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We explore the role that random arbitrage opportunities play in hedging financial derivatives. We extend the asymptotic pricing theory presented by Fedotov and Panayides [Stochastic arbitrage return and its implication for option pricing,…

Other Condensed Matter · Physics 2009-11-11 Stephanos Panayides

This paper addresses the problem of pricing involved financial derivatives by means of advanced of deep learning techniques. More precisely, we smartly combine several sophisticated neural network-based concepts like differential machine…

Computational Finance · Quantitative Finance 2024-04-18 Francisco Gómez Casanova , Álvaro Leitao , Fernando de Lope Contreras , Carlos Vázquez

Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit it. One of them is the existence of systemic risk that affects all the policies at the same time. We introduce here a…

Risk Management · Quantitative Finance 2013-12-03 Marc Busse , Michel Dacorogna , Marie Kratz

The writers propose a mathematical Method for deriving risk weights which describe how a borrower's income, relative to their debt service obligations (serviceability) affects the probability of default of the loan. The Method considers the…

Risk Management · Quantitative Finance 2011-11-24 Graham Andersen , David Chisholm

We reduce boundary determination of an unknown function and its normal derivatives from the (possibly weighted and attenuated) broken ray data to the injectivity of certain geodesic ray transforms on the boundary. For determination of the…

Differential Geometry · Mathematics 2014-09-29 Joonas Ilmavirta

A critical problem in the financial world deals with the management of risk, from regulatory risk to portfolio risk. Many such problems involve the analysis of securities modelled by complex dynamics that cannot be captured analytically,…

Quantum Physics · Physics 2025-04-03 Jeong Yu Han , Bin Cheng , Dinh-Long Vu , Patrick Rebentrost

We consider the framework proposed by Burgard and Kjaer (2011) that derives the PDE which governs the price of an option including bilateral counterparty risk and funding. We extend this work by relaxing the assumption of absence of…

Mathematical Finance · Quantitative Finance 2018-02-15 P. Amster , A. P. Mogni

The vast majority of works on option pricing operate on the assumption of risk neutral valuation, and consequently focus on the expected value of option returns, and do not consider risk parameters, such as variance. We show that it is…

Pricing of Securities · Quantitative Finance 2012-04-17 Adi Ben-Meir , Jeremy Schiff

Derivatives, as a critical class of financial instruments, isolate and trade the price attributes of risk assets such as stocks, commodities, and indices, aiding risk management and enhancing market efficiency. However, traditional hedging…

Computational Finance · Quantitative Finance 2025-03-07 Yiheng Ding , Gangnan Yuan , Dewei Zuo , Ting Gao

XVA is a material component of a trade valuation and hence it must impact the decision to exercise options within a given netting set. This is true for both unsecured trades and secured / cleared trades where KVA and MVA play a material…

Pricing of Securities · Quantitative Finance 2016-10-04 Andrew Green , Chris Kenyon

According to the Accounting View of Money (AVM), the money issued by commercial banks in the form of demand deposits features a hybrid nature, since deposits can be shown to consist of a share of deposits bearing the characteristics of debt…

Mathematical Finance · Quantitative Finance 2023-11-06 Fabio Bagarello , Biagio Bossone

Regression plays a key role in many research areas and its variable selection is a classic and major problem. This study emphasizes cost of predictors to be purchased for future use, when we select a subset of them. Its economic aspect is…

Methodology · Statistics 2021-03-19 Steven N. MacEachern , Koji Miyawaki

Securities borrowing and lending are critical to proper functioning of securities markets. To alleviate securities owners' exposure to borrower default risk, overcollateralization and indemnification are provided by the borrower and the…

Mathematical Finance · Quantitative Finance 2021-11-29 Wujiang Lou

As financial institutions increasingly rely on machine learning models to automate lending decisions, concerns about algorithmic fairness have risen. This paper explores the tradeoff between enforcing fairness constraints (such as…

Computers and Society · Computer Science 2025-06-05 Aayam Bansal

Convex duality for two two different super--replication problems in a continuous time financial market with proportional transaction cost is proved. In this market, static hedging in a finite number of options, in addition to usual dynamic…

Mathematical Finance · Quantitative Finance 2015-10-20 Yan Dolinsky , H. Mete Soner

Existing auto-bidding algorithms in digital advertising often treat the value of an ad opportunity as the revenue obtained when an ad is shown and/or clicked, and bid accordingly. This can lead to wasteful spending because the true value is…

Computer Science and Game Theory · Computer Science 2026-05-05 Yuxiao Wen , Zihao Hu , Yanjun Han , Yuan Yao , Zhengyuan Zhou

"Clipping" (a.k.a. importance weight truncation) is a widely used variance-reduction technique for counterfactual off-policy estimators. Like other variance-reduction techniques, clipping reduces variance at the cost of increased bias.…

Machine Learning · Computer Science 2023-09-06 Jan Malte Lichtenberg , Alexander Buchholz , Giuseppe Di Benedetto , Matteo Ruffini , Ben London

This paper examines the dividend and investment policies of a cash constrained firm that has access to costly external funding. We depart from the literature by allowing the firm to issue collateralized debt to increase its investment in…

Portfolio Management · Quantitative Finance 2015-11-05 Erwan Pierre , Stéphane Villeneuve , Xavier Warin

Second-price auctions with reserve play a critical role for modern search engine and popular online sites since the revenue of these companies often directly de- pends on the outcome of such auctions. The choice of the reserve price is the…

Machine Learning · Computer Science 2014-12-03 Mehryar Mohri , Andres Muñoz Medina

Interference between treated and untreated units is a source of bias in marketplace experiments. In this paper, we specifically consider pricing interventions, in which a platform seeks to adjust base pricing levels at the marketplace level…

Optimization and Control · Mathematics 2025-02-27 Arthur Delarue , Kleanthis Karakolios