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相关论文: Intertemporal Hedging Demand under Epstein-Zin Pre…

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This study presents a deep reinforcement learning approach for global hedging of long-term financial derivatives. A similar setup as in Coleman et al. (2007) is considered with the risk management of lookback options embedded in guarantees…

风险管理 · 定量金融 2020-07-31 Alexandre Carbonneau

This paper considers the portfolio management problem of optimal investment, consumption and life insurance. We are concerned with time inconsistency of optimal strategies. Natural assumptions, like different discount rates for consumption…

最优化与控制 · 数学 2011-07-25 Ivar Ekeland , Oumar Mbodji , Traian A. Pirvu

Most value-based and actor--critic reinforcement learning methods rely on Bellman-style recursions, yet these recursions collapse under non-exponential discounting common in human preferences and survival processes. We show the breakdown is…

机器学习 · 计算机科学 2026-05-21 Hojin Ko , Jeonggyu Huh

We propose martingale consumption as a natural, desirable consumption pattern for any given (proportional) investment strategy. The idea is to always adjust current consumption so as to achieve level expected future consumption under the…

数理金融 · 定量金融 2025-05-28 Peter Holm Nielsen

The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. Closed, not necessarily convex, constraints are imposed on strategies. The optimal consumption and investment…

数理金融 · 定量金融 2023-05-25 Zixin Feng , Dejian Tian

In this article we solve the problem of maximizing the expected utility of future consumption and terminal wealth to determine the optimal pension or life-cycle fund strategy for a cohort of pension fund investors. The setup is strongly…

数理金融 · 定量金融 2020-08-03 Andreas Lichtenstern , Pavel V. Shevchenko , Rudi Zagst

Can an asset manager plan the optimal timing for her/his hedging strategies given market conditions? The standard approach based on Markowitz or other more or less sophisticated financial rules aims to find the best portfolio allocation…

投资组合管理 · 定量金融 2020-11-10 Eric Benhamou , David Saltiel , Sandrine Ungari , Abhishek Mukhopadhyay

We present a Pontryagin-Guided Direct Policy Optimization (PG-DPO) framework for Merton's portfolio problem, unifying modern neural-network-based policy parameterization with the adjoint viewpoint from Pontryagin's maximum principle (PMP).…

最优化与控制 · 数学 2025-01-14 Jeonggyu Huh , Jaegi Jeon

We study a continuous-time portfolio choice problem for an investor whose state-dependent preferences are determined by an exogenous factor that evolves as an It\^o diffusion process. Since risk attitudes at the end of the investment…

数理金融 · 定量金融 2025-12-25 Luca De Gennaro Aquino , Sascha Desmettre , Yevhen Havrylenko , Mogens Steffensen

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

交易与市场微观结构 · 定量金融 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

We study continuous-time CRRA portfolio choice in diffusion markets with estimated and hence uncertain coefficients. Nature draws a latent parameter $\theta \sim q$ at time $0$ and keeps it fixed; the investor never observes $\theta$ and…

计算金融 · 定量金融 2026-02-27 Jeonggyu Huh , Hyeng Keun Koo

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

证券定价 · 定量金融 2013-03-19 Łukasz Delong , Antoon Pelsser

This paper investigates portfolio selection within a continuous-time financial market with regime-switching and beliefs-dependent utilities. The market coefficients and the investor's utility function both depend on the market regime, which…

最优化与控制 · 数学 2024-10-23 Xiaochen Chen , Guohui Guan , Zongxia Liang

Recently equal risk pricing, a framework for fair derivative pricing, was extended to consider dynamic risk measures. However, all current implementations either employ a static risk measure that violates time consistency, or are based on…

证券定价 · 定量金融 2021-09-10 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

We investigate the stability of the Epstein-Zin problem with respect to small distortions in the dynamics of the traded securities. We work in incomplete market model settings, where our parametrization of perturbations allows for joint…

数理金融 · 定量金融 2023-04-12 Michael Monoyios , Oleksii Mostovyi

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

数理金融 · 定量金融 2026-04-27 Thai Nguyen , Pertiny Nkuize

We study mean field portfolio games under Epstein-Zin preferences, which naturally encompass the classical time-additive power utility as a special case. In a general non-Markovian framework, we establish a uniqueness result by proving a…

数理金融 · 定量金融 2025-05-13 Guanxing Fu , Ulrich Horst

We investigate the ergodic problem of growth-rate maximization under a class of risk constraints in the context of incomplete, It\^{o}-process models of financial markets with random ergodic coefficients. Including {\em value-at-risk}…

投资组合管理 · 定量金融 2008-12-02 Traian A. Pirvu , Gordan Zitkovic

We revisit Merton's continuous-time portfolio selection through a data-driven, distributionally robust lens. Our aim is to tap the benefits of frequent trading over short horizons while acknowledging that drift is hard to pin down, whereas…

最优化与控制 · 数学 2025-12-02 Jose Blanchet , Jiayi Cheng , Hao Liu , Yang Liu

This paper provides new conditions for dynamic optimality in discrete time and uses them to establish fundamental dynamic programming results for several commonly used recursive preference specifications. These include Epstein-Zin…

综合经济学 · 经济学 2020-06-23 Guanlong Ren , John Stachurski