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total risk
standard deviation of a stock's returns
systematic and unsystematic
for well-diversified: unsystematic risk very small
total risk for diversified portfolio is essentially = systematic risk
total return
expected return + unexpected return
systematic risk
market risks - unanticipated events that affect almost all assets to some degree
-->
MEASURED BY BETA
risk factors that affect large number of assets
aka non-diversifiable or market risk
includes things like GDP, inflation, interest rates, presidential elections
unsystematic risk
unique or asset specific - unanticipated events that affect single assets of small groups of assets
-->
risk factors that affect limited number of assets
aka unique risk and asset specific risk
includes labor strikes, part shortages, etc.
effect of diversification
some but not all of the risks associated with a risky investment can be eliminated by diversification (not putting all eggs (investment) into one basket
systematic risk principal and beta
the reward for bearing risk depends only on the level of systematic risk (you can diversify away unsystematic risk)
level of systematic risk in a given asset, relative to average, is given by the *Beta* of that asset
Harry Markowitz
Father of Modern Portfolio Theory
further developed by William Sharpe and Merton Miller
Modern Portfolio
basis of modern financial management
reward to risk ratio
ratio of its risk premium to its beta
all assets plot on same line: the security market line (SML)
risk premium: (E(Ri)-Rf))
Capital Asset pricing Model (CAPM)
From the SML, the expected return on asset (i) can be written: E(Ri)=Rf + [E(RM)- Rf] x Beta
risk free + beta (market - risk-free)
unexpected returns
can be pos or neg
over time, avg = 0
affects stock price and its return
efficient markets
result of investors trading unexpected portion of announcements
the easier it is to trade on surprises, more efficient markers should be
involve random prices because cannot predict surprises
unexpected return
systematic portion+unsystematic portion
portfolio
collection of assets
asset risk and return important-->affect risk and return of portfolio
risk-return trade-off measured by *portfolio expected return and standard deviation*
standard deviation
very spread out, returns uncertain
close, returns more certain
expected return on portfolio
sum of: expected return of each asset multiplied by their weight
portfolio diversification
investment in several different asset classes or sectors
like investments in many different industries; not just 100 stocks in one industry
diversification
greatly reduce variability of returns without reducing expected returns
systematic portion cannot be diversified away
diversifiable risk
risk that can be eliminated by combining assets into a portfolio
aka unsystematic, unique, asset-specific risk
beta coefficient
= 1 --> asset has same systematic risk as overall market
< 1 --> asset has less systematic risk than overall marker
> 1 --> asset has more systematic risk than overall market
portfolio beta
sum of: weight x beta
risk premium
expected return - risk-free rate
the higher the beta, the greater the risk premium should be
can use risk premium and best to guess the --> expected return
risk-to-reward ratio
beta to expected return graph
Slope = (E(RA) - Rf) / (BetaA - 0)
market equilibrium
E(RA)-Rf/Beta = E(RM-Rf)/BetaM
assets and portfolios must have same reward-to-risk ratio
must =
reward-to-risk ratio for market
security market line (SML)
Slope = E(RM) - Rf = market risk premium
beta of market always = 1
required return on asset
risk free + beta x (market - risk-free)
reward/risk ratio
(required return on asset - risk-free) / beta
required return on portfolio
(% asset x required return on asset) + (other % x market)
expected returns
based on probabilities of possible outcomes
sum of: probability x return
risk premium (equation)
required - risk-free
why cost of capital important
return on assets depends on the risk of those assets
(higher risk=higher reward)
return to investor = cost to the company
cost of capital = how the market views the risk of company
cost of capital can tell us required return for budgeting projects
required return (concepts)
same as discount rate, based on the risk of cash flows
need to know required return on investment before getting the NPV
need to earn at least required return to compensate investors (who financed)
cost of equity (concepts)
return required by equity investors (pertains to risk on cash flows from firm)
-business risk
-financial risk
two major methods to determine cost of equity
-dividend growth model
SML or CAPM
dividend growth model
