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This paper develops numerical methods for finding optimal dividend pay-out and reinsurance policies. A generalized singular control formulation of surplus and discounted payoff function are introduced, where the surplus is modeled by a…

计算金融 · 定量金融 2011-11-11 Zhuo Jin , George Yin , Chao Zhu

Portfolio selection problems that optimize expected utility are usually difficult to solve. If the number of assets in the portfolio is large, such expected utility maximization problems become even harder to solve numerically. Therefore,…

投资组合管理 · 定量金融 2026-02-17 Nuerxiati Abudurexiti , Erhan Bayraktar , Takaki Hayashi , Hasanjan Sayit

We consider the mean--variance portfolio optimization problem under the game theoretic framework and without risk-free assets. The problem is solved semi-explicitly by applying the extended Hamilton--Jacobi--Bellman equation. Although the…

投资组合管理 · 定量金融 2016-02-17 Chi Kin Lam , Yuhong Xu , Guosheng Yin

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

最优化与控制 · 数学 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

投资组合管理 · 定量金融 2022-03-08 Masashi Ieda

The paper discusses capital allocation using the Euler formula and focuses on the risk measures Value-at-Risk (VaR) and Expected shortfall (ES). Some new results connected to this capital allocation is known. Two examples illustrate that…

风险管理 · 定量金融 2024-05-02 Lars Holden

Building on the work of Schweizer (1995) and Cern and Kallseny (2007), we present discrete time formulas minimizing the mean square hedging error for multidimensional assets. In particular, we give explicit formulas when a regime-switching…

证券定价 · 定量金融 2012-11-22 Bruno Rémillard , Sylvain Rubenthaler

We study an optimization-based approach to con- struct a mean-reverting portfolio of assets. Our objectives are threefold: (1) design a portfolio that is well-represented by an Ornstein-Uhlenbeck process with parameters estimated by maximum…

投资组合管理 · 定量金融 2018-03-20 Jize Zhang , Tim Leung , Aleksandr Y. Aravkin

In this paper we present an evolutionary optimization approach to solve the risk parity portfolio selection problem. While there exist convex optimization approaches to solve this problem when long-only portfolios are considered, the…

投资组合管理 · 定量金融 2015-04-14 Ronald Hochreiter

Stock portfolio optimization is the process of continuous reallocation of funds to a selection of stocks. This is a particularly well-suited problem for reinforcement learning, as daily rewards are compounding and objective functions may…

投资组合管理 · 定量金融 2022-07-06 Charl Maree , Christian W. Omlin

In this paper we consider the problem of minimising drawdown in a portfolio of financial assets. Here drawdown represents the relative opportunity cost of the single best missed trading opportunity over a specified time period. We formulate…

风险管理 · 定量金融 2019-08-26 C. A. Valle , J. E. Beasley

In this paper two portfolio choice models are studied: a purely possibilistic model, in which the return of a risky asset is a fuzzy number, and a mixed model in which a probabilistic background risk is added. For the two models an…

投资组合管理 · 定量金融 2018-05-31 Irina Georgescu

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

风险管理 · 定量金融 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

It is well known that the minimal superhedging price of a contingent claim is too high for practical use. In a continuous-time model uncertainty framework, we consider a relaxed hedging criterion based on acceptable shortfall risks.…

数理金融 · 定量金融 2019-03-07 Ludovic Tangpi

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

数理金融 · 定量金融 2023-08-15 David Evangelista , Yuri Thamsten

In the paper we develop mathematical tools of quantile hedging in incomplete market. Those could be used for two significant applications: o calculating the \textbf{optimal capital requirement imposed by Solvency II} (Directive 2009/138/EC…

风险管理 · 定量金融 2016-03-27 Przemysław Klusik

In this paper, we solve portfolio rebalancing problem when security returns are represented by uncertain variables considering transaction costs. The performance of the proposed model is studied using constant-proportion portfolio insurance…

投资组合管理 · 定量金融 2018-12-20 Mostafa Zandieh , Seyed Omid Mohaddesi

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

投资组合管理 · 定量金融 2025-11-18 Lóránt Nagy , Miklós Rásonyi

I discuss some theoretical results with a view to motivate some practical choices in portfolio optimization. Even though the setting is not completely general (for example, the covariance matrix is assumed to be non-singular), I attempt to…

投资组合管理 · 定量金融 2016-01-29 Vassilios Papathanakos

We study the design of portfolios under a minimum risk criterion. The performance of the optimized portfolio relies on the accuracy of the estimated covariance matrix of the portfolio asset returns. For large portfolios, the number of…

投资组合管理 · 定量金融 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay