Low-Dimensional Approximations of High-Dimensional Asset Price Models
From MaRDI portal
Publication:4990516
DOI10.1137/20M1325666zbMath1466.91352arXiv2003.06928OpenAlexW3120647085MaRDI QIDQ4990516
Pawan Goyal, Christian Bayer, Martin Redmann
Publication date: 28 May 2021
Published in: SIAM Journal on Financial Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06928
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Derivative securities (option pricing, hedging, etc.) (91G20)
Related Items
Gramian-based model reduction for unstable stochastic systems, Solving High-Dimensional Optimal Stopping Problems Using Optimization Based Model Order Reduction
Cites Work
- Unnamed Item
- Efficient low-rank solution of generalized Lyapunov equations
- Mimicking an Itō process by a solution of a stochastic differential equation
- Interpolatory weighted-\(\mathcal{H}_2\) model reduction
- Model reduction for systems with inhomogeneous initial conditions
- Model reduction for stochastic systems
- A new type of singular perturbation approximation for stochastic bilinear systems
- On randomized stopping
- Mimicking the one-dimensional marginal distributions of processes having an Ito differential
- Rational matrix equations in stochastic control.
- An output error bound for time-limited balanced truncation
- Balanced truncation model order reduction in limited time intervals for large systems
- Quasimonotonie und Ungleichungen in halbgeordneten Räumen
- An \(L_T^2\)-error bound for time-limited balanced truncation
- Low rank methods for a class of generalized Lyapunov equations and related issues
- Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
- Model reduction in limited time and frequency intervals
- Computational Methods for Linear Matrix Equations
- Truncated low‐rank methods for solving general linear matrix equations
- Direct methods and ADI‐preconditioned Krylov subspace methods for generalized Lyapunov equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Smoothing the payoff for efficient computation of Basket option prices
- Type II Singular Perturbation Approximation for Linear Systems with Lévy Noise
- Model Reduction and Approximation
- A Survey of Model Reduction by Balanced Truncation and Some New Results
- Solving high-dimensional partial differential equations using deep learning
- A forward equation for barrier options under the Brunick & Shreve Markovian projection
- Energy estimates and model order reduction for stochastic bilinear systems
- Implied stopping rules for American basket options from Markovian projection
- Deep hedging
- Sparse grids
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Valuing American Options by Simulation: A Simple Least-Squares Approach
- Cross-Positive Matrices
- Approximation of Large-Scale Dynamical Systems