2018
DOI: 10.1093/rfs/hhy127
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Cumulative Prospect Theory, Option Returns, and the Variance Premium

Abstract: We develop a tractable equilibrium asset pricing model with cumulative prospect theory (CPT) preferences. Using GMM on a sample of U.S. equity index option returns, we show that by introducing a single common probability weighting parameter for both tails of the return distribution, the CPT model can simultaneously generate the otherwise puzzlingly low returns on both out-of-the-money put and out-of-the-money call options as well as the high observed variance premium. In a dynamic setting, probability weightin… Show more

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Cited by 54 publications
(40 citation statements)
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“…For example, Shefrin (2008) finds that the pricing kernel has a U-shape when agents have heterogeneous risk tolerance. Baele, Driessen, Ebert, Londono, and Spalt (2018) observe that pricing kernels under the cumulative prospect theory (CPT) are U-shaped. a specific weighting function -in this case, Prelec's -then an analytical examination of the signs becomes possible.…”
Section: B Risk Premiumsmentioning
confidence: 99%
“…For example, Shefrin (2008) finds that the pricing kernel has a U-shape when agents have heterogeneous risk tolerance. Baele, Driessen, Ebert, Londono, and Spalt (2018) observe that pricing kernels under the cumulative prospect theory (CPT) are U-shaped. a specific weighting function -in this case, Prelec's -then an analytical examination of the signs becomes possible.…”
Section: B Risk Premiumsmentioning
confidence: 99%
“…is a dummy that takes the value of 1 when the one-monthahead return is above (below) a reference level r ref . Following the convention in the literature (see Feunou, Jahan-Parvar, and Okou (2017), Kilic and Shaliastovich (2018), and Baele, Driessen, Ebert, Londono, and Spalt (2018)), we define downside (upside) stock return variances conditional on the stock price at maturity being below (above) the current stock price (r ref = 0).…”
Section: Definitionsmentioning
confidence: 99%
“…Barberis and Huang (2008) show that, in a financial market where investors evaluate risk according to prospect theory, probability weighting leads to the prediction that the skewness will be priced. This idea has been used to explain low average returns of IPO stocks (Green and Hwang (2012)), the apparent overpricing of out-of-the-money options and the variance premium (Polkovnichenko and Zhao (2013), Baele et al (2017)), the lack of diversification in household portfolios (Polkovnichenko (2005)) and many other puzzles. On an aggregate scale, De Giorgi and Legg (2012) show that probability weighting is useful in generating a large equity premium -and can do so independently of loss aversion (Benartzi and Thaler (1995)).…”
Section: Introductionmentioning
confidence: 99%