Pricing Cryptocurrency Options

Bibliographic Details
Title: Pricing Cryptocurrency Options
Authors: Hou, Ai Jun, Wang, Weining, Chen, Cathy Y. H., Härdle, Wolfgang Karl
Source: Journal of Financial Econometrics, Volume 18, Issue 2, Spring 2020, Pages 250 to 279
Publication Year: 2020
Collection: Quantitative Finance
Subject Terms: Quantitative Finance - Statistical Finance
More Details: Cryptocurrencies, especially Bitcoin (BTC), which comprise a new digital asset class, have drawn extraordinary worldwide attention. The characteristics of the cryptocurrency/BTC include a high level of speculation, extreme volatility and price discontinuity. We propose a pricing mechanism based on a stochastic volatility with a correlated jump (SVCJ) model and compare it to a flexible co-jump model by Bandi and Ren\`o (2016). The estimation results of both models confirm the impact of jumps and co-jumps on options obtained via simulation and an analysis of the implied volatility curve. We show that a sizeable proportion of price jumps are significantly and contemporaneously anti-correlated with jumps in volatility. Our study comprises pioneering research on pricing BTC options. We show how the proposed pricing mechanism underlines the importance of jumps in cryptocurrency markets.
Document Type: Working Paper
DOI: 10.1093/jjfinec/nbaa006
Access URL: http://arxiv.org/abs/2009.11007
Accession Number: edsarx.2009.11007
Database: arXiv
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  Data: <searchLink fieldCode="AR" term="%22Hou%2C+Ai+Jun%22">Hou, Ai Jun</searchLink><br /><searchLink fieldCode="AR" term="%22Wang%2C+Weining%22">Wang, Weining</searchLink><br /><searchLink fieldCode="AR" term="%22Chen%2C+Cathy+Y%2E+H%2E%22">Chen, Cathy Y. H.</searchLink><br /><searchLink fieldCode="AR" term="%22Härdle%2C+Wolfgang+Karl%22">Härdle, Wolfgang Karl</searchLink>
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  Data: Journal of Financial Econometrics, Volume 18, Issue 2, Spring 2020, Pages 250 to 279
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  Data: Cryptocurrencies, especially Bitcoin (BTC), which comprise a new digital asset class, have drawn extraordinary worldwide attention. The characteristics of the cryptocurrency/BTC include a high level of speculation, extreme volatility and price discontinuity. We propose a pricing mechanism based on a stochastic volatility with a correlated jump (SVCJ) model and compare it to a flexible co-jump model by Bandi and Ren\`o (2016). The estimation results of both models confirm the impact of jumps and co-jumps on options obtained via simulation and an analysis of the implied volatility curve. We show that a sizeable proportion of price jumps are significantly and contemporaneously anti-correlated with jumps in volatility. Our study comprises pioneering research on pricing BTC options. We show how the proposed pricing mechanism underlines the importance of jumps in cryptocurrency markets.
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