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研究生: 唐寧
Tang,Ning
論文名稱: 基于神經網路模型的台指選擇權定價實證分析
The Study of TXO Option Pricing Based on The Neural Network
指導教授: 廖四郎
Liao, Szu-Lang
口試委員: 黃台心
Huang, Tai-Hsin
黃星華
Huang, Hsing-Hua
連育民
Lian, Yu-Min
學位類別: 碩士
Master
系所名稱: 商學院 - 金融學系
Department of Money and Banking
論文出版年: 2018
畢業學年度: 106
語文別: 中文
論文頁數: 57
中文關鍵詞: 選擇權定價深度學習神經網路模型
外文關鍵詞: Option pricing, Deep learning, Neural network model
DOI URL: http://doi.org/10.6814/THE.NCCU.MB.014.2018.F06
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  • 在金融衍生性商品中,選擇權一直是一種重要的基礎性產品,因此選擇權定價一直學者研究的重點。近40年來選擇權發展中最重要的成果就是Black- Scholes 選擇權定價模型。然而由于該模型理想化的假設,導致它在真實定價過程中容易出現明顯的誤差。但是神經網路模型有著利用資料開始自我學習的特性,可以不用假設條件,單純由資料確定模型的結構和參數。
    本文選取2008年到2018年的臺灣加權指數選擇權(TXO)日資料作爲研究對象,利用Python構建NN神經網路模型,將買權資料分爲買權完整資料、買權價內資料、買權價平資料、買權價外資料、買權上漲趨勢資料、買權下跌趨勢資料共6類資料。再加上賣權的6類資料,一共12大類資料。分別進行訓練模型。最後採用MSE、MAE兩種誤差指標來評價不同模型的預測精度。
    最後發現NN神經網路模型的定價精度大多優于BS模型的期權定價效果。同時NN模型的價外選擇權資料的定價效果更精確,幷且按漲跌趨勢劃分後的選擇權資料定價效果也比完整資料的定價效果要好。


    Option is a significant basic product in financial derivatives. How to price an option is a major issue to many scholars. During the last 40 years, Black-Scholes option pricing model has been considered as the crucial research achievement. However, obvious bias occurs in the real market pricing procedure due to the idealized assumption of this model. The neural network model has the characteristic of using data to start self-learning, so the structure and parameters of the model can be determined by data without assuming conditions.
    This thesis took TXO(2008-2018) as a research object, and used the Python to structure Neural Network(NN) model. Then the data of call option have been divided into 6 types , including‘all data’ ,‘in-the-price data’, ‘at-the-price data’, ‘out-the-price data’, ‘up-trend data’ and‘down-trend data’. The same classification is applied to the put option data. A total of 12 types of data have been trained by NN model separately. Finally, MSE and MAE are used to evaluate the accuracy of the forecasts of different models.
    In conclusion, the pricing accuracy of the neural network model is substantially better than that of the Black-Scholes model. Meanwhile , the pricing effect of out-the-price option data is more accurate, and the pricing of up-trend option data has a good effect either.

    第一章、緒論 1
    第一節、研究背景 1
    第二節、研究方法與目的 2
    第三節、論文架構 3
    第二章、文獻回顧 4
    第一節、選擇權定價的理論發展 4
    第二節、神經網路模型的相關方法 7
    第三節、神經網路模型在選擇權定價中的應用 11
    第三章、神經網路模型的設計 13
    第一節、樣本資料的選擇 13
    第二節、Black-Scholes模型設計 14
    第三節、神經網路模型(NN)的設計 19
    第四章、實證過程 26
    第一節、買權資料訓練過程 26
    第二節、賣權資料訓練過程 34
    第三節、上漲趨勢資料和下跌趨勢資料分別的訓練過程 41
    第四節、Black-Scholes公式的測試過程 47
    第五章、實證結果與分析 50
    第一節、實證結果 50
    第二節、結果分析 52
    第三節、研究展望 53
    參考文獻 55

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