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A leveraged exchange traded fund (LETF) is an exchange traded fund that uses financial derivatives to amplify the price changes of a basket of goods. In this paper, we consider the robust hedging of European options on a LETF, finding…

Pricing of Securities · Quantitative Finance 2017-02-24 Alexander M. G. Cox , Sam M. Kinsley

We look at optimal liability-driven portfolios in a family of fat-tailed and extremal risk measures, especially in the context of pension fund and insurance fixed cashflow liability profiles, but also those arising in derivatives books such…

Portfolio Management · Quantitative Finance 2023-05-16 Jan Rosenzweig

We propose a unified structural credit risk model incorporating both insolvency and illiquidity risks, in order to investigate how a firm's default probability depends on the liquidity risk associated with its financing structure. We assume…

Risk Management · Quantitative Finance 2015-04-01 Gechun Liang , Eva Lütkebohmert , Wei Wei

Motivated by the current global high inflation scenario, we aim to discover a dynamic multi-period allocation strategy to optimally outperform a passive benchmark while adhering to a bounded leverage limit. To this end, we formulate an…

Portfolio Management · Quantitative Finance 2023-05-26 Chendi Ni , Yuying Li , Peter A. Forsyth

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance…

Portfolio Management · Quantitative Finance 2008-12-10 N. Lazrieva , T. Toronjadze

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

We expose a theoretical hedging optimization framework with variational preferences under convex risk measures. We explore a general dual representation for the composition between risk measures and utilities. We study the properties of the…

Mathematical Finance · Quantitative Finance 2024-10-11 Marcelo Righi

In the seminal paper on optimal execution of portfolio transactions, Almgren and Chriss (2001) define the optimal trading strategy to liquidate a fixed volume of a single security under price uncertainty. Yet there exist situations, such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Julien Vaes , Raphael Hauser

Risk aversion is a key element of utility maximizing hedge strategies; however, it has typically been assigned an arbitrary value in the literature. This paper instead applies a GARCH-in-Mean (GARCH-M) model to estimate a time-varying…

Risk Management · Quantitative Finance 2011-03-31 John Cotter , Jim Hanly

In this paper we study mean-variance hedging under the G-expectation framework. Our analysis is carried out by exploiting the G-martingale representation theorem and the related probabilistic tools, in a contin- uous financial market with…

Mathematical Finance · Quantitative Finance 2016-08-26 Francesca Biagini , Jacopo Mancin , Thilo Meyer Brandis

Finding the hedge ratios for a portfolio and risk compression is the same mathematical problem. Traditionally, regression is used for this purpose. However, regression has its own limitations. For example, in a regression model, we can't…

Portfolio Management · Quantitative Finance 2023-05-09 Ali Shirazi , Fereshteh Sadeghi Naieni Fard

Discrete time hedging in a complete diffusion market is considered. The hedge portfolio is rebalanced when the absolute difference between delta of the hedge portfolio and the derivative contract reaches a threshold level. The rate of…

Risk Management · Quantitative Finance 2010-04-27 Mats Brodén , Magnus Wiktorsson

Numerous empirical proofs indicate the adequacy of the time discrete auto-regressive stochastic volatility models introduced by Taylor in the description of the log-returns of financial assets. The pricing and hedging of contingent products…

Pricing of Securities · Quantitative Finance 2011-10-31 Joan del Castillo , Juan-Pablo Ortega

Hedging exotic options in presence of market frictions is an important risk management task. Deep hedging can solve such hedging problems by training neural network policies in realistic simulated markets. Training these neural networks may…

Risk Management · Quantitative Finance 2024-10-31 Konrad Mueller , Amira Akkari , Lukas Gonon , Ben Wood

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

Trading and Market Microstructure · Quantitative Finance 2015-04-06 Olivier Guéant , Jiang Pu

Extending Buehler et al.'s 2019 Deep Hedging paradigm, we innovatively employ deep neural networks to parameterize convex-risk minimization (CVaR/ES) for the portfolio tail-risk hedging problem. Through comprehensive numerical experiments…

Portfolio Management · Quantitative Finance 2025-07-01 Yuming Ma

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

Pricing of Securities · Quantitative Finance 2013-03-19 Łukasz Delong , Antoon Pelsser

We consider the holder of an individual tontine retirement account, with maximum and minimum withdrawal amounts (per year) specified. The tontine account holder initiates the account at age 65, and earns mortality credits while alive, but…

Computational Finance · Quantitative Finance 2022-11-22 Peter A. Forsyth , Kenneth R. Vetzal , G. Westmacott

What is the best market-neutral implementation of classical Equity Factors? Should one use the specific predictability of the short-leg to build a zero beta Long-Short portfolio, in spite of the specific costs associated to shorting, or is…

Portfolio Management · Quantitative Finance 2021-04-07 Florent Benaych-Georges , Jean-Philippe Bouchaud , Stefano Ciliberti

We study a quadratic hedging problem for a sequence of contingent claims with random weights in discrete time. We obtain the optimal hedging strategy explicitly in a recursive representation, without imposing the non-degeneracy (ND)…

Mathematical Finance · Quantitative Finance 2020-12-07 Jun Deng , Bin Zou