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題名 A Kalman Filter Approach to Estimating the Premium of Taiwan Forward Exchange Rates
作者 賴錦明
貢獻者 沈中華
賴錦明
關鍵詞 遠期外匯
無本金遠期外匯
狀態空間模型
卡門過濾
Forward Exchange
NDF
State Space
Kalman filter
日期 2004
上傳時間 14-Sep-2009 13:32:25 (UTC+8)
摘要 在台灣,遠期外匯可分為有本金遠期外匯(DF)及無本金遠期外匯(NDF),其中無本金遠期外匯為銀行與客戶訂定之無標準化規格契約,
     其特色是在契約到期時,交易雙方僅就約定之匯率差額進行交割,不須交割本金。此特色也使得避險或是投機時較為節省資金成本,
     故NDF在台灣遠期外匯市場的交易量有逐漸增加的趨勢。
     
     然而在理性預期下,不論是DF或是NDF都應該是即期匯率的最佳預測值,即所謂的市場效率性。傳統統計方法通常用線性迴歸來檢定市場效率性,
     但卻常推估出互相衝突的結論。本文利用Kalman approach推估遠期外匯之貼水,希望藉此觀察出不同時間點,台灣遠期外匯市場的效率性。
     
     研究結果發現台灣遠期外匯之貼水在金融風暴之後呈現穩定,表示此時間內台灣外匯市場具有效率性。
     另外,在金融風暴之後NDF貼水之波動較DF而且為大,表示程度上NDF較不具效率性,可能跟NDF之投機性交易較多有關係。
     雖然如此,NDF市場之投機交易,並沒有使NDF之貼水波動達到無效率的地步,故建議央行可逐步放寬對NDF交易之限制,
     以促進市場交易之健全。
The forward exchange are divided into deliverable forward(DF) and non-deliverable forward(NDF) exchange in Taiwan .
     NDFs are foreign exchange derivative products traded over the counter.
     The parties of the NDF contract settle the transaction, not by delivering the underlying pair of currencies,
     but by making a net payment in a convertible currency proportional to the difference between the agreed forward exchange rate and
     the subsequently realised spot fixing.
     
     Under the rational expectation of foreign traders, not only DF exchange rate but also NDF will be the best predictor of the spot exchange.
     Tradional statistics methods use linear regressions to test whether the markets are efficiency or not.
     However, this study consider a Kalman approach to estimate the model and predict the spot exchange rate.
     
     The results can be found by observing the estimated premia: first, the premia show a certain degree of persistence after the Asian crisis.
     Second, the premium of NDF rate is more fluctuated than DF rates after the Asian crisis.
     It may present that the Non-deliverable forward exchange market in Taiwan has many speculative transactions.
     
