本論文是在Kroner and Ng(1998)所發展的不對稱動態共變異模型(Asymmetric Dynamic Covariance；ADC)建構的波動不對稱條件共變異數矩陣之架構下，研究資產配置與風險控管二大議題。
就資產配置意涵此議題的探討，本文是以結合異質交易者(理性交易者以及正向回饋交易者)與二因子ICAPM (Merton,1973)所發展的模型－擴展Sentana & Wadhwani模型，實證研究台灣外匯市場與股票市場的報酬動態。並利用ADC建構外匯市場與股票市場的條件二階動差。實證結果顯示(一)台灣市場外匯報酬的變動除了受自身條件變異數的影響外，亦會受跨市場條件共變異數的影響，該結果顯示股票是外匯市場的良好避險工具；就股票市場而言，條件市場波動為股票市場風險溢酬的風險因子，但不包含跨市場的條件共變異數，該結果顯示外匯並非是股票市場的良好避險工具。(二)正向回饋交易的確影響外匯市場與股票市場的短期報酬動態，而正向回饋交易者的存在也使得報酬呈現負向序列自我相關，且波動愈大時，理性投資者需要更多的風險溢酬以吸引其進場修正錯價，進而造成外匯報酬的負向序列自我相關程度愈高。(三)跨市場條件共變異數會影響外匯市場與股票市場報酬的序列相關，且其影響決定於共變異數的正負，當共變異數為負時，正向回饋交易會產生正向自我相關，當共變異數為正時，則產生負向自我相關。(四)ADC及ABEKK模型可適切的捕捉外匯市場與股票市場報酬的條件二階動差過程。(五)一般化模型(擴展Sentana & Wadhwani模型)對三個縮減式模型(一因子ICAPM、二因子ICAPM與原始Sentana & Wadhwani(1992))的設定檢定結果顯示，相對於傳統的資本資產定價模型，結合跨市場風險溢酬與正向回饋交易的擴展Sentana & Wadhwani模型更能解釋外匯市場與股票市場報酬的動態行為。
就風險控管意涵此議題的探討，本文則利用ADC建模與估計正面或負面消息對台指期、現貨條件共變異數矩陣衝擊的不對稱效果，並同時考慮期、現貨長期均衡關係，以探討台指期貨與現貨間報酬的動態關聯性及其對用期貨的靜、動態避險績效的影響。實證結果顯示(一)期貨價格與現貨價格二序列均存在共整合關係，亦即期貨與現貨價格之間有一長期穩定的均衡關係。而且期貨價格領先現貨價格。(二)台指期、現貨兩市場間的條件共變異數矩陣的確存在波動不對稱效果。(三)條件共變異數矩陣加入不對稱效果的動態避險績效優於對稱模型下的避險績效。(四)在考慮避險成本情況下，加入不對稱效果的動態避險績效反而較靜態避險績效差。

The work presented in this dissertation can be grouped around two major themes. The first theme relates to the asset allocation and the second theme relates to risk management.
In Chapter Three, we investigate the dynamics of foreign exchange and stock returns based on an extended version of Sentana and Wadhwani (1992) model. This study is mainly driven by the wish to explain two major stylized facts that puzzled the older models. We find evidence to support that only intertemporal variation in the foreign exchange risk premium can be explained by time–varying covariance priced risk factors. Furthermore, we also find that the first order autocorrelation of both foreign exchange and stock market returns in Taiwan is negatively related to the level of conditional volatility and covariance. This time-varying nature of the serial correlation pattern is consistent with our model where some traders follow feedback strategies. The three nested asset pricing models with four models of conditional second moments are strongly rejected. We conclude that our extended Sentana and Wadhwani model is more adequate in explaining the dynamics of foreign exchange and stock markets.
