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We study a robust portfolio optimization problem under model uncertainty for an investor with logarithmic or power utility. The uncertainty is specified by a set of possible L\'evy triplets; that is, possible instantaneous drift, volatility…

数理金融 · 定量金融 2016-03-23 Ariel Neufeld , Marcel Nutz

We consider the problem of seeking an optimal set of model points associated to a fixed portfolio of life insurance policies. Such an optimal set is characterized by minimizing a certain risk functional, which gauges the average discrepancy…

证券定价 · 定量金融 2020-03-24 Enrico Ferri

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

数理金融 · 定量金融 2019-01-31 Ruimeng Hu

Stock price prediction is a challenging task and a lot of propositions exist in the literature in this area. Portfolio construction is a process of choosing a group of stocks and investing in them optimally to maximize the return while…

投资组合管理 · 定量金融 2022-01-17 Jaydip Sen , Ashwin Kumar R S , Geetha Joseph , Kaushik Muthukrishnan , Koushik Tulasi , Praveen Varukolu

For $n$ assets and discrete-time rebalancing, the probability to complete a given schedule of investments and withdrawals is maximized over progressively measurable portfolio weight functions. Applications consider two assets, namely the…

投资组合管理 · 定量金融 2024-10-22 Hayden Brown

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 article deals with the problem of optimal allocation of capital to corporate bonds in fixed income portfolios when there is the possibility of correlated defaults. Under fairly general assumptions for the distribution of the total net…

适应与自组织系统 · 物理学 2008-12-10 Mark B. Wise , Vineer Bhansali

We introduce a dynamic credit portfolio framework where optimal investment strategies are robust against misspecifications of the reference credit model. The risk-averse investor models his fear of credit risk misspecification by…

投资组合管理 · 定量金融 2016-03-29 Agostino Capponi , Lijun Bo

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

投资组合管理 · 定量金融 2013-04-23 Vladimir Cherny , Jan Obloj

We provide analytical results for a static portfolio optimization problem with two coherent risk measures. The use of two risk measures is motivated by joint decision-making for portfolio selection where the risk perception of the portfolio…

投资组合管理 · 定量金融 2021-01-19 Tahsin Deniz Aktürk , Çağın Ararat

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

We discuss a class of risk-sensitive portfolio optimization problems. We consider the portfolio optimization model investigated by Nagai in 2003. The model by its nature can include fixed income securities as well in the portfolio. Under…

投资组合管理 · 定量金融 2008-12-02 Mayank Goel , K. Suresh Kumar

We consider an optimal consumption/investment problem to maximize expected utility from consumption. In this market model, the investor is allowed to choose a portfolio which consists of one bond, one liquid risky asset (no transaction…

数理金融 · 定量金融 2019-01-30 Jin Hyuk Choi

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

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

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

投资组合管理 · 定量金融 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

Portfolio construction is the science of balancing reward and risk; it is at the core of modern finance. In this paper, we tackle the question of optimal decision-making within a Bayesian paradigm, starting from a decision-theoretic…

应用统计 · 统计学 2024-11-12 Nicolas Nguyen , James Ridgway , Claire Vernade

This paper studies the properties of the optimal portfolio-consumption strategies in a {finite horizon} robust utility maximization framework with different borrowing and lending rates. In particular, we allow for constraints on both…

投资组合管理 · 定量金融 2018-12-06 Zhou Yang , Gechun Liang , Chao Zhou

In this paper, we consider the portfolio optimization problem in a financial market where the underlying stochastic volatility model is driven by n-dimensional Brownian motions. At first, we derive a Hamilton-Jacobi-Bellman equation…

数理金融 · 定量金融 2024-12-20 Minglian Lin , Indranil SenGupta

We investigate an optimal investment problem with a general performance criterion which, in particular, includes discontinuous functions. Prices are modeled as diffusions and the market is incomplete. We find an explicit solution for the…

概率论 · 数学 2008-12-02 Nikolai Dokuchaev , Ulrich Haussmann