IDEAS home Printed from
   My bibliography  Save this paper

An efficient lattice algorithm for the libor market model


  • Tim, Xiao


The LIBOR Market Model (LMM or BGM) has become one of the most popular models for pricing interest rate products. It is commonly believed that Monte-Carlo simulation is the only viable method available for the LIBOR Market Model. In this article, however, we propose a lattice approach to price interest rate products within the LIBOR Market Model by introducing a shifted forward measure and several novel fast drift approximation methods. This model should achieve the best performance without losing much accuracy. Moreover, the calibration is almost automatic and it is simple and easy to implement. Adding this model to the valuation toolkit is actually quite useful; especially for risk management or in the case there is a need for a quick turnaround.

Suggested Citation

  • Tim, Xiao, 2011. "An efficient lattice algorithm for the libor market model," MPRA Paper 32972, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:32972

    Download full text from publisher

    File URL:
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    1. Sonalde Desai & Veena Kulkarni, 2008. "Changing educational inequalities in india in the context of affirmative action," Demography, Springer;Population Association of America (PAA), vol. 45(2), pages 245-270, May.
    2. Daniele Checchi & Vito Peragine, 2010. "Inequality of opportunity in Italy," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 429-450, December.
    3. Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2011. "Measuring long-term inequality of opportunity," Journal of Public Economics, Elsevier, vol. 95(3), pages 193-204.
    4. Geeta Gandhi Kingdon & Nicolas Theopold, 2008. "Do returns to education matter to schooling participation? Evidence from India," Education Economics, Taylor & Francis Journals, vol. 16(4), pages 329-350.
    5. Rajindar Sachar & Saiyid Hamid & T.K. Oommen & M.A. Basith & Rakesh Basant & Akhtar Majeed & Abusaleh Shariff, 2006. "Social, Economic and Educational Status of the Muslim Community of India," Development Economics Working Papers 22136, East Asian Bureau of Economic Research.
    6. François Bourguignon & Francisco H. G. Ferreira & Marta Menéndez, 2007. "Inequality Of Opportunity In Brazil," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(4), pages 585-618, December.
    7. Kijima, Yoko, 2006. "Caste and Tribe Inequality: Evidence from India, 1983-1999," Economic Development and Cultural Change, University of Chicago Press, vol. 54(2), pages 369-404, January.
    8. Duraisamy, P., 2002. "Changes in returns to education in India, 1983-94: by gender, age-cohort and location," Economics of Education Review, Elsevier, vol. 21(6), pages 609-622, December.
    9. Ira N. Gang & Kunal Sen & Myeong-Su Yun, 2008. "Poverty In Rural India: Caste And Tribe," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(1), pages 50-70, March.
    10. Fleurbaey, Marc & Schokkaert, Erik, 2009. "Unfair inequalities in health and health care," Journal of Health Economics, Elsevier, vol. 28(1), pages 73-90, January.
    11. Vito Peragine, 2004. "Ranking Income Distributions According to Equality of Opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(1), pages 11-30, April.
    12. Francisco H. G. Ferreira & Jérémie Gignoux, 2011. "The Measurement Of Inequality Of Opportunity: Theory And An Application To Latin America," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(4), pages 622-657, December.
    13. Duraisamy, P., 2000. "Changes in Returns to Education in India, 1983-94: By Gender, Age-Cohort and Location," Papers 815, Yale - Economic Growth Center.
    14. P. Duraisamy, 2000. "Changes in Returns to Education in India, 1983-94: By Gender, Age-Cohort and Location," Working Papers 815, Economic Growth Center, Yale University.
    15. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    16. Checchi, Daniele & Peragine, Vito & Serlenga, Laura, 2010. "Fair and Unfair Income Inequalities in Europe," IZA Discussion Papers 5025, Institute for the Study of Labor (IZA).
    17. Fleurbaey Marc, 1995. "Three Solutions for the Compensation Problem," Journal of Economic Theory, Elsevier, vol. 65(2), pages 505-521, April.
    18. Ashish Singh, 2010. "The Effect of Family Background on Individual Wages and an Examination of Inequality of Opportunity in India," Journal of Labor Research, Springer, vol. 31(3), pages 230-246, September.
    19. Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. repec:eee:appene:v:211:y:2018:i:c:p:890-903 is not listed on IDEAS

    More about this item


    LIBOR Market Model; LMM; BGM; lattice model; tree model; shifted forward measure; drift approximation; risk management; calibration; callable exotics; callable bond; callable capped floater swap; callable inverse floater swap; callable range accrual swap;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:pra:mprapa:32972. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter) or (Rebekah McClure). General contact details of provider: .

    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.

    We have no references for this item. You can help adding them by using 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.