The question provides the Degree of Operating Leverage (DOL) and the Degree of Financial Leverage (DFL) for a firm and asks for the resulting percentage change in Earnings Before Tax (EBT) given a percentage change in sales.
The Degree of Total Leverage (DTL) combines the effects of both operating and financial leverage. It is calculated by multiplying DOL and DFL.
$ \text{DTL} = \text{DOL} \times \text{DFL} $
Given:
Therefore:
$ \text{DTL} = 3 \times 2 = 6 $
The DTL measures the sensitivity of EBT to changes in sales. The formula relating DTL to percentage changes is:
$ \text{DTL} = \frac{\% \text{ Change in EBT}}{\% \text{ Change in Sales}} $
We are given:
Rearranging the formula to solve for the percentage change in EBT:
$ \% \text{ Change in EBT} = \text{DTL} \times \% \text{ Change in Sales} $
Substituting the values:
$ \% \text{ Change in EBT} = 6 \times 6\% $
$ \% \text{ Change in EBT} = 36\% $
Thus, if sales increase by 6%, earnings before tax will rise by 36%.
Match the items of List - I with those of List - II and indicate the correct code :
| List - I | List - II |
| (a) Net Income Approach | (i) Working Capital Management |
| (b) Profitability Index | (ii) Over-capitalisation |
| (c) Concentration Banking | (iii) Capital Structure Planning |
| (d) Lower Rate of Return | (iv) Capital Budgeting Decision |