IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v333y2018icp460-466.html
   My bibliography  Save this article

New candidates for arbitrage-free stock price models via generalized conditional symmetry method

Author

Listed:
  • Cimpoiasu, Rodica

Abstract

In this paper a new perspective upon generating arbitrage-free stock price models is proposed. The generalized conditional symmetry (GCS) method is applied to the governing second order (1+1) partial differential equation which does contain a rational parameter p drawn from the interval [12,1]. We investigate the conditions that yield the concerned equation admitting a special class of second-order GCSs. The determining system is solved in several special cases and, from invariance surface condition associated to each of the GCS operator, for all values of p, some invariant solutions are pointed out. New candidate models for arbitrage-free stock price are derived.

Suggested Citation

  • Cimpoiasu, Rodica, 2018. "New candidates for arbitrage-free stock price models via generalized conditional symmetry method," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 460-466.
    • Handle: RePEc:eee:apmaco:v:333:y:2018:i:c:p:460-466
    DOI: 10.1016/j.amc.2018.03.115
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318302960
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.03.115?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    2. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    3. Feng, Wei & Ji, Lina, 2013. "Conditional Lie–Bäcklund symmetries and functionally separable solutions of the generalized inhomogeneous nonlinear diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 618-627.
    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. Peter Carr & Liuren Wu, 2014. "Static Hedging of Standard Options," The Journal of Financial Econometrics, Society for Financial Econometrics, vol. 12(1), pages 3-46.
    2. Sergio Zúñiga, 1999. "Modelos de Tasas de Interés en Chile: Una Revisión," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 36(108), pages 875-893.
    3. Sandrine Lardic & Claire Gauthier, 2003. "Un modèle multifactoriel des spreads de crédit : estimation sur panels complets et incomplets," Économie et Prévision, Programme National Persée, vol. 159(3), pages 53-69.
    4. René Garcia & Richard Luger & Eric Renault, 2000. "Asymmetric Smiles, Leverage Effects and Structural Parameters," Working Papers 2000-57, Center for Research in Economics and Statistics.
    5. Bettis, J. Carr & Bizjak, John & Coles, Jeffrey L. & Kalpathy, Swaminathan, 2018. "Performance-vesting provisions in executive compensation," Journal of Accounting and Economics, Elsevier, vol. 66(1), pages 194-221.
    6. Hi Jun Choe & Jeong Ho Chu & So Jeong Shin, 2014. "Recombining binomial tree for constant elasticity of variance process," Papers 1410.5955, arXiv.org.
    7. Rodriguez, Ricardo J., 2002. "Lognormal option pricing for arbitrary underlying assets: a synthesis," The Quarterly Review of Economics and Finance, Elsevier, vol. 42(3), pages 577-586.
    8. Monteiro, Ana Margarida & Tutuncu, Reha H. & Vicente, Luis N., 2008. "Recovering risk-neutral probability density functions from options prices using cubic splines and ensuring nonnegativity," European Journal of Operational Research, Elsevier, vol. 187(2), pages 525-542, June.
    9. Shuang Xiao & Guo Li & Yunjing Jia, 2017. "Estimating the Constant Elasticity of Variance Model with Data-Driven Markov Chain Monte Carlo Methods," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(01), pages 1-23, February.
    10. Andrea Pascucci & Marco Di Francesco, 2005. "On the complete model with stochastic volatility by Hobson and Rogers," Finance 0503013, University Library of Munich, Germany.
    11. Chiara D'Alpaos & Cesare Dosi & Michele Moretto, 2005. "Concession lenght and investment timing flexibility," Working Papers ubs0502, University of Brescia, Department of Economics.
    12. Panagiotidis, Theodore & Printzis, Panagiotis, 2020. "What is the investment loss due to uncertainty?," Global Finance Journal, Elsevier, vol. 45(C).
    13. Iglesias Vázquez, E.M. & Arranz Pérez, M., 2001. "Análisis de las relaciones entre el tipo de interés a corto plazo y su incertidumbre en Alemania, España y Suiza," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 19, pages 37-47, Diciembre.
    14. Carpenter, Jennifer N., 1998. "The exercise and valuation of executive stock options," Journal of Financial Economics, Elsevier, vol. 48(2), pages 127-158, May.
    15. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    16. Gast¨®n S. Milanesi & Emilio El Alabi & Gabriela Pesce, 2015. "Continuity or Liquidation in Situations of Ambiguity: Fuzzy Binomial Model to Valuate Leveraged Firms," Research in Applied Economics, Macrothink Institute, vol. 7(1), pages 26-47, March.
    17. Robert J. Ritchey, 1990. "Call Option Valuation For Discrete Normal Mixtures," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(4), pages 285-296, December.
    18. Jérôme Detemple, 2014. "Optimal Exercise for Derivative Securities," Annual Review of Financial Economics, Annual Reviews, vol. 6(1), pages 459-487, December.
    19. Sanjay K. Nawalkha & Xiaoyang Zhuo, 2020. "A Theory of Equivalent Expectation Measures for Contingent Claim Returns," Papers 2006.15312, arXiv.org, revised May 2022.
    20. Jin Zhang & Yi Xiang, 2008. "The implied volatility smirk," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 263-284.

    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:eee:apmaco:v:333:y:2018:i:c:p:460-466. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.