Calculate the Operating Leverage, Financial Leverage and Combined Leverage from the
following data under situation I and II and Financial Plan A & B.
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Installed Capacity 4000 units
Actual Production & Sales 75% of the Capacity
Selling Price Rs. 30 per unit
Variable Cost Rs. 15 per unit
Fixed Cost
Under Situation I Rs. 15,000
Under Situation II Rs. 20, 000
Capital Structure
Particulars Financial Plan
A B
Equity 10,000 15,000
Debt (rate of Interest at 20%) 10,000 5,000
20,000 20,000
To calculate operating leverage, financial leverage, and combined leverage, we’ll first need to calculate the relevant values. Let’s define the terms:
- (Q) = Quantity of units produced and sold
- (P) = Selling price per unit
- (V) = Variable cost per unit
- (FC) = Fixed costs
- (EBIT) = Earnings Before Interest and Taxes
- (EBT) = Earnings Before Taxes
Given Data:
- Installed Capacity = 4,000 units
- Actual Production & Sales = 75% of the Capacity ( (Q = 0.75 \times 4,000) units)
- Selling Price ((P)) = Rs. 30 per unit
- Variable Cost ((V)) = Rs. 15 per unit
- Fixed Cost ((FC)) under Situation I = Rs. 15,000
- Fixed Cost ((FC)) under Situation II = Rs. 20,000
- Equity = Rs. 10,000 for Financial Plan A, Rs. 15,000 for Financial Plan B
- Debt = Rs. 10,000 with an interest rate of 20% for Financial Plan A, Rs. 5,000 for Financial Plan B
Now, let’s calculate the values step by step:
Situation I:
- Operating Leverage (OL):
[ OL = \frac{Q(P – V)}{Q(P – V) – FC} ] - Financial Leverage (FL):
[ FL = \frac{EBIT}{EBT} = \frac{Q(P – V) – FC}{Q(P – V) – FC – (Debt \times Interest)} ] - Combined Leverage (CL):
[ CL = OL \times FL ]
Situation II:
Repeat the calculations for Situation II using the given data under Situation II.
Financial Plan A:
- Operating Leverage (OL):
[ OL = \frac{Q(P – V)}{Q(P – V) – FC} ] - Financial Leverage (FL):
[ FL = \frac{EBIT}{EBT} = \frac{Q(P – V) – FC}{Q(P – V) – FC – (Debt \times Interest)} ] - Combined Leverage (CL):
[ CL = OL \times FL ]
Financial Plan B:
Repeat the calculations for Financial Plan B using the given data under Financial Plan B.
Now, plug in the values into the formulas and calculate the leverages for each scenario and financial plan.