cost of equity (RE) = dividend / price of stock + growth
dividend growth model for cost of equity (concepts)
pro: easy to understand and use
con: only to companies paying dividends
doesn't apply if dividends aren' growing at constant rate
sensitive to estimated growth rate
does not really consider risk
SML for cost of equity (concepts)
in slide:
cost of equity = risk-free + beta(market)
pro:
adjusts for systematic risk
applies to all companies
con:
estimate market risk premium
estimate beta
using past to predict future (not always good)
cost of debt
required return on company's debt
cost of long term or bonds
best to compute yield to maturity
use current rates to issue new debt
international fisher effect
real rate of returns constant across all countries
home currency approach
estimate cash flow in foreign country
est future exchange rate with UIP or PPP
convert to dollars
discount in dollars
foreign currency approach
est cash flow in foreign currency
use IFE to convert domestic required return to foreign required return (compare the two)
discount with foreign
convert to NPA to dollars using current spot rate
spot trade
exchange currency immediately
spot rate
exchange rate for immediate trade
forward exchange
agree today o exchange currency at some rate and time in future
forward rate
exchange rate specified in forward contract
forward rate > spot rate
foreign currency is selling at PREMIUM
forward rate < spot rate
selling at DISCOUNT
absolute PPP (purchasing power parity)
price of item should be same in real terms regardless of currency used to purchase it
trans costs 0
no barriers o trade (taxes, tariffs, etc)
no difference in commodity between locations
RARELY HOLDS IN PRACTICE
exchange rate (equation)
current (time 0) spot exchange rate [(1+(inflation rate of foreign-inflation rate of US)]
FOREIGN CURRENCY PER DOLLAR
carry trade
borrow low yielding currencies and invest in high yielding currencies
risk free rate
R US
T-bill rate
arbitrage opportunity
borrow 100 at 4%
buy $100(0.8 E/$)=81.6 Euro and invest at 2% for 1 year
in 1 year
receive 80(1.02)=81.6 E and convert to US
116.57 and repay loan
$100(1.04)=104
profit= $12.57 risk free
interest rate parity
=spot exchange rate[(risk free rate of foreign-risk free rate of US)]
unbiased forward rates
current forward rate is an unbiased est of future spot rate
on average FORWARD RATE = FUTURE SPOT RATE
repatriated cash flow
some cash generated from foreign project must remain in foreign country due to restrictions on repatriation
can occur by:
-dividends to parent company
-management fees for central services
-royalties on use of trade names and patents
short run exposure
risk from day to day fluctuates; have contracts to buy/sell goods in short-run
managing risk
enter forward agreement
use foreign currency to lock in exchange rates if they move against you, benefit from rate if they move in your favor
long run exposure
long run fluctuation comes from unanticipated changes in relative econ conditions
changes in market or government
try to match long run in/outflow
borrow from foreign country to mitigate
translation exposure
income from foreign operations must be translated back to US dollars (even if isn't actually converted)
gains and losses from translation flowed through directly through income statement --> affects the EPS
existing accounting regulation require that all cash flows be converted prevailing exchange rates with currency gains and losses accumulated in special account within equity
managing exchange risk
manage with several different countries
consider exposure to currency risk, instead of just looking at each currency separately
hedgin currencies could be expensive, may actually increase exposure
political risk
unstable governments=should require higher returns
the bidder
the acquiring firm
target firm
firm that is sought
consideration
cash or securities offered to target firm in acquisition
merger
one firm is acquired by another
2nd firm DOES NOT EXIST
much be approved by both firms
tender offer
public offer to buy shares made directly by bidder to target firm shareholders
horizontal
same industry
vertical
diff stages of production process
conglomerate
firms are unrelated
takeover
control goes from one group to another
after tax cost debt
RD(1-tc)
WACC
WE RE + WDRD(1-TC)
treat preferred separate
add on to equity section (with common stock)
PMT
coupon rate x 1000
divide by 2 if semiannual
pure play approach
compute beta for each company
take avg
use beta with CAPM to find return for project
subjective approahch
consider risk to overall firm
if project risk higher than first, use discount rate greater than WACC
if less risky than firm, use discount rate lower than WACC