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Implied volatility estimation of bitcoin options and the stylized facts of option pricing [PDF]

open access: yesFinancial 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
doaj   +3 more sources

Asymptotics of Forward Implied Volatility [PDF]

open access: greenSSRN Electronic Journal, 2015
We prove here a general closed-form expansion formula for forward-start options and the forward implied volatility smile in a large class of models, including the Heston stochastic volatility and time-changed exponential L\'evy models.
Antoine Jacquier, Patrick Roome
core   +10 more sources

PCA for Implied Volatility Surfaces [PDF]

open access: yesThe 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 US equities, there is a PCA-based model with a principal eigenportfolio whose return time series ...
M. Avellaneda   +3 more
semanticscholar   +5 more sources

Convergence of At-The-Money Implied Volatilities to the Spot Volatility [PDF]

open access: bronzeJournal of Applied Probability, 2008
We study the convergence of at-the-money implied volatilities to the spot volatility in a general model with a Brownian component and a jump component of finite variation. This result is a consequence of the robustness of the Black-Scholes formula and of the central limit theorem for martingales.
Valdo Durrleman
openalex   +4 more sources

Forward implied volatility expansion in time-dependent local volatility models****** [PDF]

open access: diamondESAIM: 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
doaj   +2 more sources

Is it worth tracking dollar/real implied volatility?

open access: diamondEconomia 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
doaj   +2 more sources

The Chebyshev Method for the Implied Volatility [PDF]

open access: yesJournal of Computational Finance, 2017
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.
K. Glau, Paul Herold, D. Madan, C. Pötz
semanticscholar   +6 more sources

The stock implied volatility and the implied dividend volatility [PDF]

open access: yesJournal of Economic Dynamics and Control, 2022
This study compares the information on the implied volatility surface of a stock-index with the corresponding information on the implied volatility surface of the index dividend futures. We outline an optimisation technique for comparing implied volatility estimates based on the Black-Scholes model, Black model and a model-free approach, for stock ...
Quaye, Enoch N B, Tunaru, Radu
openaire   +3 more sources

Simulation of Arbitrage-Free Implied Volatility Surfaces

open access: yesSocial Science Research Network, 2023
We present a computationally tractable method for simulating arbitrage-free implied volatility surfaces. We illustrate how our method may be combined with a data-driven model based on historical SPX implied volatility data to generate dynamic scenarios ...
R. Cont, Milena Vuletić
semanticscholar   +1 more source

Contagion and Interdependencies: A Dynamic Connectedness approach among Implied Volatilities

open access: yesCogent 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
doaj   +1 more source

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