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INTRODUCTIO
N
TO
BUSINESS
FINANCE
BY: HADIQA MURTAZA
Topics to be cover:
COST OF EQUITY
COST OF DEBT
WACC (Weighted Average Cost of Capital)
COST OF EQUITY:
 Cost of equity refers to a shareholder's
required rate of return on an equity investment.
 It is the rate of return that could have been earned by
putting the same money into a different investment
with equal risk.
TWO WAYS:
In general, there are two ways to determine cost of equity.
1. Dividend Valuation Model.
2. Capital Asset Pricing Model (CAPM).
DIVIDEND VALUATION MODEL:
First is the dividend valuation model:
 Cost of Equity = (Next Year's Annual Dividend / Current Stock Price) +
Dividend Growth Rate.
Where:
• Ke= cost of equity.
• D1= dividend expected one year hence.
where, D1= Do(1+g)
• Do= last paid dividend.
• Po= price of common stock.
• g= growth rate.
Example:
 FOR HADI’S COMPANY
Current market price, Po= $10
Expected Dividend, D1= $0.5 per share
Dividend growth rate, g = 5% per year
Compute cost of equity, Ke=
SOLUTION:
 Ke=(D1/P0 +g)*100
 Ke= (0.5/10 +0.05)*100
Answer: Ke=10%
CAPITAL ASSET PRICING MODEL
(CAPM).
 Second is the Capital Asset Pricing Model (CAPM):
Where:
• Rf = Risk free interest rate.
• Be = Equity beta.
• Rm = the market's overall expected rate of return.
• Ke = cost of equity.
Example:
 FOR ZUBI’S COMPANY:
 Let's assume the following for Company:
Risk free interest rate, Rf= 3%
Equity Beta, Be=$1.0
Average Market rate of return, Rm= 12%
SOLUTION:
Ke = Rf + Be (Rm-Rf)
Ke = 3% + 1.0*(12% - 3%)
Answer : Ke = 12%
COST OF DEBT:
 Cost of debt is the interest a company pays on its
borrowings. It is expressed as a percentage rate.
 cost of debt can be calculated as a before-tax rate or an
after-tax rate.
 Because interest is deductible for income taxes, the cost of
debt is usually expressed as an after-tax rate.
EXAMPLE: COST OF DEBT AFTER
TAX
 FOR ZAC’S COMPANY:
CURRENT MARKET VALUE= $95
INTEREST RATE = 12%
PAR VALUE OF BOND,Redemption = $100
MATURITY= 8 YRS
Example: COST OF DEBT AFTER
TAX
FOR ZAC’S COMPANY:
Items Cashflow Years D.F@10% Dcf Df@7% Dcf
Current market value ($95) 0 1 ($95) 1 ($95)
Interest $12 1-8 5.332 44.78 5.967 50.1
Redemption $100 8 0.466 46.6 0.5282 52.8
-3.6 +7.92
COST OF DEBT AFTER TAX:
Where a=7% ,b=10%, A= 7.92 and B= 3.6
SOLUTION:
 Kd(1-t)=[a+A/A+B (b-a)]
Kd(1-t)=[7+7.92/7.92+3.6 (10-7)]
Kd(1-t)=[7+7.92/11.52 (3)]
Answer: Kd(1-t)= 9.06%
WACC (Weighted Average Cost Of Capital)
 “The weighted average cost of capital (WACC) is the rate
that a company is expected to pay on average to all its
security holders to finance its assets”.
 The WACC represents the minimum return that a company
must earn on an existing asset base to satisfy its creditors,
owners, and other providers of capital, or they will invest
elsewhere.
TWO COMPONENTS:
 There are two major components :
 Debt.
 Equity.
FORMULA:
 Where,
 D = market value of Debt
 E = market value of Equity
 Kd = cost of debt
 Ke = cost of equity
 t = corporate tax rate
EXAMPLE: WACC
FOR SHAN’S COMPANY:
Kd(1+t)= 6.90%
D= 1650
E= 9600
Ke=18.4%
WACC=?
SOLUTION:
WACC= Kd(1-t)* D/E+D + Ke* E/E+D
WACC= 6.90 * 1650/9600+1650 +18.4* 9600/9600+1650
ANSWER: WACC= 16.7%
WHY COMPANY CONSIDER WACC?
