在現今的技術分析中，價量關係的運用已非常廣泛，而隨著股市的發展以及專業人士的研究，不同的背景有著不同的價量關係，種種的說辭如「量先價行」、「量價背離」等，但似乎依然意見分歧。
	本研究主要探討美國(納斯達克股價指數)股市價量之共積關係，即為由短期動態調整至長期均衡的過程，以非線性平滑轉換誤差修正模型為實證方法，實證結果發現在研究期間內，美國股市的價量間確實存在非常顯著的共積關係，且呈現正相關，但長期均衡關係的穩定性稍嫌不足。在兩變數中，美國以指數為弱外生變數，其價量關係之非線性模型在轉換門檻值-3.644上下分別為不同的狀態，呈現非線性調整為exponential的對稱型態。

In the latter technical analysis, the study investigates the relationship between stock price and trading volume is exercised very extensively. As the advance of the stock market and the research of professional, a different background usually results in the difference of the relationship between stock price and trading volume. Some statement such as “trading volume lead price” or “the aversion between trading volume and price”, but that seems to be divergent.
	The purpose of this paper is to discuss the cointegrated relationship between trading volume and price of stock market in America (Nasdaq index). That is the regulative process from short-run to long-run. And the model used in this paper is non-linear Smooth Transition Regression Model. The empirical results show that the stock price and trading volume in America cointegrated and negatively associated with each other. But the stability of the long-run relationship is deficient. Among the two variables, stock price index is a weak-exogenous variables. The evidence suggest that the regulative process of trading volume formed as exponential non-symmetry flame.

目錄：
第一章 緒論..........................................1
第一節	研究動機與目的..............................1
第二節	研究限制....................................3
第三節	預期研究貢獻................................4
第四節    研究架構與流程.............................5
第二章 理論模型與文獻回顧............................7
第一節	價量關係的理論模型..........................7
第二節	價量同期關係文獻探討.......................10
第三節	價量因果關係的文獻探討.....................11
第三章 實證模型設定.................................17
第一節    單根檢定..................................17
第二節    共積向量的估計與檢定......................21
第三節    線性誤差模型的建立........................24
第四節    非線性平滑轉換誤差修正模型之建立..........25
第五節    遞延參數與線性檢定........................28
第六節    轉換函數..................................29
第四章 實證分析.....................................30
第一節    實證步驟..................................30
第二節    資料來源與處理............................31
第三節	單根檢定...................................32
第四節	長期均衡關係之共積分析.....................35
第五節	線性誤差修正模型...........................42
第六節	非線性模型與轉換函數的選擇.................43
第七節	非線性模型估計.............................43
第五章 結論.........................................49
參考文獻............................................51

表目錄
【表2-1】價量同期關係文獻彙整.......................14
【表2-2】價量因果關係文獻彙整.......................15
【表4-1】指數與交易量基本統計量.....................31
【表4-2】單根檢定-水準項............................32
【表4-3】單根檢定-差分項............................33
【表4-4】共積分析之誤差序列相關檢定.................35
【表4-5】共積向量檢定...............................36
【表4-6】模型之估計檢定結果.........................38
【表4-7】共積分析之誤差序列相關檢定.................38
【表4-8】共積向量檢定...............................39
【表4-9】修正後模型之估計檢定結果...................40
【表4-10】線性誤差修正模型(ECM)估計結果.............42
【表4-11】非線性檢定................................43
【表4-12】納斯達克指數交易量之ESTECM模型估計........46

圖目錄
【圖4-1a】股價指數與差分後圖形.....................34
【圖4-1b】股價指數交易量與差分後圖形...............34
【圖4-2】伴隨矩陣特性根............................37
【圖4-3】共積向量圖................................37
【圖4-4】特性根檢定................................37
【圖4-5】伴隨矩陣特性根............................39
【圖4-6】特性根檢定................................40
【圖4-7】價量共積關係Trace檢定.....................41
【圖4-8】價量共積關係- 穩定性檢定..................41
【圖4-9】轉換函數( =0.015， =-3.644)...............48
【圖4-10】轉換函數值時間走勢.......................48

參考文獻
國外文獻
A Ronald Gallant; Peter E Rossi; George Tauchen, (1992), “Stock Prices and Volume,” Review of Financial Studies(1986-1998), vol.5, iss.2, pp199-242.

