1984
DOI: 10.1016/0022-0531(84)90159-5
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A unified beta pricing theory

Abstract: This paper derives Ross's mutual fund separation theory and a new, equilibrium version of Ross's arbitrage pricing theory as special cases of a general theory. The paper also reveals that the two theories are identical in their predictions of asset prices and portfolio returns. The capital asset pricing model (a restricted case of the mutual fund separation theory) receives special treatment.

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Cited by 281 publications
(142 citation statements)
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“…7 For a partial list of works related to factor risk models, see (Acharya and Pedersen, 2005), (Ang et al, 2006), (Anson, 2013/14), (Asness, 1995), (Asness and Stevens, 1995), (Asness et al, 2001), (Bai, 2003), (Bai and Li, 2012), (Bai and Ng, 2002), (Bansal and Viswanathan, 1993), (Banz, 1981), (Basu, 1977), (Black, 1972), , (Blume and Friend, 1973), (Brandt et al, 2010), (Briner and Connor, 2008), (Burmeister and Wall, 1986), (Campbell, 1987), (Campbell et al, 2001), (Campbell and Shiller, 1988), (Carhart, 1997), (Chamberlain and Rothschild, 1983), (Chan et al, 1985), (Chen et al, 1986(Chen et al, , 1990, (Chicheportiche and Bouchaud, 2015), (Cochrane, 2001), (Connor, 1984(Connor, , 1995, (Connor and Korajczyk, 1988, 1989, (Daniel and Titman, 1997), (DeBondt and Thaler, 1985), (Dhrymes et al, 1984), (Fama and French, 1992, (Fama and McBeth, 1973), Harvey, 1991, 1999), (Forni et al, 2000(Forni et al, , 2005, (Forni and Lippi 2001), (Goyal et al, 2008), …”
Section: Introductionmentioning
confidence: 99%
“…7 For a partial list of works related to factor risk models, see (Acharya and Pedersen, 2005), (Ang et al, 2006), (Anson, 2013/14), (Asness, 1995), (Asness and Stevens, 1995), (Asness et al, 2001), (Bai, 2003), (Bai and Li, 2012), (Bai and Ng, 2002), (Bansal and Viswanathan, 1993), (Banz, 1981), (Basu, 1977), (Black, 1972), , (Blume and Friend, 1973), (Brandt et al, 2010), (Briner and Connor, 2008), (Burmeister and Wall, 1986), (Campbell, 1987), (Campbell et al, 2001), (Campbell and Shiller, 1988), (Carhart, 1997), (Chamberlain and Rothschild, 1983), (Chan et al, 1985), (Chen et al, 1986(Chen et al, , 1990, (Chicheportiche and Bouchaud, 2015), (Cochrane, 2001), (Connor, 1984(Connor, , 1995, (Connor and Korajczyk, 1988, 1989, (Daniel and Titman, 1997), (DeBondt and Thaler, 1985), (Dhrymes et al, 1984), (Fama and French, 1992, (Fama and McBeth, 1973), Harvey, 1991, 1999), (Forni et al, 2000(Forni et al, , 2005, (Forni and Lippi 2001), (Goyal et al, 2008), …”
Section: Introductionmentioning
confidence: 99%
“…For instance, the classical capital asset pricing model (CAPM) predicts portfolio separation (that all agents should hold the market portfolio), while Merton's (1973) continuous-time model and Connor's (1984) equilibrium version of APT both predict k-fund separation.…”
Section: Introductionmentioning
confidence: 99%
“…is a null function of i: For this theorem we employ a condition on 5 We shall follow the more traditional representations (7) and (8) …”
Section: The Systematic Risk Exposuresmentioning
confidence: 99%
“…First consider models in which both v i and y i are absent. For example, Ross (1976), Connor(1984), discuss the diversi¯cation of the idiosyncratic components u 0 a i by essentially setting out conditions under which each u 0 a i is zero for each i: The factors then reduce to S with no necessity of invoking a law of large numbers. The associated conditions on preferences and asset returns are however quite strong.…”
Section: Asset Pricing Examplesmentioning
confidence: 99%