In Chapter Four, we investigate the risk management of futures market and spot market returns. There is widespread evidence that the volatility of stock returns display an asymmetric response to good and bad news. This paper attempted and found the asymmetric behavior co-existence in spot as well as future markets. By using the Asymmetric Dynamic Model (ADC) proposed by Kroner and Ng (1998), we estimated the conditional covariance matrix asymmetric and calculated dynamic optimal hedge ratios. With the help of that asymmetric model, our “out of sample” dynamic hedging strategy out-performed that of normally dynamic hedging strategies. However, while taking the transaction costs into consideration, the performance was even worse than that of the static strategy.

第一章、緒論
第一節　研究動 機…………………………………1
第二節　研究目的………………………………… 7
第三節　研究架構………………………………… 8
第二章、不對稱條件共變異數矩陣
第一節　文獻探討………………………………… 10
第二節　多變量GARCH模型……….…………… 13
第三節　多變量波動不對稱GARCH模型……… 19
第三章、不對稱條件共變異數矩陣對資產配置的意涵
第一節　前言……………………………………… 24
第二節　擴展Sentana &Wadhwai模型……… 27
第三節　計量模型設定…………………………… 31
第四節　資料與初步分析………………………… 34
第五節　實證結果.…………………………… 42
第六節　結論.…………………………………… 49
第四章、不對稱條件共變異數矩陣對風險控管的意涵
第一節　前言……………………………………… 51
第二節　理論基礎……………………………… 53
第三節　實證方法………………………………… 54
第四節　避險效果評估法則……………………… 57
第五節　資料與初步分析………………………… 59
第六節　實證結果………………………………… 66
第七節　結論…………….……………………… 78
第五章、總結 80
參考文獻 82

王甡(民國84)，「報酬衝擊對條件波動所造成之不對稱效果－台灣股票市場之實證分析」，證券市場發展季刊，第七卷第四期，頁125-160。
李宏志、林楚雄、莊嘉文(民國88)，「S&P500股價指數期貨與現貨在價格變動率暨波動性之動態研究」，亞太金融中心研討會－建立亞洲財金融危機防範機制強化地區經濟體質研討會，頁227-244。
林楚雄、劉維琪、吳欽杉(民國86)，「台灣股票市場報酬的期望值與條件波動之關係」，交大管理學報，第三卷第十七期，頁103-124。
莊忠柱(民國89)，「股價指數貨期與現貨的波動性外溢：台灣的經驗」，證券市場發展季刊，第十二卷第一期，頁111-138。
莊忠柱(民國90)，「現貨、近月期與近季期股價指數期貨市場間價格與價格波動性的資訊傳遞：台灣的早期經驗」，管理學報，第十八卷第二期，頁311-332。
劉曦敏、葛豐瑞(民國85)，「臺灣股價指數報酬率之線性及非線性變動」，經濟研究，第三十四卷，頁73-109。
Adler, M. and B. Dumas, (1983), “International Portfolio Choice and Corporation Finance: A synthesis,” Journal of Finance 38, 925–984.
Baba, Y., R. Engle, D. Kraft, and K.F. Kroner (1989), “Multivariate Simultaneous Generalized ARCH,” Discussion Paper 89-57, University of California, San Diego.
Baillie, R.T. and R.J. Myers (1991), “Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge, “ Journal of Applied Econometrics, 6, 109-124.

Bekaert, G.. and G.. Wu (2000), “Asymmetric Volatility and Risk in Equity Markets,” The Review of Financial Studies, 13, 1-42.
Black, F. (1976), “Studies of Stock Price Volatility Changes,” Proceedings of the 1976 Meetings of the American Statistical Association, Business and Economical Statistics, 72, 498-505.
Bollerslev, T. (1986), “Generalized Autoregressive Conditional Heteroskedasticity,” Journal of Econometrics, 31, 307-327.
Bollerslev, T. (1987), “A Conditional Heteroskedastic Time Series Model for Speculative Prices and Rated of Return,” Review of Economics and Statistics, 69, 542-547.
Bollerslev, T. (1990), “Modeling the Coherence in Short-Run Nominal Exchange Rates: A Multivariate Generalized ARCH Model,” Review of Economics and Statistics, 72, 498-505.
