find the debt-to-equity ratio, we rearrange the equation to solve for Total Assets:
Total Assets = 2.47 × Shareholders' Equity

Now, to find the debt-to-equity ratio, we subtract Shareholders' Equity from both sides:
(Total Assets - Shareholders' Equity) = 2.47 × Shareholders' Equity - Shareholders' Equity

This simplifies to:

Debt = 1.47 × Shareholders' Equity

Therefore, the debt-to-equity ratio is 1.47 (or 147% if expressed as a percentage), which indicates the company has £1.47 of debt for every £1 of equity.

answered
User Savad KP
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