There are much economic and financial data which are restricted by some bounds, such as expenditure shares, unemployment, norminal interest rate, or target zone exchange rate. How to interpret and analyze time series whose behaviors can be well approximated by means of integrated processes, I(1), but are ¡§limited¡¨ in the sense that their range is constrained by fixed bounded is what this thesis develops. One method to analyze bounded variable of this paper is ¡§The Bounded Unit Root¡¨ which provided by Cavaliere (2005), and the other is using Gibbs sampling simulation and trying to recover the part of hidden variables. We would examin some empirical problems that has often been tackled in the literature and we give three time series which include Danish kron/Deutshe mark, Belgium Franc/ Deutshe mark, and Japan 1 mouth interbank interest rate for examples. We conclude that these three time series data are I(0) in classical unit root test framework, but are all I(1) in The Bounded Unit Root test framework. And the results of Gibbs sampling simulation are that Danish kron/Deutshe mark and Belgium Franc/ Deutshe mark are I(0), but Japan 1 mouth interbank interest rate is I(1).

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自從Krugman於1991年提出「目標區與匯率動態」﹙Target Zones and Exchange Rate Dynamics﹚一文，將隨機微分方程的數學技巧，應用於匯率目標區政策的研究之後，匯率目標區的研究便成為國際金融領域的新寵。其最重要的概念就是透過目標區的宣告，可使匯率之波動較為和緩，也就是所謂的「蜜月效果」；而蜜月效果的存在與否，則取決於民眾對於匯率走勢的預期看法，此看法又決定於民眾對目標區政策的信賴程度。 一般既有的文獻，皆假設民眾對於貨幣當局所宣示的目標區政策皆為確定情況，然而匯率目標區政策在貨幣當局考量現實情況下，也會與其他政策相同，存在不確定性的情形。本文主要討論當貨幣當局施行目標區政策存在各種不確定性（如：邊界干預措施、邊界水準值，等…）時，政策之效果；且若民眾對政策之不確定性的猜測行為並非一成不變之下，會隨現實情況調整時，目標區政策之效果有何不同。 而藉由數學模型的推導以及利用數值模擬的方式，可以得知不確定狀況下之匯率目標區政策，在部份的情況下仍具有蜜月效果，但相較於確定情況下之目標區政策，其蜜月效果皆是較小的。此外若民眾可以利用市場資訊，如：市場基要值之變化，作為猜測貨幣當局行為的依據，且民眾的猜測行為若是正確的，則是具有幫助匯率穩定的效果。