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This work derives an approximate analytical single period solution of the portfolio choice problem for the power utility function. It is possible to do so if we consider that the asset returns follow a multivariate normal distribution. It…

投资组合管理 · 定量金融 2021-10-13 Dmytro Ivasiuk

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

最优化与控制 · 数学 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

In this work we study a continuous time exponential utility maximization problem in the presence of a linear temporary price impact. More precisely, for the case where the risky asset is given by the Ornstein-Uhlenbeck diffusion process we…

投资组合管理 · 定量金融 2025-10-01 Yan Dolinsky

We consider the optimal investment and marginal utility pricing problem of a risk averse agent and quantify their exposure to a small amount of model uncertainty. Specifically, we compute explicitly the first-order sensitivity of their…

数理金融 · 定量金融 2021-11-15 Jan Obloj , Johannes Wiesel

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

人工智能 · 计算机科学 2013-02-08 Carla P. Gomes , Bart Selman

We quantify model risk of a financial portfolio whereby a multi-period mean-standard-deviation criterion is used as a selection criterion. In this work, model risk is defined as the loss due to uncertainty of the underlying distribution of…

投资组合管理 · 定量金融 2021-08-06 Spiridon Penev , Pavel V. Shevchenko , Wei Wu

We consider the hedging error of a derivative due to discrete trading in the presence of a drift in the dynamics of the underlying asset. We suppose that the trader wishes to find rebalancing times for the hedging portfolio which enable him…

概率论 · 数学 2014-07-18 Jiatu Cai , Masaaki Fukasawa , Mathieu Rosenbaum , Peter Tankov

We study a continuous-time asset-allocation problem for an insurance firm that backs up liabilities from multiple non-life business lines with underwriting profits and investment income. The insurance risks are captured via a…

投资组合管理 · 定量金融 2021-08-13 Rafael Serrano , Camilo Castillo

In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer…

投资组合管理 · 定量金融 2017-05-08 Xiaoqing Liang , Zbigniew Palmowski

This paper studies a continuous-time market {under stochastic environment} where an agent, having specified an investment horizon and a target terminal mean return, seeks to minimize the variance of the return with multiple stocks and a…

投资组合管理 · 定量金融 2013-02-28 Wan-Kai Pang , Yuan-Hua Ni , Xun Li , Ka-Fai Cedric Yiu

Risk control and optimal diversification constitute a major focus in the finance and insurance industries as well as, more or less consciously, in our everyday life. We present a discussion of the characterization of risks and of the…

统计力学 · 物理学 2015-06-25 Didier Sornette

In this paper we derive the exact solution of the multi-period portfolio choice problem for an exponential utility function under return predictability. It is assumed that the asset returns depend on predictable variables and that the joint…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

In this paper, we consider the problem of optimization of a portfolio consisting of securities. An investor with an initial capital, is interested in constructing a portfolio of securities. If the prices of securities change, the investor…

投资组合管理 · 定量金融 2017-12-05 Oleg Malafeyev , Achal Awasthi

We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a…

统计理论 · 数学 2008-12-10 M. R. Grasselli

We consider a utility-maximization problem in a general semimartingale financial model, subject to constraints on the number of shares held in each risky asset. These constraints are modeled by predictable convex-set-valued processes whose…

投资组合管理 · 定量金融 2013-02-25 Kasper Larsen , Gordan Žitković

The optimal allocation of assets has been widely discussed with the theoretical analysis of risk measures, and pessimism is one of the most attractive approaches beyond the conventional optimal portfolio model. The $\alpha$-risk plays a…

投资组合管理 · 定量金融 2024-05-20 Sungchul Hong , Jong-June Jeon

The paper [12] examines a concept of equilibrium policies instead of optimal controls in stochastic optimization to analyze a mean-variance portfolio selection problem. We follow the same approach in order to investigate the Merton…

最优化与控制 · 数学 2020-04-23 I. Alia , F. Chighoub , N. Khelfallah , J. Vives

Any optimization algorithm based on the risk parity approach requires the formulation of portfolio total risk in terms of marginal contributions. In this paper we use the independence of the underlying factors in the market to derive the…

风险管理 · 定量金融 2014-09-30 Lorenzo Mercuri , Edit Rroji

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

投资组合管理 · 定量金融 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

This paper studies a type of periodic utility maximization for portfolio management in an incomplete market model, where the underlying price diffusion process depends on some external stochastic factors. The portfolio performance is…

投资组合管理 · 定量金融 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu