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Ernst Eberlein

Prof. Dr. Ernst Eberlein
 
Prof. Dr. Ernst Eberlein
Department of Mathematical Stochastics
University of Freiburg
Eckerstraße 1
D-79104 Freiburg
Germany

Tel.  +49 761 203 5660
Fax  +49 761 203 5661
e-mail  eberlein@stochastik.uni-freiburg.de
 

Research subjects

 
 
  Realistic modelling of financial markets
  Market and credit risk management
  Pricing and hedging of derivative products
  Statistical analysis of financial data
  Application of Lévy processes in finance
 

Related Institutions

 
 
  FRIAS: Freiburg Institute for Advanced Studies
  FDM: Freiburg Center for Data Analysis and Modeling
  Graduiertenkolleg: Nichtlineare Differentialgleichungen: Modellierung, Theorie, Numerik,Visualisierung
  Integrated Master Program: Master in Finance
  DYNSTOCH: Statistical methods for dynamical stochastic models
  Bachelier Finance Society
 

Editorial activities

 
 
  Co-Editor of Mathematical Finance since 2006
  Co-Editor of Applied Mathematical Finance since 2004
 

Recent PhD-subjects

 
 
  Realistic modelling of financial derivatives.
Ulrich Keller
  Semimartingale Modelling in Finance.
Jan Kallsen
  The generalized hyperbolic model: estimation, financial derivatives, and risk measures.
Karsten Prause
  Lévy processes in finance: theory, numerics, and empirical facts.
Sebastian Raible
  Lévy Processes in Credit Risk and Market Models.
Fehmi Özkan
  Time-inhomogeneous Lévy processes in interest rate and credit risk models.
Wolfgang Kluge
  Applications of semimartingales and Lévy processes in finance : duality and valuation.
Antonis Papapantoleon
  Credit risk in Lévy Libor Modeling: rating based approach.
Zorana Grbac
  Feynman-Kac-Darstellungen zur Optionspreisbewertung in Lévy-Modellen.
Kathrin Glau
  Generalized hyperbolic distributions: theory and applications to CDO pricing
Ernst August Frhr. v. Hammerstein
  Valuation of portfolio credit derivatives and data-based default prediction
Volker Pohl
 

Recent publications

 
 
