Portfolio Management I Flashcards
Covariance formula
Sum[(Xr - Xbar)*(Yr-Ybar)] / N-1
Capital allocation line
(1) Combining risk free asset with risky asset
(2) Correlation is 0, volatility is reduced
(3) Line runs from risk free asset to optimal portfolio
Capital allocation line optimal portfolio
Where indifference curve and capital allocation line meets
CAPM assumption expectations
Investors have homogenous expectations, meaning same estimates of risk, return and correlations.
CAPM Market Line Formula
E(Rp) = RFR + (E(Rm) - RFR) * (stdev portfolio / stdev market)
CAPM Theory
Security returns depend on SYSTEMATIC risk, because diversification is free so no benefit from unsystematic risk
Beta definition
Sensitivity of asset return to the market
Beta formula
COVAR(asset return, market return) / Var(market return)
Security Market Line (SML) formula
SML = E(Ri) = RFR + Beta * [E(Rmkt) - RFR)]
Security Market Line meaning
Expected return is risk free rate + beta adjusted market premium.
CAPM and discount rates
Can use the CAPM / SML rate to get the discount rate for a project given its beta
Security Market Line (buy/sell)
All correctly priced assets should be on the SML. If expected > required, buy. Etc.
Jensen’s Alpha
(1) % return in excess from portfolio with same beta but on the SML
(2) (return of portfolio - RFR) - Beta*(Return on market - RFR)
Investment Constraints (RRTTLLU)
Risk, Return, Time Horizon, Taxes, Liquidity, Legal Restrictions and Unique Characteristics
Dealers / Brokers
Dealers facilitate trades through their own inventory
Brokers act as agent