fin 819 market efficiency and capital structure some classic arguments
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FIN 819
Market Efficiency and Capital Structure
Some classic arguments
FIN 819
Today’s plan Review of the key ideas in option pricing How to improve this course Investment Decision vs. Financing Decision Market efficiency
• Does the stock price follow a random walk?• Three forms of Market Efficiency
• Weak form efficiency• Semi-strong form efficiency• Strong form efficiency
The capital structure without corporate taxes Valuing risky corporate bonds Capital structure with corporate taxes
• Levered and unlevered betas Two theories for the optimal capital structure in the real world.
FIN 819
Key ideas in option pricing There are two important ideas in option pricing
• No arbitrage argument• Replicating portfolios
These two ideas have a lot of applications.• Get the PV of a piece of uncertain cash flow in the future• Used to show or derive a lot of important results in modern
finance (two famous examples)• Black-Sholes formula• Capital structure irrelevancy in the case of no corporate tax
• The no arbitrage condition is a much weaker condition than the equilibrium one, and thus has been widely applied in finance. Now it is an important phrase of the Finance language.
FIN 819
The ideas to improve FIN 819 Some students have concerns:
• Overlapping with BUS 785• Too easy• More challenging materials
My ideas:• No overlap, few lectures• About 8-10 cases to be used• No quizzes• Two teams presenting the same case
Your Ideas
FIN 819
Investment vs. Financing
Investment decisions or capital budgeting is about how to take projects to maximize V.
Financing decisions are about how to raise capital (E or D) to finance the projects to be taken
Asset Liabilities and equity
VDebt: D
Equity: E
FIN 819
Market Efficiency
Market efficiency is concerned about whether capital markets have all information about the cash flows and risk of projects.
Financing and market Efficiency
FIN 819
Efficient capital markets
Efficient Capital Markets – If capital markets are efficient, then security prices reflect all relevant information about asset values ( cash flows and risk)
FIN 819
Market efficiency and random walk
Market efficiency concepts are very abstract.
How can we use a simple way to check whether the stock market (one of the capital markets) is efficient or not?• If the stock price follows a random walk, then
the stock market is efficient.
FIN 819
What is a random walk of stock prices?
The movement of stock prices from day to day DO NOT reflect any pattern.
Statistically speaking, the movement of stock prices is random.
FIN 819
A Random Walk example
$103.00
$100.00
$106.09
$100.43
$97.50
$100.43
$95.06
Coin Toss Game
Heads
HeadsHeads
Tails
Tails
Tails
FIN 819
Three forms of market efficiency
The random walk concept is still abstract Financial economists have used three
more specific forms to characterize or judge market efficiency.• Weak-form
• Semi-strong form
• Strong form
FIN 819
Weak-form of market efficiency
Weak Form Efficiency - Market prices reflect all information contained in the history of past prices, or you cannot use past stock prices to predict future prices
Technical Analysts - Investors who attempt to identify over- or undervalued stocks by searching for patterns in past prices.
FIN 819
Efficient Market Theory
Last Month
This Month
Next Month
$90
70
50
EI’s Stock Price
Cycles disappear
once identified
FIN 819
Semi-strong form of market efficiency
Semi-Strong Form Efficiency - Market prices reflect all publicly available information such as earnings, price-to-earnings ratios,etc.
Fundamental Analysts - Analysts who attempt to fund under- or overvalued securities by analyzing fundamental information, such as earnings, asset values, and business prospects.
FIN 819
Efficient Market Theory
-16
-11
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-14
9
14
19
24
2934
39
Days Relative to annoncement date
Cu
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(%)
Announcement Date
FIN 819
Market Efficiency
0
5
10
15
20
25
Av
era
ge
re
turn
, pe
rce
nt
Highest
Book-Market Ratio
Fama & FrenchReturn vs. Book-Market
FIN 819
Strong form of market efficiency
Strong Form Efficiency - Market prices reflect all information that could in principle be used to determine true value.
Inside trading• Investors use private information to predict
future price movements
FIN 819
Efficient Market Theory
-16
-11
-6
-14
9
14
19
24
2934
39
Days Relative to annoncement date
Cu
mu
lati
ve A
bn
orm
al R
etu
rn
(%)
Announcement Date
FIN 819
Some exercises
1. If stock markets are efficient in the weak-form, what should the correlation between stock returns for two non-overlapping periods?
2. Which is the most likely to contradict the weak-form of efficiency
a. Over 25% of mutual funds outperform the market on average
b. Insiders can make abnormal profitsc. Every January, the stock market earns abnormal
return
FIN 819
Look at the both sides of a balance sheet
Asset Liabilities and equity
Market value of the asset
V
Market value of equityE
Market value of debt
D
V=E+D
FIN 819
Capital structure
Capital structure refers to the mix of debt and equity of a firm.
Capital structure has two related questions: • Does the capital structure affect the value of a
firm? Or does the amount of debt a firm has affect its value?
• What is the optimal amount of debt a firm should have?