Anwer S Ahmed; Richard A Schneible Jr; Douglas E Stevens, (2003), “An Empirical Analysis of the Effects of Online Trading on Stock Price and Trading Volume Reactions to Earnings Announcements,” Contemporary Accounting Research, Vol.20, iss.3, pp.413-439.

Baker, M. and J. C. Stein, (2004), “Market Liquidity as a Sentiment Indicator,” Journal of Financial Markets, vol.7, pp.271-299.

Bessembinder, H., K. Chan and P. J. Seguin, (1996), “An Empirical Examination of Information, Difference of Option, and Trading Activity,” Journal of Financial Economics, vol.40, pp.105-134.

Blume Lawrence, David Easley and Maureen O’Hara, (1994), “Market Statistics and Technical Analysis: The Role of Volume,” Journal of Finance, vol.49, iss.1, pp.153-181.

Cheung, Y. W., and K. S. Lai (1995), “Lag Order and Critical Values of the Augmented Dickey-Fuller Test” Journal of Business & Economic Statistics, vol.13, pp.277-280.

Clark, P. (1973), “A Subordinated Stochastic Process Model With Finite For Speculative Prices,” Econometrica, vol.41, pp.135-156.

Campbell, John Y., Sanford J. Grossman and Jiang Wang, (1993), “Trading volume and serial correlation in stock returns,” Quarterly Journal of Economics, vol.108, pp.905-939.

Cohen, Maier, Schwartz, and Withcomb (1979), “Implications of Microstructure Theory for Empirical Research in Stock Price Behavior” Journal of Finance, vol.35, pp.249-257.

Cooper, M., (1999), “Filter Rules Based on Price and Volume in Individual Security Overreaction, ” Review of Financial Studies, vol.12, pp.901-935.

Copeland, T. E., (1976), “A Model of Asset Trading under the Assumption of Sequential Information Arrival,” Journal of Finance, vol.31, pp.1149-1168.

Copeland, T. E., (1977), “A Probability Model of Asset Trading,” Journal of Financial and Quantitative Analysis, vol.12, pp.563-578.

Crouch, R. (1970), “The Volume of Transactions and Price Changes on the New York Stock Exchange,” Financial Analysis Journal, vol.26, pp.104-109.

Dickey, D. and Fuller, W. (1979), “Distribution of the estimators for autoregressive time series with a unit root”, Journal of the American Statistical Association, vol.74, pp.427-431.

Dickey, David A and Fuller, Wayne A, (1981), “Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root,” Econometrica, Econometric Society, vol.49(4), pp.1057-72.

Diks, C. and V. Panchenko (2006), “A New Statistic and Practical Guidelines for Nonparametric Granger Causality Testing,” Journal of Economic Dynamics and Control, vol.30, pp.1647-1669.

Elliott, G., T. J. Rothenberg, and J. H. Stock (1996), “Efficient Tests for Autoregressive Unit Root,” Econometrica, vol.64, pp.813-836.

Elliott, G., (1999), “Efficient Tests for a Unit Root when the Initial Observation is Drawn From its Unconditional Distribution,” International Economic Review, vol.40, pp.767-783.

Engle,R.f. and Granger,C.W.J, (1987), “Co-intergration and Error Correction : Representation Estimation and Testing,” Econometica, vol.55, pp.251-276.

Engle, R. F. and B. S. Yoo, (1987), “Forecasting and testing in cointegrated system,” Journal of Econometrics, vol.35, pp.143-159.


Epps, T. and M. Epps, (1976), “The stochastic dependence of security price changes and transaction volume: implications for the mixture of distribution hypothesis,” Econometrica, vol.44, pp.305-321.

Eric Ghysels; Christian Gourieroux; Joanna Jasiak  (1998), “Causality between Returns and Traded Volumes,” Pennsylvania State University and CIRANO; CREST and CEPREMAP; York University.

Ghysels, E., Gourieroux, C. and Jasiak, J. (2000), “Causality between returns and traded volumes,” annals d’Economie et de Statistique, vol.60, pp.189-206.

Granger, C. and W. Morgenstern, (1963), “Spectral Analysis, of New York Stock Market Prices,” Kyklos, vol.16, pp.1-27.