     However, considering the process what we analyze the difference between the future spot rates and forward rates,
     it seems that the forward exchange markets in Taiwan have efficiency because of their persistence over time.
     Since the speculative transactions have no enough power to make the NDF markets inefficient,
     the Central Bank of Taiwan may suggest cancel the restrictions of NDF transactions.
參考文獻 Bilson, John F.O. (1981), “The ’speculative efficiency’ hypothesis”, Journal
of Business, 54, 435–451.
Clarida, Richard H. and Mark P. Taylor (1997), “The term structure of
forward exchange premiums and the forecastability of spot exchange rates:
correcting the error”, The Review of Economics and Statistics, LXXIX-3,
353–361.
Comell, Bradford (1977), “Spot rates, forward rates and exchange market
efficiency”, Journal of Financial Economics, 5, 55–65.
Engle, Robert F. and Clive W. Granger (1987), “Cointegration and error
correction: representation, estimation and testing”, Econometrica, 55,
251–276.
Fama, Eugene (1984), “Forward and spot exchange rates”, Journal of Money
Economics, 14, 319–338.
Granger, Clive W.J. and Paul Newbold (1974), “Spurious regressions in
econometrics”, Journal of Econometrics, 2, 111–120.
Gravelle, Toni and James C. Morley (2005), “A Kalman Filter Approach
to Characterizing the Canadian Term Structure of Interest Rates”, JEL
Classification:, E43.
Guonan Ma, Corrine Ho and Robert N McCauley (2004), “The markets for
non-deliverable forwards in Asian currencies”, Tech. rep., BIS Quarterly
Review.
Ho, Chung-Da and Chung-Hua Shen (1996), “Efficiency of Taiwan’s forward
BIBLIOGRAPHY
exchange market: evidence since market reopening in 1991”, Journal of
Financial Studies, 3-2, 63–85.
Iyer, S. (1997), “Time-Varying Term Premia and the Behaviour of Forward
Interest Rate Prediction Errors”, Journal of Financial Research, 20, 503–
507.
Kalman, Emil, Rudolph (1960), “A New Approach to Linear Filtering and
Prediction Problems”, Transactions of the ASME-Journal of Basic Engineering,
82(Series D), 35–45.
Levich, Richard (1979), “On the efficiency of markets for foreign exchange”,
International economic policy theory and evidence, 246–267.
Naka, Atsuyuki and Gerald Whitney (1995), “The unbiased forward rate
hypothesis re-examined”, Journal of International Money and Finance,
14, 857–867.
Norbbin, Stefan C. and Kevin L. Reffett (1996), “Exogeneity and forward
rate unbiasedness”, Journal of International Money and Finance, 15, 267–
274.
Park, Jinwoo (2001), “Information flows between non-deliverable forward(
NDF) and spot market: Evidence from Korean currency”, Pacific-
Basin Finance Journal, 9, 363–377.
Shen, Chung-Hua (1995), “Testing efficiency of forward exchange market-A
trivariate VAR model”, Journal of Financial Studies, 3-1, 21–47.
Shen, Chung-Hua and Yuan-Chen Chang (2002), “Modeling the Degree of
Currency Misalignment around the Asian Financial Crisis: Evidence from
Taiwan and Korea’s Non-delivery Forward Exchange Markets”, Taiwan
Academy of Management Journal, 2-2, 41–52.
Wolff, Christian C. P. (1987), “Forward Foreign Exchange Rates, Expected
Spot Rates, and Premia: A Signal-Extraction Approach”, The Journal of
Finance, 42(2), 395–406.
BIBLIOGRAPHY
Zivot, Eric (1998), “Cointegration and Forward and Spot Exchange Rate
Regressions”, Tech. rep., Department of Economics University of Washington.
描述 碩士
國立政治大學
經濟研究所
92258013
93
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0922580131
資料類型 thesis
dc.contributor.advisor 沈中華zh_TW
dc.contributor.author (Authors) 賴錦明zh_TW
dc.creator (作者) 賴錦明zh_TW
dc.date (日期) 2004en_US
dc.date.accessioned 14-Sep-2009 13:32:25 (UTC+8)-
dc.date.available 14-Sep-2009 13:32:25 (UTC+8)-
dc.date.issued (上傳時間) 14-Sep-2009 13:32:25 (UTC+8)-
dc.identifier (Other Identifiers) G0922580131en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32267-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 經濟研究所zh_TW
dc.description (描述) 92258013zh_TW
dc.description (描述) 93zh_TW
dc.description.abstract (摘要) 在台灣,遠期外匯可分為有本金遠期外匯(DF)及無本金遠期外匯(NDF),其中無本金遠期外匯為銀行與客戶訂定之無標準化規格契約,
     其特色是在契約到期時,交易雙方僅就約定之匯率差額進行交割,不須交割本金。此特色也使得避險或是投機時較為節省資金成本,
     故NDF在台灣遠期外匯市場的交易量有逐漸增加的趨勢。
     
     然而在理性預期下,不論是DF或是NDF都應該是即期匯率的最佳預測值,即所謂的市場效率性。傳統統計方法通常用線性迴歸來檢定市場效率性,
     但卻常推估出互相衝突的結論。本文利用Kalman approach推估遠期外匯之貼水,希望藉此觀察出不同時間點,台灣遠期外匯市場的效率性。
     
     研究結果發現台灣遠期外匯之貼水在金融風暴之後呈現穩定,表示此時間內台灣外匯市場具有效率性。
     另外,在金融風暴之後NDF貼水之波動較DF而且為大,表示程度上NDF較不具效率性,可能跟NDF之投機性交易較多有關係。
     雖然如此,NDF市場之投機交易,並沒有使NDF之貼水波動達到無效率的地步,故建議央行可逐步放寬對NDF交易之限制,
     以促進市場交易之健全。
zh_TW
dc.description.abstract (摘要) The forward exchange are divided into deliverable forward(DF) and non-deliverable forward(NDF) exchange in Taiwan .
     NDFs are foreign exchange derivative products traded over the counter.
     The parties of the NDF contract settle the transaction, not by delivering the underlying pair of currencies,
     but by making a net payment in a convertible currency proportional to the difference between the agreed forward exchange rate and
     the subsequently realised spot fixing.
     
     Under the rational expectation of foreign traders, not only DF exchange rate but also NDF will be the best predictor of the spot exchange.
     Tradional statistics methods use linear regressions to test whether the markets are efficiency or not.
     However, this study consider a Kalman approach to estimate the model and predict the spot exchange rate.
     
