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We consider a discrete time financial market with proportional transaction costs under model uncertainty, and study a num\'eraire-based semi-static utility maximization problem with an exponential utility preference. The randomization…

Mathematical Finance · Quantitative Finance 2019-08-02 Shuoqing Deng , Xiaolu Tan , Xiang Yu

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

This article investigates a regime-switching investment strategy aimed at mitigating downside risk by reducing market exposure during anticipated unfavorable market regimes. We highlight the statistical jump model (JM) for market regime…

Portfolio Management · Quantitative Finance 2024-09-18 Yizhan Shu , Chenyu Yu , John M. Mulvey

The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

Portfolio Management · Quantitative Finance 2008-12-10 Kasper Larsen , Gordan Zitkovic

In a two-period financial market where a stock is traded dynamically and European options at maturity are traded statically, we study the so-called martingale Schr\"odinger bridge Q*; that is, the minimal-entropy martingale measure among…

Mathematical Finance · Quantitative Finance 2022-04-27 Marcel Nutz , Johannes Wiesel , Long Zhao

We present a simple, yet realistic, agent-based model of an electricity market. The proposed model combines the spot and balancing markets with a resolution of one minute, which enables a more accurate depiction of the physical properties…

Multiagent Systems · Computer Science 2016-12-19 Florian Kühnlenz , Pedro H. J. Nardelli

We introduce a non-Markovian model for electricity markets where the spot price of electricity is driven by several Gaussian Volterra processes, which can be e.g., fractional Brownian motions (fBms), Riemann-Liouville processes or…

Probability · Mathematics 2024-10-22 Yuliya Mishura , Stefania Ottaviano , Tiziano Vargiolu

We consider a collection of derivatives that depend on the price of an underlying asset at expiration or maturity. The absence of arbitrage is equivalent to the existence of a risk-neutral probability distribution on the price; in…

Computational Finance · Quantitative Finance 2020-03-09 Shane Barratt , Jonathan Tuck , Stephen Boyd

In a one-sided limit order book, satisfying some realistic assumptions, where the unaffected price process follows a Levy process, we consider a market agent that wants to liquidate a large position of shares. We assume that the agent has…

Trading and Market Microstructure · Quantitative Finance 2020-11-02 Arne Lokka , Junwei Xu

The Marketron model, introduced by [Halperin, Itkin, 2025], describes price formation in inelastic markets as the nonlinear diffusion of a quasiparticle (the marketron) in a multidimensional space comprising the log-price $x$, a memory…

Pricing of Securities · Quantitative Finance 2025-08-19 Igor Halperin , Andrey Itkin

A representative investor generates realistic and complex security price paths by following this trading strategy: if, a few ticks ago, the market asset had two consecutive upticks or two consecutive downticks, then sell, and otherwise buy.…

Trading and Market Microstructure · Quantitative Finance 2016-09-08 Philip Maymin

Financial markets tend to switch between various market regimes over time, making stationarity-based models unsustainable. We construct a regime-switching model independent of asset classes for risk-adjusted return predictions based on…

Computational Finance · Quantitative Finance 2021-07-13 Nicklas Werge

In this work, we aim to gain a better understanding of the volatility smile observed in options markets through microsimulation (MS). We adopt two types of active traders in our MS model: speculators and arbitrageurs, and call and put…

Pricing of Securities · Quantitative Finance 2008-12-10 G. Qiu , D. Kandhai , P. M. A. Sloot

Recent literature seek to forecast implied volatility derived from equity, index, foreign exchange, and interest rate options using latent factor and parametric frameworks. Motivated by increased public attention borne out of the…

Statistical Finance · Quantitative Finance 2020-09-22 Fearghal Kearney , Han Lin Shang , Lisa Sheenan

We calculate the realized volatility in the spin model of financial markets and examine the returns standardized by the realized volatility. We find that moments of the standardized returns agree with the theoretical values of standard…

Computational Finance · Quantitative Finance 2016-11-28 Tetsuya Takaishi

Several studies have focused on the Realized Range Volatility, an estimator of the quadratic variation of financial prices, taking into account the impact of microstructure noise and jumps. However, none has considered direct modeling and…

Applications · Statistics 2014-10-28 Giovanni Bonaccolto , Massimiliano Caporin

The paper introduces benchmark-neutral pricing and hedging for long-term contingent claims. It employs the growth optimal portfolio of the stocks as numeraire and the new benchmark-neutral pricing measure for pricing. For a realistic…

Mathematical Finance · Quantitative Finance 2024-07-03 Eckhard Platen

A risk-neutral valuation framework is developed for pricing and hedging in-play football bets based on modelling scores by independent Poisson processes with constant intensities. The Fundamental Theorems of Asset Pricing are applied to…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Sebastian del Bano Rollin , Zsolt Bihari , Tomaso Aste

We propose a hedging approach for general contingent claims when liquidity is a concern and trading is subject to transaction cost. Multiple assets with different liquidity levels are available for hedging. Our risk criterion targets a…

Mathematical Finance · Quantitative Finance 2018-07-02 Panagiotis Christodoulou , Nils Detering , Thilo Meyer-Brandis

Existing approaches to asset-pricing under model-uncertainty adapt classical utility-maximization frameworks and seek theoretical comprehensiveness. We move toward practice by considering binary model-risks and by emphasizing 'constraints'…

Mathematical Finance · Quantitative Finance 2025-10-10 Ken Kangda Wren
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