IDEAS home Printed from https://ideas.repec.org/p/hhb/aarfin/2002_021.html
   My bibliography  Save this paper

Valuation of Path-Dependent Interest Rate Derivatives in a Finite Difference Setup

Author

Listed:

Abstract

In this paper we study and implement a finite difference version of the augmented state variable approach proposed by Hull & White (1993) that allows for pathdependent securities. We apply the method to a class of path-dependent interest rate derivatives and consider several examples including mortgage backed securities and collateralized mortgage obligations. The efficiency of the method is assessed in a comparative study with Monte Carlo simulation and we find it to be faster for a similar accuracy.

Suggested Citation

  • Svenstrup, Mikkel, 2003. "Valuation of Path-Dependent Interest Rate Derivatives in a Finite Difference Setup," Finance Working Papers 02-21, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    • Handle: RePEc:hhb:aarfin:2002_021
    as

    Download full text from publisher

    File URL: http://www.hha.dk/~MSV/pd.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stanton, Richard & Wallace, Nancy, 1999. "Anatomy of an ARM: The Interest-Rate Risk of Adjustable-Rate Mortgages," The Journal of Real Estate Finance and Economics, Springer, vol. 19(1), pages 49-67, July.
    2. repec:bla:jfinan:v:44:y:1989:i:2:p:375-92 is not listed on IDEAS
    3. Stanton, Richard, 1995. "Rational Prepayment and the Valuation Mortgage-Backed Securities," The Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 677-708.
    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. John Y. Campbell & João F. Cocco, 2003. "Household Risk Management and Optimal Mortgage Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1449-1494.
    2. John Y. Campbell, 2006. "Household Finance," Journal of Finance, American Finance Association, vol. 61(4), pages 1553-1604, August.
    3. Matteo Bissiri & Riccardo Cogo, 2017. "Behavioral Value Adjustments," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1-37, December.
    4. Christian Hilpert & Jing Li & Alexander Szimayer, 2014. "The Effect of Secondary Markets on Equity-Linked Life Insurance With Surrender Guarantees," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(4), pages 943-968, December.
    5. Michael LaCour-Little & Michael Marschoun & Clark L. Maxam, 2002. "Improving Parametric Mortgage Prepayment Models with Non-parametric Kernel Regression," Journal of Real Estate Research, American Real Estate Society, vol. 24(3), pages 299-328.
    6. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    7. Vink, Dennis, 2007. "An Empirical Analysis of Asset-Backed Securitization," MPRA Paper 10382, University Library of Munich, Germany, revised 25 Aug 2008.
    8. Ana Manola & Branko Uroševic, 2010. "Option-Based Valuation Of Mortgage-Backed Securities," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 55(186), pages 42-66, July – Se.
    9. Spiros H. Martzoukos & Theodore M. Barnhill Jr., 1998. "The Survival Zone For A Bond With Both Call And Put Options Embedded," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 21(4), pages 419-430, December.
    10. Stokes, Jeffrey R. & Brinch, Brian M., 2001. "Valuing Agricultural Mortgage-Backed Securities," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 33(3), pages 1-19, December.
    11. Francis A. Longstaff, 2004. "Optimal Recursive Refinancing and the Valuation of Mortgage-Backed Securities," NBER Working Papers 10422, National Bureau of Economic Research, Inc.
    12. Keys, Benjamin J. & Pope, Devin G. & Pope, Jaren C., 2016. "Failure to refinance," Journal of Financial Economics, Elsevier, vol. 122(3), pages 482-499.
    13. Duarte, Jefferson & Longstaff, Francis A. & Yu, Fan, 2005. "Risk and Return in Fixed Income Arbitage: Nickels in Front of a Steamroller?," University of California at Los Angeles, Anderson Graduate School of Management qt6zx6m7fp, Anderson Graduate School of Management, UCLA.
    14. Agarwal, Sumit & Ambrose, Brent W. & Chomsisengphet, Souphala & Liu, Chunlin, 2006. "An empirical analysis of home equity loan and line performance," Journal of Financial Intermediation, Elsevier, vol. 15(4), pages 444-469, October.
    15. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    16. Scott Robertson & Zhe Cheng, 2015. "Endogenous Current Coupons," Papers 1510.02010, arXiv.org.
    17. Cosma, Antonio & Galluccio, Stefano & Pederzoli, Paola & Scaillet, Olivier, 2020. "Early Exercise Decision in American Options with Dividends, Stochastic Volatility, and Jumps," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(1), pages 331-356, February.
    18. Werner Hürlimann, 2012. "Valuation of fixed and variable rate mortgages: binomial tree versus analytical approximations," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(2), pages 171-202, November.
    19. Fisher, Jack & Gavazza, Alessandro & Liu, Lu & Ramadorai, Tarun & Tripathy, Jagdish, 2024. "Refinancing cross-subsidies in the mortgage market," Journal of Financial Economics, Elsevier, vol. 158(C).
    20. Gene Amromin & Jennifer Huang & Clemens Sialm & Edward Zhong, 2018. "Complex Mortgages [Why don’t lenders renegotiate more home mortgages? Redefaults, self-cures, and securitization]," Review of Finance, European Finance Association, vol. 22(6), pages 1975-2007.

    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:hhb:aarfin:2002_021. 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: Helle Vinbaek Stenholt (email available below). General contact details of provider: https://edirc.repec.org/data/ifhhadk.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.