Numerical of Derivatives - Tree Methods

碩士 === 國立交通大學 === 應用數學系 === 89 === In this paper, we will introduce the European option pricing model developed by Black and Scholes in 1973. At the same time, it can approximate the Black-Scholes formula by many numerical methods, like binomial, trinomial, finite difference, implied tree...

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Main Authors: Ku-Yuan Shih, 施冠宇
Other Authors: Yuan-Chung Sheu
Format: Others
Language:zh-TW
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/57753269195468415218
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spelling ndltd-TW-089NCTU05070142016-01-29T04:28:15Z http://ndltd.ncl.edu.tw/handle/57753269195468415218 Numerical of Derivatives - Tree Methods 衍生性商品數值評價─樹狀圖法 Ku-Yuan Shih 施冠宇 碩士 國立交通大學 應用數學系 89 In this paper, we will introduce the European option pricing model developed by Black and Scholes in 1973. At the same time, it can approximate the Black-Scholes formula by many numerical methods, like binomial, trinomial, finite difference, implied tree, etc. We will compute the reasonable price of American option furthermore. Finally, we compute the Lookback option price by these numerical methods and use root mean square error (RMSE) to investigate the accuracies between different numerical methods with parameters. Yuan-Chung Sheu 許元春 2001 學位論文 ; thesis 69 zh-TW
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language zh-TW
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sources NDLTD
description 碩士 === 國立交通大學 === 應用數學系 === 89 === In this paper, we will introduce the European option pricing model developed by Black and Scholes in 1973. At the same time, it can approximate the Black-Scholes formula by many numerical methods, like binomial, trinomial, finite difference, implied tree, etc. We will compute the reasonable price of American option furthermore. Finally, we compute the Lookback option price by these numerical methods and use root mean square error (RMSE) to investigate the accuracies between different numerical methods with parameters.
author2 Yuan-Chung Sheu
author_facet Yuan-Chung Sheu
Ku-Yuan Shih
施冠宇
author Ku-Yuan Shih
施冠宇
spellingShingle Ku-Yuan Shih
施冠宇
Numerical of Derivatives - Tree Methods
author_sort Ku-Yuan Shih
title Numerical of Derivatives - Tree Methods
title_short Numerical of Derivatives - Tree Methods
title_full Numerical of Derivatives - Tree Methods
title_fullStr Numerical of Derivatives - Tree Methods
title_full_unstemmed Numerical of Derivatives - Tree Methods
title_sort numerical of derivatives - tree methods
publishDate 2001
url http://ndltd.ncl.edu.tw/handle/57753269195468415218
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AT shīguānyǔ numericalofderivativestreemethods
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AT shīguānyǔ yǎnshēngxìngshāngpǐnshùzhípíngjiàshùzhuàngtúfǎ
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