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This paper extends the valuation and optimal surrender framework for variable annuities with guaranteed minimum benefits in a L\'evy equity market environment by incorporating a stochastic interest rate described by the Hull-White model.…

Pricing of Securities · Quantitative Finance 2024-04-12 Ludovic Goudenège , Andrea Molent , Xiao Wei , Antonino Zanette

We develop a model to price inflation and interest rates derivatives using continuous-time dynamics that have some links with macroeconomic monetary DSGE models equipped with a Taylor rule: in particular, the reaction function of the…

Pricing of Securities · Quantitative Finance 2014-07-29 Gabriele Sarais , Damiano Brigo

Especially in the insurance industry interest rate models play a crucial role e.g. to calculate the insurance company's liabilities, performance scenarios or risk measures. A prominant candidate is the 2-Additive-Factor Gaussian Model…

Mathematical Finance · Quantitative Finance 2020-06-16 Christoph Berninger , Julian Pfeiffer

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 study the Hull-White model for the term structure of interest rates in the presence of volatility uncertainty. The uncertainty about the volatility is represented by a set of beliefs, which naturally leads to a sublinear expectation and…

Pricing of Securities · Quantitative Finance 2021-01-28 Julian Hölzermann

We discuss a simple extension of the Ho and Lee model with generic time-dependent drift in which: 1) we compute bond prices analytically; 2) the yield curve is sensible and the asymptotic yield is positive; and 3) our analytical solution…

Mathematical Finance · Quantitative Finance 2016-01-26 Zura Kakushadze

Yield curve modeling is an essential problem in finance. In this work, we explore the use of Bayesian statistical methods in conjunction with Nelson-Siegel model. We present the hierarchical Bayesian model for the parameters of the…

Statistical Finance · Quantitative Finance 2018-10-04 Sourish Das

In contemporary power systems, energy consumption prediction plays a crucial role in maintaining grid stability and resource allocation enabling power companies to minimize energy waste and avoid overloading the grid. While there are…

Machine Learning · Computer Science 2025-03-20 Aayam Bansal , Keertan Balaji , Zeus Lalani

We propose a modification of the classical Black-Derman-Toy (BDT) interest rate tree model, which includes the possibility of a jump with small probability at each step to a practically zero interest rate. The corresponding BDT algorithms…

Econometrics · Economics 2020-07-14 Grzegorz Krzyżanowski , Ernesto Mordecki , Andrés Sosa

We focus on extending existing short-rate models, enabling control of the generated implied volatility while preserving analyticity. We achieve this goal by applying the Randomized Affine Diffusion (RAnD) method to the class of short-rate…

Computational Finance · Quantitative Finance 2024-11-27 Lech A. Grzelak

By adopting the polynomial interpolation method, we propose an approach to hedge against the interest-rate risk of the default-free bonds by measuring the nonparallel movement of the yield-curve, such as the translation, the rotation and…

Portfolio Management · Quantitative Finance 2016-11-25 Zhongliang Tuo

We consider the stochastic volatility model $dS_t = \sigma_t S_t dW_t,d\sigma_t = \omega \sigma_t dZ_t$, with $(W_t,Z_t)$ uncorrelated standard Brownian motions. This is a special case of the Hull-White and the $\beta=1$ (log-normal) SABR…

Mathematical Finance · Quantitative Finance 2018-02-13 Dan Pirjol , Lingjiong Zhu

This study develops an integrated stochastic modeling framework for pricing short and medium-maturity equity options and assessing interest-rate risk using the Heston (1993), Bates (1996), and CIR (1985) models. We calibrate the Heston…

Portfolio Management · Quantitative Finance 2026-05-28 Nunik Srikandi Putri , Ajay Kumar Verma , Neo Paul Lesupi

In this paper, we propose a novel methodology for pricing equity-indexed annuities featuring cliquet-style payoff structures and early surrender risk, using advanced financial modeling techniques. Specifically, the market is modeled by an…

Pricing of Securities · Quantitative Finance 2025-02-18 Ludovic Goudenège , Andrea Molent , Antonino Zanette

This paper proposes a Monte Carlo technique for pricing the forward yield to maturity, when the volatility of the zero-coupon bond is known. We make the assumption of deterministic default intensity (Hazard Rate Function). We make no…

Computational Finance · Quantitative Finance 2012-04-23 Didier Kouokap Youmbi

Motivated by the application to German interest rates, we propose a timevarying autoregressive model for short and long term prediction of time series that exhibit a temporary non-stationary behavior but are assumed to mean revert in the…

Methodology · Statistics 2021-02-23 Christoph Berninger , Almond Stöcker , David Rügamer

Robust yield curve estimation is crucial in fixed-income markets for accurate instrument pricing, effective risk management, and informed trading strategies. Traditional approaches, including the bootstrapping method and parametric…

Machine Learning · Computer Science 2025-10-27 Sina Molavipour , Alireza M. Javid , Cassie Ye , Björn Löfdahl , Mikhail Nechaev

We present a thorough empirical study on real interest rates by also including risk aversion through the introduction of the market price of risk. With the view of complex systems science and its multidisciplinary approach, we use the…

Mathematical Finance · Quantitative Finance 2023-12-29 J. Doyne Farmer , John Geanakoplos , Matteo G. Richiardi , Miquel Montero , Josep Perelló , Jaume Masoliver

This paper introduces a short rate model in continuous time that adds one or more memory (delay) components to the Merton model (Merton 1970, 1973) or the Vasi\v{c}ek model (Vasi\v{c}ek 1977) for the short rate. The distribution of the…

Mathematical Finance · Quantitative Finance 2026-02-23 Alet Roux , Álvaro Guinea Juliá

In this paper, we argue that some of the most popular short-term interest models have to be revisited and modified to reflect current market conditions better. In particular, we propose a modification of the popular Black-Karasinski model,…

Computational Finance · Quantitative Finance 2021-01-20 A. Itkin , A. Lipton , D. Muravey
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