本文旨在於探討Ohlson(1995)所提出之股權評價模型對於台灣股市之適用性,然而股票市場通常是不完全的,有摩擦性以及資訊不對稱等等,且在大多為風險趨避者的投資者市場中,為了誘發投資,必須予以風險溢酬加以補償,而風險溢酬亦可視為投資者的套利獲利,套利行為的產生亦代表著股價有著偏離均衡的非線性變動,估計參數將不會是一個固定常數值,因此本文在保有原始Ohlson模型以帳面價值及異常盈餘評估股價的精神之下,利用McMillan(2001)發展的外生平滑轉換自我迴歸(STARX)模型建構一非線性Ohlson股權評價模型以衡量變數與股價之間是否存在一非線性調整;並將非線性部份之移轉函數視為風險溢酬,作為Ohlson(1995)對於非會計資訊變數未明確定義之替代。 由實證結果發現大部分股價模型皆為Logistic-STARX型態,加入非線性部分後所有模型之解釋能力皆顯著提高,且非線性模型之預測能力亦顯著優於線性模型,表示非線性模型相較於線性模型預測未來股價有較佳之評估績效;此外,由非線性模型的調整過程,亦可憑藉著帳面價值與異常盈餘的落後項,建構出一股價之套利區間。
This thesis modifies the original Ohlson equity evaluation model (OM) to evaluate stock price, risk premium and arbitrage region by considering the problem of incomplete stock market and risk-averse investor’s arbitrage behavior. The original Ohlson model assumes stock market is complete and investors are risk-nature. In fact, stock markets are always incomplete and almost all investors are risk-averse; therefore, in investing stock market investors face some risks and risk premium is the incentives to attract them to engage in investment. This implies that original Ohlson model need to be a nonlinear form. Based on this consideration, we modify the original Ohlson model by utilizing the concepts of smooth transition and arbitrage underlain in the STARX model to construct a nonlinear Ohlson evaluation model (NLOM). The nonlinear part in the NLOM could be an appropriate proxy variable for the other information in OM, and regarded as a risk premium to compensate for the possibility the investors face. Moreover, from the NLOM investors can set up arbitrage region. Empirical results show that most of the sample stock prices display smooth transition within different regimes and reveal a Logistic-STARX type; the NLOM we construct has significantly better goodness-of-fit and forecasting performance then OM. Most importantly, investors can easily employ the lagged book value, abnormal earning and stock price to find out arbitrage regions.