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題名 The Valuation of European Options When Asset Returns Are Autocorrelated
作者 廖四郎;陳昭君
Liao, Szu-Lang ; Chen, Chao-Chun
關鍵詞 European Option Pricing; Autocorrelated Returns; Martingale Asset Pricing
日期 2006-01
上傳時間 14-Nov-2008 12:25:29 (UTC+8)
摘要 This article derives the closed-form formula for a European option on an asset with returns following a continuous-time type of first-order moving average process, which is called an MA(1)-type option. The pricing formula of these options is similar to that of Black and Scholes, except for the total volatility input. Specifically, the total volatility input of MA(1)-type options is the conditional standard deviation of continuous-compounded returns over the option`s remaining life, whereas the total volatility input of Black and Scholes is indeed the diffusion coefficient of a geometric Brownian motion times the square root of an option`s time to maturity. Based on the result of numerical analyses, the impact of autocorrelation induced by the MA(1)-type process is significant to option values even when the autocorrelation between asset returns is weak.
關聯 Journal of Futures Markets, 26(1), 85-102
資料類型 article
DOI http://dx.doi.org/10.1002/fut.20192
dc.creator (作者) 廖四郎;陳昭君zh_TW
dc.creator (作者) Liao, Szu-Lang ; Chen, Chao-Chun-
dc.date (日期) 2006-01en_US
dc.date.accessioned 14-Nov-2008 12:25:29 (UTC+8)-
dc.date.available 14-Nov-2008 12:25:29 (UTC+8)-
dc.date.issued (上傳時間) 14-Nov-2008 12:25:29 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/7456-
dc.description.abstract (摘要) This article derives the closed-form formula for a European option on an asset with returns following a continuous-time type of first-order moving average process, which is called an MA(1)-type option. The pricing formula of these options is similar to that of Black and Scholes, except for the total volatility input. Specifically, the total volatility input of MA(1)-type options is the conditional standard deviation of continuous-compounded returns over the option`s remaining life, whereas the total volatility input of Black and Scholes is indeed the diffusion coefficient of a geometric Brownian motion times the square root of an option`s time to maturity. Based on the result of numerical analyses, the impact of autocorrelation induced by the MA(1)-type process is significant to option values even when the autocorrelation between asset returns is weak.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Journal of Futures Markets, 26(1), 85-102en_US
dc.subject (關鍵詞) European Option Pricing; Autocorrelated Returns; Martingale Asset Pricing-
dc.title (題名) The Valuation of European Options When Asset Returns Are Autocorrelateden_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1002/fut.20192en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1002/fut.20192en_US