This file is part of IDEAS , which uses RePEc data
[ Papers |
Articles |
Software |
Books |
Chapters |
Authors |
Institutions |
JEL Classification |
NEP reports |
Search |
New papers by email |
Author registration |
Rankings |
Volunteers |
FAQ |
Blog |
Help! ]
Volatility skews and extensions of the Libor market model Author info | Abstract | Publisher info | Download info | Related research | Statistics Leif Andersen, Jesper Andreasen
The paper considers extensions of the Libor market model to markets with volatility skews in observable option prices. The family of forward rate processes is expanded to include diffusions with non-linear forward rate dependence, and efficient techniques for calibration to quoted prices of caps and swaptions are discussed. Special emphasis is put on generalized CEV processes for which closed-form expressions for cap and swaption prices are derived. Modifications of the CEV process which exhibit more appealing growth and boundary characteristics are also discussed. The proposed models are investigated numerically through CrankNicholson finite difference schemes and Monte Carlo simulations.
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
page . Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Article provided by Taylor and Francis Journals in its journal Applied Mathematical Finance .
Volume (Year): 7 (2000)
Issue (Month): 1 (March)
Pages: 1-32
Download reference. The following formats are available: HTML
(with abstract ),
plain text
(with abstract ),
BibTeX ,
RIS (EndNote, RefMan, ProCite),
ReDIF
Handle: RePEc:taf:apmtfi:v:7:y:2000:i:1:p:1-32Contact details of provider: Web page: http://taylorandfrancis.metapress.com/link.asp?target=journal&id=100141
Order Information: Web: http://www.tandf.co.uk/journals/subscription.html
For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).
Keywords: Libor Market Model Volatility Skews Observable Option Prices Cev Processes Crank-NICHOLSON Schemes Monte Carlo Simulation ; Other versions of this item:
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: Vasicek, Oldrich, 1977.
"An equilibrium characterization of the term structure ,"
Journal of Financial Economics ,
Elsevier, vol. 5(2), pages 177-188, November.
[Downloadable!] (restricted)
Heath, David & Jarrow, Robert & Morton, Andrew, 1992.
"Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation ,"
Econometrica ,
Econometric Society, vol. 60(1), pages 77-105, January.
[Downloadable!] (restricted)
Farshid Jamshidian, 1997.
"LIBOR and swap market models and measures (*) ,"
Finance and Stochastics ,
Springer, vol. 1(4), pages 293-330.
[Downloadable!] (restricted)
Jamshidian, Farshid, 1989.
" An Exact Bond Option Formula ,"
Journal of Finance ,
American Finance Association, vol. 44(1), pages 205-09, March.
[Downloadable!] (restricted)
Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985.
"A Theory of the Term Structure of Interest Rates ,"
Econometrica ,
Econometric Society, vol. 53(2), pages 385-407, March.
[Downloadable!] (restricted)
Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997.
" Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates ,"
Journal of Finance ,
American Finance Association, vol. 52(1), pages 409-30, March.
[Downloadable!] (restricted)
Other versions: Schroder, Mark Douglas, 1989.
" Computing the Constant Elasticity of Variance Option Pricing Formula ,"
Journal of Finance ,
American Finance Association, vol. 44(1), pages 211-19, March.
[Downloadable!] (restricted)
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.
[Downloadable!] (restricted)
Full
references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
Shane Miller & Eckhard Platen, 2004.
"A Two-Factor Model for Low Interest Rate Regimes ,"
Asia-Pacific Financial Markets ,
Springer, vol. 11(1), pages 107-133, March.
[Downloadable!] (restricted)
Other versions: Christian Zühlsdorff, 2002.
"The Pricing of Derivatives on Assets with Quadratic Volatility ,"
Bonn Econ Discussion Papers
bgse5_2002, University of Bonn, Germany.
[Downloadable!]
David Heath & Eckhard Platen, 2004.
"Local Volatility Function Models under a Benchmark Approach ,"
Research Paper Series
124, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Other versions: Svenstrup, Mikkel, 2003.
"On the Suboptimality of Single-Factor Exercise Strategies for Bermudan Swaptions ,"
Finance Working Papers
02-24, University of Aarhus, Aarhus School of Business, Department of Business Studies.
[Downloadable!]
Christian Zühlsdorff, 2002.
"Extended Libor Market Models with Affine and Quadratic Volatility ,"
Bonn Econ Discussion Papers
bgse6_2002, University of Bonn, Germany.
[Downloadable!]
Raoul Pietersz & Marcel van Regenmortel, 2005.
"Generic Market Models ,"
Finance
0502009, EconWPA.
[Downloadable!]
Other versions:
Pietersz, R. & Regenmortel, M. van, 2005.
"Generic Market Models ,"
Research Paper
ERS-2005-010-F&A Revision, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
[Downloadable!] Christian Zuhlsdorff, 2001.
"The pricing of derivatives on assets with quadratic volatility ,"
Applied Mathematical Finance ,
Taylor and Francis Journals, vol. 8(4), pages 235-262, December.
[Downloadable!] (restricted)
Li, Minqiang, 2008.
"A Damped Diffusion Framework for Financial Modeling and Closed-form Maximum Likelihood Estimation ,"
MPRA Paper
11185, University Library of Munich, Germany.
[Downloadable!]
Jensen, Malene Shin & Svenstrup, Mikkel, 2002.
"Efficient Control Variates and Strategies for Bermudan Swaptions in a Libor Market Model ,"
Finance Working Papers
02-23, University of Aarhus, Aarhus School of Business, Department of Business Studies.
[Downloadable!]
Feng Zhao & Robert Jarrow & Haitao Li, 2004.
"Interest Rate Caps Smile Too! But Can the LIBOR Market Models Capture It? ,"
Econometric Society 2004 North American Winter Meetings
431, Econometric Society.
[Downloadable!]
David Heath & Eckhard Platen, 2002.
"Consistent Pricing and Hedging for a Modified Constant Elasticity of Variance Model ,"
Research Paper Series
78, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Other versions: Eymen Errais & Fabio Mercurio, 2005.
"Yes, Libor Models can capture Interest Rate Derivatives Skew : A Simple Modelling Approach ,"
Computing in Economics and Finance 2005
192, Society for Computational Economics.
[Downloadable!]
Xavier Gabaix & Arvind Krishnamurthy & Olivier Vigneron, 2005.
"Limits of Arbitrage: Theory and Evidence from the Mortgage-Backed Securities Market ,"
NBER Working Papers
11851, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions:
Olivier Vigneron, & Xavier Gabaix & Arvind Krishnamurthy, 2004.
"Limits of Arbitrage: Theory and Evidence from the Mortgage-Backed Securities Market ,"
Econometric Society 2004 North American Summer Meetings
430, Econometric Society.
[Downloadable!] Xavier Gabaix & Arvind Krishnamurthy & Olivier Vigneron, 2007.
"Limits of Arbitrage: Theory and Evidence from the Mortgage-Backed Securities Market ,"
Journal of Finance ,
American Finance Association, vol. 62(2), pages 557-595, 04.
[Downloadable!] (restricted)
Access and
download statistics Did you know? Over 80% of the top 1000 economists are registered on RePEc.
This page was last updated on 2009-11-14.
This information is provided to you by IDEAS at the Department of Economics , College of Liberal Arts and Sciences , University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics .