Unbiasing and robustifying implied volatility calibration in a cryptocurrency market with large bid-ask spreads and missing quotes

被引:0
作者
Echenim, Mnacho [1 ]
Gobet, Emmanuel [2 ]
Maurice, Anne-Claire [3 ]
机构
[1] Domaine Univ, Lab Informat Grenoble LIG, CNRS, Grenoble INP,UGA, 700 Ave Cent, F-38401 Saint Martin Heres, France
[2] Inst Polytech Paris, Ecole Polytech, Ctr Math Appl CMAP, CNRS, Route Saclay, F-91128 Palaiseau, France
[3] Kaiko Quantitat Data, 2 Rue Choiseul, F-75002 Paris, France
关键词
Implied volatility; Calibration; Bid-ask spread; Missing data; Data augmentation; Crypto-assets; HESTON;
D O I
10.1080/14697688.2023.2229022
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
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 ordinary one based on trade and mid-prices.
引用
收藏
页码:1285 / 1304
页数:20
相关论文
共 38 条
[1]   On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility [J].
Alos, Elisa ;
Leon, Jorge A. ;
Vives, Josep .
FINANCE AND STOCHASTICS, 2007, 11 (04) :571-589
[2]  
Bergomi L., 2011, PREPRINT
[3]   Analytical approximations of local-Heston volatility model and error analysis [J].
Bompis, R. ;
Gobet, E. .
MATHEMATICAL FINANCE, 2018, 28 (03) :920-961
[4]  
Bompis R., 2012, RECENT DEV COMPUTATI, P159
[5]  
Chamakh L., 2021, MINOR REVISION BERNO
[6]  
Chamakh L, 2020, J MACH LEARN RES, V21
[7]   Robust calibration and arbitrage-free interpolation of SSVI slices [J].
Corbetta, Jacopo ;
Cohort, Pierre ;
Laachir, Ismail ;
Martini, Claude .
DECISIONS IN ECONOMICS AND FINANCE, 2019, 42 (02) :665-677
[8]  
De Marco S., 2009, ZELIADE WHITE PAPER, P1
[9]   A central limit theorem for normalized functions of the increments of a diffusion process, in the presence of round-off errors [J].
Delattre, S ;
Jacod, J .
BERNOULLI, 1997, 3 (01) :1-28
[10]   Algebraic properties of beta and gamma distributions, and applications [J].
Dufresne, D .
ADVANCES IN APPLIED MATHEMATICS, 1998, 20 (03) :285-299