Bollerslev, T. R. Engle and Nelson. (1994), “ARCH Models,” in Engle, R. and D. McFadden, editors, Handbook of Econometrics. 4. Chapter 49. Elsevier Science B.V., Amsterdam, the Netherlands.
Bollerslev, T., Engle, R. F. and J. M. Wooldridge (1988), “A Capital Asset Pricing Model with Time-Varying Covariances,” Econometrica, 96, 116-131.
Bollerslev, T. and J. M. Wooldridge (1992), “Quasi-Maximum Likelihood Estimation and Inference on Dynamic Model with Time-Varying Co-variances,” Econometric Review, 11, 143-172.
Branson, William, (1983), “Macroeconomic Determinants of Real Exchange Rate Risks,” in R.J. Herring, ed., Managing Foreign Exchange Risk. Cambridge, U.K.: Cambridge University Press.
Brenner, R., Kroner, K., (1995), “Arbitrage, Cointegration, and Testing the Unbiasedness Hypothesis in Financial Markets,” Journal of Financial and Quantitative Analysis 30, 23-42.
Brooks, C., Henry, O. T. and G.. Persand (2002), “The Effect of Asymmetries on Optimal Hedge Ratios,” Journal of Business, 75, 333-352.
Campbell, J. and L. Hentschell (1992), “No News is Good News: An Asymmetric Models of Changing Volatility in Stock Returns,“ Journal of Financial Economics, 31, 281-318.
Cecchetti, S., Cumby, R. and S. Figlewski (1988), “Estimation of the Optimal Futures Hedge,” Review of Economics and Statistics, 70, 623-630.
Chan, K. (1992), “A Further Analysis of the Lead-Lag Relationship Between the Cash Market and Stock Index Futures Markets,” Review of Financial Studies, 5, 123-152.
Cheung, Y., and M., Chinn, (2001), “Currency Traders and Exchange Rate Dynamics: A Survey of the U.S. Market”, Journal of International Money and Finance 20, pp. 439-471.
Connolly, R., and Stivers, C. (1999), “Conditional Return Autocorrelation and Price Formation:Evidence from Six Major Equity Markets,” Working Paper, University of Georgia and theUniversity of North Carolina at Chapel Hill.
Christie, A. A. (1982), “The Stochastic Behavior of Common Stock Variances Value, Leverage and Interest rate Effects,“ Journal of Financial Economics, 23, 407-432.
Cutler, D.M., J.M., Poterba, and L.H., Summers, (1989), “Speculative Dynamics and the Role of Feedback Traders”, American Economic Review 80, pp. 63 68.
Dickey, D.A. and W.A. Fuller (1979), “Distribution of the Estimators for Autoregressive Time Series with a Unit Root,” Journal of the American Statistical Association, 74, 427-431.
Ederington, L. H. (1979), “The Hedging Performance of the New Futures Markets,” Journal of Finance, 24, 157-170.
Engle, R. F. (1982), “Autoregressive Condtional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation,” Econometrica, 50, 987-1007.
Engle, R. F. (1990), “Discussion: Stock Market Volatility and the Crash of 87,” Journal of Financial Studies, 48, 103-106.
Engle, R. F. and V. K. Ng (1993), “Measuring and Testing the Impact of News on Volatility,” Journal of Finance, 48, 1749-1778.
Engle, R. F. and K. F. Kroner (1995), “Multivariate Simultaneous Generalized ARCH,” Econometric Theory, 11, 122-150.
Engle, R. F. and C. Granger (1987), “Co-Integration and Error Correction: Representation Estimation and Testing,” Econometrica, 55, 251-276.
Evans, M., and C., Lyons, (2002), “Order Flow and Exchange Rate Dynamics”, Journal of Political Economy 110, pp. 170-180.
Flood, R. P., and A. K., Rose, (1995), “Fixing Exchange Rates: A Virtual Quest for Fundamentals”, Journal of Monetary Economics 36, pp. 3-37.
Fornari, F. and A. Mele (1997), “Sign-and Volatility-Switching ARCH Models: Theory and Applications to International Stock Markets,” Journal of Applied Econometrics, 12, 49-65.

