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In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices. The proposed algorithm is widely applicable and model-independent. We test the accuracy of our methodology in numerical…

Mathematical Finance · Quantitative Finance 2024-06-21 Francesca Biagini , Lukas Gonon , Andrea Mazzon , Thilo Meyer-Brandis

After a market downturn, especially in an uncertain economic environment such as the current state, there can be a relatively long period with a sideways market, where indexes, stocks, etc., move in channels with support and resistance…

Pricing of Securities · Quantitative Finance 2020-06-26 Zura Kakushadze

In this paper we address the problem of dynamic pricing for toll lanes on freeways. The proposed toll mechanism is broken up into two parts: (1) the supply side feedback control that computes the desired split ratios for the incoming…

Systems and Control · Computer Science 2015-05-05 Elena G. Dorogush , Alex A. Kurzhanskiy

We consider a continuous-time financial market with an asset whose price is modeled by a linear stochastic differential equation with drift and volatility switching driven by a uniformly ergodic jump Markov process with a countable state…

Probability · Mathematics 2025-01-14 Vitaliy Golomoziy , Kamil Kladivko , Yuliya Mishura

This paper deals with the problem of discrete-time option pricing by the mixed fractional version of Merton model with transaction costs. By a mean-self-financing delta hedging argument in a discrete-time setting, a European call option…

Pricing of Securities · Quantitative Finance 2017-02-02 Foad Shokrollahi

We investigate pricing-hedging duality for American options in discrete time financial models where some assets are traded dynamically and others, e.g. a family of European options, only statically. In the first part of the paper we…

Optimization and Control · Mathematics 2017-04-11 Anna Aksamit , Shuoqing Deng , Jan Obłój , Xiaolu Tan

In this paper we show that, using only mild assumptions, previously proposed multidimensional blockchain fee markets are essentially optimal, even against worst-case adversaries. In particular, we show that the average welfare gap between…

Computer Science and Game Theory · Computer Science 2024-05-21 Guillermo Angeris , Theo Diamandis , Ciamac Moallemi

This paper mainly discusses the American option's hedging strategies via binomialmodel and the basic idea of pricing and hedging American option. Although the essential scheme of hedging is almost the same as European option, small…

Computational Engineering, Finance, and Science · Computer Science 2007-11-28 Jinshan Zhang

To cope with the negative oil futures price caused by the COVID-19 recession, global commodity futures exchanges temporarily switched the option model from Black--Scholes to Bachelier in 2020. This study reviews the literature on…

Mathematical Finance · Quantitative Finance 2022-04-12 Jaehyuk Choi , Minsuk Kwak , Chyng Wen Tee , Yumeng Wang

The key objective of this paper is to develop an empirical model for pricing SPX options that can be simulated over future paths of the SPX. To accomplish this, we formulate and rigorously evaluate several statistical models, including…

Pricing of Securities · Quantitative Finance 2025-06-24 Alessio Brini , David A. Hsieh , Patrick Kuiper , Sean Moushegian , David Ye

We introduce a new tool for predicting the evolution of an option for the cases where at some specific time, there is a high-degree of uncertainty for identifying its price. We work over the special case where we can predict the evolution…

Pricing of Securities · Quantitative Finance 2019-05-16 Ivan Arraut , Alan Au , Alan Ching-biu Tse , Carlos Segovia

We propose a method for pricing American options whose pay-off depends on the moving average of the underlying asset price. The method uses a finite dimensional approximation of the infinite-dimensional dynamics of the moving average…

Pricing of Securities · Quantitative Finance 2010-11-17 Marie Bernhart , Peter Tankov , Xavier Warin

We propose a hybrid quantum-classical algorithm, originated from quantum chemistry, to price European and Asian options in the Black-Scholes model. Our approach is based on the equivalence between the pricing partial differential equation…

Computational Finance · Quantitative Finance 2021-02-08 Filipe Fontanela , Antoine Jacquier , Mugad Oumgari

An efficient conditioning technique, the so-called Brownian Bridge simulation, has previously been applied to eliminate pricing bias that arises in applications of the standard discrete-time Monte Carlo method to evaluate options written on…

Computational Finance · Quantitative Finance 2009-04-08 P. V. Shevchenko

We address the challenging problem of dynamically pricing complementary items that are sequentially displayed to customers. An illustrative example is the online sale of flight tickets, where customers navigate through multiple web pages.…

The Black-Scholes formula for pricing options on stocks and other securities has been generalized by Merton and Garman to the case when stock volatility is stochastic. The derivation of the price of a security derivative with stochastic…

Condensed Matter · Physics 2009-10-30 B. E. Baaquie

In this paper we provide a quantum Monte Carlo algorithm to solve multidimensional Black-Scholes PDEs with correlation for option pricing. The payoff function of the option is of general form and is only required to be continuous and…

Quantum Physics · Physics 2026-05-05 Jianjun Chen , Yongming Li , Ariel Neufeld

Binomial tree methods (BTM) and explicit difference schemes (EDS) for the variational inequality model of American options with time dependent coefficients are studied. When volatility is time dependent, it is not reasonable to assume that…

Pricing of Securities · Quantitative Finance 2018-08-23 Hyong-chol O , Song-gon Jang , Il-Gwang Jon , Mun-Chol Kim , Gyong-Ryol Kim , Hak-Yong Kim

The digital twin concept represents an appealing opportunity to advance condition-based and predictive maintenance paradigms for civil engineering systems, thus allowing reduced lifecycle costs, increased system safety, and increased system…

Numerical Analysis · Mathematics 2023-11-10 Matteo Torzoni , Marco Tezzele , Stefano Mariani , Andrea Manzoni , Karen E. Willcox

Sequential Monte Carlo (SMC) methods have successfully been used in many applications in engineering, statistics and physics. However, these are seldom used in financial option pricing literature and practice. This paper presents SMC method…

Computational Finance · Quantitative Finance 2020-08-04 Pavel V. Shevchenko , Pierre Del Moral