  Bid and ask prices as non-linear continuous time G-expectations based on distortions. Preprint, University of Freiburg (2013) (with D. B. Madan, M. Pistorius and M. Yor) (pdf)
  Modeling risk weighted assets and the risk sensitivity of related capital requirements. Preprint, University of Freiburg (2012) (with D. B. Madan and W. Schoutens) (pdf)
  A simple stochastic rate model for rate equity hybrid products. Applied Mathematical Finance (2013) (to appear) (with D. Madan, M. Pistorius and M. Yor) (pdf)
  Two price economies in continuous time. Preprint, University of Freiburg (2012) (with D. Madan, M. Pistorius, W. Schoutens and M. Yor) (pdf)
  Discrete tenor models for credit risky portfolios driven by time-inhomogeneous Lévy processes. SIAM Journal on Financial Mathematics (2013) (to appear) (with Z. Grbac and T. Schmidt) (pdf)
  Fourier based valuation methods in mathematical finance. Preprint, University of Freiburg (2012) (pdf)
  Dealing with complex realities in financial modeling. Current Science 103 (6) (2012), 647–649 (with D. B. Madan) (pdf)
  Variational solutions of the pricing PIDEs for European options in Lévy models. Preprint, University of Freiburg (2013) (with K. Glau) (pdf)
  Capital requirements, the option surface, market, credit and liquidity risk. Preprint, University of Freiburg (2011) (with D. B. Madan and W. Schoutens) (pdf)
  Pricing to acceptability: with applications to valuation of one's own credit risk. The Journal of Risk 15 (1) (2012), 91–120 (with T. Gehrig and D. B. Madan) (pdf)
  On correlating Lévy processes. The Journal of Risk 13 (1) (2010), 3–16 (with D. B. Madan) (pdf)
  The distribution of returns at longer horizons. In Recent Advances in Financial Engineering 2010, M. Kijima, C. Hara, Y. Muromachi, H. Nakaoka, K. Nishide (eds.), World Scientific (2011), pp 1–18 (with D. B. Madan)
  Correlations in Lévy interest rate models. Quantitative Finance 11 (9) (2011), 1315–1327 (with M. Beinhofer, A. Janssen and M. Polley)
(http://dx.doi.org/10.1080/14697688.2010.542299)
  Rating based Lévy LIBOR model. Mathematical Finance (2011) (to appear) (with Z. Grbac) (pdf)
  Unbounded liabilities, capital reserve requirements and the taxpayer put option. Quantitative Finance 12 (5) (2012), 709–724 (with D. B. Madan) (pdf)
  Analyticity of the Wiener–Hopf factors and valuation of exotic options in Lévy models. In Advanced Mathematical Methods for Finance, G. Di Nunno and B. Øksendal (eds.), Springer (2011), pp 223–245 (with K. Glau and A. Papapantoleon) (pdf)
  Mathematik und die Finanzkrise. Spektrum der Wissenschaft 12/09 (2009), 92–100
  Maximally acceptable portfolios. Preprint, University of Freiburg (2009) (with D. B. Madan) (pdf)
  Generalized hyperbolic models. In Encyclopedia of Quantitative Finance, R. Cont (ed.), John Wiley & Sons Ltd. (2010), pp 833–836 (pdf)
The definitive version is available at www.wileyinterscience.com.
  Jump processes. In Encyclopedia of Quantitative Finance, R. Cont (ed.), John Wiley & Sons Ltd. (2010), pp 990–994 (pdf)
The definitive version is available at www.wileyinterscience.com.
  Hedge fund performance: sources and measures. International Journal of Theoretical and Applied Finance 12 (3) (2009), 267–282 (with D. B. Madan) (pdf)
  On pricing risky loans and collateralized fund obligations. The Journal of Credit Risk 5 (3) (2009), 1–18 (with H. Geman and D. B. Madan) (pdf)
  Short positions, rally fears and option markets. Applied Mathematical Finance 17 (1-2) (2010), 83-98 (with D. B. Madan) (pdf)
  Analysis of Fourier transform valuation formulas and applications. Applied Mathematical Finance 17(3) (2010), 211–240 (with K. Glau and A. Papapantoleon) (pdf)
Author Posting. (c) 'Taylor & Francis', 2009. This is the author's version of the work. It is posted here by permission of 'Taylor & Francis' for personal use, not for redistribution. The definitive version was published in Applied Mathematical Finance, , January 2010. doi:10.1080/13504860903326669 (http://dx.doi.org/10.1080/13504860903326669)
  Esscher transform and the duality principle for multidimensional semimartingales. The Annals of Applied Probability 19 (2009), 1944–1971 (with A. Papapantoleon and A. N. Shiryaev) (pdf)
  Advanced credit portfolio modeling and CDO pricing. In Mathematics – Key Technology for the Future, W. Jäger and H.-J. Krebs (eds.), Springer (2008), pp 253–280 (with R. Frey, E. A. von Hammerstein) (pdf)
  Jump-type Lévy processes. In Handbook of Financial Time Series, T. G. Andersen, R. A. Davis, J.-P. Kreiß, T. Mikosch, Springer Verlag (2009), pp 439–455 (pdf)
  Mathematics in financial risk management. Jahresbericht der Deutschen Mathematiker Vereinigung 109 (2007), pp. 165–193 (with R. Frey, M. Kalkbrener, L. Overbeck) (pdf)
  Sato processes and the valuation of structured products. Quantitative Finance 9 (1) (2009), 27–42 (with D. B. Madan) (pdf)
