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Volume-II
Leverages
CA. Dr. Prithvi Ranjan Parhi
5:11 PM © CA. Dr. Prithvi Ranjan Parhi 1
“…Give me a place to stand, and I will move the earth.”
- Archimedes (287-212 BC)
2
Risk
Risk in any business arises on a/c of fixed cost represented
by degree of operating leverage & interest on loans
borrowed, represented by degree of financial leverage
Risk
Fixed Cost
( Operating)
Interest
Combined
Fixed Cost
Degree of
Operating Leverage
Degree of
Financial Leverage
Degree of
Combined Leverage
Contribution
PBIT
PBIT
PBT
Contribution
PBT
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
3
Leverage Structure
Sales XXX
Less: Variable Cost (XXX)
Contribution XXX
Less : Operating Fixed Cost (XXX)
PBIT XXX
Less : Interest (XXX)
PBT XXX
Less : Tax (XXX)
PAT XXX
EPS (= PAT/ No of Equity Shares) XXX
OL
FL
© CA. Dr. Prithvi Ranjan Parhi
CL
5:11 PM
4
Q1
Sales 10,000 units.
Sale price Rs.20 p.u.
Variable Cost = Rs.12/- p.u.
Fixed Cost = Rs,20,000/-
Interest Rs.10,000/-
Rate of Tax 30%
Prepare income statement & Compute 3
leverages
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
5
A-1
Particulars (Rs)
Sales (10,000 *20) 2,00,000
Less : VC (10,000 * 12) (1,20,000)
Contribution 80,000
Less: FC (20,000)
PBIT 60,000
Less: Interest (10,000)
PBT 50,000
Tax (30%) (15,000)
PAT 35,000
Degree of OL = Cont/ PBIT = 80,000/60,000 = 1.33 Times
Degree of FL = PBIT/ PBT = 60,000/50,000 = 1.2 Times
Degree of TL = Cont/ PBT = 80,000/50,000 = 1.60 Times
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
6
Q-2
• In the previous question if the total asset
of the company is Rs.35,00,000,
represented by 3,500 shares of 1,000
each, what is the EPS ?
• What will be the EPS if Sales volume,
a) increases by 10%
b) decreases by 10% ?
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
7
A-2
1.6 %
1.33 %
1.6 %
Particulars Present
(Rs.)
Sales 10%
more (Rs.)
Sales 10% less
(Rs.)
Sales 2,00,000 2,20,000 1,80,000
Less : VC (1,20,000) (1,32,000) (1,08,000)
Contribution 80,000 88,000 72,000
Less: FC (20,000) (20,000) (20,000)
PBIT 60,000 68,000 52,000
Less: Interest (10,000) (10,000) (10,000)
PBT 50,000 58,000 42,000
Tax (30%) (15,000) (17,400) (12,600)
PAT 35,000 40,600 29,400
No. of Sh 3,500 3,500 3,500
EPS 10 11.6 8.4
13.33 %
10 %
Degree of OL = Cont/ PBIT = 1.33 Times
Degree of FL = PBIT/ PBT = 1.2 Times
Degree of TL = Cont/ PBT = 1.60 Times
Note : Leverages are not static, in so far as they change with every change
in income statement
16 %
16 %
© CA. Dr. Prithvi Ranjan Parhi5:11 PM
8
Leverage : Effects
• Use of special forces and effects to magnify
or produce more than the normal results
from a given course of action.
– Can produce beneficial results in favorable
conditions.
– Can produce highly negative results in
unfavorable conditions.
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
9
“POSITIVE” & “NEGATIVE” LEVERAGE
Leverage
Positive leverage Negative leverage
When more debt
will increase the
equity investor’s
(borrower’s) return.
When more debt
will decrease the
equity investor’s
(borrower’s) return.
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
Difference between OL & FLSl. Operating Leverage Financial Leverage
1 Operating leverage is associated with
investment activities of the company.
Financial leverage is associated with
financing activities of the company.
2 Operating leverage consists of fixed operating
expenses of the company.
Financial leverage consists of Fixed
Financial Expenses of the company.
3 It represents the ability to use fixed operating
cost.
It represents the ability to use fixed
financial cost.
4 Operating leverage can be calculated by=
Contribution/EBIT
Financial leverage can be calculated by=
EBIT/EBT
5 A percentage change in the profits resulting
from a percentage change in the sales is called
as degree of operating leverage.
