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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

Affordances describe the possibilities for an agent to perform actions with an object. While the significance of the affordance concept has been previously studied from varied perspectives, such as psychology and cognitive science, these…

Artificial Intelligence · Computer Science 2021-05-17 Paola Ardón , Èric Pairet , Katrin S. Lohan , Subramanian Ramamoorthy , Ronald P. A. Petrick

We present a unified, market-complete model that integrates both the Bachelier and Black-Scholes-Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that…

Mathematical Finance · Quantitative Finance 2024-06-11 W. Brent Lindquist , Svetlozar T. Rachev , Jagdish Gnawali , Frank J. Fabozzi

In this paper we introduce a sublinear conditional expectation with respect to a family of possibly nondominated probability measures on a progressively enlarged filtration. In this way, we extend the classic reduced-form setting for credit…

Mathematical Finance · Quantitative Finance 2019-08-02 Francesca Biagini , Yinglin Zhang

In this paper, we extend the classical Ho-Lee binomial term structure model to the case of time-dependent parameters and, as a result, resolve a drawback associated with the model. This is achieved with the introduction of a more flexible…

Mathematical Finance · Quantitative Finance 2019-04-04 Young Shin Kim , Stoyan Stoyanov , Svetlozar Rachev , Frank J. Fabozzi

We introduce the concept of no-arbitrage in a credit risk market under ambiguity considering an intensity-based framework. We assume the default intensity is not exactly known but lies between an upper and lower bound. By means of the…

Mathematical Finance · Quantitative Finance 2018-04-25 Tolulope Fadina , Thorsten Schmidt

We study dynamic pricing where a seller repeatedly interacts with a strategic, non-myopic buyer who has a fixed private valuation and discounts future utility. Prior work focused exclusively on posted-price mechanisms, which only extract…

Computer Science and Game Theory · Computer Science 2026-04-28 Shiliang Zuo

In dimensionality reduction problems, the adopted technique may produce disparities between the representation errors of different groups. For instance, in the projected space, a specific class can be better represented in comparison with…

Machine Learning · Computer Science 2022-10-04 Guilherme D. Pelegrina , Renan D. B. Brotto , Leonardo T. Duarte , Romis Attux , João M. T. Romano

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

We reverse-engineer the equilibrium construction process of asset prices in order to obtain returns which depend on firm characteristics, possibly in a linear fashion. One key requirement is that agents must have demands that rely…

General Finance · Quantitative Finance 2022-03-16 Guillaume Coqueret

Financial models are studied where each asset may potentially lose value relative to any other. Conditioning on non-devaluation, each asset can serve as proper num\'eraire and classical valuation rules can be formulated. It is shown when…

Pricing of Securities · Quantitative Finance 2017-10-19 Travis Fisher , Sergio Pulido , Johannes Ruf

One of the major advantages in using Deep Learning for Finance is to embed a large collection of information into investment decisions. A way to do that is by means of compression, that lead us to consider a smaller feature space. Several…

Trading and Market Microstructure · Quantitative Finance 2017-04-12 Luigi Troiano , Elena Mejuto , Pravesh Kriplani

In this paper, I consider a simple heterogeneous agents model of a production economy with uncertain climate change and examine constrained efficient carbon taxation. If there are frictionless, complete financial markets, the simple model…

General Economics · Economics 2022-10-18 Felix Kübler

In general it is not clear which kind of information is supposed to be used for calculating the fair value of a contingent claim. Even if the information is specified, it is not guaranteed that the fair value is uniquely determined by the…

General Finance · Quantitative Finance 2016-02-01 Gabriel Frahm

In this paper we compare two classical one-factor diffusion models which are used to model the term structure of interest rates. One of them is based on the Wiener-Bachelier process while the second one is based on the Ornstein-Uhlenbeck…

Pricing of Securities · Quantitative Finance 2008-12-02 Edward W. Piotrowski , Malgorzata Schroeder , Anna Szczypinska

In this letter, I consider the issue of pricing risky debt by following Merton's approach. I generalize Merton's results to the case where the interest rate is modeled by the CIR term structure. Exact closed forms are provided for the risky…

Statistical Mechanics · Physics 2008-12-10 D. F. Wang

We propose a shape-constrained approach to dynamic pricing for censored data in the linear valuation model eliminating the need for tuning parameters commonly required by existing methods. Previous works have addressed the challenge of…

Machine Learning · Statistics 2025-12-11 Daniele Bracale , Moulinath Banerjee , Yuekai Sun , Kevin Stoll , Salam Turki

We study a continuous time contracting model in which a principal hires a risk averse agent to manage a project over a finite horizon and provides sequential payments whose timing is endogenously determined. The resulting nonzero-sum…

Theoretical Economics · Economics 2025-12-01 Guillermo Alonso Alvarez , Ibrahim Ekren , Liwei Huang

This paper compares statistical experiments in discounted problems, ranging from the simplest ones where the state is fixed and the flow of information exogenous to more complex ones, where the decision-maker controls the flow of…

Theoretical Economics · Economics 2025-04-08 Ludovic Renou , Xavier Venel

This paper characterizes differentiable subgame perfect equilibria in a continuous time intertemporal decision optimization problem with non-constant discounting. The equilibrium equation takes two different forms, one of which is…

Optimization and Control · Mathematics 2007-05-23 Ivar Ekeland , Ali Lazrak
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