## Leverages: Introduction and Core Concepts
### Why Study Leverage?
The objective of financial management is to maximise firm value (wealth). Value depends on:
- Company performance → directly related to value.
- Investor expectations → inversely related (higher expected risk → lower value).
- Risk → the link between performance and expectations.
### Meaning of Leverage
Leverage represents the influence or power of one financial variable over another related variable. Mathematically:
```
Leverage = % Change in Output Variable / % Change in Input Variable
```
The financial variables involved can be: Costs, Output, Sales/Revenue, EBIT, EPS.
### The Three Types of Leverage
| Leverage Type | Relationship Captured | Risk Measured |
|---|---|---|
| Operating Leverage (OL) | Sales ↔ EBIT | Business Risk |
| Financial Leverage (FL) | EBIT ↔ EPS | Financial Risk |
| Combined Leverage (CL) | Sales ↔ EPS | Total Risk |
### Business Risk vs Financial Risk
| Basis | Business Risk | Financial Risk |
|---|---|---|
| Meaning | Risk of not covering operating costs | Risk to equity holders from fixed-cost funds |
| Cause | Uncertainty in EBIT | Fixed interest + preference dividend obligations |
| Factors | Demand variability, price changes, input costs | Proportion of debt + preference capital |
| Measured by | Degree of Operating Leverage (DOL) | Degree of Financial Leverage (DFL) |
| Impact on | EBIT | EPS |
### Operating Risk vs Financial Risk
| Basis | Operating Risk | Financial Risk |
|---|---|---|
| Meaning | Risk of not covering fixed operating costs | Risk of not meeting fixed financial charges |
| Cause | Fixed operating costs (rent, salaries, depreciation) | Fixed financial costs (interest, pref. dividend) |
| Impact | Variability in EBIT | Variability in EPS |
| Higher level means | EBIT is highly sensitive to sales changes | EPS is highly sensitive to EBIT changes |