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題名 回顧型選擇權的評價與分析--間斷時間模型
An Efficient Procedure for Valuing Lookback Options--Discrete Time Model
作者 黃育智
貢獻者 陳威光<br>江彌修
黃育智
關鍵詞 回顧型選擇權
間斷時間模型
Hull and White
日期 2002
上傳時間 18-Sep-2009 19:20:12 (UTC+8)
摘要 本篇論文比較了現有評價回顧型選擇權的眾多模型,結果發現Babbs[2000]在評價浮動履約價回顧型選擇權有較佳的效果。然而,在實務上,許多回顧型選擇權契約的訂定都是依照每日、每週、或是每禮拜的收盤價作為回顧的觀察時點,並非連續的觀察時點。因此,我們修正了Babbs[2000]的方法去評價美式與歐式間斷觀察時間點的回顧型選擇權價值。結果發現,回顧型賣權在連續時間下的價值比間斷時間下的價值高出許多。這意謂著,假使我們用連續時間的模型去評價間斷時間條款的回顧型選擇權,將造成相當大的誤差。因此,確實有發展間斷時間下評價回顧型選擇權方法的必要,而本篇論文所提出的方法在評價的結果上也令人滿意。
This paper presents an efficient procedure for valuing floating strike lookback options in continuous-time. In practice, however, most contracts are based on the extrema of prices sampled at a finite set of fixed dates. We modify the method of Babbs [2000] to value finite sampling European and American lookback options in discrete-time. At the same time, we investigate the difference in option values between continuous and finite sampling. We find that the problem of overvaluing is more serious in valuing finite sampling lookback puts by continuous-time model. In addition, we derive a numerical method to value partial lookback options which incorporate the cost-reduction feature in the premium of lookback options.
參考文獻 1. 朱立信,”路徑相依選擇權快速評價模型與避險之研究”,中央大學企業管理
研究所碩士論文,民國86年6月。
2. 陳松男,「金融工程學」,華泰文化事業股份有限公司,2002年1月。
3. 陳威光,「選擇權—理論、實務與應用」,智勝,2001年。
4. 鄒勁松,”路徑相依型選擇權的評價、避險與應用”,台灣大學財務金融研究
所碩士論文,民國90年6月。
5. Babbs, S., “Binomial Valuation of Lookback Options,” Journal of Economic
Dynamics & Control, 24 (2000), pp. 1499-1525.
6. Borovkov, K. and A. Novikov, “On A New Approach to Calculating Expectations
for Option Pricing,” Journal of Applied Probability, 39 (Dec. 2002), pp.889-895.
7. Cheuk, T. H., and T. C. F. Vorst, “Currency Lookback Options and Observation
Frequency: A Binomial Approach,” Journal of International Money and Finance,
16 (1997), pp. 173-187.
8. Conze, A., and Viswanathan, “Path Dependent Options: The Case of Lookback
Options,” The Journal of Finance, 46 (Dec. 1991), pp.1893-1907.
9. Goldman, M. B., H. B. Sosin, and M. A. Gatto, “Path-Dependent Option: Buy at
the Low, Sell at the High,” Journal of Finance, 34 (1979), pp.1111-1127.
10. Hull, J., and A. White, “Efficient Procedure for Valuing European and American
Path-Dependent Options,” The Journal of Derivatives, (Fall 1991), pp. 21-31.
11. Hull, J., and A. White, “The Use of the Control Variate Technique in Option
Pricing,” Journal of Financial and Quantitative Analysis, 23 (Sep. 1988), pp. 237-251.
12. Neave, E., H., and S. Slavisky, “A Frequency Distribution Approach to Valuing
Maximum Options,” The Journal of Derivatives, (Spring 2001), pp. 52-62.
13. Neave, E. H., “A Frequency Distribution Approach for Valuing Average Options,”
Astin Bulletin, 27 (Nov. 1997), pp. 173-205.