Granger, C.W.J., (1986), “Developments in the Study of Co-integration and Error-Correction Models,” Oxford Bulletin of Economics and Statistics, vol.48, pp.213-228.

Granger, C.W.J. and Terasvirta T. (1993), “Modeling Nonlinear Economic Relationships,” Oxford University of London.

Granger, C.W.J., and P. Newbold (1974), “Spurious regressions in econometrics,” Journal of Econometrics, vol.2, pp.111-120.

Harris, M. and Raviv, A. (1993), “Differences of opinion make a horse race,” Review of Financial Studies, vol.6, pp.473-506.

Hiemstra Craig and Jonathan D. Jones, (1994), “Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation,” The Journal of Finance, vol.49, iss.5, pp.1639-1664.

Huang, C.J, C.F. Lin, and J.C. Cheng, (2001), “Evidence on Nonlinear Error Correction in Money Demand: the Case of Taiwan,” Applied Economics, vol.33 pp.1727-1736.

Jain, P. and G. Joh, (1988), “The Dependence between Hourly Prices and Trading Volume,” Journal of Financial and Quantitative Analysis, vol.23, pp.269-84.

Johansen, S. and K. Juselius (1990), “Maximum Likelihood Estimation and Inference on Cointegration with Applications to the Demand for Money,” Oxford Bulletin of Economics and Statistics, vol.52, pp.169-210.

John Y. Campbell; Sanford J. Grossman; Jiang Wang, (1993), “Trading Volume and Serial Correlation in Stock Returns,” The Quarterly Journal of Economics, vol.108, no.4, pp.905-939.

Karpoff Jonathan M., (1987), “The Relation Between Price Changes and Trading Volume: A survey”, The Journal of Financial and Quantitative Analysis, vol.22, iss.1 pp.109-126.

L Jibon Kumar Sharma, (2006), “Stock Price Changes and Trading Volume in context of India’s Economic Liberalization and its emergent Impact,” Finance India, vol.20, iss.1, pp.99-118.

Lakonishok, J. and S. Smidt, (1989), “Past price changes and current trading volume,” Journal of Portfolio Management vol.15, pp.18-24.

Lamoureux, C. G. and W. D. Lastrapes, (1990), “Heteroskedasticity in Stock Return Data: Volume versus GARCH Effects,” Journal of Finance vol.45, pp.221-229.

Lee, B. S. and O. M. Rui, (2002), “The Dynamic Relationship between Stock Returns and Trading Volume: Domestic and Cross-country Evidence,” Journal of Banking and Finance, vol.26, pp.51-78.

Martin T. Bohl & Harald Henke, (2003), “Trading volume and stock market volatility: The Polish case,” International Review of Financial Analysis, vol.12, pp.513-525.

Matti Suominen, (2001), “Trading volume and information revelation in stock markets,” Journal of Financial and Quantitative Analysis, vol.36, iss.4, pp.545-565.

Mohammad G Rovvani; Rafiqul Bhuyan, (2005), “Introduction of futures and options on a stock index and their impact on the trading volume and volatility: Empirical evidence from the DJIA components,” Derivatives Use, Trading & Regulation, vol.11, iss.3, pp.246-260.
Ng, S., and P. Perron, (2001), “Lag Length Selection and the Construction of Unit Root Tests withGood Size and Power,” Econometrica, vol.6, pp.1519-1554.

Osborne, M. F. M. (1959), “Brownian Motion in the Stock Market,” Operation Research, pp.145-173.

Pantula, S. G., Gonzalez-Farias, G. and Fuller, W. A. (1994), “A Comparison of Unit-Root Test Criteria”, Journal of Business and Economic Statistics, vol.12, pp.449-459.

Peker K. Clark, (1973), “A Subordinated Stochastic Process Model with Finite Variance For Speculative Prices,” Econometrica, vol.41, pp.135-155.

Pesaran, M. H., Y. Shin and R. J. Smith (2001), “Bounds Testing Approaches to the Analysis of Level Relationships,” Journal of Applied Econometrics, vol.16, pp.289-326.

Phillips, P. (1987), “Time series regression with a unit root”, Econometrica, vol.55, pp.277-301.

Phillips, P. and P. Perron, (1988), “Testing for unit root in time series regression,” Biometrika, vol.75, pp.335-346.

