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In this research, we develop a trading strategy for the discrete-time optimal liquidation problem of large order trading with different market microstructures in an illiquid market. In this framework, the flow of orders can be viewed as a…

Trading and Market Microstructure · Quantitative Finance 2015-12-29 A. Sadoghi , J. Vecer

We consider the problem of calculating risk-neutral implied volatilities of European options without relying on option mid prices but solely on bid and ask prices. We provide an approach, based on the conic finance paradigm, that allows to…

Mathematical Finance · Quantitative Finance 2021-10-25 Matteo Michielon , Asma Khedher , Peter Spreij

It has been assumed that arbitrage profits are not possible in efficient markets, because future prices are not predictable. Here we show that predictability alone is not a sufficient measure of market efficiency. We instead propose to…

Statistical Mechanics · Physics 2009-11-10 R. Rothenstein , K. Pawelzik

We study the estimation of leverage effect and volatility of volatility by using high-frequency data with the presence of jumps. We first construct spot volatility estimator by using the empirical characteristic function of the…

Methodology · Statistics 2026-03-03 Qiang Liu , Zhi Liu , Wang Zhou

We consider a financial market in which traders potentially face restrictions in trading some of the available securities. Traders are heterogeneous with respect to their beliefs and risk profiles, and the market is assumed thin: traders…

Economics · Quantitative Finance 2023-12-06 Michail Anthropelos , Constantinos Kardaras

This article presents a generic model for pricing financial derivatives subject to counterparty credit risk. Both unilateral and bilateral types of credit risks are considered. Our study shows that credit risk should be modeled as American…

Pricing of Securities · Quantitative Finance 2018-04-09 David Lee

The introduction of CCPs in most derivative transactions will dramatically change the landscape of derivatives pricing, hedging and risk management, and, according to the TABB group, will lead to an overall liquidity impact about 2 USD…

Pricing of Securities · Quantitative Finance 2014-01-17 Damiano Brigo , Andrea Pallavicini

We derive valuations of a portfolio of financial instruments from a securities lending perspective, under different assumptions, and show a weighting scheme that converges to the true valuation. We illustrate conditions under which our…

Pricing of Securities · Quantitative Finance 2019-07-23 Ravi Kashyap

We consider an optimal liquidation problem with instantaneous price impact and stochastic resilience for small instantaneous impact factors. Within our modelling framework, the optimal portfolio process converges to the solution of an…

Mathematical Finance · Quantitative Finance 2023-07-07 Ulrich Horst , Evgueni Kivman

This paper studies a finite-horizon portfolio selection problem with non-concave terminal utility and proportional transaction costs, in which the commonly used concavification principle for terminal value is no longer applicable. We…

Mathematical Finance · Quantitative Finance 2025-06-04 Shuaijie Qian , Chen Yang

This paper examines the dividend and investment policies of a cash constrained firm that has access to costly external funding. We depart from the literature by allowing the firm to issue collateralized debt to increase its investment in…

Portfolio Management · Quantitative Finance 2015-11-05 Erwan Pierre , Stéphane Villeneuve , Xavier Warin

In order to deal with market power that sporadically results from contingencies (e.g., severe weather, plant outages) most electricity markets have institutions in charge of monitoring market performance and mitigating market power. The…

Optimization and Control · Mathematics 2017-03-07 Shi Pu , Alfredo Garcia

We study an optimal execution problem in a continuous-time market model that considers market impact. We formulate the problem as a stochastic control problem and investigate properties of the corresponding value function. We find that…

Trading and Market Microstructure · Quantitative Finance 2014-12-16 Takashi Kato

Financial speculators often seek to increase their potential gains with leverage. Debt is a popular form of leverage, and with over 39.88B USD of total value locked (TVL), the Decentralized Finance (DeFi) lending markets are thriving.…

General Finance · Quantitative Finance 2021-10-04 Kaihua Qin , Liyi Zhou , Pablo Gamito , Philipp Jovanovic , Arthur Gervais

Three traits of decentralized finance are studied. First, the market impact function is derived for optimal-growth liquidity providers. For a standard random walk, the classic square-root impact is recovered. An extension is then derived to…

Portfolio Management · Quantitative Finance 2026-01-19 B. K. Meister

We deal with the optimal execution problem when the broker's goal is to reach a performance barrier avoiding a downside barrier. The performance is provided by the wealth accumulated by trading in the market, the shares detained by the…

Mathematical Finance · Quantitative Finance 2026-04-27 Emilio Barucci , Yuheng Lan

Within the context of risk integration, we introduce in risk measurement stochastic holding period (SHP) models. This is done in order to obtain a `liquidity-adjusted risk measure' characterized by the absence of a fixed time horizon. The…

Risk Management · Quantitative Finance 2010-10-21 Damiano Brigo , Claudio Nordio

This paper empirically analyzes a dataset published by the European Banking Authority. Our main aim was to study how the Leverage Ratio is affected by adverse financial scenarios. This was be followed by observing how Leverage Ratio…

Risk Management · Quantitative Finance 2022-06-27 Jatin Dhingra , Kartikeya Singh , Siddhartha P. Chakrabarty

Utility based methods provide a very general theoretically consistent approach to pricing and hedging of securities in incomplete financial markets. Solving problems in the utility based framework typically involves dynamic programming,…

Probability · Mathematics 2008-12-10 M. R. Grasselli , T. R. Hurd

Multistage risk-averse optimal control problems with nested conditional risk mappings are gaining popularity in various application domains. Risk-averse formulations interpolate between the classical expectation-based stochastic and minimax…

Optimization and Control · Mathematics 2019-03-19 Pantelis Sopasakis , Mathijs Schuurmans , Panagiotis Patrinos