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On the inefficiency of Brownian motions and heavier tailed price processes

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  • Alejandro Balbás

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  • Beatriz Balbás

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  • Raquel Balbás

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    Abstract

    Recent literature has shown the existence of pathologies if one combines the most important models for pricing and hedging derivatives and coherent risk measures. There may exist portfolios (good deals) whose (return; risk) is as close as desired to (1; ??1). This paper goes beyond existence properties and looks for explicit constructions and empirical tests. It will be shown that the good deal above may be a combination of European and digital options, very easy to replicate in practice. This theoretical nding will enable us to implement empirical experiments involving three international stock indices (S&P_500, Eurostoxx_50 and DAX) and three commodity futures (Gold, Brent and DJ ?? UBSCI). According to the empirical results, the good deal always outperforms the underlying index/commodity. The good deal is built in full compliance with the standard Derivative Pricing Theory. Properties of classical pricing models totally inspire and lead the good deal construction. This is a very interesting di¤erence with respect to previous literature attempting to outperform a benchmark. Besides, the selected pricing models satisfy the existence of risk neutral probabilities such that self- nancing price processes become martingales. According to recent results, while local martin- gales characterize the absence of arbitrage, martingales characterize the existence of equilibrium. However, this equilibrium is di¢ cult to imagine, because for every portfolio traders can build a new one with identical price, higher return and lower risk. Perhaps dynamic arbitrage free pricing models contradict other important achievements of Financial Economics related to e¢ ciency and equilibrium, and further research is required to recover consistency.

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    Bibliographic Info

    Paper provided by Universidad Carlos III, Instituto sobre Desarrollo Empresarial "Carmen Vidal Ballester" in its series Business Economics Working Papers with number id-13-01.

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    Date of creation: Apr 2013
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    Handle: RePEc:cte:idrepe:id-13-01

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    Keywords: Market efficiency; Derivative pricing; Risk measure; Good deal;

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    1. Anthony Neuberger, 2012. "Realized Skewness," Review of Financial Studies, Society for Financial Studies, vol. 25(11), pages 3423-3455.
    2. David Hirshleifer & Siew Hong Teoh & Jeff Jiewei Yu, 2011. "Short Arbitrage, Return Asymmetry, and the Accrual Anomaly," Review of Financial Studies, Society for Financial Studies, vol. 24(7), pages 2429-2461.
    3. R. Rockafellar & Stan Uryasev & Michael Zabarankin, 2006. "Generalized deviations in risk analysis," Finance and Stochastics, Springer, vol. 10(1), pages 51-74, 01.
    4. Dean Foster & Sergiu Hart, 2007. "An Operational Measure of Riskiness," Levine's Bibliography 843644000000000095, UCLA Department of Economics.
    5. Roberto Serrano & Robert J. Aumann, 2007. "An Economic Index Of Riskiness," Working Papers wp2007_0706, CEMFI.
    6. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    7. Dong-Hyun Ahn & Jacob Boudoukh & Matthew Richardson & Robert F. Whitelaw, 1999. "Optimal Risk Management Using Options," Journal of Finance, American Finance Association, vol. 54(1), pages 359-375, 02.
    8. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    9. W. Ogryczak & A. Ruszczynski, 1997. "From Stochastic Dominance to Mean-Risk Models: Semideviations as Risk Measures," Working Papers ir97027, International Institute for Applied Systems Analysis.
    10. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
    11. Peter Christoffersen & Vihang Errunza & Kris Jacobs & Hugues Langlois, 2012. "Is the Potential for International Diversification Disappearing? A Dynamic Copula Approach," Review of Financial Studies, Society for Financial Studies, vol. 25(12), pages 3711-3751.
    12. Turan G. Bali & Nusret Cakici & Fousseni Chabi-Yo, 2011. "A Generalized Measure of Riskiness," Management Science, INFORMS, vol. 57(8), pages 1406-1423, August.
    13. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    14. Jens Carsten Jackwerth & George M. Constantinides & Michal Czerwonko & Stylianos Perrakis, 2008. "Are Options on Index Futures Profitable for Risk Averse Investors? Empirical Evidence," CoFE Discussion Paper 08-08, Center of Finance and Econometrics, University of Konstanz.
    15. Annaert, Jan & Osselaer, Sofieke Van & Verstraete, Bert, 2009. "Performance evaluation of portfolio insurance strategies using stochastic dominance criteria," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 272-280, February.
    16. Green, Jerry, 1977. "The Non-existence of Informational Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 451-63, October.
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