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We focus on two particular aspects of model risk: the inability of a chosen model to fit observed market prices at a given point in time (calibration error) and the model risk due to recalibration of model parameters (in contradiction to…

Risk Management · Quantitative Finance 2018-10-23 Yu Feng , Ralph Rudd , Christopher Baker , Qaphela Mashalaba , Melusi Mavuso , Erik Schlögl

In this paper we propose and analyse a method for estimating three quantities related to an Asian option: the fair price, the cumulative distribution function, and the probability density. The method involves preintegration with respect to…

Numerical Analysis · Mathematics 2023-11-13 Alexander D. Gilbert , Frances Y. Kuo , Ian H. Sloan , Abirami Srikumar

Managing exotic derivatives requires accurate mark-to-market pricing and stable Greeks for reliable hedging. The Local Volatility (LV) model distinguishes itself from other pricing models by its ability to match observable market prices…

Computational Finance · Quantitative Finance 2025-09-24 Ruozhong Yang , Hao Qin , Charlie Che , Liming Feng

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

Statistical Finance · Quantitative Finance 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

In this article, we combine replication pricing with expectation pricing for derivative trades that are partially collateralized by cash. The derivatives are replicated by underlying assets and cash, using repurchasing agreement (repo) and…

Pricing of Securities · Quantitative Finance 2013-02-05 Lixin Wu

We revisit the problem of pricing and hedging plain vanilla single-currency interest rate derivatives using multiple distinct yield curves for market coherent estimation of discount factors and forward rates with different underlying rate…

Pricing of Securities · Quantitative Finance 2012-08-02 Marco Bianchetti

This paper considers the case of pricing discretely-sampled variance swaps under the class of equity-interest rate hybridization. Our modeling framework consists of the equity which follows the dynamics of the Heston stochastic volatility…

Pricing of Securities · Quantitative Finance 2020-04-14 Teh Raihana Nazirah Roslan , Wenjun Zhang , Jiling Cao

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial…

Statistical Mechanics · Physics 2008-12-02 Miquel Montero

Financial markets are nonlinear with complexity, where different types of assets are traded between buyers and sellers, each having a view to maximize their Return on Investment (ROI). Forecasting market trends is a challenging task since…

Trading and Market Microstructure · Quantitative Finance 2024-11-22 Sahand Hassanizorgabad

In the present work, the European option pricing SWIFT method is extended for Heston model calibration. The computation of the option price gradient is simplified thanks to the knowledge of the characteristic function in closed form. The…

Computational Finance · Quantitative Finance 2021-03-03 Eudald Romo , Luis Ortiz-Gracia

It is commonly accepted that Commodities futures and forward prices, in principle, agree under some simplifying assumptions. One of the most relevant assumptions is the absence of counterparty risk. Indeed, due to margining, futures have…

Pricing of Securities · Quantitative Finance 2009-01-09 Damiano Brigo , Kyriakos Chourdakis , Imane Bakkar

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

The integration of renewable energy into electricity markets poses significant challenges to price stability and increases the complexity of market operations. Accurate and reliable electricity price forecasting is crucial for effective…

Machine Learning · Computer Science 2025-02-10 Ciaran O'Connor , Mohamed Bahloul , Roberto Rossi , Steven Prestwich , Andrea Visentin

In settings where full incentive-compatibility is not available, such as core-constraint combinatorial auctions and budget-balanced combinatorial exchanges, we may wish to design mechanisms that are as incentive-compatible as possible. This…

Computer Science and Game Theory · Computer Science 2015-03-24 Benjamin Lubin

Many pre-trained models (PTMs) are available in modern applications. Because different PTMs are often trained on different datasets, their performances can vary substantially for different new tasks, and the ranking of the candidates may…

Methodology · Statistics 2026-05-14 Ziwen Gao , Baihua He , Yuhong Yang

The solution of option-pricing problems may turn out to be computationally demanding due to non-linear and path-dependent payoffs, the high dimensionality arising from multiple underlying assets, and sophisticated models of price dynamics.…

Quantum Physics · Physics 2025-11-10 Nikita Guseynov , Mikel Sanz , Ángel Rodríguez-Rozas , Nana Liu , Javier Gonzalez-Conde

The research presented in this article provides an alternative option pricing approach for a class of rough fractional stochastic volatility models. These models are increasingly popular between academics and practitioners due to their…

Pricing of Securities · Quantitative Finance 2019-08-02 Raul Merino , Jan Pospíšil , Tomáš Sobotka , Tommi Sottinen , Josep Vives

Quantitative trading is an integral part of financial markets with high calculation speed requirements, while no quantum algorithms have been introduced into this field yet. We propose quantum algorithms for high-frequency statistical…

Quantum Physics · Physics 2022-08-24 Xi-Ning Zhuang , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

Accurate and efficient pricing of multi-asset basket options poses a significant challenge, especially when dealing with complex real-world data. In this work, we investigate the role of quantum-enhanced uncertainty modeling in financial…

Quantum Physics · Physics 2026-02-12 Muhammad Kashif , Shaf Khalid , Nouhaila Innan , Alberto Marchisio , Muhammad Shafique

We study a novel pricing operator for complete, local martingale models. The new pricing operator guarantees put-call parity to hold for model prices and the value of a forward contract to match the buy-and-hold strategy, even if the…

Pricing of Securities · Quantitative Finance 2013-11-26 Peter Carr , Travis Fisher , Johannes Ruf
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