Search Results for author: Cornelis W. Oosterlee

Found 18 papers, 5 papers with code

D-TIPO: Deep time-inconsistent portfolio optimization with stocks and options

no code implementations21 Aug 2023 Kristoffer Andersson, Cornelis W. Oosterlee

With an incomplete market and a more involved objective function, we show that it is beneficial to add options to the portfolio.

Portfolio Optimization

AIDA: Analytic Isolation and Distance-based Anomaly Detection Algorithm

1 code implementation5 Dec 2022 Luis Antonio Souto Arias, Cornelis W. Oosterlee, Pasquale Cirillo

We combine the metrics of distance and isolation to develop the Analytic Isolation and Distance-based Anomaly (AIDA) detection algorithm.

Anomaly Detection

A new self-exciting jump-diffusion process for option pricing

1 code implementation26 May 2022 Luis A. Souto Arias, Pasquale Cirillo, Cornelis W. Oosterlee

Furthermore, we show that by using partial integrals of the characteristic function, which are also explicitly known for the HQH process, we can reduce the dimensionality of the COS method, and so its numerical complexity.

Solution of integrals with fractional Brownian motion for different Hurst indices

no code implementations4 Mar 2022 Fei Gao, Shuaiqiang Liu, Cornelis W. Oosterlee, Nico M. Temme

In this paper, we will evaluate integrals that define the conditional expectation, variance and characteristic function of stochastic processes with respect to fractional Brownian motion (fBm) for all relevant Hurst indices, i. e. $H \in (0, 1)$.

Convergence of a robust deep FBSDE method for stochastic control

no code implementations18 Jan 2022 Kristoffer Andersson, Adam Andersson, Cornelis W. Oosterlee

In this paper, we propose a deep learning based numerical scheme for strongly coupled FBSDEs, stemming from stochastic control.

Pricing and Hedging Prepayment Risk in a Mortgage Portfolio

no code implementations30 Sep 2021 Emanuele Casamassima, Lech A. Grzelak, Frank A. Mulder, Cornelis W. Oosterlee

Here, in the setting of a Dutch mortgage provider, we propose to include non-linear financial instruments in the hedge portfolio when dealing with mortgages with the option to prepay part of the notional early.

Positive Stochastic Collocation for the Collocated Local Volatility Model

no code implementations6 Sep 2021 Fabien Le Floc'h, Cornelis W. Oosterlee

This paper presents how to apply the stochastic collocation technique to assets that can not move below a boundary.

Monte Carlo Simulation of SDEs using GANs

1 code implementation3 Apr 2021 Jorino van Rhijn, Cornelis W. Oosterlee, Lech A. Grzelak, Shuaiqiang Liu

We compare the input-output map obtained with the standard GAN and supervised GAN and show experimentally that the standard GAN may fail to provide a path-wise approximation.

Time Series Time Series Analysis +1

Valuation of electricity storage contracts using the COS method

no code implementations8 Jan 2021 Boris C. Boonstra, Cornelis W. Oosterlee

Storage of electricity has become increasingly important, due to the gradual replacement of fossil fuels by more variable and uncertain renewable energy sources.

Deep learning for CVA computations of large portfolios of financial derivatives

no code implementations26 Oct 2020 Kristoffer Andersson, Cornelis W. Oosterlee

In particular, we focus on portfolios consisting of a combination of derivatives, with and without true optionality, \textit{e. g.,} a portfolio of a mix of European- and Bermudan-type derivatives.

The Seven-League Scheme: Deep learning for large time step Monte Carlo simulations of stochastic differential equations

no code implementations7 Sep 2020 Shuaiqiang Liu, Lech A. Grzelak, Cornelis W. Oosterlee

With a method variant called the compression-decompression collocation and interpolation technique, we can drastically reduce the number of neural network functions that have to be learned, so that computational speed is enhanced.

Financial option valuation by unsupervised learning with artificial neural networks

no code implementations25 May 2020 Beatriz Salvador, Cornelis W. Oosterlee, Remco van der Meer

Artificial neural networks (ANNs) have recently also been applied to solve partial differential equations (PDEs).

On Calibration Neural Networks for extracting implied information from American options

no code implementations31 Jan 2020 Shuaiqiang Liu, Álvaro Leitao, Anastasia Borovykh, Cornelis W. Oosterlee

For the implied dividend yield, we formulate the inverse problem as a calibration problem and determine simultaneously the implied volatility and dividend yield.

BIG-bench Machine Learning

A neural network-based framework for financial model calibration

no code implementations23 Apr 2019 Shuaiqiang Liu, Anastasia Borovykh, Lech A. Grzelak, Cornelis W. Oosterlee

A data-driven approach called CaNN (Calibration Neural Network) is proposed to calibrate financial asset price models using an Artificial Neural Network (ANN).

BIG-bench Machine Learning

Generalisation in fully-connected neural networks for time series forecasting

no code implementations14 Feb 2019 Anastasia Borovykh, Cornelis W. Oosterlee, Sander M. Bohte

In this paper we study the generalization capabilities of fully-connected neural networks trained in the context of time series forecasting.

Learning Theory Time Series +1

Pricing options and computing implied volatilities using neural networks

no code implementations25 Jan 2019 Shuaiqiang Liu, Cornelis W. Oosterlee, Sander M. Bohte

This paper proposes a data-driven approach, by means of an Artificial Neural Network (ANN), to value financial options and to calculate implied volatilities with the aim of accelerating the corresponding numerical methods.

Stochastic grid bundling method for backward stochastic differential equations

1 code implementation16 Jan 2018 Ki Wai Chau, Cornelis W. Oosterlee

In this work, we apply the Stochastic Grid Bundling Method (SGBM) to numerically solve backward stochastic differential equations.

Numerical Analysis

Conditional Time Series Forecasting with Convolutional Neural Networks

3 code implementations14 Mar 2017 Anastasia Borovykh, Sander Bohte, Cornelis W. Oosterlee

The proposed network contains stacks of dilated convolutions that allow it to access a broad range of history when forecasting, a ReLU activation function and conditioning is performed by applying multiple convolutional filters in parallel to separate time series which allows for the fast processing of data and the exploitation of the correlation structure between the multivariate time series.

Time Series Time Series Forecasting

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