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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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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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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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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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Journal of Business Economics and Management, 2014 This study examines the information content of implied volatility, using the options of the underlying S&P CNX Nifty index. In this study, implied, historical and realized volatilities are calculated using non-overlapping monthly at-the-money samples ...
Puja Padhi, Imlak Shaikh
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Implied Volatility Transmissions Between Thai and Selected Advanced Stock Markets
SAGE Open, 2016 This article investigates the impacts of changes in the U.S.-implied volatility on the changes in implied volatilities of the Euro and Thai stock markets.
Supachok Thakolsri +2 more
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Implied volatility estimation of bitcoin options and the stylized facts of option pricing
Financial Innovation, 2021 The recently developed Bitcoin futures and options contracts in cryptocurrency derivatives exchanges mark the beginning of a new era in Bitcoin price risk hedging.
Noshaba Zulfiqar, Saqib Gulzar
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Implied Volatility Functions [PDF]
The Journal of Derivatives, 2000 This paper proposes and investigates a class of dynamic implied volatility function models (DIVF). This class of models separates the time-invariant implied volatility function from the stochastic state variables which drive changes in the individual implied volatilities. The dynamics of the state variables are modeled explicitly.
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Do changes in the implied volatility of stock options predict future changes in CDS spreads? [PDF]
Seonmul yeonguThis study examines whether changes in the implied volatility of stock options have cross-sectional predictability for future changes in credit default swap (CDS) spreads in the Korean market. The major findings are as follows.
Changsoo Hong, Yuen Jung Park
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