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相关论文: Option Pricing without Price Dynamics: A Probabili…

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We develop quantum algorithms for pricing Asian and barrier options under the Heston model, a popular stochastic volatility model, and estimate their costs, in terms of T-count, T-depth and number of logical qubits, on instances under…

量子物理 · 物理学 2024-10-23 Guoming Wang , Angus Kan

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

最优化与控制 · 数学 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

Following the foundational work of the Black--Scholes model, extensive research has been developed to price the option by addressing its underlying assumptions and associated pricing biases. This study introduces a novel framework for…

数理金融 · 定量金融 2025-08-21 Tapan Kar , Suprio Bhar , Barun Sarkar , Sesha Meka

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

概率论 · 数学 2014-01-10 Idris Kharroubi , Huyen Pham

We build a methodology that takes a given option price in the tails with strike $K$ and extends (for calls, all strikes > $K$, for puts all strikes $< K$) assuming the continuation falls into what we define as "Karamata Constant" over which…

证券定价 · 定量金融 2023-03-21 Nassim Nicholas Taleb , Brandon Yarckin , Chitpuneet Mann , Damir Delic , Mark Spitznagel

In this paper we propose a new model for pricing stock and dividend derivatives. We jointly specify dynamics for the stock price and the dividend rate such that the stock price is positive and the dividend rate non-negative. In its simplest…

数理金融 · 定量金融 2019-08-27 Sander Willems

Options are financial instruments that depend on the underlying stock. We explain their non-Gaussian fluctuations using the nonextensive thermodynamics parameter $q$. A generalized form of the Black-Scholes (B-S) partial differential…

统计力学 · 物理学 2009-11-07 Lisa Borland

In this paper we study the pricing of exchange options when underlying assets have stochastic volatility and stochastic correlation. An approximation using a closed-form approximation based on a Taylor expansion of the conditional price is…

证券定价 · 定量金融 2020-01-14 Enrique Villamor , Pablo Olivares

We consider stochastic volatility models under parameter uncertainty and investigate how model derived prices of European options are affected. We let the pricing parameters evolve dynamically in time within a specified region, and…

数理金融 · 定量金融 2018-07-12 Samuel N. Cohen , Martin Tegnér

The main objective of this paper is to present an algorithm of pricing perpetual American put options with asset-dependent discounting. The value function of such an instrument can be described as \begin{equation*}…

数理金融 · 定量金融 2021-03-05 Jonas Al-Hadad , Zbigniew Palmowski

We consider the problem of dynamic pricing with limited supply. A seller has $k$ identical items for sale and is facing $n$ potential buyers ("agents") that are arriving sequentially. Each agent is interested in buying one item. Each…

计算机科学与博弈论 · 计算机科学 2013-11-27 Moshe Babaioff , Shaddin Dughmi , Robert Kleinberg , Aleksandrs Slivkins

We consider an agent who needs to buy (or sell) a relatively small amount of asset over some fixed short time interval. We work at the highest frequency meaning that we wish to find the optimal tactic to execute our quantity using limit…

交易与市场微观结构 · 定量金融 2018-03-16 Charles-Albert Lehalle , Othmane Mounjid , Mathieu Rosenbaum

We investigate the optimal pricing strategy in a service-providing framework, where customers can leave the system prior to service completion. In this setting, a price is quoted to an incoming customer based on the current number of…

最优化与控制 · 数学 2026-05-05 Jieqi Di , Sigrún Andradóttir , Hayriye Ayhan

Here we develop an option pricing method based on Legendre series expansion of the density function. The key insight, relying on the close relation of the characteristic function with the series coefficients, allows to recover the density…

数理金融 · 定量金融 2017-03-21 Julien Hok , Tat Lung Chan

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

数理金融 · 定量金融 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

Internet search companies sell advertisement slots based on users' search queries via an auction. Advertisers have to determine how to place bids on the keywords of their interest in order to maximize their return for a given budget: this…

数据结构与算法 · 计算机科学 2007-09-24 S. Muthukrishnan , Martin Pal , Zoya Svitkina

Traditional insurance pricing relies on risk-based principles that ensure actuarial fairness and solvency but do not explicitly account for policyholders' price sensitivity. We formulate insurance pricing as a decision-making problem and…

机器学习 · 统计学 2026-05-29 Sascha Günther , Dimitri Semenovich , Mario V. Wüthrich

In markets where algorithmic data processing is increasingly prevalent, recommendation algorithms can substantially affect trade and welfare. We consider a setting in which an algorithm recommends a product based on its value to the buyer…

理论经济学 · 经济学 2025-06-17 Shota Ichihashi , Alex Smolin

After a brief review of option pricing theory, we introduce various methods proposed for extracting the statistical information implicit in options prices. We discuss the advantages and drawbacks of each method, the interpretation of their…

凝聚态物理 · 物理学 2007-05-23 Rama Cont

Recorded option pricing datasets are not always freely available. Additionally, these datasets often contain numerous prices which are either higher or lower than can reasonably be expected. Various reasons for these unexpected observations…

计算金融 · 定量金融 2025-01-22 Jaco Visagie