True or false. Other things held constant an increase in financial leverage will increase a firms msrket risk as measured by its beta coefficient
The correct answer and explanation is:
Correct Answer: True
Explanation:
Financial leverage refers to the use of debt financing in a company’s capital structure. A firm with higher financial leverage relies more on debt compared to equity to finance its operations. This can lead to higher returns on equity when times are good but also increased risk when times are bad. One of the most important concepts to understand here is how financial leverage affects a firm’s market risk, as measured by its beta coefficient.
Beta Coefficient and Market Risk:
The beta coefficient (β) measures the sensitivity of a firm’s returns relative to the returns of the overall market:
- A beta of 1 means the firm moves with the market.
- A beta > 1 means the firm is more volatile than the market.
- A beta < 1 means it is less volatile.
Impact of Leverage on Beta:
When a firm increases its financial leverage (takes on more debt), the fixed interest expenses increase. This means that for a given change in revenue or operating income, the net income (and return on equity) will fluctuate more dramatically. These larger swings in returns make the firm appear riskier to investors, which increases the equity beta.
The relationship between unlevered beta (β_asset) and levered beta (β_equity) is expressed by the formula: βequity=βasset×(1+DE×(1−T))\beta_{equity} = \beta_{asset} \times \left(1 + \frac{D}{E} \times (1 – T)\right)
Where:
- D/ED/E = debt-to-equity ratio
- TT = corporate tax rate
As you can see, increasing DD (debt) raises the levered beta, increasing market risk.
Conclusion:
True — Other things held constant, an increase in financial leverage increases a firm’s market risk as measured by its beta coefficient, because it amplifies the variability of equity returns in response to market movements.