Companies can use WACC to see if the
investment projects available to them are
worthwhile to undertake.
Introduction to business finance

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Introduction to business finance

  • 2. Topics to be cover: COST OF EQUITY COST OF DEBT WACC (Weighted Average Cost of Capital)
  • 3. COST OF EQUITY:  Cost of equity refers to a shareholder's required rate of return on an equity investment.  It is the rate of return that could have been earned by putting the same money into a different investment with equal risk.
  • 4. TWO WAYS: In general, there are two ways to determine cost of equity. 1. Dividend Valuation Model. 2. Capital Asset Pricing Model (CAPM).
  • 5. DIVIDEND VALUATION MODEL: First is the dividend valuation model:  Cost of Equity = (Next Year's Annual Dividend / Current Stock Price) + Dividend Growth Rate. Where: • Ke= cost of equity. • D1= dividend expected one year hence. where, D1= Do(1+g) • Do= last paid dividend. • Po= price of common stock. • g= growth rate.
  • 6. Example:  FOR HADI’S COMPANY Current market price, Po= $10 Expected Dividend, D1= $0.5 per share Dividend growth rate, g = 5% per year Compute cost of equity, Ke= SOLUTION:  Ke=(D1/P0 +g)*100  Ke= (0.5/10 +0.05)*100 Answer: Ke=10%
  • 7. CAPITAL ASSET PRICING MODEL (CAPM).  Second is the Capital Asset Pricing Model (CAPM): Where: • Rf = Risk free interest rate. • Be = Equity beta. • Rm = the market's overall expected rate of return. • Ke = cost of equity.
  • 8. Example:  FOR ZUBI’S COMPANY:  Let's assume the following for Company: Risk free interest rate, Rf= 3% Equity Beta, Be=$1.0 Average Market rate of return, Rm= 12% SOLUTION: Ke = Rf + Be (Rm-Rf) Ke = 3% + 1.0*(12% - 3%) Answer : Ke = 12%
  • 9. COST OF DEBT:  Cost of debt is the interest a company pays on its borrowings. It is expressed as a percentage rate.  cost of debt can be calculated as a before-tax rate or an after-tax rate.  Because interest is deductible for income taxes, the cost of debt is usually expressed as an after-tax rate.
  • 10. EXAMPLE: COST OF DEBT AFTER TAX  FOR ZAC’S COMPANY: CURRENT MARKET VALUE= $95 INTEREST RATE = 12% PAR VALUE OF BOND,Redemption = $100 MATURITY= 8 YRS
  • 11. Example: COST OF DEBT AFTER TAX FOR ZAC’S COMPANY: Items Cashflow Years D.F@10% Dcf Df@7% Dcf Current market value ($95) 0 1 ($95) 1 ($95) Interest $12 1-8 5.332 44.78 5.967 50.1 Redemption $100 8 0.466 46.6 0.5282 52.8 -3.6 +7.92
  • 12. COST OF DEBT AFTER TAX: Where a=7% ,b=10%, A= 7.92 and B= 3.6 SOLUTION:  Kd(1-t)=[a+A/A+B (b-a)] Kd(1-t)=[7+7.92/7.92+3.6 (10-7)] Kd(1-t)=[7+7.92/11.52 (3)] Answer: Kd(1-t)= 9.06%
  • 13. WACC (Weighted Average Cost Of Capital)  “The weighted average cost of capital (WACC) is the rate that a company is expected to pay on average to all its security holders to finance its assets”.  The WACC represents the minimum return that a company must earn on an existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere.
  • 14. TWO COMPONENTS:  There are two major components :  Debt.  Equity.
  • 15. FORMULA:  Where,  D = market value of Debt  E = market value of Equity  Kd = cost of debt  Ke = cost of equity  t = corporate tax rate
  • 16. EXAMPLE: WACC FOR SHAN’S COMPANY: Kd(1+t)= 6.90% D= 1650 E= 9600 Ke=18.4% WACC=? SOLUTION: WACC= Kd(1-t)* D/E+D + Ke* E/E+D WACC= 6.90 * 1650/9600+1650 +18.4* 9600/9600+1650 ANSWER: WACC= 16.7%
  • 17. WHY COMPANY CONSIDER WACC? Companies can use WACC to see if the investment projects available to them are worthwhile to undertake.