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The Application of Symbolic Regression on Identifying Implied Volatility Surface
Mathematics, 2023 One important parameter in the Black–Scholes option pricing model is the implied volatility. Implied volatility surface (IVS) is an important concept in finance that describes the variation of implied volatility across option strike price and time to ...
Jiayi Luo, Cindy Long Yu
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South African Journal of Economic and Management Sciences, 2017 Background: Contingent claims on underlying assets are typically priced under a framework that assumes, inter alia, that the log returns of the underlying asset are normally distributed.
Emlyn Flint, Eben Maré
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PLoS ONE, 2021 We explore the use of implied volatility indices as a tool for estimate changes in the synchronization of stock markets. Specifically, we assess the implied stock market's volatility indices' predictive power on synchronizing global equity indices ...
Nicolás Magner +3 more
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Investor Sentiment Index and Option Price Volatility Based on MIDAS Model: Evidence from China [PDF]
SHS Web of Conferences, 2021 The paper selects the transaction data of the option market and network data from June 1, 2015 to February 2, 2018. The principal component analysis is adopted to construct investor sentiment index.
Xiao Haiyan, Hao Yingxin, Wu Sirong
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An analysis between implied and realised volatility in the Greek Derivatives Market [PDF]
, 2009 In this article, we examine the relationship between implied and realised volatility in the Greek derivative market. We examine the differences between realised volatility and implied volatility of call and put options for at-the-money index options with
Chance, D. +4 more
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PCA for Implied Volatility Surfaces [PDF]
The Journal of Financial Data Science, 2020 Principal component analysis (PCA) is a useful tool when trying to construct factor models from historical asset returns. For the implied volatilities of U.S. equities there is a PCA-based model with a principal eigenportfolio whose return time series lies close to that of an overarching market factor.
George Papanicolaou +3 more
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The Chebyshev method for the implied volatility [PDF]
Journal of Computational Finance, 2019 The implied volatility is a crucial element of any financial toolbox, since it is used for quoting and the hedging of options as well as for model calibration. In contrast to the Black-Scholes formula its inverse, the implied volatility, is not explicitly available and numerical approximation is required.
Glau, K, Herold, P, Madan, DB, Potz, C
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An Intuitive Introduction to Fractional and Rough Volatilities
Mathematics, 2021 Here, we review some results of fractional volatility models, where the volatility is driven by fractional Brownian motion (fBm). In these models, the future average volatility is not a process adapted to the underlying filtration, and fBm is not a ...
Elisa Alòs, Jorge A. León
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A Lower Bound for the Volatility Swap in the Lognormal SABR Model
Axioms, 2023 In the short time to maturity limit, it is proved that for the conditionally lognormal SABR model the zero vanna implied volatility is a lower bound for the volatility swap strike.
Elisa Alòs +2 more
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Forecasting Stock Market Volatility: A Combination Approach
Discrete Dynamics in Nature and Society, 2020 We find that combining two important predictors, stock market implied volatility and oil volatility, can improve the predictability of stock return volatility.
Zhifeng Dai +3 more
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