描述 碩士
國立政治大學
金融研究所
90352005
91
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0090352005
資料類型 thesis
dc.contributor.advisor 陳威光<br>江彌修zh_TW
dc.contributor.author (Authors) 黃育智zh_TW
dc.creator (作者) 黃育智zh_TW
dc.date (日期) 2002en_US
dc.date.accessioned 18-Sep-2009 19:20:12 (UTC+8)-
dc.date.available 18-Sep-2009 19:20:12 (UTC+8)-
dc.date.issued (上傳時間) 18-Sep-2009 19:20:12 (UTC+8)-
dc.identifier (Other Identifiers) G0090352005en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/36705-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融研究所zh_TW
dc.description (描述) 90352005zh_TW
dc.description (描述) 91zh_TW
dc.description.abstract (摘要) 本篇論文比較了現有評價回顧型選擇權的眾多模型,結果發現Babbs[2000]在評價浮動履約價回顧型選擇權有較佳的效果。然而,在實務上,許多回顧型選擇權契約的訂定都是依照每日、每週、或是每禮拜的收盤價作為回顧的觀察時點,並非連續的觀察時點。因此,我們修正了Babbs[2000]的方法去評價美式與歐式間斷觀察時間點的回顧型選擇權價值。結果發現,回顧型賣權在連續時間下的價值比間斷時間下的價值高出許多。這意謂著,假使我們用連續時間的模型去評價間斷時間條款的回顧型選擇權,將造成相當大的誤差。因此,確實有發展間斷時間下評價回顧型選擇權方法的必要,而本篇論文所提出的方法在評價的結果上也令人滿意。zh_TW
dc.description.abstract (摘要) This paper presents an efficient procedure for valuing floating strike lookback options in continuous-time. In practice, however, most contracts are based on the extrema of prices sampled at a finite set of fixed dates. We modify the method of Babbs [2000] to value finite sampling European and American lookback options in discrete-time. At the same time, we investigate the difference in option values between continuous and finite sampling. We find that the problem of overvaluing is more serious in valuing finite sampling lookback puts by continuous-time model. In addition, we derive a numerical method to value partial lookback options which incorporate the cost-reduction feature in the premium of lookback options.en_US
dc.description.tableofcontents I. Introduction 2
     II. A Procedure for Valuing Continuous-time Lookback Options 4
     i. Basic assumption and the change of numeraire 4
     ii. The binomial approximation scheme for M 6
     iii. European and American floating strike lookback calls 7
     III. Numerical results 9
     i. European floating strike lookback options 9
     ii. American floating strike lookback options 12
     IV. A Procedure for Valuing Discrete-time Lookback Options 12
     i. Basic assumption 13
     ii. The binomial approximation scheme for 13
     iii. Numerical results 16
     iv. The binomial approximation scheme for 18
     v. Numerical results 20
     vi. The binomial approximation scheme for 21
     vii. Numerical results 24
     V. Difference Between Continuous and Daily Sampling Lookback Options 25
     i. European floating strike lookback calls 26
     ii. European floating strike lookback puts 30
     VI. Modified Model for Valuing Partial Lookback Options 35
     VII. Conclusion 37
     Appendix
     i. The closed form of (partial) lookback option 39
     ii. Proof for American lookback call is equal to European lookback call 40
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090352005en_US
dc.subject (關鍵詞) 回顧型選擇權zh_TW
dc.subject (關鍵詞) 間斷時間模型zh_TW
dc.subject (關鍵詞) Hull and Whiteen_US
dc.title (題名) 回顧型選擇權的評價與分析--間斷時間模型zh_TW
dc.title (題名) An Efficient Procedure for Valuing Lookback Options--Discrete Time Modelen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1. 朱立信,”路徑相依選擇權快速評價模型與避險之研究”,中央大學企業管理zh_TW
dc.relation.reference (參考文獻) 研究所碩士論文,民國86年6月。zh_TW
dc.relation.reference (參考文獻) 2. 陳松男,「金融工程學」,華泰文化事業股份有限公司,2002年1月。zh_TW
dc.relation.reference (參考文獻) 3. 陳威光,「選擇權—理論、實務與應用」,智勝,2001年。zh_TW
dc.relation.reference (參考文獻) 4. 鄒勁松,”路徑相依型選擇權的評價、避險與應用”,台灣大學財務金融研究zh_TW
dc.relation.reference (參考文獻) 所碩士論文,民國90年6月。zh_TW
dc.relation.reference (參考文獻) 5. Babbs, S., “Binomial Valuation of Lookback Options,” Journal of Economiczh_TW
dc.relation.reference (參考文獻) Dynamics & Control, 24 (2000), pp. 1499-1525.zh_TW
dc.relation.reference (參考文獻) 6. Borovkov, K. and A. Novikov, “On A New Approach to Calculating Expectationszh_TW
dc.relation.reference (參考文獻) for Option Pricing,” Journal of Applied Probability, 39 (Dec. 2002), pp.889-895.zh_TW
dc.relation.reference (參考文獻) 7. Cheuk, T. H., and T. C. F. Vorst, “Currency Lookback Options and Observationzh_TW
dc.relation.reference (參考文獻) Frequency: A Binomial Approach,” Journal of International Money and Finance,zh_TW
dc.relation.reference (參考文獻) 16 (1997), pp. 173-187.zh_TW
dc.relation.reference (參考文獻) 8. Conze, A., and Viswanathan, “Path Dependent Options: The Case of Lookbackzh_TW
dc.relation.reference (參考文獻) Options,” The Journal of Finance, 46 (Dec. 1991), pp.1893-1907.zh_TW
dc.relation.reference (參考文獻) 9. Goldman, M. B., H. B. Sosin, and M. A. Gatto, “Path-Dependent Option: Buy atzh_TW
dc.relation.reference (參考文獻) the Low, Sell at the High,” Journal of Finance, 34 (1979), pp.1111-1127.zh_TW
dc.relation.reference (參考文獻) 10. Hull, J., and A. White, “Efficient Procedure for Valuing European and Americanzh_TW
dc.relation.reference (參考文獻) Path-Dependent Options,” The Journal of Derivatives, (Fall 1991), pp. 21-31.zh_TW
dc.relation.reference (參考文獻) 11. Hull, J., and A. White, “The Use of the Control Variate Technique in Optionzh_TW
dc.relation.reference (參考文獻) Pricing,” Journal of Financial and Quantitative Analysis, 23 (Sep. 1988), pp. 237-251.zh_TW
dc.relation.reference (參考文獻) 12. Neave, E., H., and S. Slavisky, “A Frequency Distribution Approach to Valuingzh_TW
dc.relation.reference (參考文獻) Maximum Options,” The Journal of Derivatives, (Spring 2001), pp. 52-62.zh_TW
dc.relation.reference (參考文獻) 13. Neave, E. H., “A Frequency Distribution Approach for Valuing Average Options,”zh_TW
dc.relation.reference (參考文獻) Astin Bulletin, 27 (Nov. 1997), pp. 173-205.zh_TW