Search Results - "Hientzsch, Bernhard"
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Backward Deep BSDE Methods and Applications to Nonlinear Problems
Published in Risks (Basel) (01-03-2023)“…We present a pathwise deep Backward Stochastic Differential Equation (BSDE) method for Forward Backward Stochastic Differential Equations with terminal…”
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Estimating future value-at-risk from value samples, and applications to future initial margin
Published in The journal of risk (01-02-2022)Get full text
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Pricing barrier options with deep backward stochastic differential equation methods
Published in The journal of computational finance (01-03-2022)Get full text
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Reinforcement Learning and Deep Stochastic Optimal Control for Final Quadratic Hedging
Published 20-11-2023“…We consider two data driven approaches, Reinforcement Learning (RL) and Deep Trajectory-based Stochastic Optimal Control (DTSOC) for hedging a European call…”
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Enforcing asymptotic behavior with DNNs for approximation and regression in finance
Published 07-11-2024“…We propose a simple methodology to approximate functions with given asymptotic behavior by specifically constructed terms and an unconstrained deep neural…”
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Inflation Models with Correlation and Skew
Published 08-05-2024“…We formulate a forward inflation index model with multi-factor volatility structure featuring a parametric form that allows calibration to correlations between…”
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A Comparison of Reinforcement Learning and Deep Trajectory Based Stochastic Control Agents for Stepwise Mean-Variance Hedging
Published 15-02-2023“…We consider two data-driven approaches to hedging, Reinforcement Learning and Deep Trajectory-based Stochastic Optimal Control, under a stepwise mean-variance…”
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A case study on different one-factor Cheyette models for short maturity caplet calibration
Published 20-08-2024“…In [1], we calibrated a one-factor Cheyette SLV model with a local volatility that is linear in the benchmark forward rate and an uncorrelated CIR stochastic…”
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A Flexible Commodity Skew Model with Maturity Effects
Published 15-12-2022“…We propose a non-parametric extension with leverage functions to the Andersen commodity curve model. We calibrate this model to market data for WTI and NG…”
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Introduction to Solving Quant Finance Problems with Time-Stepped FBSDE and Deep Learning
Published 27-11-2019“…In this introductory paper, we discuss how quantitative finance problems under some common risk factor dynamics for some common instruments and approaches can…”
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Parametric Differential Machine Learning for Pricing and Calibration
Published 13-02-2023“…Differential machine learning (DML) is a recently proposed technique that uses samplewise state derivatives to regularize least square fits to learn…”
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Pricing Barrier Options with DeepBSDEs
Published 11-09-2024“…Journal of Computational Finance, 25(4):1-25 (2022) This paper presents a novel and direct approach to price boundary and final-value problems, corresponding…”
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13
Estimating Future VaR from Value Samples and Applications to Future Initial Margin
Published 23-04-2021“…Predicting future values at risk (fVaR) is an important problem in finance. They arise in the modelling of future initial margin requirements for counterparty…”
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14
Extensions of Dupire Formula: Stochastic Interest Rates and Stochastic Local Volatility
Published 11-05-2020“…We derive generalizations of Dupire formula to the cases of general stochastic drift and/or stochastic local volatility. First, we handle a case in which the…”
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Calibrating Local Volatility Models with Stochastic Drift and Diffusion
Published 08-05-2023“…International Journal of Theoretical and Applied Finance, 25(02):2250011, 2022 We propose Monte Carlo calibration algorithms for three models: local volatility…”
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Backward Deep BSDE Methods and Applications to Nonlinear Problems
Published 13-06-2020“…In this paper, we present a backward deep BSDE method applied to Forward Backward Stochastic Differential Equations (FBSDE) with given terminal condition at…”
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Fast solvers and domain decomposition preconditioners for spectral element discretizations of problems in H(curl)
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Fast solvers and domain decomposition preconditioners for spectral element discretizations of problems in H(curl)
Published 01-01-2001“…For problems with piecewise smooth solutions, spectral element methods hold great promise. They combine the exponential convergence of spectral methods with…”
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Dissertation