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We present a quantitative study of the markets and models evolution across the credit crunch crisis. In particular, we focus on the fixed income market and we analyze the most relevant empirical evidences regarding the divergences between…

Pricing of Securities · Quantitative Finance 2012-04-03 Marco Bianchetti , Mattia Carlicchi

In recent years, multi-factor strategies have gained increasing popularity in the financial industry, as they allow investors to have a better understanding of the risk drivers underlying their portfolios. Moreover, such strategies promise…

Statistical Finance · Quantitative Finance 2021-11-12 Gabriele D'Acunto , Paolo Bajardi , Francesco Bonchi , Gianmarco De Francisci Morales

In the option valuation literature, the shortcomings of one factor stochastic volatility models have traditionally been addressed by adding jumps to the stock price process. An alternate approach in the context of option pricing and…

Mathematical Finance · Quantitative Finance 2019-12-24 Gifty Malhotra , R. Srivastava , H. C. Taneja

Financial markets are interconnected, with micro-currents propagating across global markets and shaping economic trends. This paper moves beyond traditional stock market indices to examine cross-sectional return distributions-15 in our…

General Economics · Economics 2025-11-27 Ping Wu , Dan Zhu

We develop a dynamic factor stochastic volatility-in-mean (SVM) specification for vector autoregressions (VARs) that embeds an SVM component within a dynamic factor stochastic volatility structure. A small number of latent volatility…

Methodology · Statistics 2026-04-07 Daichi Hiraki , Siddhartha Chib , Yasuhiro Omori

We introduce a novel multi-factor Heston-based stochastic volatility model, which is able to reproduce consistently typical multi-dimensional FX vanilla markets, while retaining the (semi)-analytical tractability typical of affine models…

Pricing of Securities · Quantitative Finance 2015-03-20 Alvise De Col , Alessandro Gnoatto , Martino Grasselli

We study a multivariate autoregressive stochastic volatility model for the first 3 principal components (level, slope, curvature) of 10 series of zero-coupon Treasury bond rates with maturities from 1 to 10 years. We fit this model using…

Statistical Finance · Quantitative Finance 2025-01-22 Jihyun Park , Andrey Sarantsev

In order to deal with the question of the existence of a calibrated local stochastic volatility model in finance, we investigate a class of McKean--Vlasov equations where a minimal continuity assumption is imposed on the coefficients.…

Probability · Mathematics 2024-10-22 Mao Fabrice Djete

We propose a non-parametric extension with leverage functions to the Andersen commodity curve model. We calibrate this model to market data for WTI and NG including option skew at the standard maturities. While the model can be calibrated…

Mathematical Finance · Quantitative Finance 2022-12-16 Orcan Ogetbil , Bernhard Hientzsch

We consider the problem of valuing a European option written on an asset whose dynamics are described by an exponential L\'evy-type model. In our framework, both the volatility and jump-intensity are allowed to vary stochastically in time…

Pricing of Securities · Quantitative Finance 2013-07-12 Matthew Lorig , Oriol Lozano-Carbassé

Persistent shifts in term-structure dynamics undermine the stability of single-regime models in long samples. We develop an arbitrage-free regime-switching generalized CIR (RS-GCIR) model that jointly prices the Chinese government bond…

Pricing of Securities · Quantitative Finance 2026-04-29 Maochun Xu , Yunqi Liang , Yi Hong

We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors.…

Mathematical Finance · Quantitative Finance 2019-07-23 Damien Ackerer , Damir Filipović

The paper studies the continuous-time dynamics of VIX with stochastic volatility and jumps in VIX and volatility. Built on the general parametric affine model with stochastic volatility and jump in logarithm of VIX, we derive a linear…

Computational Finance · Quantitative Finance 2016-10-31 Xin Zang , Jun Ni , Jing-Zhi Huang , Lan Wu

Agents' heterogeneity is recognized as a driver mechanism for the persistence of financial volatility. We focus on the multiplicity of investment strategies' horizons, we embed this concept in a continuous time stochastic volatility…

Statistical Finance · Quantitative Finance 2013-04-04 Danilo Delpini , Giacomo Bormetti

This study investigates the short-term asymptotic behavior of the implied volatility surface (IVS), with a particular focus on the at-the-money (ATM) skew and curvature, which are key determinants of the IVS shape and whose are widely…

Pricing of Securities · Quantitative Finance 2025-06-24 Liexin Cheng , Xue Cheng

A convex two-stage non-cooperative multi-agent game under uncertainty is formulated as a two-stage stochastic variational inequality (SVI). Under standard assumptions, we provide sufficient conditions for the existence of solutions of the…

Optimization and Control · Mathematics 2019-07-18 Jie Jiang , Yun Shi , Xiaozhou Wang , Xiaojun Chen

Multicollinearity is relevant to many different fields where linear regression models are applied, and its existence may affect the analysis of ordinary least squares (OLS) estimators from both the numerical and statistical points of views.…

Methodology · Statistics 2020-05-06 Román Salmerón , Catalina García , José García

In car-following models, the driver reacts according to his physical and psychological abilities which may change over time. However, most car-following models are deterministic and do not capture the stochastic nature of human perception.…

Physics and Society · Physics 2019-07-16 D. Ngoduy , S. Lee , M. Treiber , M. Keyvan-Ekbatani , H. L. Vu

In this paper, we implement a stochastic deflator with five economic and financial risk factors: interest rates, market price of risk, stock prices, default intensities, and convenience yields. We examine the deflator with different…

Risk Management · Quantitative Finance 2019-02-18 Po-Keng Cheng , Frédéric Planchet

The Nested factor model was introduced by Chicheportiche et al. to represent non-linear correlations between stocks. Stock returns are explained by a standard factor model, but the (log)-volatilities of factors and residuals are themselves…

Statistical Finance · Quantitative Finance 2025-12-16 Othmane Zarhali , Cecilia Aubrun , Emmanuel Bacry , Jean-Philippe Bouchaud , Jean-François Muzy