IDEAS home Printed from https://ideas.repec.org/a/spr/metcap/v6y2004i3d10.1023_bmcap.0000026563.27820.ff.html
   My bibliography  Save this article

Almost Sure Comparisons for First Passage Times of Diffusion Processes through Boundaries

Author

Listed:
  • L. Sacerdote

    (Università di Torino)

  • C. E. Smith

    (North Carolina State University)

Abstract

Conditions on the boundary and parameters that produce ordering in the first passage time distributions of two different diffusion processes are proved making use of comparison theorems for stochastic differential equations. Three applications of interest in stochastic modeling are presented: a sensitivity analysis for diffusion models characterized by means of first passage times, the comparison of different diffusion models where first passage times represent an important feature and the determination of upper and lower bounds for first passage time distributions.

Suggested Citation

  • L. Sacerdote & C. E. Smith, 2004. "Almost Sure Comparisons for First Passage Times of Diffusion Processes through Boundaries," Methodology and Computing in Applied Probability, Springer, vol. 6(3), pages 323-341, September.
    • Handle: RePEc:spr:metcap:v:6:y:2004:i:3:d:10.1023_b:mcap.0000026563.27820.ff
    DOI: 10.1023/B:MCAP.0000026563.27820.ff
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/B:MCAP.0000026563.27820.ff
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/B:MCAP.0000026563.27820.ff?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. Di Crescenzo, Antonio & Ricciardi, Luigi M., 1996. "Comparing first-passage times for semi-Markov skip-free processes," Statistics & Probability Letters, Elsevier, vol. 30(3), pages 247-256, October.
    2. Ball, Clifford A. & Roma, Antonio, 1993. "A jump diffusion model for the European monetary system," Journal of International Money and Finance, Elsevier, vol. 12(5), pages 475-492, October.
    3. Maria Teresa Giraudo & Laura Sacerdote & Cristina Zucca, 2001. "A Monte Carlo Method for the Simulation of First Passage Times of Diffusion Processes," Methodology and Computing in Applied Probability, Springer, vol. 3(2), pages 215-231, June.
    4. Li, Haijun & Shaked, Moshe, 1995. "On the first passage times for Markov processes with monotone convex transition kernels," Stochastic Processes and their Applications, Elsevier, vol. 58(2), pages 205-216, August.
    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. Jesús Rodríguez López & Hugo Rodríguez Mendizábal, 2003. "How Tight Should Central Bank’s Hands be Tied? Credibility, Volatility and the Optimal Band Width of a Target Zone," Economic Working Papers at Centro de Estudios Andaluces E2003/24, Centro de Estudios Andaluces.
    2. Melanie Cao & Batur Celik, 2021. "Valuation of bitcoin options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(7), pages 1007-1026, July.
    3. Engel, Charles & Hakkio, Craig S, 1996. "The Distribution of Exchange Rates in the EMS," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 1(1), pages 55-67, January.
    4. Dillen, Hans, 1997. "A model of the term structure of interest rates in an open economy with regime shifts1," Journal of International Money and Finance, Elsevier, vol. 16(5), pages 795-819, September.
    5. Virginia Giorno & Amelia G. Nobile, 2021. "On the First-Passage Time Problem for a Feller-Type Diffusion Process," Mathematics, MDPI, vol. 9(19), pages 1-27, October.
    6. Kam Fong Chan & Phil Gray & Zheyao Pan, 2021. "The profitability of trading on large Lévy jumps," International Review of Finance, International Review of Finance Ltd., vol. 21(2), pages 627-635, June.
    7. Marie Bessec, 2000. "Mean-Reversion versus PPP Adjustment: The Two Regimes of Exchange Rate Dynamics Under the EMS, 1979-1998," Econometric Society World Congress 2000 Contributed Papers 1305, Econometric Society.
    8. Manso, Gustavo, 2013. "Feedback effects of credit ratings," Journal of Financial Economics, Elsevier, vol. 109(2), pages 535-548.
    9. Gut, Allan & Hüsler, Jürg, 2005. "Realistic variation of shock models," Statistics & Probability Letters, Elsevier, vol. 74(2), pages 187-204, September.
    10. Ignacio Mauleon & Javier Perote, 2000. "Testing densities with financial data: an empirical comparison of the Edgeworth-Sargan density to the Student's t," The European Journal of Finance, Taylor & Francis Journals, vol. 6(2), pages 225-239.
    11. Emilio De Santis & Fabio Spizzichino, 2016. "Some Sufficient Conditions for Stochastic Comparisons Between Hitting Times for Skip-free Markov Chains," Methodology and Computing in Applied Probability, Springer, vol. 18(4), pages 1021-1034, December.
    12. Jesús Rodríguez López & Hugo Rodríguez Mendizábal, 2006. "How tight should one's hands be tied? Fear of floating and credibility of exchange regimes," Working Papers 06.03, Universidad Pablo de Olavide, Department of Economics.
    13. Bekaert, Geert & Gray, Stephen F., 1998. "Target zones and exchange rates:: An empirical investigation," Journal of International Economics, Elsevier, vol. 45(1), pages 1-35, June.
    14. Bessec, Marie, 2003. "Mean-reversion vs. adjustment to PPP: the two regimes of exchange rate dynamics under the EMS, 1979-1998," Economic Modelling, Elsevier, vol. 20(1), pages 141-164, January.
    15. Kane, Alex & Lehmann, Bruce N. & Trippi, Robert R., 2000. "Regularities in volatility and the price of risk following large stock market movements in the US and Japan," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 1-32, February.
    16. Jean-Sébastien Pentecôte & Thierry Roncalli, 1996. "Retour à la moyenne dans les cours du change du mécanisme de change européen : 1987-1995," Économie et Prévision, Programme National Persée, vol. 123(2), pages 189-205.
    17. Laopodis, N. T., 1998. "Asymmetric volatility spillovers in deutsche mark exchange rates," Journal of Multinational Financial Management, Elsevier, vol. 8(4), pages 413-430, November.
    18. Cho-Hoi Hui & Chi-Fai Lo, 2008. "A Note on Estimating Realignment Probabilities -- A First-Passage-Time Approach," Working Papers 0809, Hong Kong Monetary Authority.
    19. Sanghoon Lee, 2004. "Approximation of A Jump-Diffusion Process," Econometric Society 2004 Far Eastern Meetings 412, Econometric Society.
    20. Bernabe, Araceli & Martina, Esteban & Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos, 2004. "A multi-model approach for describing crude oil price dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 567-584.

    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:spr:metcap:v:6:y:2004:i:3:d:10.1023_b:mcap.0000026563.27820.ff. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.