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題名 Applications of linear ordinary differential equations and dynamic system to economics – an example of Taiwan stock index TAIEX
作者 Chen, Nien-Ping
李明融
Li, Meng-Rong
Tsung-Jui, Chiang-Lin
李詠玄
Lee, Young-Shiuan
貢獻者 統計博六
關鍵詞 Newton`s law of cooling; nonlinear dynamic system; ordinary differential equation; stock index closing price; Taiwan Stock Exchange Capitalisation Weighted Stock Index
日期 2017-08
上傳時間 28-Aug-2018 14:28:17 (UTC+8)
摘要 Mean reversion of stock price is an observed phenomenon in finance. It is similar to the concept of Newton`s law of cooling. Three models of ordinary differential equation are derived from the concept and solved by dynamic integration. The models are applied to the daily closing price of Taiwan Stock Exchange Capitalisation Weighted Stock Index. Empirical study shows that the models have good fits and forecasts although errors appear during the dynamic forecasting process. The applicability of the models and future modification are also discussed.
關聯 International Journal of Dynamical Systems and Differential Equations, Vol.7, No.2, pp.95-111
資料類型 article
DOI https://doi.org/10.1504/IJDSDE.2017.085824
dc.contributor 統計博六
dc.creator (作者) Chen, Nien-Pingen_US
dc.creator (作者) 李明融zh_TW
dc.creator (作者) Li, Meng-Rongen_US
dc.creator (作者) Tsung-Jui, Chiang-Linen_US
dc.creator (作者) 李詠玄zh_TW
dc.creator (作者) Lee, Young-Shiuanen_US
dc.date (日期) 2017-08
dc.date.accessioned 28-Aug-2018 14:28:17 (UTC+8)-
dc.date.available 28-Aug-2018 14:28:17 (UTC+8)-
dc.date.issued (上傳時間) 28-Aug-2018 14:28:17 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/119686-
dc.description.abstract (摘要) Mean reversion of stock price is an observed phenomenon in finance. It is similar to the concept of Newton`s law of cooling. Three models of ordinary differential equation are derived from the concept and solved by dynamic integration. The models are applied to the daily closing price of Taiwan Stock Exchange Capitalisation Weighted Stock Index. Empirical study shows that the models have good fits and forecasts although errors appear during the dynamic forecasting process. The applicability of the models and future modification are also discussed.en_US
dc.format.extent 133 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) International Journal of Dynamical Systems and Differential Equations, Vol.7, No.2, pp.95-111
dc.subject (關鍵詞) Newton`s law of cooling; nonlinear dynamic system; ordinary differential equation; stock index closing price; Taiwan Stock Exchange Capitalisation Weighted Stock Indexen_US
dc.title (題名) Applications of linear ordinary differential equations and dynamic system to economics – an example of Taiwan stock index TAIEXen_US
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1504/IJDSDE.2017.085824
dc.doi.uri (DOI) https://doi.org/10.1504/IJDSDE.2017.085824