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Arbitrage and the Evaluation of Linear Factor Models in UK Stock Returns

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  • Jonathan Fletcher

Abstract

I examine the impact of the no arbitrage restriction on the estimation and evaluation of linear factor models in UK stock returns. The no arbitrage restriction reduces volatility and eliminates most of the negative values of the fitted stochastic discount factor models. All of the factor models are rejected and there are significant differences in the pricing performance between models under the no arbitrage restriction. The no arbitrage restriction can have a significant impact on both the parameter estimates and pricing errors for some models.

Suggested Citation

  • Jonathan Fletcher, 2010. "Arbitrage and the Evaluation of Linear Factor Models in UK Stock Returns," The Financial Review, Eastern Finance Association, vol. 45(2), pages 449-468, May.
    • Handle: RePEc:bla:finrev:v:45:y:2010:i:2:p:449-468
    DOI: 10.1111/j.1540-6288.2010.00255.x
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    Cited by:

    1. Catherine Georgiou, 2020. "The British Stock Market under the Structure of Market Capitalization Value: New Evidence on its Predictive Content," International Journal of Business and Economic Sciences Applied Research (IJBESAR), International Hellenic University (IHU), Kavala Campus, Greece (formerly Eastern Macedonia and Thrace Institute of Technology - EMaTTech), vol. 13(3), pages 56-69, December.
    2. Anderson, Keith & Brooks, Chris, 2014. "Speculative bubbles and the cross-sectional variation in stock returns," International Review of Financial Analysis, Elsevier, vol. 35(C), pages 20-31.
    3. Xu, Yuewu & Yao, Xiangkun, 2019. "Extending the Hansen–Jagannathan distance measure of model misspecification," Finance Research Letters, Elsevier, vol. 29(C), pages 384-392.
    4. Fletcher, Jonathan, 2014. "Benchmark models of expected returns in U.K. portfolio performance: An empirical investigation," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 30-46.
    5. Yuewu Xu, 2021. "A new measure of model misspecification with the no-arbitrage constraint: extending the second Hansen–Jagannathan distance," Review of Quantitative Finance and Accounting, Springer, vol. 56(3), pages 917-938, April.
    6. J. Davies & Jonathan Fletcher & Andrew Marshall, 2015. "Testing index-based models in U.K. stock returns," Review of Quantitative Finance and Accounting, Springer, vol. 45(2), pages 337-362, August.
    7. Kolari, James W. & Huang, Jianhua Z. & Butt, Hilal Anwar & Liao, Huiling, 2022. "International tests of the ZCAPM asset pricing model," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 79(C).
    8. Nikolay Gospodinov & Raymond Kan & Cesare Robotti, 2010. "On the Hansen-Jagannathan distance with a no-arbitrage constraint," FRB Atlanta Working Paper 2010-04, Federal Reserve Bank of Atlanta.
    9. Gregory, Alan & Hua, Shan & Tharyan, Rajesh, 2018. "In search of beta," The British Accounting Review, Elsevier, vol. 50(4), pages 425-441.

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