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phoebeweiwei2021-01-10 21:07:44

请问老师,书上这段没有看懂,可否解释下,多谢 The basic premise of APT is that investors can create a zero-beta portfolio with zero net investment. If such a portfolio yields a positive return, however, then a sure profit can be real-ized through arbitrage. The fundamental result, as proved by Professor Ross, is that the absence of arbitrage opportunities requires the expected return on all well-diversified portfolios to satisfy E(RP) = E(RZ) + bP1[E(I1) - E(RZ)]+ c +bPK [E(IK) - E(RZ)] where RP is the return on a well-diversified portfolio with expected return E(RP); bPk is the factor loading for the portfolio P related to factor k; E(RZ) is the expected rate of return on the zero-beta port-folio (i.e., the risk-free rate) such that Cov(Ik, RZ) = 0, for k = 1, c,K; and E(Ik) - E(RZ) is the risk premium associated with factor k.

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Yvonne2021-01-11 10:11:35

同学你好,APT模型的基本前提是投资者可以用零净投资来构造一个零beta的投资组合。如果这样的投资组合产生正收益那么就存在套利机会。也就是说套利的过程中投资者不需要持有相关资产,并且整个过程是无风险的。当市场上不存在套利机会的时候充分分散投资组合的预期收益与多个风险因素之间就存在着近似的线性关系。
Rp代表预期收益为E(Rp)的充分分散投资组合的收益;bPk代表投资组合P中与因子k有关的因子载荷;E(Rz)代表零beta投资组合的预期收益(比如无风险利率),cov(ik,Rz)=0;E(ik)-E(Rz)是风险因子k的风险溢价。

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