-
[Abramowitz]
Milton Abramowitz, Irene A. Stegun. Handbook of Mathematical Functions.
-
[Andersen1998]
Leif Andersen, Jesper Andreasen. Volatility Skews and Extensions of the Libor
Market Model. August 1998.
-
[Andersen1999]
Leif Andersen. A Simple Approach to the Pricing of Bermudian Swaptions in the
Multi-Factor Libor Market Model. March, 1999.
-
[Andersen2001]
Extended Libor Market Models with Stochastic Volatility. 2001.
-
[Andersen2005]
Leif Andersen. Discount Curve Construction with Tension Splines. December
2005.
-
[Andersen2007]
Leif Andersen. Efficient Simulation of the Heston Stochastic Volatility Model.
January 2007.
-
[AndersenOnLine]
Leif Andersen's lecture notes on Credit Modelling at NYU Math Department's
web-site.
-
[Antonov2006]
A. Antonov, T. Misirpashaev. Markovian Projection onto a Displaced Diffusion:
Generic Formulas with Applications. October 9, 2006.
-
[Antonov2006a]
A. Antonov, T. Misirpashaev. Efficient Calibration to FX Options by Markovian
Projection in Cross-Currency LIBOR Market Models. October 10, 2006.
-
[Antonov2007]
A. Antonov, T. Misirpashaev, V. Piterbarg. Markovian Projection onto a Heston
Model. June 2007.
-
[Avellaneda1995]
M. Avellaneda, A. Levy, A.Paras. Pricing and Hedging Derivatives Securities in
Markets with Uncertain Volatilities. 1995.
-
[CarrWu2006]
Gurdip Bakshi, Peter Carr, Liuren Wu. Stochastic Risk Premiums, Stochastic
Skewness in Currnecy Options, and Stochastic Discount Factors in International
Economies. December 2006.
-
[AvellanedaLawrence]
Marco Avellaneda, Peter Lawrence. Quantitative Modelling of Derivative
Securities. CRC Press, 1999.
-
[Bensoussan]
A. Bensoussan, J.L. Lions. Applications of Variational Inequalities in
Stochastic Control.
-
[Bertoin]
Jean Bertoin. Levy Processes.
-
[Bertsekas2003]
Dimitri P. Bertsekas. Convex Analysis and Optimization.
-
[Bielecki]
Tomasz R. Bielecki, Marek Rutkowski. Credit Risk: Modeling, Valuation and
Hedging.
-
[Brenner]
Susanne C. Brenner, L.Ridgway Scott. The Mathematical Theory of Finite Element
Methods.
-
[Boost]
Boost C++ library, http://www.boost.org/ .
-
[Calamos]
Nick P. Calamos. Convertible Arbitrage.
-
[Casella]
George Casella, Roger L. Berger. Statistical Inference.
-
[CarrMadan2000]
Peter Carr, Helyette Geman, Dilip B. Madan. Pricing and hedging in incomplete
markets. 2000.
-
[CarrMadan1998]
Dilip B. Madan, Peter Carr, Eric C. Chang. The Variance Gamma Process and
Option Pricing. 1998.
-
[CarrMadan1999]
Peter Carr, Dilip Madan. Option valuation using the fast Fourier transform.
1999.
-
[CarrWu2002]
Peter Carr, Liuren Wu. Time-changed Levy processes and option pricing. 2002.
-
[CarrWu2002a]
Peter Carr, Helyette German, Dilip Madan, Marc Yor. Stochastic Volatility for
Levy Processes. 2002.
-
[CarrWu2006a]
Peter Carr, Liuren Wu. Theory and evidence on the dynamic interations between
sovereign credit default swaps and currency options. 2006.
-
[Cherny2006]
Pricing and Hedging in Incomplete Markets. Alexander Cherny, Dilip Madan.
2006.
-
[Chung]
Kai Lai Chung. A Course in Probability Theory.
-
[Cohen]
Albert Cohen, Ingrid Daubechies, Pierre Vial. Wavelets on the Interval and
Fast Wavelet Transforms, 1993.
-
[Duffie1999]
Transform Analysis and Asset Pricing for Affine Jump-Diffusions. 1999.
-
[Daubechies1992]
Ingrid Daubechies, Jeffrey C. Lagarias. Two-Scale Difference Equations II.
Local Regularity, Infinite Products of Matrices and Fractals.
-
[Edwards]
R.E.Edwards. Functional Analysis, Theory and Applications.
-
[Erdelyi]
A.Erdelyi. Asymptotic expansions.
-
[Evans]
Lawrence C. Evans. Partial Differential Equations.
-
[Gatheral]
Jim Gatheral. The Volatility Surface. A Practicioner's Guide.
-
[Gautschi]
Walter Gautschi. Orthogonal Polynomials. Computation and Approximation.
-
[Gelman]
Andrew Gelman, John B. Carlin, Hal S. Stern and Donald B. Rubin. Bayesian Data
Analysis.
