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相关论文: A Unified Formula of the Optimal Portfolio for Pie…

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In hedge funds, convex compensation schemes are adopted to stimulate a high-profit performance for portfolio managers. In economics, non-monotone risk aversion is proposed to argue that individuals may not be risk-averse when the wealth…

最优化与控制 · 数学 2024-11-05 Yang Liu , Zhenyu Shen

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

We develop a novel five-component decomposition of optimal dynamic portfolio choice, which reveals the simultaneous impacts from market incompleteness and wealth-dependent utilities. Under the HARA utility and a nonrandom interest rate, we…

投资组合管理 · 定量金融 2021-08-27 Chenxu Li , Olivier Scaillet , Yiwen Shen

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

最优化与控制 · 数学 2011-02-25 Traian A Pirvu , Huayue Zhang

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

综合经济学 · 经济学 2022-11-10 George Samartzis , Nikitas Pittis

In this paper, we explore the portfolio allocation problem involving an uncertain covariance matrix. We calculate the expected value of the Constant Absolute Risk Aversion (CARA) utility function, marginalized over a distribution of…

投资组合管理 · 定量金融 2023-11-14 Maxime Markov , Vladimir Markov

Assuming that agents' preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal investment strategy in any behavioral law-invariant…

投资组合管理 · 定量金融 2014-02-03 Carole Bernard , Jit Seng Chen , Steven Vanduffel

We maximize the expected utility from terminal wealth for an HARA investor when the market price of risk is an unobservable random variable. We compute the optimal portfolio explicitly and explore the effects of learning by comparing it…

投资组合管理 · 定量金融 2015-02-11 Michele Longo , Alessandra Mainini

Carroll and Kimball (1996) have shown that, in the class of utility functions that are strictly increasing, strictly concave, and have nonnegative third derivatives, hyperbolic absolute risk aversion (HARA) is sufficient for the concavity…

理论经济学 · 经济学 2021-01-06 Alexis Akira Toda

This paper develops a method to derive optimal portfolios and risk premia explicitly in a general diffusion model for an investor with power utility and a long horizon. The market has several risky assets and is potentially incomplete.…

概率论 · 数学 2012-03-08 Paolo Guasoni , Scott Robertson

In this article we solve the problem of maximizing the expected utility of future consumption and terminal wealth to determine the optimal pension or life-cycle fund strategy for a cohort of pension fund investors. The setup is strongly…

数理金融 · 定量金融 2020-08-03 Andreas Lichtenstern , Pavel V. Shevchenko , Rudi Zagst

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

We consider a single-period portfolio selection problem for an investor, maximizing the expected ratio of the portfolio utility and the utility of a best asset taken in hindsight. The decision rules are based on the history of stock returns…

投资组合管理 · 定量金融 2020-06-11 Dmitry B. Rokhlin

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

This paper deals with forward performances of HARA type. Precisely, for a market model in which stock price processes are modeled by a locally bounded $d$-dimensional semimartingale, we elaborate a complete and explicit characterization for…

综合金融 · 定量金融 2013-07-03 Tahir Choulli , Junfeng Ma

We study Pareto efficiency in a pure-exchange economy where agents' preferences are represented by risk-averse monetary utilities. These coincide with law-invariant monetary utilities, and they can be shown to correspond to the class of…

数理金融 · 定量金融 2024-08-15 Mario Ghossoub , Michael Boyuan Zhu

Possibilistic risk theory starts from the hypothesis that risk is modelled by fuzzy numbers. In particular, in a possibilistic portfolio choice problem, the return of a risky asset will be a fuzzy number. The expected utility operators have…

投资组合管理 · 定量金融 2019-07-01 Irina Georgescu , Louis Aimé Fono

This paper develops the first closed-form optimal portfolio allocation formula for a spot asset whose variance follows a GARCH(1,1) process. We consider an investor with constant relative risk aversion (CRRA) utility who wants to maximize…

投资组合管理 · 定量金融 2021-09-02 Marcos Escobar-Anel , Maximilian Gollart , Rudi Zagst

In the present paper, we derive a closed-form solution of the multi-period portfolio choice problem for a quadratic utility function with and without a riskless asset. All results are derived under weak conditions on the asset returns. No…

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

We consider an investor who wants to select her/his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial marke but also the insurable loss to depend on the regime of…

风险管理 · 定量金融 2014-06-25 Bin Zou , Abel Cadenillas
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