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A Remark on Gatheral's 'Most-Likely Path Approximation' of Implied Volatility [PDF]
arXiv, 2009 We give a new proof of the representation of implied volatility as a time-average of weighted expectations of local or stochastic volatility. With this proof we clarify the question of existence of 'forward implied variance' in the original derivation of Gatheral, who introduced this representation in his book 'The Volatility Surface'.
Martin Keller‐Ressel, Josef Teichmann
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Explicit implied volatilities for multifactor local-stochastic volatility models [PDF]
arXiv, 2013 We consider an asset whose risk-neutral dynamics are described by a general class of local-stochastic volatility models and derive a family of asymptotic expansions for European-style option prices and implied volatilities. Our implied volatility expansions are explicit; they do not require any special functions nor do they require numerical ...
Matthew Lorig +2 more
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Forward implied volatility expansion in time-dependent local volatility models****** [PDF]
ESAIM: Proceedings and Surveys, 2014 We introduce an analytical approximation to efficiently price forward start options on equity in time-dependent local volatility models as the forward start date, the maturity or the volatility coefficient are small.
Bompis Romain, Hok Julien
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A Note on the Equivalence between the Normal and the Lognormal Implied Volatility : A Model Free Approach [PDF]
arXiv, 2011 First, we show that implied normal volatility is intimately linked with the incomplete Gamma function. Then, we deduce an expansion on implied normal volatility in terms of the time-value of a European call option. Then, we formulate an equivalence between the implied normal volatility and the lognormal implied volatility with any strike and any model.
Cyril Grunspan
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Is it worth tracking dollar/real implied volatility?
Economia Aplicada, 2001 In this paper we examine the relation between dollar-real exchange rate volatility implied in option prices and subsequent realized volatility, in the period of February 1999 to February 2001.
Sandro Canesso de Andrade +1 more
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Contagion and Interdependencies: A Dynamic Connectedness approach among Implied Volatilities
Cogent Economics & Finance, 2022 This study employs the TVP-VAR approach to capture the degree of interdependencies and contagion among sixteen implied volatilities. The 16 daily implied volatility indices comprise the implied volatility from various financial assets, such as ...
Gilbert K. Amoako +4 more
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Role of the Global Volatility Indices in Predicting the Volatility Index of the Indian Economy
Risks, 2022 Movements in the volatility index of the Indian economy are influenced by global volatility indices (fear index). This study evaluates the influence of various global implied volatility indices in forecasting the day-to-day binary movements in the ...
Akhilesh Prasad, Priti Bakhshi
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Capturing the volatility smile: parametric volatility models versus stochastic volatility models [PDF]
Public and Municipal Finance, 2016 Black-Scholes option pricing model (1973) assumes that all option prices on the same underlying asset with the same expiration date, but different exercise prices should have the same implied volatility.
Belen Blanco
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Implied Tail Risk and ESG Ratings
Mathematics, 2021 This paper explores whether the high or low ESG rating of a company is related to the level of its implied tail risk, measured on the basis of derivative data by implied skewness and implied kurtosis.
Jingyan Zhang +2 more
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Journal of Mathematics, 2021 Liquidity reflects the quality of the market. When the market is short of liquidity, it often causes investors’ trading difficulties and stock price volatility, expanding the investment risk.
Hairong Cui, Jinfeng Fei, Xunfa Lu
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