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In this paper we present a rigorously motivated pricing equation for derivatives, including general cash collateralization schemes, which is consistent with quoted market bond prices. Traditionally, there have been differences in how…

Pricing of Securities · Quantitative Finance 2014-09-22 Johan Gunnesson , Alberto Fernández Muñoz de Morales

The notion of a credit spread curve is fundamental in fixed income investing, but in practice it is not `given' and needs to be constructed from bond prices either for a particular issuer, or for a sector rating-by-rating. Rather than…

Pricing of Securities · Quantitative Finance 2024-04-09 Richard J. Martin

In this paper, we present a method for factor analysis of discrete data. This is accomplished by fitting a dependent Poisson model with a factor structure. To be able to analyze ordinal data, we also consider a truncated Poisson…

Methodology · Statistics 2019-03-13 Rolf Larsson

We study derivative-free methods for policy optimization over the class of linear policies. We focus on characterizing the convergence rate of these methods when applied to linear-quadratic systems, and study various settings of driving…

Machine Learning · Computer Science 2020-05-19 Dhruv Malik , Ashwin Pananjady , Kush Bhatia , Koulik Khamaru , Peter L. Bartlett , Martin J. Wainwright

The non-gaussianity of processes observed in financial markets and relatively good performance of gaussian models can be reconciled by replacing the Brownian motion with Levy processes whose Levy densities decay as exp(-lambda|x|) or…

Statistical Mechanics · Physics 2008-12-02 Sergei Levendorskii

We propose a methodology to construct tests for the null hypothesis that the pricing errors of a panel of asset returns are jointly equal to zero in a linear factor asset pricing model -- that is, the null of "zero alpha". We consider, as a…

Econometrics · Economics 2026-05-12 Daniele Massacci , Lucio Sarno , Lorenzo Trapani , Pierluigi Vallarino

We explore the possibilities of importance sampling in the Monte Carlo pricing of a structured credit derivative referred to as Collateralized Debt Obligation (CDO). Modeling a CDO contract is challenging, since it depends on a pool of…

Computational Finance · Quantitative Finance 2013-12-09 Marcell Stippinger , Bálint Vető , Éva Rácz , Zsolt Bihary

This paper describes a consistent and arbitrage-free pricing methodology for bespoke CDO tranches. The proposed method is a multi-factor extension to the (Li 2009) model, and it is free of the known flaws in the current standard pricing…

Pricing of Securities · Quantitative Finance 2010-04-13 Yadong Li

We study an assortment optimization problem under a multi-purchase choice model in which customers choose a bundle of up to one product from each of two product categories. Different bundles have different utilities and the bundle price is…

Data Structures and Algorithms · Computer Science 2022-10-12 Xin Chen , Jiachun Li , Menglong Li , Tiancheng Zhao , Yuan Zhou

Pricing interest-rate financial derivatives is a major problem in finance, in which it is crucial to accurately reproduce the time-evolution of interest rates. Several stochastic dynamics have been proposed in the literature to model either…

In order to distinguish policies that prescribe good from bad actions in transient states, we need to evaluate the so-called bias of a policy from transient states. However, we observe that most (if not all) works in approximate…

Machine Learning · Computer Science 2022-04-12 Vektor Dewanto , Marcus Gallagher

We study a natural combinatorial single-principal multi-agent contract design problem, in which a principal motivates a team of agents to exert effort toward a given task. At the heart of our model is a reward function, which maps the agent…

Computer Science and Game Theory · Computer Science 2026-03-04 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

In this paper we provide a quantitative analysis to the concept of arbitrage, that allows to deal with model uncertainty without imposing the no-arbitrage condition. In markets that admit ``small arbitrage", we can still make sense of the…

Mathematical Finance · Quantitative Finance 2024-01-05 Beatrice Acciaio , Julio Backhoff , Gudmund Pammer

Low-rank approximation with zeros aims to find a matrix of fixed rank and with a fixed zero pattern that minimizes the Euclidean distance to a given data matrix. We study the critical points of this optimization problem using algebraic…

Algebraic Geometry · Mathematics 2022-04-26 Kaie Kubjas , Luca Sodomaco , Elias Tsigaridas

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

In this paper we propose and analyse a method for estimating three quantities related to an Asian option: the fair price, the cumulative distribution function, and the probability density. The method involves preintegration with respect to…

Numerical Analysis · Mathematics 2023-11-13 Alexander D. Gilbert , Frances Y. Kuo , Ian H. Sloan , Abirami Srikumar

In this paper we propose a semi-Markov modulated model of interest rates. We assume that the switching process is a semi-Markov process with finite state space E and the modulated process is a diffusive process. We derive recursive…

Pricing of Securities · Quantitative Finance 2012-10-12 Guglielmo D'Amico , Raimondo Manca , Giovanni Salvi

The objective of this paper is to provide a comprehensive study no-arbitrage pricing of financial derivatives in the presence of funding costs, the counterparty credit risk and market frictions affecting the trading mechanism, such as…

Mathematical Finance · Quantitative Finance 2018-04-11 Tomasz R. Bielecki , Igor Cialenco , Marek Rutkowski

This paper considers the case of pricing discretely-sampled variance swaps under the class of equity-interest rate hybridization. Our modeling framework consists of the equity which follows the dynamics of the Heston stochastic volatility…

Pricing of Securities · Quantitative Finance 2020-04-14 Teh Raihana Nazirah Roslan , Wenjun Zhang , Jiling Cao

We introduce here for the first time the long-term swap rate, characterised as the fair rate of an overnight indexed swap with infinitely many exchanges. Furthermore we analyse the relationship between the long-term swap rate, the long-term…

Pricing of Securities · Quantitative Finance 2019-06-17 Francesca Biagini , Alessandro Gnoatto , Maximilian Härtel