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The leverage effect refers to the generally negative correlation between the return of an asset and the changes in its volatility. There is broad agreement in the literature that the effect should be present for theoretical reasons, and it…

数理金融 · 定量金融 2019-09-25 Dangxing Chen

In this paper we solve the discrete time mean-variance hedging problem when asset returns follow a multivariate autoregressive hidden Markov model. Time dependent volatility and serial dependence are well established properties of financial…

证券定价 · 定量金融 2018-02-13 Massimo Caccia , Bruno Rémillard

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

计量经济学 · 经济学 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

统计金融 · 定量金融 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

The growth of the exhange-traded fund (ETF) industry has given rise to the trading of options written on ETFs and their leveraged counterparts {(LETFs)}. We study the relationship between the ETF and LETF implied volatility surfaces when…

计算金融 · 定量金融 2015-04-16 Tim Leung , Matthew Lorig , Andrea Pascucci

This paper introduces a Threshold Asymmetric Conditional Autoregressive Range (TACARR) formulation for modeling the daily price ranges of financial assets. It is assumed that the process generating the conditional expected ranges at each…

计量经济学 · 经济学 2022-03-18 Isuru Ratnayake , V. A. Samaranayake

In the classical model of stock prices which is assumed to be Geometric Brownian motion, the drift and the volatility of the prices are held constant. However, in reality, the volatility does vary. In quantitative finance, the Heston model…

证券定价 · 定量金融 2019-10-21 Arunangshu Biswas , Anindya Goswami , Ludger Overbeck

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

统计金融 · 定量金融 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

统计力学 · 物理学 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra

In this paper we consider a fractional stochastic volatility model, that is a model in which the volatility may exhibit a long-range dependent or a rough/antipersistent behavior. We propose a dynamic sequential Monte Carlo methodology that…

统计方法学 · 统计学 2017-02-28 Alexandra Chronopoulou , Konstantinos Spiliopoulos

Recent studies show that a negative shock in stock prices will generate more volatility than a positive shock of similar magnitude. The aim of this paper is to appraise the hypothesis under which the conditional mean and the conditional…

物理与社会 · 物理学 2009-11-13 Nuno B. Ferreira , Rui Menezes , Diana A. Mendes

We study the local volatility function in the Foreign Exchange market where both domestic and foreign interest rates are stochastic. This model is suitable to price long-dated FX derivatives. We derive the local volatility function and…

证券定价 · 定量金融 2012-04-04 Griselda Deelstra , Grégory Rayée

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

统计金融 · 定量金融 2024-05-09 Vladimír Holý

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

Recently, to account for low-frequency market dynamics, several volatility models, employing high-frequency financial data, have been developed. However, in financial markets, we often observe that financial volatility processes depend on…

应用统计 · 统计学 2021-03-01 Dohyun Chun , Donggyu Kim

This paper introduces a Bayesian vector autoregression (BVAR) with stochastic volatility-in-mean and time-varying skewness. Unlike previous approaches, the proposed model allows both volatility and skewness to directly affect macroeconomic…

计量经济学 · 经济学 2025-10-10 Leonardo N. Ferreira , Haroon Mumtaz , Ana Skoblar

We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of variance (square of volatility) under fixed…

证券定价 · 定量金融 2011-07-29 Mikhail Martynov , Olga Rozanova

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

动力系统 · 数学 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

Barrier derivatives depend on extrema and first-passage events and are therefore highly sensitive to volatility dynamics -- especially to the instantaneous return-volatility correlation $\rho$, often called ``leverage''. This sensitivity…

计算金融 · 定量金融 2026-05-11 Tristan Guillaume

This paper presents a novel one-factor stochastic volatility model where the instantaneous volatility of the asset log-return is a diffusion with a quadratic drift and a linear dispersion function. The instantaneous volatility mean reverts…

数理金融 · 定量金融 2019-08-21 Peter Carr , Sander Willems