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

作     者:Noshaba Zulfiqar Saqib Gulzar 

作者机构:COMSATS University Islamabad-Wah CampusWah CanttPakistan 

出 版 物:《Financial Innovation》 (金融创新(英文))

年 卷 期:2021年第7卷第1期

页      面:1508-1537页

核心收录:

学科分类:0202[经济学-应用经济学] 02[经济学] 1202[管理学-工商管理] 020205[经济学-产业经济学] 

主  题:Bitcoin options Deribit Bitcoin smile Implied volatility estimation Numerical estimation 

摘      要:The recently developed Bitcoin futures and options contracts in cryptocurrency derivatives exchanges mark the beginning of a new era in Bitcoin price risk *** need for these tools dates back to the market crash of 1987,when investors needed better ways to protect their portfolios through option *** tools provide greater flexibility to trade and hedge volatile swings in Bitcoin prices *** violation of constant volatility and the log-normality assumption of the Black–Scholes option pricing model led to the discovery of the volatility smile,smirk,or skew in options *** stylized facts;that is,the volatility smile and implied volatilities implied by the option prices,are well documented in the option literature for almost all financial *** are expected to be true for Bitcoin options as *** data sets for the study are based on short-dated Bitcoin options(14-day maturity)of two time periods traded on Deribit Bitcoin Futures and Options Exchange,a Netherlandsbased cryptocurrency derivative *** estimated results are compared with benchmark Black–Scholes implied volatility values for accuracy and efficiency *** study has two aims:(1)to provide insights into the volatility smile in Bitcoin options and(2)to estimate the implied volatility of Bitcoin options through numerical approximation techniques,specifically the Newton Raphson and Bisection *** experimental results show that Bitcoin options belong to the commodity class of assets based on the presence of a volatility forward skew in Bitcoin option ***,the Newton Raphson and Bisection methods are effective in estimating the implied volatility of Bitcoin ***,the Newton Raphson forecasting technique converges faster than does the Bisection method.

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