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The Cost of Capital (Chapter 15)
OVU-ADVANCE
Managerial Finance
D.B. Hamm, rev. Jan 2006
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Cost of Capital?
When we say a firm has a cost of capital of,
for example, 12%, we are saying:
The firm can only have a positive NPV on a
project if return exceeds 12% The firm must earn 12% just to compensate
investors for the use of their capital in a project
The use of capital in a project must earn 12% or
more, not that it will necessarily cost 12% toborrow funds for the project
Thus cost of capital depends primarily on the
USE of funds, not the SOURCE of funds
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Weighted Average Cost of Capital
(overview) A firms overall cost of capital must reflect the
required return on the firms assets as a
whole If a firm uses both debt and equity financing,
the cost of capital must include the cost of
each, weighted to proportion of each (debt
and equity) in the firms capital structure
This is called the Weighted Average Cost of
Capital (WACC)
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Cost of Equity
The Cost of Equity may be derived from the dividendgrowth model as follows:
P = D / REg
Where the price of a security equals its dividend (D)divided by its return on equity (RE) less its rate of growth
(g). We can invert the variables to find REas follows:
RE= D / P + g
But this model has drawbacks when considering that somefirms concentrate on growth and do not pay dividends at
all, or only irregularly. Growth rates may also be hard to
estimate. Also this model doesnt adjust for market risk.
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Cost of Equity (2):
Therefore many financial managers prefer the security
market line/capital asset pricing model (SML or
CAPM) for estimating the cost of equity:
RE = Rf + Ex (RMRf)or Return on Equity = Risk free rate + (risk factor x risk
premium)
Advantages of SML: Evaluates risk, applicable to
firms that dont pay dividends
Disadvantages of SML:Need to estimate both Beta
and risk premium (will usually base on past data, not
future projections.)
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Cost of Debt
The cost of debt is generally easier to
calculate
Equals the current interest cost to borrow new
funds Current interest rates are determined from the
going rate in the financial markets
The market adjusts fixed debt interest rates to the
going rate through setting debt prices at adiscount (current rate > than face rate) or premium
(current rate < than face rate)
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Weighted Average Cost of Capital
(WACC) WACC weights the cost of equity and the cost
of debt by the percentage of each used in a
firms capital structure WACC=(E/ V) x RE+ (D/ V) x RDx (1-TC)
(E/V)= Equity % of total value
(D/V)=Debt % of total value
(1-Tc)=After-tax % or reciprocal of corp tax rate
Tc. The after-tax rate must be considered
because interest on corporate debt is deductible
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WACC Illustration
ABC Corp has 1.4 million shares common valued at $20per share =$28 million. Debt has face value of $5 million
and trades at 93% of face ($4.65 million) in the market.
Total market value of both equity + debt thus =$32.65
million. Equity % = .8576 and Debt % = .1424Risk free rate is 4%, risk premium=7% and ABCs =.74
Return on equity per SML : RE= 4% + (7% x .74)=9.18%
Tax rate is 40% Current yield on market debt is 11%
WACC = (E/V) x RE + (D/V) x RDx (1-Tc)
= .8576 x .0918 + (.1424 x .11 x .60)
= .088126 or 8.81%
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Final notes on WACC WACC should be based on market rates and
valuation, not on book values of debt orequity. Book values may not reflect thecurrent marketplace
WACC will reflect what a firm needs to earnon a new investment. But the new investmentshould also reflect a risk level similar to thefirms Beta used to calculate the firms RE.
In the case of ABC Co., the relatively low WACCof 8.81% reflects ABCs =.74. A riskierinvestment should reflect a higher interest rate.
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Cartoon
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Pause for Class Case
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Financial Leverage (Chapter 17)
OVU-ADVANCE
Managerial FinanceD.B. Hamm, Jan. 2006
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Equity vs Debt Financing (1)
Since the WACC is the weighted average ofcost of equity + cost of debt, we can vary theWACC by changing the mix of debt + equity If cost of debt < cost of equity, we can reduce
WACC by increasing the % of debt in the mix andvice versa
The value of the firm (its earnings potential)
is maximized when its WACC is minimized. A firm with a lower cost of capital can more easily
return profits to its owners
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Debt vs Equity Financing (2):
The optimal, or target capital structure is the
structure with the lowest possible WACC
The Interest Tax Shield(deductibility of corp.
interest) is critical here, because it effectivelylowers the cost of debt.
Therefore for many firms, the use of financial
leverage (debt financing) can lower WACC
and increase profitability
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Debt vs. Equity Financing (3):
Warning: choice between debt & equity cannot be based on interest rates, etc. alone.Risk must be considered as well
Systematic risk (see ch. 13) consists of twofactors which must be considered Business riskrisk inherent in firms operations
Financial riskrisk inherent in using debtfinancing
Remember debt is a multiplier: it can multiply returns if returns > cost of debt; but
it can also multiply losses, or returns < cost ofdebt.
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Pause for class case
illustrating Financial
Leverage
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Financial Leverage Considerations:
If profits are down, dividends (the key cost ofequity financing) can often be deferred.
Interest (cost of debt) must always be paid fora firm to remain solvent
Financial distress costs: costs incurred withgoing bankrupt or costs that must be paid toavoid bankruptcy
According to the static theory of capitalstructure, gains from the tax shield are offsetby the greater potential of financial distresscosts.
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Optimal Capital Structure: Optimal capital structure is achieved by
finding the point at which the tax benefit of anextra dollar of debt = potential cost offinancial distress. This is the point of:
Optimal amount of debt
Maximum value of the firm
Optimal debt to equity ratio
Minimal cost of WACC
This will obviously vary from firm to firm andtakes some effort to evaluate. No singleequation can guarantee profitability or evensurvival
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Critical considerations:
Firms with greater risk of financial distress must
borrow less
The greater volatility in EBIT, the less a firm should
borrow (magnify risk of losses)
Costs of financial distress can be minimized the more
easily firm assets can be liquidated to cover
obligations
A firm with more liquid assets may therefore have
less financial risk in borrowing
A firm with more proprietary assets (unique to the
firm, hard to liquidate) should minimize borrowing
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Congratulations!
You are now all
financial wizards!
End of module!