Franlel, J. A. (1983), “Monetary and Portfolio Balance Models of Exchange Rate Determination,” In J. Bhandari and B. Putnam (eds.) Economic Interdependence and Flexible Exchange Rates, Cambridge, MIT Press
French, K. R., G. W. Schwert and R. F. Stambaugh (1987), “Expected Stock Returns and Volatility,“ Journal of Financial Economics, 19, 3-29.
Gagnon, L., and G.. Lypn (1995), “Hedging Short-Term Interest Risk under Time- Varying Distribution,” The Journal of Futures Markets, 15, 767-783.
Ghosh, A. (1993a), “Hedging with Stock Index Futures: Estimation and Forecasting with Error Correction Model,” The Journal of Futures Markets, 13(7), 743-752.
Ghosh, A. (1993b), “Cointegration and Error Correction Models: Intertemporal Causality between Index and Futures Prices,” The Journal of Futures Markets, 13(2), 193-198.
Glosten, L., R. Jagannathan and D. Runkle (1993), “Relationship Between the Expected Value and the Volatility of the Nominal Excess Return on Stocks,” Journal of Finance, 48, 1779-1801.
Granger, C.W.J. and P. Newbold, (1974), “Spurious Regressions in Economics,” Journal of Econometrics 4, 111-120
Grubel, H.G., (1968), “Internationally Diversified Portfolios: Welfare Gains and Capital Flows,” American Economic Review, 58, 1299-1314.
Hau, H., and H., Rey, (2004), “Can Portfolio Rebalancing Explain the Dynamics of Equity Returns, Equity Flows, and Exchange Rates”, American Economic Review 94, pp. 126-133
Hentschel, L. (1995), “All in the Family Nesting Symmetric and Asymmetric GARCH Model,” Journal of Financial Economics, 39, 71-104.
Hill, Joanne and Thomas Schneeweis (1981) "A Note on the Hedging Effectiveness of Foreign Currency Futures," Journal of Futures Markets, Winter 1981, Vol. 1 No. 1, pp. 659-664.
Hill, Joanne and Thomas Schneeweis (1982), "The Hedging Effectiveness of Foreign Currency Futures", Journal of Financial Research, Spring 1982, Vol. 5 No. 1, pp.95-104.
Johansen, S. and K. Juselius (1990), “Maximum Likelihood Estimation and Inference on Cointegration with Application to the Demand for Money,” Oxford Bulletin of Economics and Statistics , 52, 169-209.
Kawaller, I. G., Koch, P. D. and T. W. Koch (1987), “The Temporal Price Relationship Between S&P 500 Futures and the S&P 500 Index,” Journal of Finance, 42, 1309-1329.
Kim, D. and S. J. Kon (1994), “Alternative Models for the Conditional Heteroscedasticity of Stock Returns,” The Journal of Business, 67, 563-536.
Koutmos, G., (1997), “Feedback Trading and the Autocorrelation Pattern of Stock Returns: Further Empirical Evidence”, Journal of International Money and Finance 16, pp. 625-636.
Kroner, K.F. and V. K. Ng (1998), “Modeling Asymmetric Co-Movements of Assets Returns,” Review of Financial Studies, 11, 817-844.
Kroner, K.F. and J. Sultan(1993), “Time-Varying Distributions and Dynamic Hedging with Foreign Currency Futures,” Journal of Financial and Quantitative Analysis, 28, 535-551.
Laopodis, N. T., (2005), “Feedback Trading and Autocorrelation Interactions in the Foreign Exchange Market: Further Evidence”, Economic Modelling. 22, pp.811-827
Levy, H and M. Sarnat. (1970), “International Diversification of Investment Portfolios,” American Economic Review, 50, 668-675.
Lien, D. D. (1996), “The Effect of the Cointegrating Relationship on Futures Hedging: A Note,” The Journal of Futures Markets, 16(7), 773-780.
Lien, D. D. and X. Luo (1994), “Multi-Period Hedging in the Presence of Conditional Heteroscedasticity,” Journal of Futures Markets, 14(8), 927-955.
