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In this paper we introduce a class of information-based models for the pricing of fixed-income securities. We consider a set of continuous- time information processes that describe the flow of information about market factors in a monetary…

Pricing of Securities · Quantitative Finance 2010-04-27 Lane P. Hughston , Andrea Macrina

We introduce a new model of financial market with stochastic volatility driven by an arbitrary H\"older continuous Gaussian Volterra process. The distinguishing feature of the model is the form of the volatility equation which ensures the…

Mathematical Finance · Quantitative Finance 2024-07-16 Giulia Di Nunno , Yuliya Mishura , Anton Yurchenko-Tytarenko

We propose a parsimonious stochastic model for characterising the distributional and temporal properties of rainfall. The model is based on an integrated Ornstein-Uhlenbeck process driven by the Hougaard L\'evy process. We derive properties…

Methodology · Statistics 2015-01-27 Ragnhild C. Noven , Almut E. D. Veraart , Axel Gandy

In this paper we present a new method to compute the first-order approximation of the price of derivatives on futures in the context of multiscale stochastic volatility of Fouque \textit{et al.} (2011, CUP). It provides an alternative…

Computational Finance · Quantitative Finance 2018-06-19 Jean-Pierre Fouque , Yuri F. Saporito , Jorge P. Zubelli

This study introduces a new technique to recover the implicit discount factor in the derivative market using only European put and call prices: this discount is grounded in actual transactions in active markets. Moreover, this study…

Mathematical Finance · Quantitative Finance 2022-01-04 Michele Azzone , Roberto Baviera

We consider the pricing of energy spread options for spot prices following an exponential Ornstein-Uhlenbeck process driven by a sum of independent multivariate variance gamma processes, which gives rise to mean-reverting, infinite activity…

Mathematical Finance · Quantitative Finance 2026-02-25 Tim Leung , Kevin W. Lu

A new approximate Bayesian inferential framework is proposed that exploits multiple information sources -- daily spot returns, high-frequency spot data and option prices -- and enables fast calculation of probabilistic predictions of future…

Statistical Finance · Quantitative Finance 2026-05-08 Worapree Maneesoonthorn , David T. Frazier , Gael M. Martin

We conduct modeling of the price dynamics following order flow imbalance in market microstructure and apply the model to the analysis of Chinese CSI 300 Index Futures. There are three findings. The first is that the order flow imbalance is…

Mathematical Finance · Quantitative Finance 2025-05-26 Chen Hu , Kouxiao Zhang

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

Theoretical Economics · Economics 2020-08-26 Carey Caginalp , Gunduz Caginalp

We model the term structure of the forward default intensity and the default density by using L\'evy random fields, which allow us to consider the credit derivatives with an after-default recovery payment. As applications, we study the…

Pricing of Securities · Quantitative Finance 2011-12-14 Lijun Bo , Ying Jiao , Xuewei Yang

Quantum computers are not yet up to the task of providing computational advantages for practical stochastic diffusion models commonly used by financial analysts. In this paper we introduce a class of stochastic processes that are both…

Quantum Physics · Physics 2023-11-03 Eric Ghysels , Jack Morgan , Hamed Mohammadbagherpoor

Interest rate market models, like the LIBOR market model, have the advantage that the basic model quantities are directly observable in financial markets. Inflation market models extend this approach to inflation markets, where zero-coupon…

Pricing of Securities · Quantitative Finance 2015-03-18 Stefan Waldenberger

Classical solvable stochastic volatility models (SVM) use a CEV process for instantaneous variance where the CEV parameter $\gamma$ takes just few values: 0 - the Ornstein-Uhlenbeck process, 1/2 - the Heston (or square root) process, 1-…

Pricing of Securities · Quantitative Finance 2012-07-03 Andrey Itkin

We consider option pricing using a discrete-time Markov switching stochastic volatility with co-jump model, which can model volatility clustering and varying mean-reversion speeds of volatility. For pricing European options, we develop a…

Pricing of Securities · Quantitative Finance 2020-06-29 Michael C. Fu , Bingqing Li , Rongwen Wu , Tianqi Zhang

In this note, we develop stock option price approximations for a model which takes both the risk o default and the stochastic volatility into account. We also let the intensity of defaults be influenced by the volatility. We show that it…

Computational Engineering, Finance, and Science · Computer Science 2007-12-21 Erhan Bayraktar

This papers addresses the stock option pricing problem in a continuous time market model where there are two stochastic tradable assets, and one of them is selected as a num\'eraire. It is shown that the presence of arbitrarily small…

Pricing of Securities · Quantitative Finance 2014-10-01 Nikolai Dokuchaev

We consider stochastic volatility models under parameter uncertainty and investigate how model derived prices of European options are affected. We let the pricing parameters evolve dynamically in time within a specified region, and…

Mathematical Finance · Quantitative Finance 2018-07-12 Samuel N. Cohen , Martin Tegnér

The LIBOR Market Model (LMM) is a widely used model for pricing interest rate derivatives. While the Black-Scholes model is well-known for pricing stock derivatives such as stock options, a larger portion of derivatives are based on…

Quantum Physics · Physics 2022-07-05 Hao Tang , Wenxun Wu , Xian-Min Jin

We introduce a new and highly tractable structural model for spot and derivative prices in electricity markets. Using a stochastic model of the bid stack, we translate the demand for power and the prices of generating fuels into electricity…

Pricing of Securities · Quantitative Finance 2015-05-27 Rene Carmona , Michael Coulon , Daniel Schwarz

Using tools from spectral analysis, singular and regular perturbation theory, we develop a systematic method for analytically computing the approximate price of a derivative-asset. The payoff of the derivative-asset may be path-dependent.…

Computational Finance · Quantitative Finance 2012-04-09 Matthew Lorig
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