-
[Gikhman]
I.I. Gikhman, A.V. Skorohod. Introduction to theory of stochastic processes.
-
[Glasserman]
Paul Glasserman. Monte Carlo Methods in Financial Engineering.
-
[Hamilton]
James D. Hamilton. Time Series Analysis.
-
[Haug]
The Complete Guide to Option Pricing Formulas.
-
[Hull]
John C. Hull. Options, Futures and Other Derivatives.
-
[Haykin]
Kalman Filtering and Neural Networks. Edited by Simon Haykin.
-
[Karatzas1]
Ioannis Karatzas, Steven E. Shreve. Brownian Motion and Stochastic Calculus.
-
[Karatzas2]
Ioannis Karatzas, Steven E. Shreve. Methods of Mathematical Finance.
-
[Kohn]
Prof. Robert V. Khon's teaching web-site.
-
[Kolmogorov]
A.N. Kolmogorov, S.V. Fomin. Elements of Function Theory and Functional
Analysis.
-
[Lamberton]
Damien Lamberton, Bernard Lapeyre. Introduction to Stochastic Calculus Applied
to Finance.
-
[Lemarie]
P.G. Lemarie and G. Malgouyers, Supports des fonctions de base dans une
analyse multiresolution, C.R.Acad.Sci. Paris 313 (1991), 377-380.
-
[Lewis]
Alan L. Lewis. Option Valuation under Stochastic Volatility.
-
[Longstaff]
Francis A. Longstaff, Eduardo S. Schwartz. Valuing American Options by
Simulations: A simple Least-Squares Approach. 2001.
-
[Mallat]
Stephane Mallat. A wavelet tour of signal processing. The sparse way.
-
[Marchuk]
G.I. Marchuk. Methods of Computational Mathematics.
-
[Mercurio]
Damiano Brigo, Fabio Mercurio. Interest Rate Models. Theory and Practice.
-
[Meyer]
Ondelettes due l'intervalle, Rev. Mat. Iberoamericana 7, (1992), 115-133.
-
[Musiela]
Marek Musiela, Marek Rutkowski. Martingale Methods in Financial Modelling.
-
[Nielsen]
Lars Tyge Nielsen. Pricing and Hedging of Derivative Securities. Oxford
University Press. 1999.
-
[Numerical]
William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery.
Numerical Recipes in C.
-
[Oksendal]
Bernt Oksendal. Stochastic Differential Equations.
-
[OswaldOnline]
Dr. Peter Oswald's personal webpage at
http://www.faculty.iu-bremen.de/poswald/
-
[PetersdorffSchwab]
Numerical Solution of Parabolic Equations in High Dimensions.
-
[Piterbarg2003]
Vladimir V. Piterbarg. Mixture of Models: A simple recipe for hangover? July
2003.
-
[Piterbarg2003a]
Vladimir V. Piterbarg. A stochastic volatility forward libor model with a term
structure of volatility smiles. October 2003.
-
[Piterbarg2003b]
Vladimir V. Piterbarg. Computing Deltas of Callable Libor Exotics in Forward
Libor Models. January 2003.
-
[Piterbarg2005]
Vladimir V. Piterbarg. A Multi-Currency Model with FX Volatility Skew.
February 2005.
-
[Piterbarg2005a]
Vladimir V. Piterbarg. Pricing and hedging callable Libor exotics in forward
Libor models. 2005
-
[Piterbarg2006]
Vladimir Piterbarg. Markovian Projection Method for Volatility Calibration.
May 2006.
-
[Rebonato]
Riccardo Rebonato. Interest-Rate Option Models.
-
[RevuzYor]
Daniel Revuz, Marc Yor. Continuous Martingales and Brownian Motion.
-
[Rockafellar]
R.Tyrrell Rockafellar. Convex Analysis.
-
[Royden]
Royden. Real Variable.
-
[Schewchuk]
Jonathan Richard Schewchuk. Introduction to Conjugate Gradient Method Without
Agonizing Pain. 1994.
-
[Shreve]
Steven E. Shreve. Stochastic Calculus for Finance II. Continuous-Time Models.
-
[ShreveOnLine]
Steven Shreve's on-line notes on Math. Finance.
-
[Sveshnikov]
A. Sveshnikov & A. Tikhonov. The Theory of Functions of a Complex
Variable.
-
[Tavakoli]
Janet M. Tavakoli. Credit Derivatives and Synthetic Structures.
-
[Thomee]
Vidar Thomee. Galerkin Finite Element Methods for Parabolic Problems.
-
[Vladimirov]
Equations of Mathematical Physics.
-
[Walnut]
David F. Walnut. An Introduction to Wavelet Analysis.
-
[Wilmott123]
Paul Wilmott On Quantitative Finance. Volumes 1,2,3.
-
[Xu]
Jinchao Xu. Iterative methods by space decomposition and subspace correction.
1992.
-
[Yang]
Dennis Yang. Quantitative Strategies for Derivatives Trading. 2006.