  Calibration of Lévy term structure models. In Advances in Mathematical Finance: In Honor of D. B. Madan, M. Fu, R. A. Jarrow, J.-Y. Yen, and R. J. Elliott (Eds.), Birkhäuser (2007), pp. 147–172 (joint with W. Kluge) (pdf)  
  On the duality principle in option pricing: semimartingale setting. Finance and Stochastics 12 (2) (2008), 265–292 (with A. Papapantoleon, A. N. Shiryaev) (pdf)
The original publication is available at www.springerlink.com.
  The Lévy swap market model. Applied Mathematical Finance 14 (2) (2007) 171–196 (with J. Liinev) (pdf)
This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in Applied Mathematical Finance, Volume 14 Issue 2, May 2007. doi:10.1080/13504860600724950 (http://dx.doi.org/10.1080/13504860600724950).
  The Lévy Libor model with default risk. Journal of Credit Risk 2 (2) (2006) 3–42 (with W. Kluge, P. J. Schönbucher) (pdf)  
A cross-currency Lévy market model. Quantitative Finance 6 (2006) 465–480 (with N. Koval) (pdf)
This is an electronic version of an article published in Quantitative Finance Vol 6 No. 6 (2006) 465–480. Quantitative Finance is available online at: http://www.journalsonline.tandf.co.uk/  
Symmetries in Lévy term structure models. International Journal of Theoretical and Applied Finance 9 (6) (2006) 967–986 (with W. Kluge and A. Papapantoleon) (pdf)  
  Symmetries and pricing of exotic options in Lévy models. In Exotic option pricing and advanced Lévy models, A. Kyprianou, W. Schoutens, P. Wilmott (Eds.), Wiley (2005), pp. 99–128 (with A. Papapantoleon) (pdf)  
  Valuation of floating range notes in Lévy term structure models. Mathematical Finance 16 (2006) 237–254 (with W. Kluge) (pdf)  
  Exact pricing formulae for caps and swaptions in a Lévy term structure model. Journal of Computational Finance 9 (2) (2006) 99–125 (with W. Kluge)
  Equivalence of floating and fixed strike Asian and lookback options. Stochastic Processes and Their Applications 115 (2005) 31–40 (with A. Papapantoleon) (pdf)  
  The Lévy Libor model. Finance and Stochastics 9 (2005) 327–348 (with F. Özkan)
  Lévy term structure models: no-arbitrage and completeness. Finance and Stochastics 9 (2005) 67–88 (with J. Jacod, S. Raible)  
  Generalized hyperbolic and inverse Gaussian distributions: limiting cases and approximation of processes. In Seminar on Stochastic Analysis, Random Fields and Applications IV, Progress in Probability 58, R.C. Dalang, M. Dozzi, F. Russo (Eds.), Birkhäuser Verlag (2004) 221–264 (with E.A. von Hammerstein)  
  Both sides of the fence: a statistical and regulatory view of electricity risk. Energy & Power Risk Management 8, no. 6 (2003), 34–38 (with G. Stahl) © 2003 Incisive Media Plc. 
Time consistency of Lévy models. Quantitative Finance 3 (2003) 40–50 (with F. Özkan) (pdf)  
  Risk management based on stochastic volatility. Journal of Risk 5, no. 2 (2003) 19–44 (with J. Kallsen, J. Kristen)  
The defaultable Lévy term structure: ratings and restructuring. Mathematical Finance 13 (2003) 277–300 (with F. Özkan)  
The generalized hyperbolic model: financial derivatives and risk measures. In Mathematical Finance-Bachelier Congress 2000, H. Geman, D. Madan, S. Pliska, T. Vorst (Eds.), Springer Verlag (2002) 245–267 (with K. Prause)
Some analytic facts on the generalized hyperbolic model. In Proceedings of the 3rd European Meeting of Mathematics, Progress in Mathematics 202, C. Casacuberta, et al. (Eds.), Birkhäuser Verlag (2001) 367–378 (with S. Raible)  
Recent advances in more realistic risk management: the hyperbolic model. In Mastering Risk 2, C. Alexander (Ed.), Prentice Hall-Financial Times (2001), 56–72  
Application of generalized hyperbolic Lévy motions to finance. In Lévy Processes: Theory and Applications, O.E. Barndorff-Nielsen, T. Mikosch, and S. Resnick (Eds.), Birkhäuser Verlag (2001) 319–337
A new framework for the evaluation of market and credit risk. In Datamining und Computational Finance, G. Bol, G. Nakhaeizadeh, K.-H. Vollmer (Eds.), Physica Verlag, Wirtschaftswissenschaftliche Beiträge Bd. 174 (2000) 51–67 (with J. Breckling, P. Kokic)
A tailored suit for risk management: the hyperbolic model. In Measuring risk in complex stochastic systems, J.Franke, W. Härdle, and G. Stahl (Eds.), Lecture Notes in Statistics 147, Springer (2000) 189–202 (with J. Breckling, P. Kokic)
Term structure models driven by general Lévy processes. Mathematical Finance 9 (1999) 31–54 (with S. Raible)
Grundideen moderner Finanzmathematik. Mitteilungen der DMV 3/98 (1998) 10–20
The true nature of market risk. Submitted to Net Exposure (1998) (with U. Keller)
New insights into smile, mispricing and value at risk: the hyperbolic model. Journal of Business 71 (1998) 371–405 (with U. Keller, K. Prause)
On the range of options prices. Finance and Stochastics 1 (1997) 131–140 (with J. Jacod)
Hyperbolic distributions in finance. Bernoulli 1 (1995) 281–299 (with U. Keller)
On modelling questions in security valuation. Mathematical Finance 2 (1992) 17–32
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