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Implied volatility estimation of bitcoin options and the stylized facts of option pricing [PDF]
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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FX Volatility Smile Construction [PDF]
Wilmott, 2012 The foreign exchange options market is one of the largest and most liquid OTC derivative markets in the world. Surprisingly, very little is known in the academic literature about the construction of the most important object in this market: The implied volatility smile.
Dimitri Reiswich, Uwe Wystup
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Volatility smile as relativistic effect [PDF]
Physica A: Statistical Mechanics and its Applications, 2017 We give an explicit formula for the probability distribution based on a relativistic extension of Brownian motion. The distribution 1) is properly normalized and 2) obeys the tower law (semigroup property), so we can construct martingales and self-financing hedging strategies and price claims (options). This model is a 1-constant-parameter extension of
Zura Kakushadze
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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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SSRN Electronic Journal, 2001 The paper assumes that the implied volatility of options with some given expiration is a quadratic function of the moneyness. The coefficients of this quadratic function (the smile) are time dependent and stochastic. The paper derives exposure parameters of the price of the option to the local change in each of the smile coefficients, and an ...
Haim Reisman
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Volatility smile at the Russian option market
Journal of Business Economics and Management, 2006 The main derivative exchange in Russia is FORTS (Futures and Options in RTS) which is a division of Russian Trade System (RTS). The underlying assets of option contracts are futures on Russian companies’ shares: OJSC “EES"1, OJPC “Lukoil"2 and OJSC ...
D. Golembiovsky, I. Baryshnikov
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The forward smile in local–stochastic volatility models
SSRN Electronic Journal, 2016 We introduce an asymptotic expansion for forward start options in a multi-factor local-stochastic volatility model. We derive explicit approximation formulas for the so-called forward implied volatility which can be useful to price complex path-dependent options, as cliquets.
Andrea Mazzon, Andrea Pascucci
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Journal of Function Spaces, 2021 It has been found that the surface of implied volatility has appeared in financial market embrace volatility “Smile” and volatility “Smirk” through the long-term observation.
Yanli Zhou +3 more
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The Heston Model with Time-Dependent Correlation Driven by Isospectral Flows
Mathematics, 2021 In this work, we extend the Heston stochastic volatility model by including a time-dependent correlation that is driven by isospectral flows instead of a constant correlation, being motivated by the fact that the correlation between, e.g., financial ...
Long Teng
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Smiles & smirks: Volatility and leverage by jumps [PDF]
European Journal of Operational Research, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ballotta, L., Grégory, R.
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