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This paper presents an optimal strategy for portfolio liquidation under discrete time conditions. We assume that N risky assets held will be liquidated according to the same time interval and order quantity, and the basic price processes of…

Trading and Market Microstructure · Quantitative Finance 2021-03-30 Qixuan Luo , Yu Shi , Handong Li

We prove that Student's t-distribution provides one of the better fits to returns of S&P component stocks and the generalized inverse gamma distribution best fits VIX and VXO volatility data. We further argue that a more accurate measure of…

Statistical Finance · Quantitative Finance 2015-06-16 Tao Ma , R. A. Serota

We study a stochastic control approach to managed futures portfolios. Building on the Schwartz 97 stochastic convenience yield model for commodity prices, we formulate a utility maximization problem for dynamically trading a single-maturity…

Mathematical Finance · Quantitative Finance 2018-11-06 Tim Leung , Raphael Yan

In this paper we model benchmark beating with the increasing convex order (ICX order). The mean constraint in the mean-variance theory of portfolio selection can be regarded as beating a constant. We then investigate the problem of…

Portfolio Management · Quantitative Finance 2023-11-06 Jianming Xia

This paper uses new and recently established methodologies to study the evolutionary dynamics of the cryptocurrency market, and compares the findings with that of the equity market. We begin by applying random matrix theory and principal…

Statistical Finance · Quantitative Finance 2022-04-20 Nick James

The rapid growth of crypto markets has opened new opportunities for investors, but at the same time exposed them to high volatility. To address the challenge of managing dynamic portfolios in such an environment, this paper presents a…

Portfolio Management · Quantitative Finance 2025-07-29 Antonino Castelli , Paolo Giudici , Alessandro Piergallini

We address a portfolio selection problem that combines active (outperformance) and passive (tracking) objectives using techniques from convex analysis. We assume a general semimartingale market model where the assets' growth rate processes…

Portfolio Management · Quantitative Finance 2019-03-19 Ali Al-Aradi , Sebastian Jaimungal

In this paper we develop a novel technique to analyze both isolated and interconnected caches operating under different caching strategies and realistic traffic conditions. The main strength of our approach is the ability to consider…

Performance · Computer Science 2014-11-27 Michele Garetto , Emilio Leonardi , Stefano Traverso

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

Forecasting the flexibility potential of Vehicle-to-Everything (V2X) systems is important for the future of energy networks, where the integration of renewable energy sources and electric vehicles poses significant challenges. In this…

Optimization and Control · Mathematics 2025-02-25 Chaimaa Essayeh , Amin Vilan , Omid Homaee , Vahid Vahidinasab

The role of portfolio construction in the implementation of equity market neutral factors is often underestimated. Taking the classical momentum strategy as an example, we show that one can significantly improve the main strategy's features…

Portfolio Management · Quantitative Finance 2018-10-22 Stefano Ciliberti , Stanislao Gualdi

We study the problem of dynamically trading multiple futures whose underlying asset price follows a multiscale central tendency Ornstein-Uhlenbeck (MCTOU) model. Under this model, we derive the closed-form no-arbitrage prices for the…

Mathematical Finance · Quantitative Finance 2021-02-26 Tim Leung , Yang Zhou

Flexible-joint manipulators are frequently used for increased safety during human-robot collaboration and shared workspace tasks. However, joint flexibility significantly reduces the accuracy of motion, especially at high velocities and…

Robotics · Computer Science 2021-12-07 Dmytro Pavlichenko , Sven Behnke

A constant weight asset allocation is a popular investment strategy and is optimal under a suitable continuous model. We study the tracking error for the target continuous rebalancing strategy by a feasible discrete-in-time rebalancing…

Mathematical Finance · Quantitative Finance 2023-08-21 Masayuki Ando , Masaaki Fukasawa

The rough Bergomi model introduced by Bayer, Friz and Gatheral has been outperforming conventional Markovian stochastic volatility models by reproducing implied volatility smiles in a very realistic manner, in particular for short…

Pricing of Securities · Quantitative Finance 2017-01-17 Antoine Jacquier , Claude Martini , Aitor Muguruza

The rapidly evolving cryptocurrency market presents unique challenges for investment due to its inherent volatility and evolving regulatory environment. Collective price movements can be exploited to construct diversified portfolios with…

Popular Physics · Physics 2026-05-01 Ruixue Jing , Ryota Kobayashi , Luis Enrique Correa Rocha

This work studies the dynamic risk management of the risk-neutral value of the potential credit losses on a portfolio of derivatives. Sensitivities-based hedging of such liability is sub-optimal because of bid-ask costs, pricing models…

Computational Finance · Quantitative Finance 2023-12-22 Roberto Daluiso , Marco Pinciroli , Michele Trapletti , Edoardo Vittori

In this chapter we first briefly review the existing approaches to hedging in rough volatility models. Next, we present a simple but general result which shows that in a one-factor rough stochastic volatility model, any option may be…

Mathematical Finance · Quantitative Finance 2021-05-11 Masaaki Fukasawa , Blanka Horvath , Peter Tankov

The CBOE Volatility Index, known by its ticker symbol VIX, is a popular measure of the market's expected volatility on the SP 500 Index, calculated and published by the Chicago Board Options Exchange (CBOE). It is also often referred to as…

General Finance · Quantitative Finance 2021-06-17 Ali Hirsa , Joerg Osterrieder , Branka Hadji Misheva , Wenxin Cao , Yiwen Fu , Hanze Sun , Kin Wai Wong

Futures trading is the core of futures business, and it is considered as one of the typical complex systems. To investigate the complexity of futures trading, we employ the analytical method of complex networks. First, we use real trading…

Statistical Finance · Quantitative Finance 2015-05-18 Junjie Wang , Shuigeng Zhou , Jihong Guan
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