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No Arbitrage and Arbitrage Pricing: A New Approach

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Author Info
 Bansal, Ravi
Viswanathan, S

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Abstract

The authors argue that arbitrage pricing theories (APT) imply the existence of a low-dimensional nonnegative nonlinear pricing kernel. In contrast to standard constructs of the APT, they do not assume a linear factor structure on the payoffs. This allows the authors to price both primitive and derivative securities. Seminonparametric techniques are used to estimate the pricing kernel and test the theory. Empirical results using size-based portfolio returns and yields on bonds reject the nested capital asset pricing model and linear APT and support the nonlinear APT. Diagnostics show that the nonlinear model is more capable of explaining variations in small firm returns. Copyright 1993 by American Finance Association.

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Article provided by American Finance Association in its journal Journal of Finance.

Volume (Year): 48 (1993)
Issue (Month): 4 (September)
Pages: 1231-62
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Handle: RePEc:bla:jfinan:v:48:y:1993:i:4:p:1231-62

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  1. Patrick Gagliardini & C. Gourieroux & E. Renault, 2005. "Efficient Derivative Pricing by Extended Method of Moments," University of St. Gallen Department of Economics working paper series 2005 2005-05, Department of Economics, University of St. Gallen. [Downloadable!]
  2. Chen, Kim Heng & Jandhyala, Venkata K. & Fotopoulos, Stergios B., 2005. "Nonlinear Properties of Multifactor Financial Models," Review of Applied Economics, Review of Applied Economics, vol. 1(2). [Downloadable!]
  3. Steve Satchell, 1999. "The Small Noise Arbitrage Pricing Theory," Research Paper Series 4, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  4. Eric Ghysels, 1995. "On Stable Factor Structures in the Pricing of Risk," CIRANO Working Papers 95s-16, CIRANO. [Downloadable!]
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  5. Zhenyu Wang & Xiaoyan Zhang, 2006. "Empirical evaluation of asset pricing models: arbitrage and pricing errors over contingent claims," Staff Reports 265, Federal Reserve Bank of New York. [Downloadable!]
  6. Eric Ghysels & Serena Ng, 1998. "A Semi-Parametric Factor Model of Interest Rates and Tests of the Affine Term Structure," Boston College Working Papers in Economics 403, Boston College Department of Economics. [Downloadable!]
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  7. Ravi Jagannathan & Zhenyu Wang, 1996. "The conditional CAPM and the cross-section of expected returns," Staff Report 208, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  8. Eric Ghysels & Serena Ng, 1996. "A Semi-Parametric Factor Model for Interest Rates," CIRANO Working Papers 96s-18, CIRANO. [Downloadable!]
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  9. Thierry Post & Haim Levy, 2002. "Does Risk Seeking drive Asset Prices?," Tinbergen Institute Discussion Papers 02-070/2, Tinbergen Institute. [Downloadable!]
  10. Joshua Rosenberg & Robert F. Engle, 2000. "Empirical Pricing Kernels," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-014, New York University, Leonard N. Stern School of Business-. [Downloadable!]
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  11. Han, Bin, 2004. "Limits of Arbitrage, Sentiment and Pricing Kernal: Evidences from Index Options," Working Paper Series 2004-2, Ohio State University, Charles A. Dice Center for Research in Financial Economics. [Downloadable!]
  12. Michael W. Brandt & Amir Yaron, 2003. "Time-Consistent No-Arbitrage Models of the Term Structure," NBER Working Papers 9458, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  13. Joshua Rosenberg, 1999. "Empirical Tests of Interest Rate Model Pricing Kernels," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-015, New York University, Leonard N. Stern School of Business-. [Downloadable!]
  14. Fousseni Chabi-Yo, 2006. "Conditioning Information and Variance Bounds on Pricing Kernels with Higher-Order Moments: Theory and Evidence," Working Papers 06-38, Bank of Canada. [Downloadable!]
  15. Gomes, Joao F & Yaron, Amir & Zhang, Lu, 2002. "Asset Pricing Implications of Firms' Financing Constraints," CEPR Discussion Papers 3495, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  16. René Garcia & Eric Ghysels & Éric Renault, 2004. "The Econometrics of Option Pricing," CIRANO Working Papers 2004s-04, CIRANO. [Downloadable!]
  17. Post, G.T. & Levy, H., 2002. "Does Risk Seeking Drive Asset Prices? A stochastic dominance analysis of aggregate investor preferences," Research Paper ERS-2002-50-F&A Revision_, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
  18. Heber Farnsworth & Wayne E. Ferson & David Jackson & Steven Todd, 2002. "Performance Evaluation with Stochastic Discount Factors," NBER Working Papers 8791, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  19. Wayne E. Ferson & Ravi Jagannathan, 1996. "Econometric evaluation of asset pricing models," Staff Report 206, Federal Reserve Bank of Minneapolis. [Downloadable!]
  20. Bing-Huei Lin & Jerry M. C. Wang, 2003. "Systematic skewness in asset pricing: an empirical examination of the Taiwan stock market," Applied Economics, Taylor and Francis Journals, vol. 35(17), pages 1877-1887, November. [Downloadable!] (restricted)
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