FIN 819
Does capital structure affect the firm value?
Equity DebtEquity
Equity
DebtDebt
Govt.Govt.
Slicing the pie doesn’t affect the total amount
available to debt holders and equity holders
Slicing the pie can affect the size of the slice
going to government
Slicing the pie can affect the size of the
wasted slice
wasted
FIN 819
Capital structure without corporate taxes
If there is no corporate tax, we will have the following two famous results• M&M propositions 1 and 2
Pay attention to the condition for these propositions to be valid
Why do we consider such simple, unrealistic situations?
FIN 819
MM’s proposition 1 (without tax)
Modigliani & Miller• If the investment opportunity is fixed, there
are no taxes, and capital markets function well, the market value of a company does not depend on its capital structure.
What is the intuition for this result? Can we use different ways to prove this?
FIN 819
MM’s proposition 2 (without tax)
Modigliani & Miller• If the investment opportunity is fixed, there
are no taxes, and capital markets function well, the expected rate of return on the common stock of a levered firm increases in proportion to the debt-equity ratio (D/E), expressed in market values.
• The WACC is a constant.
FIN 819
Example - River Cruises - All Equity Financed
17.5%12.5%7.5% shares on Return
1.751.25$.75shareper Earnings
175,000125,000$75,000Income Operating
BoomExpectedSlump
Economy theof State Outcome
million 1 $Shares of ValueMarket
$10shareper Price
100,000shares ofNumber
Data
M&M (Debt Policy Doesn’t Matter)
FIN 819
Example
cont.
50% debt
25%15%5% shares on Return
2.501.50$.50shareper Earnings
125,00075,000$25,000earningsEquity
50,00050,000$50,000Interest
175,000125,000$75,000Income Operating
BoomExpectedSlump
Economy theof State Outcome
500,000 $debt of ueMarket val
500,000 $Shares of ValueMarket
$10shareper Price
50,000shares ofNumber
Data
M&M (Debt Policy Doesn’t Matter)
FIN 819
r
DV
rD
rE
WACC
WACC without taxes in MM’s view
FIN 819
Valuing risky debt
So far, we have learned how to value a risk-free debt. By risk-free debt, we mean that bond investors always get paid for what they are promised when they lend money to firms or governments.
In reality, corporate bonds are not risk-free. When firms borrow money from the bond holders, they may not have enough cash to pay the bond holders in the future.
FIN 819
Valuing risky debt
To illustrate how to value a risky debt, we focus on a simple situation: • Firms have a zero-coupon bond.
More specific, suppose that a firm has issued $K million zero-coupon bonds maturing at time T. Let the market value of the firm asset at time T be V(T).
FIN 819
Valuing risky corporate debts
Using the put-call parity, we have
Where P(K,T) is the value of a European put option with the strike price K and the maturity date T
Please try to derive this formula and understand this situation?
),( TKPKeDTr f
FIN 819
Problem: On march 4, 1994, Chrysler was the eighth largest U.S. firm according to Fortune magazine. It issued 20-years zero-coupon debt with book value of $36.994 billion. The book value of the asset is $43.83 billion and the market value of equity is $21.0468 billions. The risk free rate was 8% and the volatility of the asset return is 30%.
• What is the market value of the debt?
• What is the interest rate charged on Chrysler’s debt?
Example
FIN 819
Solution
The market value of the debt is $5.98 million
The interest rate charge on Chrysler’s debt is 9.11%.
The market value of the asset is $27.03 million
FIN 819
Capital structure with taxes
If there is corporate tax, we also have two famous results:• M&M propositions 1 and 2
Remember that to make the two propositions valid, we still have to assume that the investment opportunity is fixed and the financial market functions very well.
FIN 819
MM’s propositions withtax
MM’s proposition 1• firm value = value of all equity firm + PV (tax
shield)
• PV(tax shield)=TcD
MM’s proposition 2 • The weighted average cost of capital is decreasing
with the ratio of D/E, and the cost of equity is increasing with D/E.
• Can you prove and understand these results?
FIN 819
WACC Graph
FIN 819
Optimal Capital structure with tax
So according to M&M proposition 1 with tax, the optimal capital structure is that firms issue all the debt.
In the real world, very few firms issue all the debt to raise money
What is wrong with M&M propositions?
FIN 819
Capital structure with financial distress cost
Costs of Financial Distress - Costs arising from bankruptcy or distorted business decisions before bankruptcy.
Market Value = Value if all Equity Financed
+ PV Tax Shield
- PV Costs of Financial Distress
FIN 819
Optimal Capital structure
Trade-off Theory - Theory that capital structure is based on a trade-off between tax savings and distress costs of debt.
Pecking Order Theory - Theory stating that firms prefer to issue debt rather than equity if internal finance is insufficient.
FIN 819
Financial Distress
Debt
Mar
ket V
alue
of
The
Fir
m
Value ofunlevered
firm
PV of interesttax shields
Costs offinancial distress
Value of levered firm
Optimal amount of debt
Maximum value of firm