{"title":"条件波动和条件非正态下长记忆比特币期权的市场一致性估值","authors":"Tak Kuen Siu","doi":"10.1002/fut.22597","DOIUrl":null,"url":null,"abstract":"<p>This paper investigates the economic consequences for Bitcoin options' prices of a long memory in conditional volatility and conditional non-normality of Bitcoin returns. The arbitrage-free prices of Bitcoin options are determined by market consistent valuation and the conditional Esscher transform. Monte Carlo estimates for option prices from estimated models based on Bitcoin returns data are provided. Explanations for the results from an economic perspective are provided. Economic insights and implications of the results for the nature of cryptocurrencies, their risk evaluation, and the hedging of Bitcoin's derivatives are explored.</p>","PeriodicalId":15863,"journal":{"name":"Journal of Futures Markets","volume":"45 8","pages":"917-945"},"PeriodicalIF":1.8000,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fut.22597","citationCount":"0","resultStr":"{\"title\":\"Market Consistent Valuation for Bitcoin Options With Long Memory in Conditional Volatility and Conditional Non-Normality\",\"authors\":\"Tak Kuen Siu\",\"doi\":\"10.1002/fut.22597\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper investigates the economic consequences for Bitcoin options' prices of a long memory in conditional volatility and conditional non-normality of Bitcoin returns. The arbitrage-free prices of Bitcoin options are determined by market consistent valuation and the conditional Esscher transform. Monte Carlo estimates for option prices from estimated models based on Bitcoin returns data are provided. Explanations for the results from an economic perspective are provided. Economic insights and implications of the results for the nature of cryptocurrencies, their risk evaluation, and the hedging of Bitcoin's derivatives are explored.</p>\",\"PeriodicalId\":15863,\"journal\":{\"name\":\"Journal of Futures Markets\",\"volume\":\"45 8\",\"pages\":\"917-945\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2025-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fut.22597\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Futures Markets\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/fut.22597\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Futures Markets","FirstCategoryId":"96","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/fut.22597","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
Market Consistent Valuation for Bitcoin Options With Long Memory in Conditional Volatility and Conditional Non-Normality
This paper investigates the economic consequences for Bitcoin options' prices of a long memory in conditional volatility and conditional non-normality of Bitcoin returns. The arbitrage-free prices of Bitcoin options are determined by market consistent valuation and the conditional Esscher transform. Monte Carlo estimates for option prices from estimated models based on Bitcoin returns data are provided. Explanations for the results from an economic perspective are provided. Economic insights and implications of the results for the nature of cryptocurrencies, their risk evaluation, and the hedging of Bitcoin's derivatives are explored.
期刊介绍:
The Journal of Futures Markets chronicles the latest developments in financial futures and derivatives. It publishes timely, innovative articles written by leading finance academics and professionals. Coverage ranges from the highly practical to theoretical topics that include futures, derivatives, risk management and control, financial engineering, new financial instruments, hedging strategies, analysis of trading systems, legal, accounting, and regulatory issues, and portfolio optimization. This publication contains the very latest research from the top experts.