Search Results for author: Thorsten Schmidt

Found 16 papers, 2 papers with code

A novel scaling approach for unbiased adjustment of risk estimators

no code implementations9 Dec 2023 Marcin Pitera, Thorsten Schmidt, Łukasz Stettner

The assessment of risk based on historical data faces many challenges, in particular due to the limited amount of available data, lack of stationarity, and heavy tails.

Robust asymptotic insurance-finance arbitrage

no code implementations9 Dec 2022 Katharina Oberpriller, Moritz Ritter, Thorsten Schmidt

In this setting, we describe conditional dependence by means of copulas and illustrate how the ${Q}\mathscr{P}$-evaluation can be used for the pricing of hybrid insurance products.

Classical and deep pricing for Path-dependent options in non-linear generalized affine models

no code implementations27 Jul 2022 Benedikt Geuchen, Katharina Oberpriller, Thorsten Schmidt

In this work we consider one-dimensional generalized affine processes under the paradigm of Knightian uncertainty (so-called non-linear generalized affine models).

Estimating value at risk: LSTM vs. GARCH

no code implementations21 Jul 2022 Weronika Ormaniec, Marcin Pitera, Sajad Safarveisi, Thorsten Schmidt

Estimating value-at-risk on time series data with possibly heteroscedastic dynamics is a highly challenging task.

Time Series Time Series Analysis

Term structure modelling with overnight rates beyond stochastic continuity

no code implementations2 Feb 2022 Claudio Fontana, Zorana Grbac, Thorsten Schmidt

Overnight rates, such as the SOFR (Secured Overnight Financing Rate) in the US, are central to the current reform of interest rate benchmarks.

Estimating and backtesting risk under heavy tails

no code implementations25 Jan 2022 Marcin Pitera, Thorsten Schmidt

While the estimation of risk is an important question in the daily business of banking and insurance, many existing plug-in estimation procedures suffer from an unnecessary bias.

Time Series Time Series Analysis

Robust deep hedging

1 code implementation18 Jun 2021 Eva Lütkebohmert, Thorsten Schmidt, Julian Sester

We study pricing and hedging under parameter uncertainty for a class of Markov processes which we call generalized affine processes and which includes the Black-Scholes model as well as the constant elasticity of variance (CEV) model as special cases.

Defaultable term structures driven by semimartingales

no code implementations2 Mar 2021 Sandrine Gümbel, Thorsten Schmidt

We consider a market with a term structure of credit risky bonds in the single-name case.

A conditional version of the second fundamental theorem of asset pricing in discrete time

no code implementations26 Feb 2021 Lars Niemann, Thorsten Schmidt

We consider a financial market in discrete time and study pricing and hedging conditional on the information available up to an arbitrary point in time.

Deep dynamic modeling with just two time points: Can we still allow for individual trajectories?

1 code implementation1 Dec 2020 Maren Hackenberg, Philipp Harms, Michelle Pfaffenlehner, Astrid Pechmann, Janbernd Kirschner, Thorsten Schmidt, Harald Binder

Inspired by recent advances that allow to combine deep learning with dynamic modeling, we investigate whether such approaches can be useful for uncovering complex structure, in particular for an extreme small data setting with only two observations time points for each individual.

Estimating and backtesting risk under heavy tails

no code implementations20 Oct 2020 Marcin Pitera, Thorsten Schmidt

While the {estimation} of risk is an important question in the daily business of banking and insurance, many existing plug-in estimation procedures suffer from an unnecessary bias.

Time Series Time Series Analysis

Insurance-Finance Arbitrage

no code implementations22 May 2020 Philippe Artzner, Karl-Theodor Eisele, Thorsten Schmidt

Most insurance contracts are inherently linked to financial markets, be it via interest rates, or -- as hybrid products like equity-linked life insurance and variable annuities -- directly to stocks or indices.

Machine learning for multiple yield curve markets: fast calibration in the Gaussian affine framework

no code implementations16 Apr 2020 Sandrine Gümbel, Thorsten Schmidt

We find very good results for the single curve markets and many challenges for the multi curve markets in a Vasicek framework.

BIG-bench Machine Learning regression

Generalized statistical arbitrage concepts and related gain strategies

no code implementations22 Jul 2019 Christian Rein, Ludger Rüschendorf, Thorsten Schmidt

Generalized statistical arbitrage concepts are introduced corresponding to trading strategies which yield positive gains on average in a class of scenarios rather than almost surely.

Fair Estimation of Capital Risk Allocation

no code implementations26 Feb 2019 Tomasz R. Bielecki, Igor Cialenco, Marcin Pitera, Thorsten Schmidt

In this paper we develop a novel methodology for estimation of risk capital allocation.

Fairness

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