A percentage change in taxable profit is the
result of percentage change in EBIT.
6 Trading on equity is not possible by using
operating leverage
Trading on equity is possible only when the
company uses financial leverage.
7 Operating leverage depends upon fixed cost
and variable cost.
Financial leverage depends upon the
operating profits & fixed financial costs.
8 Tax rate and interest rate will not affect the
operating leverage.
Financial leverage will change due to tax
rate and interest rate.
5:11 PM
© CA. Dr. Prithvi Ranjan Parhi
10
Trading on Equity
• It is a financial process that involves taking more
debt to boost the return of the shareholders.
• Trading on Equity occurs when a company takes
new debt, in the form of bonds, preferred stock, or
loans etc.
• So, the company basically takes advantage of
the equity to borrow funds on reasonable terms.
5:11 PM
© CA. Dr. Prithvi Ranjan Parhi 11
12
Summary
• Leverage is using fixed costs to magnify the
potential return to a firm
• 2 types of fixed costs:
– fixed operating costs = rent, depreciation
– fixed financial costs = costs from debt, preference
dividend etc.
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
13
Leverage Means Risk
• Leverage is a double-edged sword.
• It magnifies profits as well as losses.
• An aggressive or highly leveraged firm has high
fixed costs (and a relatively high break-even point)
• A conservative or non-leveraged firm has low fixed
costs (and a relatively low break-even point)
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
14
Break-Even (BE) Point
• Quantity where Total Revenue equals Total Cost
• Company has no Profit or Loss
• BE = Fixed Costs / (Price – Variable Costs)
• A leveraged firm has a high BE point
• A non-leveraged firm has a low BE point
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
15
Break-even chart: Leveraged firm
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
16
Break-even chart: Un-leveraged firm
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
17
• Higher operating leverage leads to more
business risk, because a small sales decline
causes a larger EBIT decline.
Sales
$ Rev.
TC
F
QBE Sales
$ Rev.
TC
F
QBE
EBIT}
Leverage ~ Risk
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM
18
Thank you
CA. Dr. Prithvi Ranjan Parhi
Mail: prithvi.baps@gmail.com
WhatsApp :876 3434 746
Cell: 700 8246 670
© CA. Dr. Prithvi Ranjan Parhi
5:11 PM

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Leverages _Vol-II_CA. Dr. Prithvi Ranjan Parhi

  • 1. Volume-II Leverages CA. Dr. Prithvi Ranjan Parhi 5:11 PM © CA. Dr. Prithvi Ranjan Parhi 1 “…Give me a place to stand, and I will move the earth.” - Archimedes (287-212 BC)
  • 2. 2 Risk Risk in any business arises on a/c of fixed cost represented by degree of operating leverage & interest on loans borrowed, represented by degree of financial leverage Risk Fixed Cost ( Operating) Interest Combined Fixed Cost Degree of Operating Leverage Degree of Financial Leverage Degree of Combined Leverage Contribution PBIT PBIT PBT Contribution PBT © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 3. 3 Leverage Structure Sales XXX Less: Variable Cost (XXX) Contribution XXX Less : Operating Fixed Cost (XXX) PBIT XXX Less : Interest (XXX) PBT XXX Less : Tax (XXX) PAT XXX EPS (= PAT/ No of Equity Shares) XXX OL FL © CA. Dr. Prithvi Ranjan Parhi CL 5:11 PM
  • 4. 4 Q1 Sales 10,000 units. Sale price Rs.20 p.u. Variable Cost = Rs.12/- p.u. Fixed Cost = Rs,20,000/- Interest Rs.10,000/- Rate of Tax 30% Prepare income statement & Compute 3 leverages © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 5. 5 A-1 Particulars (Rs) Sales (10,000 *20) 2,00,000 Less : VC (10,000 * 12) (1,20,000) Contribution 80,000 Less: FC (20,000) PBIT 60,000 Less: Interest (10,000) PBT 50,000 Tax (30%) (15,000) PAT 35,000 Degree of OL = Cont/ PBIT = 80,000/60,000 = 1.33 Times Degree of FL = PBIT/ PBT = 60,000/50,000 = 1.2 Times Degree of TL = Cont/ PBT = 80,000/50,000 = 1.60 Times © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 6. 6 Q-2 • In the previous question if the total asset of the company is Rs.35,00,000, represented by 3,500 shares of 1,000 each, what is the EPS ? • What will be the EPS if Sales volume, a) increases by 10% b) decreases by 10% ? © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 7. 7 A-2 1.6 % 1.33 % 1.6 % Particulars Present (Rs.) Sales 10% more (Rs.) Sales 10% less (Rs.) Sales 2,00,000 2,20,000 1,80,000 Less : VC (1,20,000) (1,32,000) (1,08,000) Contribution 80,000 88,000 72,000 Less: FC (20,000) (20,000) (20,000) PBIT 60,000 68,000 52,000 Less: Interest (10,000) (10,000) (10,000) PBT 50,000 58,000 42,000 Tax (30%) (15,000) (17,400) (12,600) PAT 35,000 40,600 29,400 No. of Sh 3,500 3,500 3,500 EPS 10 11.6 8.4 13.33 % 10 % Degree of OL = Cont/ PBIT = 1.33 Times Degree of FL = PBIT/ PBT = 1.2 Times Degree of TL = Cont/ PBT = 1.60 Times Note : Leverages are not static, in so far as they change with every change in income statement 16 % 16 % © CA. Dr. Prithvi Ranjan Parhi5:11 PM
