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数学与物理学

浮动敲定价格几何平均亚式期权的风险中性定价

  • 曹桂兰 ,
  • 王勇
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  • 中国科学院大学数学科学学院, 北京 100049

收稿日期: 2013-11-20

  修回日期: 2014-04-29

  网络出版日期: 2015-01-15

基金资助

Supported by National Natural Science Foundation of China (10901161)

Risk-neutral pricing for geometric average Asian options with floating strike

  • CAO Guilan ,
  • WANG Yong
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  • School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2013-11-20

  Revised date: 2014-04-29

  Online published: 2015-01-15

Supported by

Supported by National Natural Science Foundation of China (10901161)

摘要

亚式期权是一种回报与一段时期内资产平均价格相关的期权.以计价单位变换为工具,由风险中性定价方法推导具有浮动敲定价格的离散和连续几何平均亚式期权的价格公式.

本文引用格式

曹桂兰 , 王勇 . 浮动敲定价格几何平均亚式期权的风险中性定价[J]. 中国科学院大学学报, 2015 , 32(1) : 13 -17 . DOI: 10.7523/j.issn.2095-6134.2015.01.003

Abstract

Asian options are path dependent contingent claims whose terminal payoff depends on the average of underlying asset price over some period prior to maturity. Using change of numéraire as a tool, we illustrate how to derive price formulae for the discrete and continuous geometric average Asian options with floating strike price by risk-neutral valuation approach.

参考文献

[1] Geman H, Yor M. Bessel processes, Asian options and perpetuities[J]. Mathematical Finance, 1993,3:349-375.

[2] Cruz-Baez D I, Gonzalez-Rodriguez J M. A different approach for pricing Asian options [J]. Applied Mathematics Letters, 2008,21:303-306.

[3] Gounden S, O'Hara J G. An analytic formula for the price of an American-style Asian option of floating strike type[J]. Applied Mathematics and Computation, 2010,217:2 923-2 936.

[4] Mudzimbabwe W, Patidar K C, Witbooi P J. A reliable numerical method to price arithmetic Asian options [J]. Applied Mathematics and Computation, 2012,218:10 934-10 942.

[5] Boyle P, Potapchik A. Prices and sensitivities of Asian options: a survey [J]. Insurance: Mathematics and Economics, 2008,42:189-211.

[6] Ewald C O, Menkens O, Ting S H M. Asian and Australian options: a common perspective [J]. Journal of Economic Dynamics and Control, 2013,37:1 001-1 018.

[7] Eberlein E, Papapantoleon A. Equivalence of floating and fixed strike Asian and lookback options [J]. Stochastic Processes and their Applications, 2005,115:31-40.

[8] Kemna A G, Vorst. A pricing method for options based on average asset values [J]. Journal of Banking and Finance, 1990,14:113-129.

[9] Wu L, Kwok Y K, Yu H. Asian options with the American early exercise feature[J]. International Journal of Theoretical and Applied Finance, 1999,2:101-111.

[10] Devreese J P, Lemmens D, Tempere J. Path integral approach to Asian options in the Black-Scholes model [J]. Physica A, 2010,389:780-788.

[11] Boyle P P. New life forms on the option landscape [J]. Journal of Financial Engineering, 1993,2(3):217-252.

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