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Publications

Financial and Actuarial Mathematics

Publications of the professors at the chair

Publications of the team at the chair (since 2011)

2024

  1. Benth F. E. , Detering N. and Krühner P.: Abstract polynomial processes. Electronic Journal of Probability 2024, Vol. 29, paper no. 122, 1-41.
    https://doi.org/10.1214/24-EJP1182

2023

  1. Benth F.E., Detering N. and Galimberti L.: Pricing options on flow forwards by neural networks in Hilbert space. To appear in: Finance & Stochastics.
    https://arxiv.org/abs/2202.11606
  2. Angiuli A., Detering N., Fouque J.-P., Lin J. and M. Lauriére (2023): Reinforcement Learning Algorithm for Mixed Mean Field Control Games. Journal of Machine Learning, Vol. 2, 108-137.
    https://arxiv.org/abs/2205.02330

2022

  1. Benth F.E., Detering N. and Galimberti L. (2022): Neural Networks in Frechet spaces. Annals of Mathematics and Artificial Intelligence, 91(3-4).
    https://arxiv.org/pdf/2109.13512.pdf
  2. Angiuli A., Detering N., Fouque J.-P., Lin J. and M. Lauriére (2022): Reinforcement Learning for Intra-and-Inter-Bank Borrowing and Lending Mean Field Control Game. 3rd ACM International Conference on AI in Finance, conference proceeding (best paper award), 369–376.
    https://arxiv.org/abs/2207.03449
  3. Benth F.E., Detering N. and Krühner P. (2022): Stochastic Volterra integral equations and a class of first order stochastic partial differential equations. Stochastics: An International Journal of Probability and Stochastic Processes, Vol. 94, 1054-1076.
    https://arxiv.org/abs/1903.05045
  4. Detering N., Meyer-Brandis T., Panagiotou K. and Ritter D. (2022): Suffocating Fire Sales. SIAM Journal on Financial Mathematics, Vol. 13, No. 1, 70–108.
    https://arxiv.org/abs/2006.08110

2021

  1. Benth F.E., Detering N. and Lavagnini S. (2021): Accuracy of Deep Learning in Calibrating HJM Forward Curves. Digital Finance.
    https://arxiv.org/abs/2006.01911
  2. Detering N., Meyer-Brandis T., Panagiotou K. and Ritter D. (2021): Financial Contagion in a Stochastic Block Model. International Journal of Theoretical and Applied Finance,
    Vol. 23, No. 8.
    https://arxiv.org/abs/1803.08169

2020

  1. Detering N., Meyer-Brandis T., Panagiotou K. and Ritter D. (2020): An Integrated Model for Fire Sales and Default Contagion. Mathematics and Financial Economics, Vol. 15, 59–101.
    https://doi.org/10.1007/s11579-020-00273-y
  2. Benth F.E., Detering N. and Krühner P. (2020): Independent increment processes: A multilinearity preserving property. Stochastics: An International Journal of Probability and Stochastic Processes, 1-30.
    https://arxiv.org/abs/1809.01336
  3. Detering N., Janusonis S., Metzler R. and Vojta T.  (2020): Serotonergic axons as Fractional Brownian Motion paths: Insights into the self-organization of regional densities. Frontiers In Computational Neuroscience, Vol. 14.
    https://www.frontiersin.org/articles/10.3389/fncom.2020.00056/full
  4. Detering N., Fouque J.-P. and Ichiba T. (2020): Directed Chain Stochastic Differential Equations. Stochastic Processes and their Applications 130(4), 2519-2551.
    https://arxiv.org/abs/1805.01962

2019

  1. Detering N., Meyer-Brandis T. and Panagiotou K. (2019): Bootstrap percolation in inhomogeneous and directed random graphs. Electronic Journal of Combinatorics, 26(2), 1-43.
    https://arxiv.org/abs/1511.07993
  2. Detering N., Meyer-Brandis T., Panagiotou K. and Ritter D. (2019): Systemic Risk in Networks. Springer Nature. Editors: F. Biagini, G. Kauermann, T. Meyer-Brandis: Network Science - An Aerial View from Different Perspectives.
    https://link.springer.com/book/10.1007/978-3-030-26814-5
  3. Detering N., Meyer-Brandis T., Panagiotou K. and Ritter D. (2019): Managing Default Contagion in Inhomogeneous Financial Networks. SIAM Journal on Financial Mathematics, 10(2), 430-465.
    https://arxiv.org/abs/1610.09542

2018

  1. Christodoulou P., Detering N. and Meyer-Brandis T. (2018): Local risk minimisation with multiple assets under illiquidity with applications in energy markets. International Journal of Theoretical and Applied Finance, Vol. 21, No. 04.
    https://arxiv.org/abs/1705.06918
  2. Janusonis S. and Detering N. (2018): A stochastic approach to serotonergic fibers in mental disorders. Biochemie.
    https://doi.org/10.1016/j.biochi.2018.07.014

2016

  1. Detering N. and Packham N. (2016): Model risk of contingent claims. Quantitative Finance, Vol. 16, Issue 9 , 1357-1374.
    https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2214913

2015

  1. Benth F. E. and Detering N. (2015): Pricing and hedging Asian-style options on energy. Finance & Stochastics, Vol. 19, Issue 4, 849-889.
    https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2330273

2014

  1. Detering N. and Packham N. (2014): Model risk in incomplete markets with jumps. Springer Proceedings in Mathematics & Statistics, Vol. 99, Kathrin Glau et al: Innovations in quantitative risk management.
    https://link.springer.com/chapter/10.1007/978-3-319-09114-3_3

2013

  1. Detering N., Weber A. and Wystup U.  (2013): Return distributions of equity-linked retirement plans under jump and interest rate risk.
    European Actuarial Journal, Vol. 3, Issue 1, 203-228.
    https://link.springer.com/article/10.1007/s13385-013-0061-0

2011

  1. Detering N., Weber A. and Wystup U. (2011): Return distributions of equity-linked retirement plans. Statistical Tools for Finance and Insurance 2, eds. Cizek P., Haerdle W., Weron R., Springer, 393-413.
    https://link.springer.com/chapter/10.1007/978-3-642-18062-0_13