IDEAS home Printed from https://ideas.repec.org/p/inu/caeprp/2017005.html
   My bibliography  Save this paper

An Elementary Exposition of the No Strong Arbitrage Principle for Financial Markets

Author

Listed:
  • Robert A. Becker

    (Indiana University)

Abstract

A Linear Pricing Rule is established for the No Strong Arbitrate Principle (NSAP) in a finite state, single period asset pricing model. The (NSAP) condition is a statement about the inconsistency of a particular system of linear inequalities. The novelty here lies in the use of the Kuhn-Motzkin-Fourier elimination technique that derives the corresponding dual linear inequality system using elementary methods only. The advantage is that a familiar computational scheme yields the relationship between the (NSAP) inequalities and their dual system. Indeed, the method uncovers why the dual inequality system is, in fact, a dual system in the first place. Students and researchers unfamiliar with systems of dual linear inequalities and Theorems of the Alternative may find the approach taken here as a way to better understand the motivation and use of these techniques.

Suggested Citation

  • Robert A. Becker, 2017. "An Elementary Exposition of the No Strong Arbitrage Principle for Financial Markets," CAEPR Working Papers 2017-005, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    • Handle: RePEc:inu:caeprp:2017005
    as

    Download full text from publisher

    File URL: https://caepr.indiana.edu/RePEc/inu/caeprp/caepr2017-005.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 1.
    2. Bailey,Roy E., 2005. "The Economics of Financial Markets," Cambridge Books, Cambridge University Press, number 9780521612807.
    3. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 2.
    4. Varian, Hal R, 1987. "The Arbitrage Principle in Financial Economics," Journal of Economic Perspectives, American Economic Association, vol. 1(2), pages 55-72, Fall.
    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. Auguste, Sebastian & Dominguez, Kathryn M.E. & Kamil, Herman & Tesar, Linda L., 2006. "Cross-border trading as a mechanism for implicit capital flight: ADRs and the Argentine crisis," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1259-1295, October.
    2. Huang-Meier, Winifred & Freeman, Mark C., 2015. "Aggregate dividends and consumption smoothing," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 324-335.
    3. Michiel Bijlsma & Wouter Elsenburg & Michiel van Leuvensteijn, 2010. "Four Futures for Finance; A scenario study," CPB Document 211.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    4. Philip A. Stork, 2011. "The intertemporal mechanics of European stock price momentum," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 28(3), pages 217-232, August.
    5. Fuller, Kathleen P., 2003. "The impact of informed trading on dividend signaling: a theoretical and empirical examination," Journal of Corporate Finance, Elsevier, vol. 9(4), pages 385-407, September.
    6. Myint Moe Chit, 2018. "Political openness and the growth of small and medium enterprises: empirical evidence from transition economies," Empirical Economics, Springer, vol. 55(2), pages 781-804, September.
    7. Tamer Khraisha & Keren Arthur, 2018. "Can we have a general theory of financial innovation processes? A conceptual review," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 4(1), pages 1-27, December.
    8. Sang Byung Seo & Jessica A. Wachter, 2019. "Option Prices in a Model with Stochastic Disaster Risk," Management Science, INFORMS, vol. 65(8), pages 3449-3469, August.
    9. Lovric, M. & Kaymak, U. & Spronk, J., 2008. "A Conceptual Model of Investor Behavior," ERIM Report Series Research in Management ERS-2008-030-F&A, 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 University Rotterdam.
    10. Larrain, Borja, 2011. "World betas, consumption growth, and financial integration," Journal of International Money and Finance, Elsevier, vol. 30(6), pages 999-1018, October.
    11. Zeckhauser, Richard Jay & Tran, Ngoc-Khanh, 2011. "The Behavior of Savings and Asset Prices When Preferences and Beliefs are Heterogeneous," Scholarly Articles 5027955, Harvard Kennedy School of Government.
    12. Kobana Abukari & Isaac Otchere, 2020. "Dominance of hybrid contratum strategies over momentum and contrarian strategies: half a century of evidence," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(4), pages 471-505, December.
    13. Turk Ariss, Rima, 2010. "On the implications of market power in banking: Evidence from developing countries," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 765-775, April.
    14. Abraham Lioui, 2005. "Stochastic dividend yields and derivatives pricing in complete markets," Review of Derivatives Research, Springer, vol. 8(3), pages 151-175, December.
    15. Luo, Yulei & Young, Eric R., 2016. "Induced uncertainty, market price of risk, and the dynamics of consumption and wealth," Journal of Economic Theory, Elsevier, vol. 163(C), pages 1-41.
    16. Jiancai Pi & Yanwei Fan, 2022. "Financial frictions and wage inequality," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 1064-1074, January.
    17. Javier Alejo & Antonio Galvao & Gabriel Montes-Rojas & Walter Sosa-Escudero, 2015. "Tests for normality in linear panel-data models," Stata Journal, StataCorp LP, vol. 15(3), pages 822-832, September.
    18. Shraddha Mishra & Raj Kumar, 2016. "Investigation of overvalued and undervalued stocks: the case of BSE Sensex," International Journal of Business Excellence, Inderscience Enterprises Ltd, vol. 10(2), pages 177-189.
    19. Yu Chen & Thomas Cosimano & Alex Himonas, 2008. "Solving an asset pricing model with hybrid internal and external habits, and autocorrelated Gaussian shocks," Annals of Finance, Springer, vol. 4(3), pages 305-344, July.
    20. Wagner, Moritz & Lee, John Byong-Tek & Margaritis, Dimitris, 2022. "Mutual fund flows and seasonalities in stock returns," Journal of Banking & Finance, Elsevier, vol. 144(C).

    More about this item

    Keywords

    No Strong Arbitrage; arbitrage; Farkas Lemma; Kuhn-Motzkin-Fourier Elimination; state prices; linear inequalities;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    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:inu:caeprp:2017005. 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: Center for Applied Economics and Policy Research (email available below). General contact details of provider: https://edirc.repec.org/data/caeprus.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.