IDEAS home Printed from https://ideas.repec.org/p/cdl/ucsdec/qt78k062ns.html
   My bibliography  Save this paper

Optimal Measure Preserving Derivatives

Author

Listed:
  • Beare, Brendan K.

Abstract

We consider writing a derivative contract on some underlying asset in such a way that the derivative contract and underlying asset yield the same payo� distribution after one time period. Using the Hardy-Littlewood rearrangement inequality, we obtain an explicit solution for the cheapest measure preserving derivative contract in terms of the payo� distribution and pricing kernel of the underlying asset. We develop asymptotic theory for the behavior of an estimated optimal derivative contract formed from estimates of the pricing kernel and underlying measure. Our optimal derivative corresponds to a direct investment in the underlying asset if and only if the pricing kernel is monotone decreasing. When the pricing kernel is not monotone decreasing, an investment of one monetary unit in our optimal derivative yields a payo� distribution that �rst-order stochastically dominates an investment of one monetary unit in the underlying asset. Recent empirical research suggests that the pricing kernel corresponding to a major US market index is not monotone decreasing

Suggested Citation

  • Beare, Brendan K., 2010. "Optimal Measure Preserving Derivatives," University of California at San Diego, Economics Working Paper Series qt78k062ns, Department of Economics, UC San Diego.
  • Handle: RePEc:cdl:ucsdec:qt78k062ns
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/78k062ns.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
    2. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    3. Beare, Brendan K., 2009. "Distributional Replication," University of California at San Diego, Economics Working Paper Series qt65k3m6x9, Department of Economics, UC San Diego.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Beare, Brendan K., 2011. "Measure preserving derivatives and the pricing kernel puzzle," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 689-697.
    2. Lamia Kandil & Hélène Perivier, 2017. "La division sexuée du travail dans les couples selon le statut marital en France - une étude à partir des enquêtes emploi du temps de 1985-1986, 1998-1999, et 2009-2010," Documents de Travail de l'OFCE 2017-03, Observatoire Francais des Conjonctures Economiques (OFCE).
    3. Thomas F. Crossley & Hamish W. Low, 2011. "Is The Elasticity Of Intertemporal Substitution Constant?," Journal of the European Economic Association, European Economic Association, vol. 9(1), pages 87-105, February.
    4. Michelle Sheran Sylvester, 2007. "The Career and Family Choices of Women: A Dynamic Analysis of Labor Force Participation, Schooling, Marriage and Fertility Decisions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(3), pages 367-399, July.
    5. Kota Ogasawara & Mizuki Komura, 2022. "Consequences of war: Japan’s demographic transition and the marriage market," Journal of Population Economics, Springer;European Society for Population Economics, vol. 35(3), pages 1037-1069, July.
    6. Sonia Oreffice & Climent Quintana-Domeque, 2012. "A Matter of Weight? The Role of Spouses. Physical Attractiveness on Hours of Work," CHILD Working Papers Series 7, Centre for Household, Income, Labour and Demographic Economics (CHILD) - CCA.
    7. Choi, Eleanor Jawon & Choi, Jaewoo & Son, Hyelim, 2020. "The long-term effects of labor market entry in a recession: Evidence from the Asian financial crisis," Labour Economics, Elsevier, vol. 67(C).
    8. Klumpp, Tilman & Su, Xuejuan, 2013. "Second-order statistical discrimination," Journal of Public Economics, Elsevier, vol. 97(C), pages 108-116.
    9. Marins, Jaqueline Terra Moura & Vicente, José Valentim Machado, 2017. "Do the central bank actions reduce interest rate volatility?," Economic Modelling, Elsevier, vol. 65(C), pages 129-137.
    10. Rania Gihleb & Osnat Lifshitz, 2022. "Dynamic Effects of Educational Assortative Mating on Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 302-327, October.
    11. Cristian Bartolucci & Francesco Devicienti, 2012. "Better Workers Move to Better Firms: A Simple Test to Identify Sorting," Carlo Alberto Notebooks 259, Collegio Carlo Alberto.
    12. Steven N. Durlauf & Ananth Seshadri, 2003. "Is assortative matching efficient?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 475-493, March.
    13. Aldasoro, Iñaki & Delli Gatti, Domenico & Faia, Ester, 2017. "Bank networks: Contagion, systemic risk and prudential policy," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 164-188.
    14. Miriam Marcén & Marina Morales, 2019. "Live together: does culture matter?," Review of Economics of the Household, Springer, vol. 17(2), pages 671-713, June.
    15. Evan J. Miller-Tait & Sandeep Mohapatra & M. K. (Marty) Luckert & Brent M. Swallow, 2019. "Processing technologies for undervalued grains in rural India: on target to help the poor?," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 11(1), pages 151-166, February.
    16. Eugene Choo & Shannon Seitz & Aloysius Siow, 2008. "The Collective Marriage Matching Model: Identification, Estimation and Testing," Working Papers tecipa-340, University of Toronto, Department of Economics.
    17. Lepinteur, Anthony & Flèche, Sarah & Powdthavee, Nattavudh, 2016. "My Baby Takes the Morning Train: Gender Identity, Fairness, and Relative Labor Supply Within Households," IZA Discussion Papers 10382, Institute of Labor Economics (IZA).
    18. Bertocchi, Graziella & Brunetti, Marianna & Torricelli, Costanza, 2014. "Who holds the purse strings within the household? The determinants of intra-family decision making," Journal of Economic Behavior & Organization, Elsevier, vol. 101(C), pages 65-86.
    19. Lones Smith & Axel Anderson, 2002. "Assortative Matching, Reputation, and the Beatles Break-Up," Game Theory and Information 0201002, University Library of Munich, Germany.
    20. Christoffersen, Peter & Heston, Steven & Jacobs, Kris, 2010. "Option Anomalies and the Pricing Kernel," Working Papers 11-17, University of Pennsylvania, Wharton School, Weiss Center.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cdl:ucsdec:qt78k062ns. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/deucsus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.