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We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

物理与社会 · 物理学 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

风险管理 · 定量金融 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović

We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

投资组合管理 · 定量金融 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye

We apply numerical dynamic programming techniques to solve discrete-time multi-asset dynamic portfolio optimization problems with proportional transaction costs and shorting/borrowing constraints. Examples include problems with multiple…

投资组合管理 · 定量金融 2020-03-05 Yongyang Cai , Kenneth Judd , Rong Xu

With the rise of emerging risks, model uncertainty poses a fundamental challenge in the insurance industry, making robust pricing a first-order question. This paper investigates how insurers' robustness preferences shape competitive…

风险管理 · 定量金融 2025-10-20 Shunzhi Pang

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

风险管理 · 定量金融 2010-08-31 Zongxia Liang , Jicheng Yao

We propose a novel portfolio selection approach that manages to ease some of the problems that characterise standard expected utility maximisation. The optimal portfolio is no longer defined as the extremum of a suitably chosen utility…

凝聚态物理 · 物理学 2009-09-29 P. Rossi , M. Tavoni , F. Cocco , R. Marschinski

A continuous-time financial portfolio selection model with expected utility maximization typically boils down to solving a (static) convex stochastic optimization problem in terms of the terminal wealth, with a budget constraint. In…

投资组合管理 · 定量金融 2022-01-07 Hanqing Jin , Zuo Quan Xu , Xun Yu Zhou

We study an optimization problem for a portfolio with a risk-free, a liquid, and an illiquid risky asset. The illiquid risky asset is sold in an exogenous random moment with a prescribed liquidation time distribution. The investor prefers a…

投资组合管理 · 定量金融 2020-05-11 Ljudmila A. Bordag

In portfolio analysis, the traditional approach of replacing population moments with sample counterparts may lead to suboptimal portfolio choices. I show that optimal portfolio weights can be estimated using a machine learning (ML)…

投资组合管理 · 定量金融 2018-07-31 Daniel Kinn

In this paper, we consider the chance constrained based uncertain portfolio optimization problem in which the uncertain parameters are stochastic in nature. The primary goal of the work is to formulate the uncertain problem into a…

最优化与控制 · 数学 2023-11-09 Pulak Swain , Akshay Kumar Ojha

A framework for risk-averse optimization problems is introduced that is resilient to ambiguities in the true form of the underlying probability distribution. The focus is on problems with partial differential equations (PDEs) as…

最优化与控制 · 数学 2026-04-14 Harbir Antil , Alonso J. Bustos , Sean P. Carney , Benjamín Venegas

We study a robust utility maximization problem in a general discrete-time frictionless market under quasi-sure no-arbitrage. The investor is assumed to have a random and concave utility function defined on the whole real-line. She also…

数理金融 · 定量金融 2024-02-28 Laurence Carassus , Massinissa Ferhoune

This paper aims to develop new mathematical and computational tools for modeling the distribution of portfolio returns across portfolios. We establish relevant mathematical formulas and propose efficient algorithms, drawing upon powerful…

计算工程、金融与科学 · 计算机科学 2021-05-17 Ludovic Calès , Apostolos Chalkis , Ioannis Z. Emiris

The portfolio optimization problem is a basic problem of financial analysis. In the study, an optimization model for constructing an options portfolio with a certain payoff function has been proposed. The model is formulated as an integer…

证券定价 · 定量金融 2017-07-10 Margarita E. Fatyanova , Mikhail E. Semenov

Dual risk models are popular for modeling a venture capital or high tech company, for which the running cost is deterministic and the profits arrive stochastically over time. Most of the existing literature on dual risk models concentrated…

风险管理 · 定量金融 2023-02-14 Arash Fahim , Lingjiong Zhu

A new framework for portfolio diversification is introduced which goes beyond the classical mean-variance approach and portfolio allocation strategies such as risk parity. It is based on a novel concept called portfolio dimensionality that…

This paper considers an insurance company that faces two key constraints: a ratcheting dividend constraint and an irreversible reinsurance constraint. The company allocates part of its reserve to pay dividends to its shareholders while…

最优化与控制 · 数学 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega

We analyze multiline pricing and capital allocation in equilibrium no-arbitrage markets. Existing theories often assume a perfect complete market, but when pricing is linear, there is no diversification benefit from risk pooling and…

风险管理 · 定量金融 2020-08-31 John A. Major , Stephen J. Mildenhall

We consider the optimal risk transfer from an insurance company to a reinsurer. The problem formulation considered in this paper is closely connected to the optimal portfolio problem in finance, with some crucial distinctions. In…

最优化与控制 · 数学 2023-06-23 Benjamin Avanzi , Hayden Lau , Mogens Steffensen