     The results can be found by observing the estimated premia: first, the premia show a certain degree of persistence after the Asian crisis.
     Second, the premium of NDF rate is more fluctuated than DF rates after the Asian crisis.
     It may present that the Non-deliverable forward exchange market in Taiwan has many speculative transactions.
     
     However, considering the process what we analyze the difference between the future spot rates and forward rates,
     it seems that the forward exchange markets in Taiwan have efficiency because of their persistence over time.
     Since the speculative transactions have no enough power to make the NDF markets inefficient,
     the Central Bank of Taiwan may suggest cancel the restrictions of NDF transactions.
en_US
dc.description.tableofcontents 1 Introduction 9
     1.1 Research Background . . . . . . . . . . . . . . . . . . . . . . 9
     1.2 Research Motivation . . . . . . . . . . . . . . . . . . . . . . . 9
     1.3 Research Objectives . . . . . . . . . . . . . . . . . . . . . . . 10
     2 Literature Review 12
     2.1 Market Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . 12
     2.2 Kalman Filter and Market Efficiency . . . . . . . . . . . . . . 13
     2.3 Non-Deliverable Forward (NDF) . . . . . . . . . . . . . . . . 14
     3 The Model 16
     3.1 Background-the Forward Rate Unbiasedness Hypothesis . . . 16
     3.2 State-Space Model and Kalman Filter . . . . . . . . . . . . . 17
     3.3 Identyfing Premium Model . . . . . . . . . . . . . . . . . . . 19
     4 Empirical Result 21
     4.1 Basic Statistics of ft,t+n − st+n . . . . . . . . . . . . . . . . . 21
     4.2 Model Specification for ft,t+n − st+n . . . . . . . . . . . . . . 23
     4.3 The Kalman Filter Approach . . . . . . . . . . . . . . . . . . 27
     5 Conclusions and Suggestions 30
     5.1 Research Conclusions . . . . . . . . . . . . . . . . . . . . . . . 30
     5.2 Research Limitations . . . . . . . . . . . . . . . . . . . . . . . 31
     5.3 Reserch Suggestion . . . . . . . . . . . . . . . . . . . . . . . . 31
     A Estimated Premia 34
     B CUSUM Test for Premia Constancy 38
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0922580131en_US
dc.subject (關鍵詞) 遠期外匯zh_TW
dc.subject (關鍵詞) 無本金遠期外匯zh_TW
dc.subject (關鍵詞) 狀態空間模型zh_TW
dc.subject (關鍵詞) 卡門過濾zh_TW
dc.subject (關鍵詞) Forward Exchangeen_US
dc.subject (關鍵詞) NDFen_US
dc.subject (關鍵詞) State Spaceen_US
dc.subject (關鍵詞) Kalman filteren_US
dc.title (題名) A Kalman Filter Approach to Estimating the Premium of Taiwan Forward Exchange Rateszh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Bilson, John F.O. (1981), “The ’speculative efficiency’ hypothesis”, Journalzh_TW
dc.relation.reference (參考文獻) of Business, 54, 435–451.zh_TW
dc.relation.reference (參考文獻) Clarida, Richard H. and Mark P. Taylor (1997), “The term structure ofzh_TW
dc.relation.reference (參考文獻) forward exchange premiums and the forecastability of spot exchange rates:zh_TW
dc.relation.reference (參考文獻) correcting the error”, The Review of Economics and Statistics, LXXIX-3,zh_TW
dc.relation.reference (參考文獻) 353–361.zh_TW
dc.relation.reference (參考文獻) Comell, Bradford (1977), “Spot rates, forward rates and exchange marketzh_TW
dc.relation.reference (參考文獻) efficiency”, Journal of Financial Economics, 5, 55–65.zh_TW
dc.relation.reference (參考文獻) Engle, Robert F. and Clive W. Granger (1987), “Cointegration and errorzh_TW
dc.relation.reference (參考文獻) correction: representation, estimation and testing”, Econometrica, 55,zh_TW
dc.relation.reference (參考文獻) 251–276.zh_TW
dc.relation.reference (參考文獻) Fama, Eugene (1984), “Forward and spot exchange rates”, Journal of Moneyzh_TW
