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
Leverage Ratio
value of asset / value of equity position
Maintenance Margin
Typically 25% of position
Margin call price formula
Initial purchase price * [(1-initial margin) / (1-maintenance margin)]
Underwritten offer
Bank agrees to purchase entire issue at negotiated price
Best efforts
Bank is not obligated to buy remaining shares.
Shelf registration
Firm makes public disclosures as in regular offering, but sells over time as needed
Price weighted indices
(1) Higher priced stocks have a greater weight
Equal-weighted indices
(1) each security has the same weighting
(2) transaction costs from rebalancing can be high
Market capitalization weighted indices
(1) more accurately reflect changes in investor wealth
(2) Do not need to be adjusted for splits or stock dividends
Fundamental weighted indices
(1) avoids overvalue bias present in other indices
(2) will naturally have a value bias
Weak form market efficiency
(1) Prices fully reflect all available data.
(2) Based data has no predictive power
(3) Technical analysis doesn’t work
Semi-strong form market efficiency
(1) Prices rapidly adjust without bias.
(2) Prices fully reflect all publicly available info
(3) Fundamental analysis does not work
Strong form
(1) Prices fully reflect all information (public and private)
(2) No one can beat the market
Loss aversion
More risk averse when faced with losses than gains
Representativeness
Assuming a good company is a good investment
Gambler’s fallacy
Recent results affect estimates of future outcomes
Conservatism
Reacting slow to changes
Disposition effect
Willing to realize gains but not losses