IDEAS home Printed from https://ideas.repec.org/a/taf/quantf/v16y2016i4p639-647.html
   My bibliography  Save this article

Optimal pricing barriers in a regulated market using reflected diffusion processes

Author

Listed:
  • Zheng Han
  • Yaozhong Hu
  • Chihoon Lee

Abstract

We consider a class of one-dimensional (1D) reflected stochastic differential equations (SDEs). Such reflected SDE models arise as the key approximating processes in a regulated financial market system, and our main goal is to determine the set of optimal pricing barriers. We consider the running cost associated with the deviation of the process from the desired target level, and also the control cost from the interventions in an effort to keep the process inside the boundaries. Both a long-time average (ergodic) cost criterion and an infinite horizon discount cost criterion, where the discount factor is allowed to vary from one period to another, are studied, with numerical examples illustrating our main results.

Suggested Citation

  • Zheng Han & Yaozhong Hu & Chihoon Lee, 2016. "Optimal pricing barriers in a regulated market using reflected diffusion processes," Quantitative Finance, Taylor & Francis Journals, vol. 16(4), pages 639-647, April.
    • Handle: RePEc:taf:quantf:v:16:y:2016:i:4:p:639-647
    DOI: 10.1080/14697688.2015.1034163
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/14697688.2015.1034163
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/14697688.2015.1034163?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. Lijun Bo & Yongjin Wang & Xuewei Yang, 2010. "Some integral functionals of reflected SDEs and their applications in finance," Quantitative Finance, Taylor & Francis Journals, vol. 11(3), pages 343-348.
    2. Qin Hu & Yongjin Wang & Xuewei Yang, 2012. "The Hitting Time Density for a Reflected Brownian Motion," Computational Economics, Springer;Society for Computational Economics, vol. 40(1), pages 1-18, June.
    3. Budhiraja, Amarjit & Lee, Chihoon, 2007. "Long time asymptotics for constrained diffusions in polyhedral domains," Stochastic Processes and their Applications, Elsevier, vol. 117(8), pages 1014-1036, August.
    4. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    5. Lijun Bo & Xindan Li & Yongjin Wang & Xuewei Yang, 2013. "On the conditional default probability in a regulated market with jump risk," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1967-1975, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bai, Yizhou & Xue, Cheng, 2021. "An empirical study on the regulated Chinese agricultural commodity futures market based on skew Ornstein-Uhlenbeck model," Research in International Business and Finance, Elsevier, vol. 57(C).
    2. Adams, Daniel & dos Reis, Gonçalo & Ravaille, Romain & Salkeld, William & Tugaut, Julian, 2022. "Large Deviations and Exit-times for reflected McKean–Vlasov equations with self-stabilising terms and superlinear drifts," Stochastic Processes and their Applications, Elsevier, vol. 146(C), pages 264-310.

    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. Ning Cai & Xuewei Yang, 2021. "A Computational Approach to First Passage Problems of Reflected Hyperexponential Jump Diffusion Processes," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 216-229, January.
    2. Bai, Yizhou & Xue, Cheng, 2021. "An empirical study on the regulated Chinese agricultural commodity futures market based on skew Ornstein-Uhlenbeck model," Research in International Business and Finance, Elsevier, vol. 57(C).
    3. Yaozhong Hu & Chihoon Lee & Myung Lee & Jian Song, 2015. "Parameter estimation for reflected Ornstein–Uhlenbeck processes with discrete observations," Statistical Inference for Stochastic Processes, Springer, vol. 18(3), pages 279-291, October.
    4. Xindan Li & Dan Tang & Yongjin Wang & Xuewei Yang, 2014. "Optimal processing rate and buffer size of a jump-diffusion processing system," Annals of Operations Research, Springer, vol. 217(1), pages 319-335, June.
    5. Flandreau, Marc & Komlos, John, 2006. "Target zones in theory and history: Credibility, efficiency, and policy autonomy," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1979-1995, November.
    6. Tejada, César A. O. & Portugal, Marcelo S., 2002. "Credibility and Reputation: An Application of the External Circumstances Model for the Real Plan," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 56(4), October.
    7. Eyal Neuman & Alexander Schied, 2018. "Protecting Pegged Currency Markets from Speculative Investors," Papers 1801.07784, arXiv.org, revised Feb 2021.
    8. Sutherland, Alan, 1995. "Monetary and real shocks and the optimal target zone," European Economic Review, Elsevier, vol. 39(1), pages 161-172, January.
    9. Ken Miyajima, 2013. "Foreign exchange intervention and expectation in emerging economies," BIS Working Papers 414, Bank for International Settlements.
    10. Seungwook Bahng, 2003. "Do Psychological Barriers Exist in the Stock Price Indices? Evidence from Asia's Emerging Markets," International Area Studies Review, Center for International Area Studies, Hankuk University of Foreign Studies, vol. 6(1), pages 35-52, March.
    11. Maurice Obstfeld & Jay C. Shambaugh & Alan M. Taylor, 2005. "The Trilemma in History: Tradeoffs Among Exchange Rates, Monetary Policies, and Capital Mobility," The Review of Economics and Statistics, MIT Press, vol. 87(3), pages 423-438, August.
    12. Ulf Söderström & Alexis Stenfors, 1995. "Explaining devaluation expectations in the EMS," Finnish Economic Papers, Finnish Economic Association, vol. 8(2), pages 63-81, Autumn.
    13. Jukka Isohätälä & Alistair Milne & Donald Robertson, 2020. "The Net Worth Trap: Investment and Output Dynamics in the Presence of Financing Constraints," Mathematics, MDPI, vol. 8(8), pages 1-32, August.
    14. Chen Yu-Fu & Funke Michael & Glanemann Nicole, 2013. "Off-the-record target zones: theory with an application to Hong Kong’s currency board," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 17(4), pages 373-393, September.
    15. Daniel Laskar, 1997. ""Incohérence temporelle" de la politique monétaire optimale. Un argument en faveur des zones cibles," Revue Économique, Programme National Persée, vol. 48(1), pages 5-22.
    16. Arai, Yoichi, 2016. "Testing For Linearity In Regressions With I(1) Processes," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 57(1), pages 111-138, June.
    17. Darvas, Zsolt, 1999. "Az árfolyamsávok empirikus modelljei és a devizaárfolyam sávon belüli előrejelezhetetlensége [Empirical models of exchange rate target zones]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(6), pages 507-529.
    18. Malz, Allan M., 1996. "Using option prices to estimate realignment probabilities in the European Monetary System: the case of sterling-mark," Journal of International Money and Finance, Elsevier, vol. 15(5), pages 717-748, October.
    19. John H. Rogers, 1995. "Real shocks and real exchange rates in really long-term data," International Finance Discussion Papers 493, Board of Governors of the Federal Reserve System (U.S.).
    20. Francisco Ledesma-Rodriguez & Manuel Navarro-Ibanez & Jorge Perez-Rodriguez & Simon Sosvilla-Rivero, 2000. "On the Credibility of the Irish Pound in the EMS," The Economic and Social Review, Economic and Social Studies, vol. 31(2), pages 151-172.

    More about this item

    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:taf:quantf:v:16:y:2016:i:4:p:639-647. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RQUF20 .

    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.