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Viewing a yield curve as a sparse collection of measurements on a latent continuous random function allows us to model it statistically as a sparsely observed functional time series. Doing so, we use the state-of-the-art methods in…

Applications · Statistics 2020-07-07 Tomáš Rubín

This manuscript introduces deep learning models that simultaneously describe the dynamics of several yield curves. We aim to learn the dependence structure among the different yield curves induced by the globalization of financial markets…

Machine Learning · Statistics 2024-11-20 Ronald Richman , Salvatore Scognamiglio

Yield curve forecasting is an important problem in finance. In this work we explore the use of Gaussian Processes in conjunction with a dynamic modeling strategy, much like the Kalman Filter, to model the yield curve. Gaussian Processes…

Machine Learning · Statistics 2017-03-07 Rajiv Sambasivan , Sourish Das

We study U.S. Treasury yield curve forecasting under distributional uncertainty and recast forecasting as an operations research and managerial decision problem. Rather than minimizing average forecast error, the forecaster selects a…

Mathematical Finance · Quantitative Finance 2026-01-09 Jinjun Liu , Ming-Yen Cheng

We present a family of models for the term structure of interest rates which describe the interest rate curve as a stochastic process in a Hilbert space. We start by decomposing the deformations of the term structure into the variations of…

Statistical Mechanics · Physics 2012-05-17 Rama Cont

In fixed income sector, the yield curve is probably the most observed indicator by the market for trading and fifinancing purposes. A yield curve plots interest rates across different contract maturities from short end to as long as 30…

Mathematical Finance · Quantitative Finance 2018-08-13 Jian Sun

The literature on using yield curves to forecast recessions customarily uses 10-year--three-month Treasury yield spread without verification on the pair selection. This study investigates whether the predictive ability of spread can be…

Econometrics · Economics 2023-10-19 Jaehyuk Choi , Desheng Ge , Kyu Ho Kang , Sungbin Sohn

For a long time interest-rate models were built on a single yield curve used both for discounting and forwarding. However, the crisis that has affected financial markets in the last years led market players to revise this assumption and…

Pricing of Securities · Quantitative Finance 2010-11-04 Nicola Moreni , Andrea Pallavicini

While machine learning has revolutionized many fields such as natural language processing (NLP) and computer vision, its impact on time-series forecasting is still widely disputed, especially in the finance domain. This paper compares…

Artificial Intelligence · Computer Science 2026-05-12 Aman Singh , Tokunbo Ogunfunmi , Sanjiv Das

While we are usually focused on forecasting future values of time series, it is often valuable to additionally predict their entire probability distributions, e.g. to evaluate risk, Monte Carlo simulations. On example of time series of…

Machine Learning · Computer Science 2019-01-24 Jarek Duda

With $P_t$ the price in current dollars of a dollar delivered $t$ time units from now, we assume that $P$ is a decreasing function defined for $t \in \mathbb{R}_+$ with $P_0 = 1$. The negative logarithmic derivative, $-…

Dynamical Systems · Mathematics 2024-03-21 Ethan Akin , Morton Davis

We propose a general framework for modeling multiple yield curves which have emerged after the last financial crisis. In a general semimartingale setting, we provide an HJM approach to model the term structure of multiplicative spreads…

Mathematical Finance · Quantitative Finance 2016-05-05 Christa Cuchiero , Claudio Fontana , Alessandro Gnoatto

This paper is concerned with finite dimensional models for the entire term structure for energy futures. As soon as a finite dimensional set of possible yield curves is chosen, one likes to estimate the dynamic behaviour of the yield curve…

Mathematical Finance · Quantitative Finance 2023-08-07 Paul Krühner , Shijie Xu

The space of probability distributions on a given sample space possesses natural geometric properties. For example, in the case of a smooth parametric family of probability distributions on the real line, the parameter space has a…

General Finance · Quantitative Finance 2015-06-03 Dorje C. Brody , Lane P. Hughston

We present a HJM approach to the projection of multiple yield curves developed to capture the volatility content of historical term structures for risk management purposes. Since we observe the empirical data at daily frequency and only for…

Risk Management · Quantitative Finance 2015-10-09 Chiara Sabelli , Michele Pioppi , Luca Sitzia , Giacomo Bormetti

The crisis that affected financial markets in the last years leaded market practitioners to revise well known basic concepts like the ones of discount factors and forward rates. A single yield curve is not sufficient any longer to describe…

Pricing of Securities · Quantitative Finance 2010-06-25 Andrea Pallavicini , Marco Tarenghi

We consider a model for interest rates, where the short rate is given by a time-homogenous, one-dimensional affine process in the sense of Duffie, Filipovic and Schachermayer. We show that in such a model yield curves can only be normal,…

Pricing of Securities · Quantitative Finance 2008-12-02 Martin Keller-Ressel , Thomas Steiner

The purpose of this paper relies on the study of long term yield curves modeling. Inspired by the economic litterature, it provides a financial interpretation of the Ramsey rule that links discount rate and marginal utility of aggregate…

Computational Finance · Quantitative Finance 2014-04-08 Nicole El Karoui , Caroline Hillairet , Mohamed Mrad

Time series data arising in many applications nowadays are high-dimensional. A large number of parameters describe features of these time series. We propose a novel approach to modeling a high-dimensional time series through several…

Methodology · Statistics 2024-08-22 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

We present an arbitrage-free non-parametric yield curve prediction model which takes the full (discretized) yield curve as state variable. We believe that absence of arbitrage is an important model feature in case of highly correlated data,…

Pricing of Securities · Quantitative Finance 2012-03-12 Josef Teichmann , Mario V. Wüthrich
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