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The first moment and second central moments of the portfolio return, a.k.a. mean and variance, have been widely employed to assess the expected profit and risk of the portfolio. Investors pursue higher mean and lower variance when designing…

投资组合管理 · 定量金融 2020-08-04 Rui Zhou , Daniel P. Palomar

This paper deals with the estimation of a failure probability of an industrial product. To be more specific, it is defined as the probability that the output of a physical model, with random input variables, exceeds a threshold. The model…

统计理论 · 数学 2019-07-04 Lucie Bernard , Philippe Leduc

A constant rebalanced portfolio is an asset allocation algorithm which keeps the same distribution of wealth among a set of assets along a period of time. Recently, there has been work on on-line portfolio selection algorithms which are…

投资组合管理 · 定量金融 2013-02-01 Yoram Singer

An investment portfolio consists of $n$ algorithmic trading strategies, which generate vectors of positions in trading assets. Sign opposite trades (buy/sell) cross each other as strategies are combined in a portfolio. Then portfolio…

投资组合管理 · 定量金融 2024-12-05 A. V. Kuliga , I. N. Shnurnikov

We consider a financial market in which two securities are traded: a stock and an index. Their prices are assumed to satisfy the Black-Scholes model. Besides assuming that the index is a tradable security, we also assume that it is…

投资组合管理 · 定量金融 2011-09-26 Vladimir Vovk

A new mathematical model for the Black-Scholes equation is proposed to forecast option prices. This model includes new interval for the price of the underlying stock as well as new initial and boundary conditions. Conventional notions of…

数理金融 · 定量金融 2015-03-13 Michael V. Klibanov , Andrey V. Kuzhuget

The purpose of this paper is to utilize statistical methodologies to infer from market prices of assets and their derivatives the magnitude of the set of a measure M that defines acceptance sets of risky future cash flows. Specifically, we…

数理金融 · 定量金融 2023-01-16 Yoshihiro Shirai

In this paper we consider a scenario where there are several algorithms for solving a given problem. Each algorithm is associated with a probability of success and a cost, and there is also a penalty for failing to solve the problem. The…

数据结构与算法 · 计算机科学 2020-08-11 Shlomo Moran , Irad Yavneh

In finance industry portfolio construction deals with how to divide the investors' wealth across an asset-classes' menu in order to maximize the investors' gain. Main approaches in use at the present are based on variations of the classical…

投资组合管理 · 定量金融 2009-07-21 Giordano Pola , Gianni Pola

Blackwell's approachability (Blackwell, 1954, 1956) is a very general online learning framework where a Decision Maker obtains vector-valued outcomes, and aims at the convergence of the average outcome to a given ``target'' set. Blackwell…

最优化与控制 · 数学 2024-08-26 Joon Kwon , Yijun Wan , Bruno Ziliotto

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

投资组合管理 · 定量金融 2009-09-23 Michael J. Neely

This paper considers the constrained portfolio optimization in a generalized life-cycle model. The individual with a stochastic income manages a portfolio consisting of stocks, a bond, and life insurance to maximize his or her consumption…

投资组合管理 · 定量金融 2024-10-29 Wenyuan Li , Pengyu Wei

The sparse portfolio selection problem is one of the most famous and frequently-studied problems in the optimization and financial economics literatures. In a universe of risky assets, the goal is to construct a portfolio with maximal…

最优化与控制 · 数学 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright

Many cryptocurrency brokers nowadays offer a variety of derivative assets that allow traders to perform hedging or speculation. This paper proposes an effective algorithm based on neural networks to take advantage of these investment…

机器学习 · 计算机科学 2023-10-03 Quoc Minh Nguyen , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis , Moncef Gabbouj

Approachability theory, introduced by Blackwell (1956), provides fundamental results on repeated games with vector-valued payoffs, and has been usefully applied since in the theory of learning in games and to learning algorithms in the…

机器学习 · 计算机科学 2013-12-31 Andrey Bernstein , Nahum Shimkin

We propose a convex formulation for a trading system with the Conditional Value-at-Risk as a risk-adjusted performance measure under the notion of Direct Reinforcement Learning. Due to convexity, the proposed approach can uncover a…

交易与市场微观结构 · 定量金融 2021-09-30 Ali Al-Ameer , Khaled Alshehri

We provide a natural learning process in which a financial trader without a risk receives a gain in case when Stock Market is inefficient. In this process, the trader rationally choose his gambles using a prediction made by a randomized…

机器学习 · 计算机科学 2011-05-24 Vladimir Trunov , Vladimir V'yugin

An algorithm was recently introduced by INTECH for the purposes of estimating the trading-profit contribution of systematic rebalancing to the relative return of rules-based investment strategies. We apply this methodology to analyze the…

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

The basic financial purpose of an enterprise is maximization of its value. Trade credit management should also contribute to realization of this fundamental aim. Many of the current asset management models that are found in financial…

投资组合管理 · 定量金融 2013-01-17 Grzegorz Michalski

Machine-learned black-box policies are ubiquitous for nonlinear control problems. Meanwhile, crude model information is often available for these problems from, e.g., linear approximations of nonlinear dynamics. We study the problem of…

机器学习 · 计算机科学 2022-06-06 Tongxin Li , Ruixiao Yang , Guannan Qu , Yiheng Lin , Steven Low , Adam Wierman