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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…

Machine Learning · Computer Science 2023-10-03 Quoc Minh Nguyen , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis , Moncef Gabbouj

In this paper we derive the optimal execution trajectory for a trader who wishes to buy or sell a large position of shares which evolve as a geometric Brownian process in contrast to the arithmetic model which prevails in the existing…

Portfolio Management · Quantitative Finance 2009-11-25 Gerardo Hernandez-del-Valle , Carlos Pacheco-Gonzalez

Performance analysis, from the external point of view of a client who would only have access to returns and holdings of a fund, evolved towards exact attribution made in the context of portfolio optimisation, which is the internal point of…

Portfolio Management · Quantitative Finance 2014-08-08 Bruno Durin

We study the optimal asset allocation problem for a fund manager whose compensation depends on the performance of her portfolio with respect to a benchmark. The objective of the manager is to maximise the expected utility of her final…

Portfolio Management · Quantitative Finance 2020-11-17 Flavio Angelini , Katia Colaneri , Stefano Herzel , Marco Nicolosi

We study optimal investment in a financial market having a finite number of assets from a signal processing perspective. We investigate how an investor should distribute capital over these assets and when he should reallocate the…

Portfolio Management · Quantitative Finance 2015-06-04 Sait Tunc , Suleyman S. Kozat

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

Mathematical Finance · Quantitative Finance 2014-09-23 Krzysztof Turek

This paper mainly discusses the American option's hedging strategies via binomialmodel and the basic idea of pricing and hedging American option. Although the essential scheme of hedging is almost the same as European option, small…

Computational Engineering, Finance, and Science · Computer Science 2007-11-28 Jinshan Zhang

Financial portfolio optimization is a widely studied problem in mathematics, statistics, financial and computational literature. It adheres to determining an optimal combination of weights associated with financial assets held in a…

Portfolio Management · Quantitative Finance 2013-01-21 Ankit Dangi

Based on a recent theorem due to the authors, it is shown how the extreme tail dependence between an asset and a factor or index or between two assets can be easily calibrated. Portfolios constructed with stocks with minimal tail dependence…

Statistical Mechanics · Physics 2008-12-02 Y. Malevergne , D. Sornette

Deep hedging uses recurrent neural networks to hedge financial products that cannot be fully hedged in incomplete markets. Previous work in this area focuses on minimizing some measure of quadratic hedging error by calculating pathwise…

Mathematical Finance · Quantitative Finance 2025-10-21 Alok Das , Kiseop Lee

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

The portfolio optimization problem is a basic problem of financial analysis. In the study, an optimization model for constructing an options portfolio with a certain payoff function has been proposed. The model is formulated as an integer…

Pricing of Securities · Quantitative Finance 2017-07-10 Margarita E. Fatyanova , Mikhail E. Semenov

In FX cash markets, market makers provide liquidity to clients for a wide variety of currency pairs. Because of flow uncertainty and market volatility, they face inventory risk. To mitigate this risk, they typically skew their prices to…

Trading and Market Microstructure · Quantitative Finance 2023-10-31 Alexander Barzykin , Philippe Bergault , Olivier Guéant

A Hedge Fund Index is very useful for tracking the performance of hedge fund investments, especially the timing of fund redemption. This paper presents a methodology for constructing a hedge fund index that is more like a quantitative fund…

General Economics · Economics 2024-03-26 David Xiao

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to the Value at Risk assuming a heavy tail distribution of the stock prices…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Diganta Mukherjee

In this work a relation between a measure of short-term arbitrage in the market and the excess growth of portfolios as a notion of long-term arbitrage is established. The former originates from "Geometric Arbitrage Theory" and the latter…

Mathematical Finance · Quantitative Finance 2019-09-04 P. Liebrich

In financial investing, universal portfolios are a means of constructing portfolios which guarantee a certain level of performance relative to a baseline, while making no statistical assumptions about the future market data. They fall under…

Computational Engineering, Finance, and Science · Computer Science 2021-05-28 Thomas Orton

We consider a simplified model for optimizing a single-asset portfolio in the presence of transaction costs given a signal with a certain autocorrelation and cross-correlation structure. In our setup, the portfolio manager is given two…

Optimization and Control · Mathematics 2024-12-18 Chutian Ma , Paul Smith

Previous literature shows that prevalent risk measures such as Value at Risk or Expected Shortfall are ineffective to curb excessive risk-taking by a tail-risk-seeking trader with S-shaped utility function in the context of portfolio…

Portfolio Management · Quantitative Finance 2020-11-09 John Armstrong , Damiano Brigo , Alex S. L. Tse

We extend Relative Robust Portfolio Optimisation models to allow portfolios to optimise their distance to a set of benchmarks. Portfolio managers are also given the option of computing regret in a way which is more in line with market…

Portfolio Management · Quantitative Finance 2017-01-12 Gonçalo Simões , Mark McDonald , Stacy Williams , Daniel Fenn , Raphael Hauser