Unbiasing and robustifying implied volatility calibration in a cryptocurrency market with large bid-ask spreads and missing quotes
@inproceedings{Echenim2022UnbiasingAR, title={Unbiasing and robustifying implied volatility calibration in a cryptocurrency market with large bid-ask spreads and missing quotes}, author={Mnacho Echenim and Emmanuel Gobet and Anne-Claire Maurice}, year={2022} }
We design a novel calibration procedure that is designed to handle the specific characteristics of options on cryptocurrency markets, namely large bid-ask spreads and the possibility of missing or incoherent prices in the considered data sets. We show that this calibration procedure is significantly more robust and accurate than the standard one based on trade and mid-prices.
Figures and Tables from this paper
References
SHOWING 1-10 OF 40 REFERENCES
Arbitrage-free SVI volatility surfaces
- Mathematics
- 2012
In this article, we show how to calibrate the widely used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of static arbitrage. In particular, we exhibit…
Hyp Hyp Hooray
- Economics
- 2007
A new stochastic-local volatility model is introduced. The new model’s structural features are carefully selected to accommodate economic principles, financial markets’ reality, mathematical…
Arbitrage-free smoothing of the implied volatility surface
- Economics
- 2009
The pricing accuracy and pricing performance of local volatility models depends on the absence of arbitrage in the implied volatility surface. An input implied volatility surface that is not…
Convergence of Heston to SVI
- Mathematics
- 2010
In this short note, we prove by an appropriate change of variables that the SVI implied volatility parameterization presented in Gatheral's book and the large-time asymptotic of the Heston implied…
Martingale Methods in Financial Modelling
- Economics
- 2002
Spot and Futures Markets.- An Introduction to Financial Derivatives.- Discrete-time Security Markets.- Benchmark Models in Continuous Time.- Foreign Market Derivatives.- American Options.- Exotic…
Arbitrage-free approximation of call price surfaces and input data risk
- Mathematics
- 2012
In this paper we construct arbitrage-free call price surfaces from observed market data by locally constrained least squares approximations. The algorithm computes derivatives of the call surface…
Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation
- Economics
- 2005
Given the price of a call or put option, the Black-Scholes implied volatility is the unique volatility parameter for which the Black-Scholes formula recovers the option price. This article surveys…
MANAGING SMILE RISK
- Economics
- 2002
Market smiles and skews are usually managed by using local volatility models a la Dupire. We discover that the dynamics of the market smile predicted by local vol models is opposite of observed…
EXPLICIT IMPLIED VOLATILITIES FOR MULTIFACTOR LOCAL‐STOCHASTIC VOLATILITY MODELS
- Economics, Mathematics
- 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…