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We present an arbitrage free theoretical framework for modeling bid and ask prices of dividend paying securities in a discrete time setup using theory of dynamic acceptability indices. In the first part of the paper we develop the theory of…

证券定价 · 定量金融 2014-12-31 Tomasz R. Bielecki , Igor Cialenco , Tao Chen

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

证券定价 · 定量金融 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

We present a deep learning framework for pricing options based on market-implied volatility surfaces. Using end-of-day S\&P 500 index options quotes from 2018-2023, we construct arbitrage-free volatility surfaces and generate training data…

计算金融 · 定量金融 2025-09-09 Lijie Ding , Egang Lu , Kin Cheung

Internet advertisers (buyers) repeatedly procure ad impressions from ad platforms (sellers) with the aim to maximize total conversion (i.e. ad value) while respecting both budget and return-on-investment (ROI) constraints for efficient…

计算机科学与博弈论 · 计算机科学 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang , Vahab Mirrokni

Options on baskets (linear combinations) of assets are notoriously challenging to price using even the simplest log-normal continuous-time stochastic models for the individual assets. The paper [5] gives a closed form approximation formula…

证券定价 · 定量金融 2023-02-20 Dongdong Hu , Hasanjan Sayit , Frederi Viens

Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

最优化与控制 · 数学 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

We develop robust pricing and hedging of a weighted variance swap when market prices for a finite number of co--maturing put options are given. We assume the given prices do not admit arbitrage and deduce no-arbitrage bounds on the weighted…

证券定价 · 定量金融 2012-09-19 Mark H. A. Davis , Jan Obloj , Vimal Raval

We find various exact solutions for a new stochastic volatility (SV) model: the transition probability density, European-style option values, and (when it exists) the martingale defect. This may represent the first example of an SV model…

计算金融 · 定量金融 2019-05-28 Alan L. Lewis

We examine trade-offs among stakeholders in ad auctions. Our metrics are the revenue for the utility of the auctioneer, the number of clicks for the utility of the users and the welfare for the utility of the advertisers. We show how to…

计算机科学与博弈论 · 计算机科学 2014-04-22 Yoram Bachrach , Sofia Ceppi , Ian A. Kash , Peter Key , David Kurokawa

Predicting customers' long-term revenue from sparse and irregular transaction data is central to marketing resource allocation in non-contractual settings, yet existing approaches face a trade-off. Traditional probabilistic customer base…

机器学习 · 统计学 2026-04-27 Jeffrey Näf , Riana Valera Mbelson , Markus Meierer

We consider a dynamic market model of liquidity where unmatched buy and sell limit orders are stored in order books. The resulting net demand surface constitutes the sole input to the model. We prove that generically there is no arbitrage…

数理金融 · 定量金融 2018-04-10 Sergey Lototsky , Henry Schellhorn , Ran Zhao

We propose two parametric approaches to evaluate swing contracts with firm constraints. Our objective is to define approximations for the optimal control, which represents the amounts of energy purchased throughout the contract. The first…

数理金融 · 定量金融 2024-06-13 Vincent Lemaire , Gilles Pagès , Christian Yeo

A statistical decision problem is hidden in the core of option pricing. A simple form for the price C of a European call option is obtained via the minimum Bayes risk, R_B, of a 2-parameter estimation problem, thus justifying calling C…

证券定价 · 定量金融 2013-04-19 Yannis G. Yatracos

We develop an optimization model and corresponding algorithm for the management of a demand-side platform (DSP), whereby the DSP aims to maximize its own profit while acquiring valuable impressions for its advertiser clients. We formulate…

最优化与控制 · 数学 2017-06-07 Paul Grigas , Alfonso Lobos , Zheng Wen , Kuang-chih Lee

We consider the problem of option pricing under stochastic volatility models, focusing on the linear approximation of the two processes known as exponential Ornstein-Uhlenbeck and Stein-Stein. Indeed, we show they admit the same limit…

证券定价 · 定量金融 2010-11-23 Giacomo Bormetti , Valentina Cazzola , Danilo Delpini

First-price auctions have largely replaced traditional bidding approaches based on Vickrey auctions in programmatic advertising. As far as learning is concerned, first-price auctions are more challenging because the optimal bidding strategy…

机器学习 · 计算机科学 2021-11-23 Juliette Achddou , Olivier Cappé , Aurélien Garivier

Recent studies have demonstrated the efficiency of Variational Autoencoders (VAE) to compress high-dimensional implied volatility surfaces into a low dimensional representation. Although this method can be effectively used for pricing…

计算金融 · 定量金融 2022-12-09 Sándor Kunsági-Máté , Gábor Fáth , István Csabai , Gábor Molnár-Sáska

This paper studies an online selection problem, where a seller seeks to sequentially sell multiple copies of an item to arriving buyers. We consider an adversarial setting, making no modeling assumptions about buyers' valuations for the…

计算机科学与博弈论 · 计算机科学 2024-10-11 Bo Sun , Hossein Nekouyan Jazi , Xiaoqi Tan , Raouf Boutaba

Internet search results are a growing and highly profitable advertising platform. Search providers auction advertising slots to advertisers on their search result pages. Due to the high volume of searches and the users' low tolerance for…

数据库 · 计算机科学 2016-11-17 David J. Martin , Johannes Gehrke , Joseph Y. Halpern

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

最优化与控制 · 数学 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov
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