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Organizations are often unable to align the interests of all stakeholders with the financial success of the organization (e.g. due to regulation). However, continuous organizations (COs) introduce a paradigm shift. COs offer immediate…

Optimization and Control · Mathematics 2022-03-22 Howard Heaton , Sam Green

This article contributes to the design and the verification of trusted components and services. The contracts are declined at several levels to cover then different facets, such as component consistency, compatibility or correctness. The…

Software Engineering · Computer Science 2010-10-15 Mohamed Messabihi , Pascal André , Christian Attiogbé

This paper examines a semi-analytical approach for pricing American options in time-inhomogeneous models characterized by negative interest rates (for equity/FX) or negative convenience yields (for commodities/cryptocurrencies). Under such…

Pricing of Securities · Quantitative Finance 2025-07-22 Andrey Itkin , Yerkin Kitapbayev

The problem of investing into a cryptocurrency market requires good understanding of the processes that regulate the price of the currency. In this paper we offer a view of a cryptocurrency market as an environment for realization of a…

Trading and Market Microstructure · Quantitative Finance 2022-10-18 Misha Perepelitsa

This paper introduces a dynamic change of measure approach for computing the analytical solutions of expected future prices (and therefore, expected returns) of contingent claims over a finite horizon. The new approach constructs hybrid…

Pricing of Securities · Quantitative Finance 2022-05-25 Sanjay K. Nawalkha , Xiaoyang Zhuo

We introduce "bond-counting" potentials, which provide an elementary description of covalent bonding. These simplistic potentials are intended for studies of the mechanisms behind a variety of phase transitions in elemental melts, including…

Chemical Physics · Physics 2021-04-09 Shlomi Matityahu , Nathan Argaman

There are a number of situations where, when computing prices of financial derivatives using quasi-Monte Carlo (QMC), it turns out to be beneficial to apply an orthogonal transform to the standard normal input variables. Sometimes those…

Numerical Analysis · Mathematics 2015-08-11 Christian Irrgeher , Gunther Leobacher

We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general…

Risk Management · Quantitative Finance 2014-01-16 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

For the last two decades, most financial markets have undergone an evolution toward electronification. The market for corporate bonds is one of the last major financial markets to follow this unavoidable path. Traditionally quote-driven…

Statistical Finance · Quantitative Finance 2017-03-23 Jean-David Fermanian , Olivier Guéant , Jiang Pu

This paper deals with applications of coherent risk measures to pricing in incomplete markets. Namely, we study the No Good Deals pricing technique based on coherent risk. Two forms of this technique are presented: one defines a good deal…

Probability · Mathematics 2008-12-02 Alexander S. Cherny

We construct a statistical indicator for the detection of short-term asset price bubbles based on the information content of bid and ask market quotes for plain vanilla put and call options. Our construction makes use of the martingale…

Pricing of Securities · Quantitative Finance 2018-07-17 Petteri Piiroinen , Lassi Roininen , Tobias Schoden , Martin Simon

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

Accurately estimating risk measures for financial portfolios is critical for both financial institutions and regulators. However, many existing models operate at the aggregate portfolio level and thus fail to capture the complex…

Portfolio Management · Quantitative Finance 2023-02-10 Emanuel Sommer , Karoline Bax , Claudia Czado

Forming quantitative portfolios using statistical risk models presents a significant challenge for hedge funds and portfolio managers. This research investigates three distinct statistical risk models to construct quantitative portfolios of…

Portfolio Management · Quantitative Finance 2024-09-24 Maysam Khodayari Gharanchaei , Reza Babazadeh

The LIBOR Market Model (LMM) is a widely used model for pricing interest rate derivatives. While the Black-Scholes model is well-known for pricing stock derivatives such as stock options, a larger portion of derivatives are based on…

Quantum Physics · Physics 2022-07-05 Hao Tang , Wenxun Wu , Xian-Min Jin

In decentralized finance, any individual can pool their assets into an automated market maker (AMM) -- herein we focus on the constant product market maker (CPMM) -- in exchange for a claim on a fraction of future pool assets and fees…

Mathematical Finance · Quantitative Finance 2026-01-27 Maxim Bichuch , Zachary Feinstein

In the paper we develop mathematical tools of quantile hedging in incomplete market. Those could be used for two significant applications: o calculating the \textbf{optimal capital requirement imposed by Solvency II} (Directive 2009/138/EC…

Risk Management · Quantitative Finance 2016-03-27 Przemysław Klusik

We investigate the application of quantum cognition machine learning (QCML), a novel paradigm for both supervised and unsupervised learning tasks rooted in the mathematical formalism of quantum theory, to distance metric learning in…

Statistical Finance · Quantitative Finance 2025-02-04 Joshua Rosaler , Luca Candelori , Vahagn Kirakosyan , Kharen Musaelian , Ryan Samson , Martin T. Wells , Dhagash Mehta , Stefano Pasquali

We study convexity and monotonicity properties for prices of bonds and bond options when the short rate is modeled by a diffusion process. We provide conditions under which convexity of the price in the short rate is guaranteed. Under these…

Analysis of PDEs · Mathematics 2008-12-10 Erik Ekstrom , Johan Tysk

We consider the valuation of contingent claims with delayed dynamics in a Black&Scholes complete market model. We find a pricing formula that can be decomposed into terms reflecting the market values of the past and the present, showing how…

Pricing of Securities · Quantitative Finance 2022-07-29 Enrico Biffis , Beniamin Goldys , Cecilia Prosdocimi , Margherita Zanella
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