  • 8. 8 Leverage : Effects • Use of special forces and effects to magnify or produce more than the normal results from a given course of action. – Can produce beneficial results in favorable conditions. – Can produce highly negative results in unfavorable conditions. © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 9. 9 “POSITIVE” & “NEGATIVE” LEVERAGE Leverage Positive leverage Negative leverage When more debt will increase the equity investor’s (borrower’s) return. When more debt will decrease the equity investor’s (borrower’s) return. © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 10. Difference between OL & FLSl. Operating Leverage Financial Leverage 1 Operating leverage is associated with investment activities of the company. Financial leverage is associated with financing activities of the company. 2 Operating leverage consists of fixed operating expenses of the company. Financial leverage consists of Fixed Financial Expenses of the company. 3 It represents the ability to use fixed operating cost. It represents the ability to use fixed financial cost. 4 Operating leverage can be calculated by= Contribution/EBIT Financial leverage can be calculated by= EBIT/EBT 5 A percentage change in the profits resulting from a percentage change in the sales is called as degree of operating leverage. A percentage change in taxable profit is the result of percentage change in EBIT. 6 Trading on equity is not possible by using operating leverage Trading on equity is possible only when the company uses financial leverage. 7 Operating leverage depends upon fixed cost and variable cost. Financial leverage depends upon the operating profits & fixed financial costs. 8 Tax rate and interest rate will not affect the operating leverage. Financial leverage will change due to tax rate and interest rate. 5:11 PM © CA. Dr. Prithvi Ranjan Parhi 10
  • 11. Trading on Equity • It is a financial process that involves taking more debt to boost the return of the shareholders. • Trading on Equity occurs when a company takes new debt, in the form of bonds, preferred stock, or loans etc. • So, the company basically takes advantage of the equity to borrow funds on reasonable terms. 5:11 PM © CA. Dr. Prithvi Ranjan Parhi 11
  • 12. 12 Summary • Leverage is using fixed costs to magnify the potential return to a firm • 2 types of fixed costs: – fixed operating costs = rent, depreciation – fixed financial costs = costs from debt, preference dividend etc. © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 13. 13 Leverage Means Risk • Leverage is a double-edged sword. • It magnifies profits as well as losses. • An aggressive or highly leveraged firm has high fixed costs (and a relatively high break-even point) • A conservative or non-leveraged firm has low fixed costs (and a relatively low break-even point) © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 14. 14 Break-Even (BE) Point • Quantity where Total Revenue equals Total Cost • Company has no Profit or Loss • BE = Fixed Costs / (Price – Variable Costs) • A leveraged firm has a high BE point • A non-leveraged firm has a low BE point © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 15. 15 Break-even chart: Leveraged firm © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 16. 16 Break-even chart: Un-leveraged firm © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 17. 17 • Higher operating leverage leads to more business risk, because a small sales decline causes a larger EBIT decline. Sales $ Rev. TC F QBE Sales $ Rev. TC F QBE EBIT} Leverage ~ Risk © CA. Dr. Prithvi Ranjan Parhi 5:11 PM
  • 18. 18 Thank you CA. Dr. Prithvi Ranjan Parhi Mail: prithvi.baps@gmail.com WhatsApp :876 3434 746 Cell: 700 8246 670 © CA. Dr. Prithvi Ranjan Parhi 5:11 PM