Answer :
Answer:
To determine the operating, financial, and combined leverages, we need to first calculate various components using the given information.
1. **Operating Leverage (OL)**:
Operating Leverage measures the impact of fixed operating costs on operating income.
Formula: OL = Contribution Margin / Operating Income
Contribution Margin = Sales - Variable Operating Costs
Operating Income = EBIT - Interest
Given:
Sales = Rs. 10,00,000
Variable Operating Costs (excluding depreciation) = Rs. 60,000
EBIT = Rs. 2,20,000
Interest = Rs. 60,000
Calculating:
Contribution Margin = Sales - Variable Operating Costs = Rs. 10,00,000 - Rs. 60,000 = Rs. 9,40,000
Operating Income = EBIT - Interest = Rs. 2,20,000 - Rs. 60,000 = Rs. 1,60,000
OL = (9,40,000 / 1,60,000) = 5.875
2. **Financial Leverage (FL)**:
Financial Leverage measures the impact of fixed financial costs on earnings before tax (EBT).
Formula: FL = EBIT / EBT
Given:
EBIT = Rs. 2,20,000
EBT = Rs. 1,60,000
Calculating:
FL = (2,20,000 / 1,60,000) = 1.375
3. **Combined Leverage (CL)**:
Combined Leverage measures the overall impact of fixed costs on earnings after tax (EAT).
Formula: CL = OL × FL
Calculating:
CL = 5.875 × 1.375 = 8.078
Now, let's calculate the new earnings per share (EPS) after the changes in sales.
Given:
Total assets remain constant.
Sales increase by 20% and decrease by 20%.
Total assets = Rs. 19,00,000
New Sales:
(i) Increase by 20%: Rs. 10,00,000 * 1.20 = Rs. 12,00,000
(ii) Decrease by 20%: Rs. 10,00,000 * 0.80 = Rs. 8,00,000
New EBIT for both scenarios will change by the same percentage as sales since other factors remain constant.
New EBIT:
(i) Increase by 20%: Rs. 2,20,000 * 1.20 = Rs. 2,64,000
(ii) Decrease by 20%: Rs. 2,20,000 * 0.80 = Rs. 1,76,000
New Earnings per Share (EPS):
EPS = (EAT - Preference Dividend) / Number of Equity Shares
Given:
EAT = Rs. 1,04,000
Preference Dividend = 0 (no preference dividend mentioned)
Number of Equity Shares = Equity capital (Rs. 10) / EPS
Number of Equity Shares = Rs. 8,00,000 / 10 = 80,000 shares
Now, we can calculate EPS for both scenarios:
(i) Increase by 20%:
EPS = (EAT / Number of Equity Shares) = (1,04,000 / 80,000) = Rs. 1.30 per share
(ii) Decrease by 20%:
EPS = (EAT / Number of Equity Shares) = (56,000 / 80,000) = Rs. 0.70 per share