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Cov(i,j) = Beta(i),Beta(j)*VarMkt
1.) The expected value of the error term is zero. 2.) Errors are
uncorrelated with the market return3.) Firm specific surprises are
uncorrelated across assets.
R(Rent Shop) = .14 + 1.5F1 + .08F2 + Error rnt shpR( Carpets) = .08 +
1.2F1 + .2(F2) + Error cpts Assuming .75 weighted to rent shop, and .25
to carpet shop, simply combine them using respective weights.RP = .125 +
1.425F .....etc ....
Unlike CAPM, APT does not require that one of the risk factors is the market portfolio.
CAPM return can be viewed as the inimum return that investors should
be willing to accept, commensurate with the risk associated with the
asset.
APT is a cross sectional equilibrium pricing model that explains the
variation across assets expected returns during a single time period.
Multifactor model is a time series regression that explains variation
over time. APT is an equilibrium model that assumes no arb. while macro
is an ad hoc model. APT intercept is the risk free rate while the
intercept from the macroeconomic model is expected return.
The market price of risk. This = the sharp ratio for the market portfolio.
Standardized sensitivities in fundimental factor models are calculated
directly from the attribute, rather than being estimated. Macroenocomic
factors are surprises. Fundimental factor models have more factors
typcically. Intercept term of macroeconomic model = the stocks expected
return. No interpretation for the fundimental factor model intercept.
Assume asset returns are explained by the returns from multiple firm specific factors. (PE/Mkt Cap, leverage ratio, etc)
The expected return.
Variance(i) = Beta(i)^2*Beta(mkt)^2 + E^2 **Where E^2 = error variance AKA "unsystematic risk"
The CML is the capital allocation line in a world in which all
investors agree on the expected returns, standard deviations, and
correlations of all assets (homogeneous expectations).
Only 2. They are 1.) Unanticipated macroeconomic events (systematic risk)2.) Firm specific events (unsystematic risk)
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