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  1. NTU Theses and Dissertations Repository
  2. 管理學院
  3. 國際企業學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/67451
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dc.contributor.advisor王之彥
dc.contributor.authorChung-Lin Wuen
dc.contributor.author吳重霖zh_TW
dc.date.accessioned2021-06-17T01:32:47Z-
dc.date.available2019-08-04
dc.date.copyright2017-08-04
dc.date.issued2017
dc.date.submitted2017-08-02
dc.identifier.citation1. Barone-Adesi, G. and Whaley, R. (1987). “Efficient Analytic Approximation of American Option Values”. Journal of Finance, 42, 301-320.
2. Broadie and Glasserman (1997a). “A stochastic mesh method for Pricing High-Dimensional American Options”. Unpublished manuscript.
3. Hull, J. and A. White. (1994b). “Numerical Procedures for Implementing Term Structure Models II: Two-Factor Models”. Journal of Derivatives, 2, 37-48.
4. Johnson, H. (1987), Options on the maximum or the minimum of several assets. Journal of Financial and Quantitative Analysis, 22, 277-283.
5. Ju, N. (1998). “Pricing an American Option by Approximating Its Early Exercise Boundary as a Multipiece Exponential Function”. Review of Financial Studies, 11, 627-646.
6. Kim, I. J. (1990). “The Analytic Valuation of American Options”. The Review of Financial Studies, 3, 547-572.
7. Lin C.Y. (2016) “Pricing American Rainbow Options”. Master thesis, National Taiwan University.
8. Longstaff, F. and Schwartz, E. (2001). “Valuating American Options by Simulation: A Simple Least-Squares Approach”. Review of Financial Studies, 14(1), 113-147.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/67451-
dc.description.abstract本篇論文將延伸Lin (2016)的兩資產平方逼近法(參考Barone-Adesi, G. and Whaley, R. (1987))簡稱BAW,將其拓展成為可以定價多個資產的方法。在解BAW提早履約貼水時偏微分的部分,將比重做不同的調整,調整過後的比重在定價美式彩虹選擇權時,加上原來Lin (2016)的方法,三個方法去與真實值比較,發現本論文所考慮進去的方法會較為準確。
另外,本篇論文也用BAW法定價五資產之美式彩虹選擇權,並與廣為人知的最小平方法(Least Square Method)去做比較,結果顯示,在精準度上,BAW法擊敗最小平方法。
zh_TW
dc.description.abstractThis paper modifies Lin (2016)’s quadratic approximation method to develop a multi-asset pricing method for American rainbow options. Specifically, I reconsider different weighting schemes for individual underlying assets when solving the partial differential equation of the early exercise premium of the American rainbow option. The proposed weighting schemes are superior to the method used in Lin (2016) in terms of generating accurate option prices for two-asset American rainbow options. Furthermore, I also compare the proposed method with the least-squares Monte-Carlo simulation for pricing five-asset American rainbow options. The results demonstrate that the proposed method is more efficient and accurate than the least-squares Monte-Carlo simulation.en
dc.description.provenanceMade available in DSpace on 2021-06-17T01:32:47Z (GMT). No. of bitstreams: 1
ntu-106-R04724058-1.pdf: 1307121 bytes, checksum: 112c8551f4c49d7472fc8a0ada74c462 (MD5)
Previous issue date: 2017
en
dc.description.tableofcontents口試委員審定書 I
誌謝 II
摘要 III
ABSTRACT IV
TABLES VI
CHAPTER 1 INTRODUCTION 1
CHAPTER 2 METHODOLOGY 3
CHAPTER 3 NUMERICAL RESULTS 9
CHAPTER 4 CONCLUSIONS 14
REFERENCE 15
APPENDIX 16
dc.language.isozh-TW
dc.subject美式彩虹選擇權zh_TW
dc.subject平方逼近法zh_TW
dc.subject最小平方法zh_TW
dc.subject五資產zh_TW
dc.subject權重zh_TW
dc.subjectFive-asseten
dc.subjectLeast squares methoden
dc.subjectQuadratic approximationen
dc.subjectWeightingen
dc.subjectAmerican rainbow optionen
dc.title多資產美式彩虹選擇權評價zh_TW
dc.titlePricing Multi-asset American Rainbow Optionsen
dc.typeThesis
dc.date.schoolyear105-2
dc.description.degree碩士
dc.contributor.oralexamcommittee石百達,王耀輝
dc.subject.keyword美式彩虹選擇權,平方逼近法,最小平方法,五資產,權重,zh_TW
dc.subject.keywordAmerican rainbow option,Quadratic approximation,Least squares method,Five-asset,Weighting,en
dc.relation.page28
dc.identifier.doi10.6342/NTU201702468
dc.rights.note有償授權
dc.date.accepted2017-08-03
dc.contributor.author-college管理學院zh_TW
dc.contributor.author-dept國際企業學研究所zh_TW
Appears in Collections:國際企業學系

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