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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 provides a methodology for fast and accurate pricing of the long-dated contracts that arise as the building blocks of insurance and pension fund agreements. It applies the recursive marginal quantization (RMQ) and joint recursive…

计算金融 · 定量金融 2018-01-25 Ralph Rudd , Thomas A. McWalter , Joerg Kienitz , Eckhard Platen

In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the…

数理金融 · 定量金融 2020-01-06 Abootaleb Shirvani , Frank J. Fabozzi , Stoyan V. Stoyanov

When interest rate dynamics are described by the Libor Market Model as in BGM97, we show how some essential risk-management results can be obtained from the dual of the calibration program. In particular, if the objetive is to maximize…

计算工程、金融与科学 · 计算机科学 2007-05-23 Alexandre d'Aspremont

In this paper we study the pricing and hedging of nonreplicable contingent claims, such as long-term insurance contracts like variable annuities. Our approach is based on the benchmark-neutral pricing framework of Platen (2024), which…

数理金融 · 定量金融 2025-06-25 Michael Schmutz , Eckhard Platen , Thorsten Schmidt

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

最优化与控制 · 数学 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu

We perform a detailed theoretical study of the value of a class of participating policies with four key features: $(i)$ the policyholder is guaranteed a minimum interest rate on the policy reserve; $(ii)$ the contract can be terminated by…

数理金融 · 定量金融 2021-11-15 Maria B. Chiarolla , Tiziano De Angelis , Gabriele Stabile

In the context of first-order algorithms subject to random gradient noise, we study the trade-offs between the convergence rate (which quantifies how fast the initial conditions are forgotten) and the "risk" of suboptimality, i.e.…

最优化与控制 · 数学 2025-03-11 Bugra Can , Mert Gürbüzbalaban

In life insurance, life tables are used to estimate the survival distribution of individuals from a given population. However, these tables only provide survival probabilities at integer ages but no information about the distribution of…

风险管理 · 定量金融 2026-03-19 Jean-Loup Dupret , Edouard Motte

We present a robust Deep Hedging framework for the pricing and hedging of option portfolios that significantly improves training efficiency and model robustness. In particular, we propose a neural model for training model embeddings which…

计算金融 · 定量金融 2025-04-24 Fabienne Schmid , Daniel Oeltz

Conditional risk minimization arises in high-stakes decisions where risk must be assessed in light of side information, such as stressed economic conditions, specific customer profiles, or other contextual covariates. Constructing reliable…

机器学习 · 统计学 2025-09-30 Xinqiao Xie , Jonathan Yu-Meng Li

In this paper, an optimization problem for the monotone mean-variance(MMV) criterion is considered in the perspective of the insurance company. The MMV criterion is an amended version of the classical mean-variance(MV) criterion which…

最优化与控制 · 数学 2022-12-05 Bohan Li , Junyi Guo , Linlin Tian

We study the modelling and valuation of surrender and other behavioural options in life insurance and pension. We place ourselves in between the two extremes of completely arbitrary intervention and optimal intervention by the policyholder.…

数理金融 · 定量金融 2014-12-08 Kamille Sofie Tågholt Gad , Jeppe Juhl , Mogens Steffensen

This paper studies an optimal investment-reinsurance problem for an insurer (she) under the Cram\'er--Lundberg model with monotone mean--variance (MMV) criterion. At any time, the insurer can purchase reinsurance (or acquire new business)…

投资组合管理 · 定量金融 2024-05-30 Xiaomin Shi , Zuo Quan Xu

Predicting the evolution of mortality rates plays a central role for life insurance and pension funds.Various stochastic frameworks have been developed to model mortality patterns taking into account the main stylized facts driving these…

应用统计 · 统计学 2021-11-17 Karim Barigou , Pierre-Olivier Goffard , Stéphane Loisel , Yahia Salhi

This paper studies a life-cycle optimal portfolio-consumption problem when the consumption performance is measured by a shortfall aversion preference with an additional drawdown constraint on consumption rate. Meanwhile, the agent also…

最优化与控制 · 数学 2022-10-21 Xun Li , Xiang Yu , Qinyi Zhang

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

投资组合管理 · 定量金融 2021-11-05 Michael Pinelis , David Ruppert

In this paper we investigate the local risk-minimization approach for a combined financial-insurance model where there are restrictions on the information available to the insurance company. In particular we assume that, at any time, the…

投资组合管理 · 定量金融 2014-11-18 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

Recent studies have identified long-range dependence as a key feature in the dynamics of both mortality and interest rates. Building on this insight, we develop a novel bi-variate stochastic framework based on mixed fractional Brownian…

风险管理 · 定量金融 2025-08-26 Kenneth Q. Zhou , Hongjuan Zhou

We consider robust pricing and hedging for options written on multiple assets given market option prices for the individual assets. The resulting problem is called the multi-marginal martingale optimal transport problem. We propose two…

概率论 · 数学 2020-10-08 Stephan Eckstein , Gaoyue Guo , Tongseok Lim , Jan Obloj