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This paper studies the mean-variance optimal portfolio choice of an investor pre-committed to a deterministic investment policy in continuous time in a market with mean-reversion in the risk-free rate and the equity risk-premium. In the…

数理金融 · 定量金融 2024-03-07 Michael Preisel

This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or…

数理金融 · 定量金融 2022-06-28 Chonghu Guan , Zuo Quan Xu , Rui Zhou

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

We develop a robust framework for pricing and hedging of derivative securities in discrete-time financial markets. We consider markets with both dynamically and statically traded assets and make minimal measurability assumptions. We obtain…

数理金融 · 定量金融 2018-02-08 Matteo Burzoni , Marco Frittelli , Zhaoxu Hou , Marco Maggis , Jan Obłój

This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with…

数理金融 · 定量金融 2017-10-03 Laurence Carassus , Romain Blanchard

We present a general approach to the pricing of products in finance and insurance in the multi-period setting. It is a combination of the utility indifference pricing and optimal intertemporal risk allocation. We give a characterization of…

证券定价 · 定量金融 2008-12-02 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

投资组合管理 · 定量金融 2025-10-01 Vladimir Markov

In this paper the utility optimization problem for a general insurance model is studied. The reserve process of the insurance company is described by a stochastic differential equation driven by a Brownian motion and a Poisson random…

概率论 · 数学 2009-09-01 Yuping Liu , Jin Ma

In the classical static optimal reinsurance problem, the cost of capital for the insurer's risk exposure determined by a monetary risk measure is minimized over the class of reinsurance treaties represented by increasing Lipschitz retained…

风险管理 · 定量金融 2020-12-18 Alexander Glauner

This paper considers optimal control problem of a large insurance company under a fixed insolvency probability. The company controls proportional reinsurance rate, dividend pay-outs and investing process to maximize the expected present…

风险管理 · 定量金融 2010-06-01 Zongxia Liang , Jianping Huang

We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a…

数理金融 · 定量金融 2023-03-09 Hugo E. Ramirez , Rafael Serrano

Financial portfolio optimization is a widely studied problem in mathematics, statistics, financial and computational literature. It adheres to determining an optimal combination of weights associated with financial assets held in a…

投资组合管理 · 定量金融 2013-01-21 Ankit Dangi

We give a general formulation of the utility maximization problem under nondominated model uncertainty in discrete time and show that an optimal portfolio exists for any utility function that is bounded from above. In the unbounded case,…

投资组合管理 · 定量金融 2013-07-16 Marcel Nutz

We extend Relative Robust Portfolio Optimisation models to allow portfolios to optimise their distance to a set of benchmarks. Portfolio managers are also given the option of computing regret in a way which is more in line with market…

投资组合管理 · 定量金融 2017-01-12 Gonçalo Simões , Mark McDonald , Stacy Williams , Daniel Fenn , Raphael Hauser

This paper considers the constrained portfolio optimization in a generalized life-cycle model. The individual with a stochastic income manages a portfolio consisting of stocks, a bond, and life insurance to maximize his or her consumption…

投资组合管理 · 定量金融 2024-10-29 Wenyuan Li , Pengyu Wei

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

最优化与控制 · 数学 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

We study the explicit calculation of the set of superhedging portfolios of contingent claims in a discrete-time market model for d assets with proportional transaction costs. The set of superhedging portfolios can be obtained by a recursive…

证券定价 · 定量金融 2014-05-22 Andreas Löhne , Birgit Rudloff

We define and develop an approach for risk budgeting allocation - a risk diversification portfolio strategy - where risk is measured using a dynamic time-consistent risk measure. For this, we introduce a notion of dynamic risk contributions…

数理金融 · 定量金融 2024-11-01 Silvana M. Pesenti , Sebastian Jaimungal , Yuri F. Saporito , Rodrigo S. Targino

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

投资组合管理 · 定量金融 2022-02-16 Weidong Tian , Zimu Zhu

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

数理金融 · 定量金融 2025-02-21 Nick James , Max Menzies