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We extend the now classic structural credit modeling approach of Black and Cox to a class of "two-factor" models that unify equity securities such as options written on the stock price, and credit products like bonds and credit default…

证券定价 · 定量金融 2011-10-27 Thomas R. Hurd , Zhuowei Zhou

We examine a general multi-factor model for commodity spot prices and futures valuation. We extend the multi-factor long-short model in Schwartz and Smith (2000) and Yan (2002) in two important aspects: firstly we allow for both the long…

计算金融 · 定量金融 2011-05-31 Gareth W. Peters , Mark Briers , Pavel V. Shevchenko , Arnaud Doucet

We present a new model for commodity pricing that enhances accuracy by integrating four distinct risk factors: spot price, stochastic volatility, convenience yield, and stochastic interest rates. While the influence of these four variables…

统计金融 · 定量金融 2025-01-28 Luca Vincenzo Ballestra , Christian Tezza

In financial mathematics, it is a typical approach to approximate financial markets operating in discrete time by continuous-time models such as the Black Scholes model. Fitting this model gives rise to difficulties due to the discrete…

数理金融 · 定量金融 2024-01-11 Kathrin Hellmuth , Christian Klingenberg

Extracting implied information, like volatility and/or dividend, from observed option prices is a challenging task when dealing with American options, because of the computational costs needed to solve the corresponding mathematical problem…

计算金融 · 定量金融 2020-02-05 Shuaiqiang Liu , Álvaro Leitao , Anastasia Borovykh , Cornelis W. Oosterlee

We introduce a local volatility model for the valuation of options on commodity futures by using European vanilla option prices. The corresponding calibration problem is addressed within an online framework, allowing the use of multiple…

计算金融 · 定量金融 2016-02-16 Vinicius Albani , Uri M. Ascher , Jorge P. Zubelli

In a recent paper "Deep Learning Volatility" a fast 2-step deep calibration algorithm for rough volatility models was proposed: in the first step the time consuming mapping from the model parameter to the implied volatilities is learned by…

计算金融 · 定量金融 2020-07-08 Dirk Roeder , Georgi Dimitroff

Recursive Marginal Quantization (RMQ) allows fast approximation of solutions to stochastic differential equations in one-dimension. When applied to two factor models, RMQ is inefficient due to the fact that the optimization problem is…

数理金融 · 定量金融 2017-04-24 Ralph Rudd , Thomas A. McWalter , Joerg Kienitz , Eckhard Platen

We investigate the problem of allocating energy from renewable sources to flexible consumers in electricity markets. We assume there is a renewable energy supplier that provides energy according to a time-varying (and possibly…

最优化与控制 · 数学 2010-06-25 Michael J. Neely , Arash Saber Tehrani , Alexandros G. Dimakis

This letter presents a technique to calculate the variance of algebraic variables of power system models represented as a set of stochastic differential-algebraic equations. The technique utilizes the solution of a Lyapunov equation and…

系统与控制 · 电气工程与系统科学 2022-12-05 Muhammad Adeen , Federico Bizzarri , Davide del Giudice , Samuele Grillo , Daniele Linaro , Angelo Brambilla , Federico Milano

We study historical calibration of one- and two-factor models that are known to describe relatively well the dynamics of energy underlyings such as spot and index natural gas or oil prices at different physical locations or regional power…

证券定价 · 定量金融 2010-11-23 Josh Gray , Konstantin Palamarchuk

In the present work, we propose a new multifactor stochastic volatility model in which slow factor of volatility is approximated by a parabolic arc. We retain ourselves to the perturbation technique to obtain approximate expression for…

证券定价 · 定量金融 2017-04-03 Gifty Malhotra , R. Srivastava , H. C. Taneja

We present a numerical method for the frequent pricing of financial derivatives that depends on a large number of variables. The method is based on the construction of a polynomial basis to interpolate the value function of the problem by…

计算金融 · 定量金融 2017-09-27 Javier de Frutos , Victor Gaton

Techniques from deep learning play a more and more important role for the important task of calibration of financial models. The pioneering paper by Hernandez [Risk, 2017] was a catalyst for resurfacing interest in research in this area. In…

数理金融 · 定量金融 2019-08-26 Christian Bayer , Blanka Horvath , Aitor Muguruza , Benjamin Stemper , Mehdi Tomas

Models with a large number of latent variables are often used to fully utilize the information in big or complex data. However, they can be difficult to estimate using standard approaches, and variational inference methods are a popular…

统计方法学 · 统计学 2021-04-20 Rubén Loaiza-Maya , Michael Stanley Smith , David J. Nott , Peter J. Danaher

In mathematical finance, a process of calibrating stochastic volatility (SV) option pricing models to real market data involves a numerical calculation of integrals that depend on several model parameters. This optimization task consists of…

数值分析 · 数学 2020-06-24 Josef Daněk , J. Pospíšil

We present a new numerical method to price vanilla options quickly in time-changed Brownian motion models. The method is based on rational function approximations of the Black-Scholes formula. Detailed numerical results are given for a…

计算金融 · 定量金融 2012-04-02 Martijn Pistorius , Johannes Stolte

This article proposes a calibration framework for complex option pricing models that jointly fits market option prices and the term structure of variance. Calibrated models under the conventional objective function, the sum of squared…

综合金融 · 定量金融 2025-09-11 Jiwook Yoo

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

统计计算 · 统计学 2021-04-27 David Gunawan , Robert Kohn , David Nott

The problem of demand inversion - a crucial step in the estimation of random utility discrete-choice models - is equivalent to the determination of stable outcomes in two-sided matching models. This equivalence applies to random utility…

计量经济学 · 经济学 2021-11-30 Odran Bonnet , Alfred Galichon , Yu-Wei Hsieh , Keith O'Hara , Matt Shum
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