Saatcioglu Kemal and Laura T. Starks, (1998), “The Stock Price-Volume Relationship in Emerging Stock Markets: the Case of Latin America,” International Journal of Forecasting, vol.14, pp.215-225.

Said, S. and Dickey, D. (1984), “Testing for unit roots in autoregressive-moving average model of unknown order,” Biometrica, vol.71, pp.599-607.

Shu-Heng Chen and Chung-Chih Liao, (2005), “Agent-based computational modeling of the stock price–volume relation,” Information Sciences, vol.170, pp.75-100.

Sias and Starks, (1997), “Return autocorrelation and institutional investors,” Journal of Financial Economics, vol.46, pp.103-131.



Silvapulle Param and Jong-Seo Choi, (1999), “Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation: Korean Evidence,” The Quarterly Review of Economics and Finance, vol.39, iss.1, pp.59-76.

Smirlock, M., and L.Starks, (1985), “A Further Examination of Stock Price Changes and Transactions Volume,” Jouranal of Financial Research, vol.8, pp.217-225.

Soo Lee-Bong and Oliver M Rui, (2002), “The Dynamic Relationship Between Stock Returns and Trading Volume: Domestic and Cross-Country Evidence,” Journal of Banking & Finance, vol.26, pp.51-78.

Stickel, Scott E; Verrecchia, Robert E, (1994), “Evidence that Trading Volume Sustains Stock Price Changes,” Financial Analysts Journal, vol.50, iss.6, pp.57-67.

Terasvirta and Timo, (1994), “Specification, Estimation, and Evaluation of Smooth Transition Autoregression Models,” Journal of American Statistical Association, vol.89, pp.208-218.

Terasvirta, T. and H. Anderson, (1992), “ Characterizing nonlinearities in business cycles using smooth transition autoregression models,” Journal of Applied Econometrics, vol.7, pp.119-136.

Tsay, R. S. (1989), Testing and Modeling Threshold Autoregressive Processes,” Journal of the American Statistical Assocation, vol.84, pp.231-240.

Wood, R. A., T. H. Mcinish and J. K. Ord, (1985), “An Investigation of Transactions Data for NYSE Stocks,” Journal of Finance, vol.60 pp.723-739.

Ying, Charles C., (1966), “Stock Market Prices and Volume of Sales,” Econometrica, vol.34, pp.676-685.
 
國內文獻
丁誌魰與曾富敏 (2005)，「以向量自我迴歸模式探討台灣股價、成交量、融資融券與法人進出之關聯性」,，真理財經學報，第13期，頁43~74。

王毓敏和黃瑞靜 (2001)，「價量關係-台股指數期貨市場之研究」，台灣金融財務季刊，第二輯第二期，頁97~114。

吳清豐(2006)，東亞各國家地區股市價量關係之研究，國立雲林科技大學管理研究所博士班博士論文。

姚蕙芸和梁志民 (2004)，「空頭走勢期間台股股價指數及相關因素之因果關係研究」，商管科技季刊，第五卷第二期，頁109~127。

陳仕偉 (2007)，「五個亞洲地區國家股票市場價量因果關係之再檢定」，金融風險管理季刊，第三卷第三期，頁81~110。

許和鈞和劉永欽 (1996)，「台灣地區股票市場價量之線性與非線性Granger因果關係之研究」，證券市場發展季刊，第8券第4期，頁23~49。

陳東明(1991)，台灣股票市場價量關係之實證研究，台灣大學商學研究所碩士論文。

游雅雯 (2005)，美股量價因果關係之探討-雙變量門檻向量自我回歸之實證分析，國立中正大學國際經濟研究所碩士論文。

劉映興與陳家彬 (2002)，「臺灣股票市場交易值、交易量與發行量加權股價指數關係之實證研究-光譜分析之應用」，農業經濟半年刊，第72期，頁65~87。

鄭育珊 (2006)，匯率與總體變數非線性平滑轉換誤差修正模型之實證分析，淡江大學財務金融學系碩士班碩士論文。

賴宏忠和劉曦敏 (1997)，「股價與成交量之長期均衡與因果關係-共整合分析法之應用」，經社法制論叢第19期，頁311~336。

聶建中和姚蕙芸 (2001)，「空頭走勢期間台灣股票市場成交量與股價之關聯性研究」，2001會計理論與實務研討會論文集。