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Current |
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Currently working in the banking sector in model validation.
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Research Interests |
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Theory and applications of Markov processes, Lévy processes, applied probability, mathematical finance, and actuarial science.
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Publications |
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Published papers and papers accepted for publication:
Furman, E., Hackmann, D. and Kuznetsov, A. (2019) On Log-Normal Convolutions: An Analytical-Numerical Method With Applications to Economic Capital Determination. To appear in Insurance Mathematics and Economics.
Hackmann, D. (2018) Analytic techniques for option pricing under a hyperexponential Lévy model. Journal of Computational and Applied Mathematics. 342: 225--248
Accompanying Mathematica software
Hackmann, D. (2018) Karhunen-Loève expansions of Lévy processes. Communications in Statistics - Theory and Methods. 47(23): 5675--5687
Hackmann, D. and Kuznetsov, A. (2016) Approximating Lévy processes with completely monotone jumps. The Annals of Applied Probability , 26 (1), 328--359
Hackmann, D. and Kuznetsov, A. (2014) Asian options and meromorphic Lévy processes. Finance and Stochastics. 18(4): 825--844
Hackmann, D. and Kuznetsov, A. (2013) A note on the series representation for the density of the supremum of a stable process. Electronic Communications in Probability. 18(42): 1--5
Preprints, Submitted, or under Revision:
Hackmann, D. (2019) Wiener-Hopf factorization for the Normal Inverse Gaussian process. Preprint
Theses:
Analytical methods for Lévy processes with applications to finance (Ph.D. 2015)
The Optimal Dividend Problem for two Families of Meromorphic Lévy Processes (M.A. 2011)
Solving the Black-Scholes Equation using a Finite Difference Method (B.Sc. 2010)
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Talks |
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Invited Talks:
Hackmann, D. (2015) Analytical Methods for Lévy processes with applications to finance: Part 1 & Part 2. At: Institute of financial mathematics and applied number theory, Johannes Kepler University, Linz, Austria, March 2 & 3. Seminar
Hackmann, D. (2015) Analytical Methods for Lévy processes with applications to finance. At: Vienna Seminar in Mathematical Finance and Probability, University of Vienna, Vienna, Austria, January 22. Seminar
Contributed Talks:
Hackmann, D. (2016) Karhunen-Loève expansions of Lévy processes. At: 3rd Barcelona summer school on stochastic analysis, UAB, Barcelona, Spain, June 27--July 1. International summer school
Hackmann, D. (2015) The density of the supremum of a stable process. At: Joint Austrian-Hungarian mathematical conference, Széchenyi István University, Gyõr, Hungary, August 25--27. International conference
Hackmann, D. (2014) Approximating Lévy processes with completely monotone jumps. At: Workshop on statistical inference for Lévy processes, Lorentz Center, Leiden, The Netherlands, September 22--25. International conference
Hackmann, D. (2014) Approximating Lévy processes with completely monotone jumps. At: 2nd Barcelona summer school on stochastic analysis, UAB, Barcelona, Spain, July 7--11. International summer school
Hackmann, D. (2013) Asian options and meromorphic Lévy processes. At: The satellite summer school of the 7th international conference on Lévy processes, Bedlewo, Poland, July 8--13. International summer school
Hackmann, D. (2012) The optimal dividend problem for two families of meromorphic Lévy processes. At: CAIMS Meeting, Toronto, Canada, June 24--28. National conference
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