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We introduce and study online conversion with switching costs, a family of online problems that capture emerging problems at the intersection of energy and sustainability. In this problem, an online player attempts to purchase…

Data Structures and Algorithms · Computer Science 2024-11-11 Adam Lechowicz , Nicolas Christianson , Bo Sun , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

An investor with constant relative risk aversion trades a safe and several risky assets with constant investment opportunities. For a small fixed transaction cost, levied on each trade regardless of its size, we explicitly determine the…

Portfolio Management · Quantitative Finance 2013-10-23 Albert Altarovici , Johannes Muhle-Karbe , H. Mete Soner

The author presents alternatives to the Black-Scholes european call option pricing model by incorporating different transaction cost structures in the replicating strategy. In particular, an exponentially decreasing structure is proposed…

Risk Management · Quantitative Finance 2021-12-21 F. G. Bellora , G. Mazzei , M. Maurette

Transfer learning is an emerging and popular paradigm for utilizing existing knowledge from previous learning tasks to improve the performance of new ones. In this paper, we propose a novel concept of transfer risk and and analyze its…

Mathematical Finance · Quantitative Finance 2023-11-07 Haoyang Cao , Haotian Gu , Xin Guo , Mathieu Rosenbaum

American options are studied in a general discrete market in the presence of proportional transaction costs, modelled as bid-ask spreads. Pricing algorithms and constructions of hedging strategies, stopping times and martingale…

Pricing of Securities · Quantitative Finance 2008-12-02 Alet Roux , Tomasz Zastawniak

In the paper a problem of risk measures on a discrete-time market model with transaction costs is studied. Strategy effectiveness and shortfall risk is introduced. This paper is a generalization of quantile hedging presented in [4].

Mathematical Finance · Quantitative Finance 2016-01-14 Michał Barski

We consider fractional Black-Scholes market with proportional transaction costs. When transaction costs are present, one trades periodically i.e. we have the discrete trading with equidistance $n^{-1}$ between trading times. We derive a non…

Pricing of Securities · Quantitative Finance 2010-05-04 Ehsan Azmoodeh

We consider a market consisting of one safe and one risky asset, which offer constant investment opportunities. Taking into account both proportional transaction costs and linear price impact, we derive optimal rebalancing policies for…

Portfolio Management · Quantitative Finance 2017-09-05 Ren Liu , Johannes Muhle-Karbe , Marko H. Weber

The aim of this article is to propose a core game theory model of transaction costs wherein it is indicated how direct costs determine the probability of loss and subsequent transaction costs. The existence of optimum is proven, and the way…

Theoretical Economics · Economics 2020-08-25 László Kállay , Tibor Takács , László Trautmann

A well known result in stochastic analysis reads as follows: for an $\mathbb{R}$-valued super-martingale $X = (X_t)_{0\leq t \leq T}$ such that the terminal value $X_T$ is non-negative, we have that the entire process $X$ is non-negative.…

Pricing of Securities · Quantitative Finance 2014-05-27 Walter Schachermayer

In this work, we explore the possibility of utilizing transfer learning techniques to address the financial portfolio optimization problem. We introduce a novel concept called "transfer risk", within the optimization framework of transfer…

Portfolio Management · Quantitative Finance 2023-07-26 Haoyang Cao , Haotian Gu , Xin Guo , Mathieu Rosenbaum

In the project portfolio management, the project selection phase presents the greatest interest. In this article, we focus on this important phase by proposing a new method of projects selection consisting of several steps. We propose as a…

Software Engineering · Computer Science 2015-03-19 Khadija BENAIJA , Laila KJIRI

Transactional cloud applications such as payment, booking, reservation systems, and complex business workflows are currently being rewritten for deployment in the cloud. This migration to the cloud is happening mainly for reasons of cost…

In this paper we consider a discrete-time risk sensitive portfolio optimization over a long time horizon with proportional transaction costs. We show that within the log-return i.i.d. framework the solution to a suitable Bellman equation…

Portfolio Management · Quantitative Finance 2022-01-11 Marcin Pitera , Łukasz Stettner

The theory of optimal trading under proportional transaction costs has been considered from a variety of perspectives. In this paper, we show that all the results can be interpreted using a universal law, illustrating the results in trading…

Trading and Market Microstructure · Quantitative Finance 2016-03-22 Richard J Martin

Assuming frictionless trading, classical stochastic portfolio theory (SPT) provides relative arbitrage strategies. However, the costs associated with real-world execution are state-dependent, volatile, and under increasing stress during…

Portfolio Management · Quantitative Finance 2025-07-15 Nader Karimi , Erfan Salavati

We consider a continuous-time market with proportional transaction costs. Under appropriate assumptions we prove the existence of optimal strategies for investors who maximize their worst-case utility over a class of possible models. We…

Mathematical Finance · Quantitative Finance 2018-12-06 Huy N. Chau , Miklos Rasonyi

We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

Optimization and Control · Mathematics 2025-02-07 Chutian Ma , Paul Smith

We study the explicit calculation of the set of superhedging portfolios of contingent claims in a discrete-time market model for d assets with proportional transaction costs. The set of superhedging portfolios can be obtained by a recursive…

Pricing of Securities · Quantitative Finance 2014-05-22 Andreas Löhne , Birgit Rudloff

This paper considers portfolio construction in a dynamic setting. We specify a loss function comprised of utility and complexity components with an unknown tradeoff parameter. We develop a novel regret-based criterion for selecting the…

Portfolio Management · Quantitative Finance 2017-07-25 David Puelz , P. Richard Hahn , Carlos Carvalho