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An investor with constant relative risk aversion and an infinite planning horizon trades a risky and a safe asset with constant investment opportunities, in the presence of small transaction costs and a binding exogenous portfolio…

Portfolio Management · Quantitative Finance 2013-01-09 Johannes Muhle-Karbe , Ren Liu

We propose a new indicator for technical analysis. The indicator emphasizes maximums and minimums in price series with inherent smoothing and has a potential to be useful in both mechanical trading rules and chart pattern analysis.

Statistical Finance · Quantitative Finance 2011-02-24 Z. K. Silagadze

This paper is concerned with an optimal stock selling rule under a Markov chain model. The objective is to find an optimal stopping time to sell the stock so as to maximize an expected return. Solutions to the associated variational…

Pricing of Securities · Quantitative Finance 2013-10-01 Qing Zhang

The classical optimal trading problem is the closure of a position in an asset over a time interval; the trader maximizes an expected utility under the constraint that the position be fully closed by terminal time. Since the asset price is…

Probability · Mathematics 2023-08-07 Mervan Aksu , Alexandre Popier , Ali Devin Sezer

We study financial networks where banks are connected by debt contracts. We consider the operation of debt swapping when two creditor banks decide to exchange an incoming payment obligation, thus leading to a locally different network…

Risk Management · Quantitative Finance 2021-07-13 Pál András Papp , Roger Wattenhofer

Blockchain technology, while revolutionary in enabling decentralized transactions, faces scalability challenges as the ledger must be replicated across all nodes of the chain, limiting throughput and efficiency. Sharding, which divides the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-09 Björn Assmann , Samuel J. Burri

This paper addresses the challenges faced in large-volume trading, where executing substantial orders can result in significant market impact and slippage. To mitigate these effects, this study proposes a volatility-volume-based order…

Computational Finance · Quantitative Finance 2024-12-18 Ritwika Chattopadhyay , Abhishek Malichkar , Zhixuan Ren , Xinyue Zhang

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

The paper describes a general glance to the use of element exchange techniques for optimization over permutations. A multi-level description of problems is proposed which is a fundamental to understand nature and complexity of optimization…

Data Structures and Algorithms · Computer Science 2011-02-23 Mark Sh. Levin

We compare optimal static and dynamic solutions in trade execution. An optimal trade execution problem is considered where a trader is looking at a short-term price predictive signal while trading. When the trader creates an instantaneous…

Trading and Market Microstructure · Quantitative Finance 2019-07-23 Claudio Bellani , Damiano Brigo , Alex Done , Eyal Neuman

We consider the problem of utility maximization for small traders on incomplete financial markets. As opposed to most of the papers dealing with this subject, the investors' trading strategies we allow underly constraints described by…

Probability · Mathematics 2008-12-10 Ying Hu , Peter Imkeller , Matthias Muller

This work is about optimal order execution, where a large order is split into several small orders to maximize the implementation shortfall. Based on the diversity of cryptocurrency exchanges, we attempt to extract cross-exchange signals by…

Trading and Market Microstructure · Quantitative Finance 2023-07-03 Cong Zheng , Jiafa He , Can Yang

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

Mathematical Finance · Quantitative Finance 2023-08-15 David Evangelista , Yuri Thamsten

Pair trading is one of the most effective statistical arbitrage strategies which seeks a neutral profit by hedging a pair of selected assets. Existing methods generally decompose the task into two separate steps: pair selection and trading.…

Computational Finance · Quantitative Finance 2023-09-26 Weiguang Han , Boyi Zhang , Qianqian Xie , Min Peng , Yanzhao Lai , Jimin Huang

A small investor provides liquidity at the best bid and ask prices of a limit order market. For small spreads and frequent orders of other market participants, we explicitly determine the investor's optimal policy and welfare. In doing so,…

Trading and Market Microstructure · Quantitative Finance 2015-02-27 Christoph Kühn , Johannes Muhle-Karbe

We introduce a simple stochastic volatility model, whose novelty consists in taking into account hitting times of the asset price, and study the optimal stopping problem corresponding to a put option whose time horizon (after the asset…

Pricing of Securities · Quantitative Finance 2017-03-29 Sigurd Assing , Yufan Zhao

An option is a financial agreement between two parties to trade two assets. One party is given the right, but not the obligation, to complete the swap before a specified termination time. In todays financial markets, an option is considered…

Cryptography and Security · Computer Science 2022-05-09 Daniel Engel , Yingjie Xue

In a market with one safe and one risky asset, an investor with a long horizon, constant investment opportunities, and constant relative risk aversion trades with small proportional transaction costs. We derive explicit formulas for the…

Portfolio Management · Quantitative Finance 2013-01-15 Stefan Gerhold , Paolo Guasoni , Johannes Muhle-Karbe , Walter Schachermayer

In this note we consider the maximization of the expected terminal wealth for the setup of quadratic transaction costs. First, we provide a very simple probabilistic solution to the problem. Although the problem was largely studied, as far…

Computational Finance · Quantitative Finance 2024-08-06 Yan Dolinsky , Doron Greenstein

Silkswap is an automated market maker model designed for efficient stablecoin trading with minimal price impact. The original purpose of Silkswap is to facilitate the trading of fiat-pegged stablecoins with the stablecoin Silk, but it can…

Computational Finance · Quantitative Finance 2023-02-16 Nicola Cantarutti , Alex Harker , Carter Woetzel
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