Lukac, L.P., B.W., Brorsen, and S.H., Irwin, (1988), “The Similarity of Computer Guided Technical Trading Systems”, Journal of Futures Markets 8, pp. 1-13.
Mandelbrot, B. (1963), “The Variation of Certain Speculative Prices,” Journal of Business 36, 394-419.
Markowitz, Harry. (1952), “Portfolio Selection,” Journal of Finance, 7,77-91.
Meese, R., and K., Rogoff, (1983), “Empirical Exchange Rate Models of the Seventies. Do They Fit Out of Sample”, Journal of International Economics 14, pp. 3-24
Meneu, V. and H. Torro (2003), “Asymmetric Covariance in Spot-Futures Markets,” Journal of Futures Markets, 23, 1019-1046.
Merton, R., (1973), “The Sociology of Science: Theoretical and Empirical Investigations”, Chicago, University of Chicago Press
Merton, R.C. (1980), “On Estimating the Expected Return on the Market: an Exploratory Investigation”, Journal of Financial Economics 8, 323-361.
Mussa, M., (1986), “Nominal Exchange Rate Regimes and the Behavior of Real Exchange Rates: Evidence and Implications”, Carnegie-Rochester Series on Public Policy, pp. 117-214

Myers, R. J. (1991), “Estimating Time-Varying Optimal Hedge Ratios on Futures Markets,” Journal of Futures Markets, 11, 139-153.
Myers, R. J. and S. R. Thompson (1989), “Generalized Optimal Hedge Ratio Estimation,” American Journal of Agricultural Economics, 858-867.
Nelson, D. (1991), “Conditional Heteroscedasticity in Asset Returns: A new Approach,” Econometrica, 59, 347-370.
Newy, W. K. and D. K. West (1987), “A Simple, Positive Semi-Definite Heteroskedasticity and Autocorrelation Consistent Matrix”, Econometrica, 55, 703-708.
Orosel, R., (1998), “Participation Costs, Trend Chasing, and Volatility of Stock Prices”, Review of Financial Studies 58, pp. 1791-1820
Park, T. H. and L. N. Switzer (1995), “Time-Varying Distribution and the Optimal Hedge Ratios for Stock Index Futures,” Applied Financial Economics, 5, 131-137.
Pavlova, A., and R., Rigobon, (2007), “Asset Prices and Exchange Rates”, Review of Financial Studies 20, pp. 1139-1181.
Roll, R., (1988), ” ”, Journal of Finance 43, pp. 541-566.
Poomimars, P., Cadle, J. and M. Theobald (2003), “Futures Hedging Using Dynamic Models of the Variance/Covariance Structure,” Journal of Futures Markets, 23, 241-260.
Ross, S. A. (1989), “Information and volatility: The no-arbitrage martingale approach to timing and resolution irrelevancy ,” Journal of Finance, 44, 1-17.
Said, Said E., & David A. Dickey (1984), “Testing for Unit Roots in Autoregressive-moving Average Models of Unknown Rrder,” Biometrika, 71, 599–607.
Schwert, G. W. (1989), ”Why Dose Stock Market Volatility Change Over Time?” Journal of Finance, 44, 1115-1153.
Sentana, E., and S., Wadhwani, (1992), “Feedback Traders and Stock Return Autocorrelations: Evidence from A Century of Daily Data”, Economic Journal 102, pp. 415-425.
Sharpe, W., (1964), “Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk”, Journal of Finance 19, pp. 425-442.
Shiller, R., (1981), “The Use of Volatility Measures in Assessing Market Efficiency”, Journal of Finance 36, pp. 291-304.
Solnik, B., (1983), “International Arbitrage Pricing Theory,” Journal of Finance 38, 500-524.
Taylor, M.P., and H., Allen, (1992), “The Use of Technical Analysis in the Foreign Exchange market”, Journal of International Money and Finance 11, pp. 304–314.
Yu, C. H., and Wu, C. (2001), “Economic Sources of Asymmetric Cross-Correlation among Stock Returns,” International Review of Economics and Finance, 10, 19-40.