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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.
Reiswich, Dimitri, Wystup, Uwe
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Arbitrage-Free Prediction of the Implied Volatility Smile [PDF]
SSRN Electronic Journal, 2014 18 pages, 2 figures; a shorter version of this paper has appeared as a Technical Paper in Risk (30 April 2014) under the title "Smile transformation for price prediction"
Petros Dellaportas +1 more
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Interest Rate Convexity and the Volatility Smile [PDF]
SSRN Electronic Journal, 2009 When pricing the convexity effect in irregular interest rate derivatives such as, e.g., Libor-in-arrears or CMS, one often ignores the volatility smile, which is quite pronounced in the interest rate options market. This note solves the problem of convexity by replicating the irregular interest flow or option with liquidly traded options with different
Boenkost, Wolfram, Schmidt, Wolfgang M.
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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
doaj +6 more sources
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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Smiling under stochastic volatility [PDF]
Spanish Economic Review, 2004 Gonzalo Rubio and Ángel León acknowledge the financial support provided by Ministerio de Ciencia y Tecnología grants BEC2001-0636 and BEC2002-03797 respectively. Ángel León also acknowledges Generalitat Valenciana grant CTIDIA/2002/103.
Rubio Irigoyen, Gonzalo, León, Angel
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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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A volatility smile-based uncertainty index [PDF]
Annals of Finance, 2021 We propose a new uncertainty index based on the discrepancy of the smile of FX options. We show that our index spikes near turbulent periods, forecasts economic activity and its innovations hold a significant and negative equity premium. Unlike other uncertainty indexes, our index is supported by equilibrium models, which relate the difference of ...
José Valentim Machado Vicente +1 more
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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
Zurab Kakushadze
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On refined volatility smile expansion in the Heston model [PDF]
Quantitative Finance, 2011 It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment $s_+$ can be obtained by solving (numerically) a simple equation. This yields a leading order expansion for the implied volatility at large strikes: $ _{BS}( k,T)^{2}T\sim (s_+-1) \times k$ (Roger Lee's moment formula).
P. Friz +3 more
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