n Arbitrage Pricing Theory can you explain the following assumptions meanings

A First Course in Probability (10th Edition)
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in Arbitrage Pricing Theory can you explain the following assumptions meanings

Arbitrage Pricing Theory (Ross, 1976)
The Arbitrage Pricing Theory (APT) of Ross (1976) is a no-arbitrage model stating
that a few (K, say) common factors drive expected returns, i.e.,
K
ři = Hi + bik fk +ết
(1)
k=1
where u; is an asset-specific constant, fk are factor innovations with E fk = 0,
bik are factor loadings, and a, is an idiosyncratic risk component specific to asset i
that can be diversified away under the following assumptions
E E = 0
(2)
%3D
Cov fk,ei = 0 Vi,k
(3)
Cov [õi, ến] = 0 Vi +h
Var (ē] = E [E] = o, < s? < 0
(4)
%3D
(5)
Transcribed Image Text:Arbitrage Pricing Theory (Ross, 1976) The Arbitrage Pricing Theory (APT) of Ross (1976) is a no-arbitrage model stating that a few (K, say) common factors drive expected returns, i.e., K ři = Hi + bik fk +ết (1) k=1 where u; is an asset-specific constant, fk are factor innovations with E fk = 0, bik are factor loadings, and a, is an idiosyncratic risk component specific to asset i that can be diversified away under the following assumptions E E = 0 (2) %3D Cov fk,ei = 0 Vi,k (3) Cov [õi, ến] = 0 Vi +h Var (ē] = E [E] = o, < s? < 0 (4) %3D (5)
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