Downside risk asset pricing revisited: a new non-linear threshold model

We derive an asset pricing equilibrium formula in which the risk premium on a risky asset is given by a weighted sum of the regular beta capital asset pricing model and a market portfolio downside risk beta. The equilibrium model is obtained from a new utility function that builds on the class of do...

Full description

Bibliographic Details
Main Author: Olmo, Jose (Author)
Format: Article
Language:English
Published: 2010-10.
Subjects:
Online Access:Get fulltext
LEADER 01442 am a22001213u 4500
001 348571
042 |a dc 
100 1 0 |a Olmo, Jose  |e author 
245 0 0 |a Downside risk asset pricing revisited: a new non-linear threshold model 
260 |c 2010-10. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/348571/1/journal-risk-volume-number-fall-2010 
520 |a We derive an asset pricing equilibrium formula in which the risk premium on a risky asset is given by a weighted sum of the regular beta capital asset pricing model and a market portfolio downside risk beta. The equilibrium model is obtained from a new utility function that builds on the class of downside risk functions introduced in Bawa (1975, 1978) and that can be interpreted as an alternative to the disappointment utility functions of Dekel (1986) and Gul (1991), and the loss aversion utility functions as in Tversky and Kahneman (1991, 1992). This equilibrium model is econometrically represented by a non-linear threshold model that depends on a target return indicating market downturns. In the case where the target return is unknown we introduce an estimator of this threshold and a hypothesis test to assess statistically the significance of the downside risk parameter in the risk premium of the risky asset. An empirical exercise to industry, size and book-to-market portfolios uncovers a strong relationship between the risk premium and market portfolio downside risk 
655 7 |a Article