dc.relation.reference (參考文獻) Economics, 14, 319–338.zh_TW
dc.relation.reference (參考文獻) Granger, Clive W.J. and Paul Newbold (1974), “Spurious regressions inzh_TW
dc.relation.reference (參考文獻) econometrics”, Journal of Econometrics, 2, 111–120.zh_TW
dc.relation.reference (參考文獻) Gravelle, Toni and James C. Morley (2005), “A Kalman Filter Approachzh_TW
dc.relation.reference (參考文獻) to Characterizing the Canadian Term Structure of Interest Rates”, JELzh_TW
dc.relation.reference (參考文獻) Classification:, E43.zh_TW
dc.relation.reference (參考文獻) Guonan Ma, Corrine Ho and Robert N McCauley (2004), “The markets forzh_TW
dc.relation.reference (參考文獻) non-deliverable forwards in Asian currencies”, Tech. rep., BIS Quarterlyzh_TW
dc.relation.reference (參考文獻) Review.zh_TW
dc.relation.reference (參考文獻) Ho, Chung-Da and Chung-Hua Shen (1996), “Efficiency of Taiwan’s forwardzh_TW
dc.relation.reference (參考文獻) BIBLIOGRAPHYzh_TW
dc.relation.reference (參考文獻) exchange market: evidence since market reopening in 1991”, Journal ofzh_TW
dc.relation.reference (參考文獻) Financial Studies, 3-2, 63–85.zh_TW
dc.relation.reference (參考文獻) Iyer, S. (1997), “Time-Varying Term Premia and the Behaviour of Forwardzh_TW
dc.relation.reference (參考文獻) Interest Rate Prediction Errors”, Journal of Financial Research, 20, 503–zh_TW
dc.relation.reference (參考文獻) 507.zh_TW
dc.relation.reference (參考文獻) Kalman, Emil, Rudolph (1960), “A New Approach to Linear Filtering andzh_TW
dc.relation.reference (參考文獻) Prediction Problems”, Transactions of the ASME-Journal of Basic Engineering,zh_TW
dc.relation.reference (參考文獻) 82(Series D), 35–45.zh_TW
dc.relation.reference (參考文獻) Levich, Richard (1979), “On the efficiency of markets for foreign exchange”,zh_TW
dc.relation.reference (參考文獻) International economic policy theory and evidence, 246–267.zh_TW
dc.relation.reference (參考文獻) Naka, Atsuyuki and Gerald Whitney (1995), “The unbiased forward ratezh_TW
dc.relation.reference (參考文獻) hypothesis re-examined”, Journal of International Money and Finance,zh_TW
dc.relation.reference (參考文獻) 14, 857–867.zh_TW
dc.relation.reference (參考文獻) Norbbin, Stefan C. and Kevin L. Reffett (1996), “Exogeneity and forwardzh_TW
dc.relation.reference (參考文獻) rate unbiasedness”, Journal of International Money and Finance, 15, 267–zh_TW
dc.relation.reference (參考文獻) 274.zh_TW
dc.relation.reference (參考文獻) Park, Jinwoo (2001), “Information flows between non-deliverable forward(zh_TW
dc.relation.reference (參考文獻) NDF) and spot market: Evidence from Korean currency”, Pacific-zh_TW
dc.relation.reference (參考文獻) Basin Finance Journal, 9, 363–377.zh_TW
dc.relation.reference (參考文獻) Shen, Chung-Hua (1995), “Testing efficiency of forward exchange market-Azh_TW
dc.relation.reference (參考文獻) trivariate VAR model”, Journal of Financial Studies, 3-1, 21–47.zh_TW
dc.relation.reference (參考文獻) Shen, Chung-Hua and Yuan-Chen Chang (2002), “Modeling the Degree ofzh_TW
dc.relation.reference (參考文獻) Currency Misalignment around the Asian Financial Crisis: Evidence fromzh_TW
dc.relation.reference (參考文獻) Taiwan and Korea’s Non-delivery Forward Exchange Markets”, Taiwanzh_TW
dc.relation.reference (參考文獻) Academy of Management Journal, 2-2, 41–52.zh_TW
dc.relation.reference (參考文獻) Wolff, Christian C. P. (1987), “Forward Foreign Exchange Rates, Expectedzh_TW
dc.relation.reference (參考文獻) Spot Rates, and Premia: A Signal-Extraction Approach”, The Journal ofzh_TW
dc.relation.reference (參考文獻) Finance, 42(2), 395–406.zh_TW
dc.relation.reference (參考文獻) BIBLIOGRAPHYzh_TW
dc.relation.reference (參考文獻) Zivot, Eric (1998), “Cointegration and Forward and Spot Exchange Ratezh_TW
dc.relation.reference (參考文獻) Regressions”, Tech. rep., Department of Economics University of Washington.zh_TW