Portfolio Theories and Models Flashcards
Key MPT Assumptions
Normal distributions
Fixed correlations
Rational investors and risk averse
Risk is known and constant
All info is public
No taxes or transactions costs
Market risk premium defined
the risk premium on the market portfolio will be proportional to its risk and the degree of risk aversion of the investor
Mean variance optimization developed by
Harry Markowitz
MVO defined
quantitative model designed to select securities for inclusion in an optimal portfolio that maximizes return for a stated level of risk
Necessary inputs for MVO
Securities expected returns
Expect risk (SDEV)
expected cross security correlations
MVO portfolio optimization includes
maximize return and minimize risk
Portfolios on the mean variance efficient frontier are found by
searching for the portfolio with the least variance given some minimum return
Efficient Frontier defined
a set of optimal portfolios with the highest expected return for a set or defined amount of risk as measured by SDEV
Efficient frontier demonstrates what
Best use of investment capital “IF” optimizing for risk-adjusted return is the objective
more effective diversification
Capital asset line defined
line represents all possible combination of risk free and risk assets; represents possible returns by taking on different levels of risk
Capital asset line also commonly called
capital allocation line
Brinson Beebower and Hood
Asset allocation is the primary determinant of a portfolio’s return variability
Securities selection and market timing played only a minor role in portfolio performance
Black - Litterman Model combines
CAPM, MPT and MVO
Black Litterman Model allows what
flexibility to change data and add more data points
Efficeint market hypothesis says what about stock prices
already reflected all available information
Follow a random walk
Weak Form claims that
past price movements and volume do not impact prices
Technical analysis is not beneficial, fundamental analysis can add value
Semi Strong Form claims that
all public information is reflected in a stock’s current price
states that neither technical nor fundamental analysis can add value
Strong Form Claims that
All public and private information is reflected in a stock’s current price
not even insider information can add value
Implications of EMH
Technical analysis - using prices and volume information to predict future prices
Magnitude issue
only managers of large portfolios can earn enough trading profits to make the exploitation of minor mispricing worth the effort
Selection bias issue
only unsuccessful investment schemes are made public; good schemes remain private
Semi Strong Tests : Anomalies
PE Effect
Small Firm Effect
Neglected Firm Effect
Book-to-market ratios
Post earning announcements
CAPM explains what
the relationship between risk and expected return
investors should be compensated for both the time value of money and risk taken
CAPM formula
Risk free rate + Market risk premium times the beta of the asset
Security market line is a graphical expression of what
CAPM
The slope of the SML represents what
the market risk premium
SML is measured by what
BETA
Arbitrage Pricing Theory
seeks to explain security returns beyond the usual metrics by introducing risk factors such as expected return, sector and systematic factors
APT assumptions
does not require an expected market return
Arbitrage occurs if there is what
zero investment portfolio with a sure profit
APT applies well to
well-diversified portfolios not necessarily individual stocks
Fama French Three Factor Model
Small minus big
High minus low book-to-market ratios (Value style)
Risk premium
Semi Variance measures
dispersion of data that is below the mean or target value of a data set
Semi Variance defined
is the average of the all squared deviations of values less than the average or mean
VAR defined
measure of risk that quantifies potential loss, the probability of the potential loss and the time frame for the potential loss
VAR assumes what
market to market pricing, no trading and normal market conditions
VAR is most frequently associated with
extreme negative returns
Expected Shortfall (ES)
More conservative measure of downside risk than VAR