Applying the Control Variate Technique to Numerical Option Pricing Models
碩士 === 國立中央大學 === 財務管理研究所 === 89 === For many complex options, analytical solutions are not available. In these cases a Monte Carlo simulation is an important numerical method. In its basic form, however, the Monte Carlo simulation is computationally inefficient, the control variate technique can be...
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ndltd-TW-089NCU003050092016-01-29T04:28:17Z http://ndltd.ncl.edu.tw/handle/25161408985775228457 Applying the Control Variate Technique to Numerical Option Pricing Models 控制變數法在數值選擇權評價模型之應用分析 Cheng-ming Chu 屈誠銘 碩士 國立中央大學 財務管理研究所 89 For many complex options, analytical solutions are not available. In these cases a Monte Carlo simulation is an important numerical method. In its basic form, however, the Monte Carlo simulation is computationally inefficient, the control variate technique can be used to improve the efficiency of a Monte Carlo simulation. This paper presents a principle for finding better control variates when considering an option. A good control variate has to satisfy two conditions: The first is that a good control variate satisfies the same PDE satisfied by the target option. The second is that the boundary condition for the control variate is similar to the boundary condition for the target option. Options under consideration in this paper include American put options, barrier options, Asian options, and spread options. The result shows that a good control variate can improve the efficiency of the simulation dramatically and a good control variate can be differentiated from a bad control variate in a Monte Carlo simulation. San-Lin Chang 張森林 2001 學位論文 ; thesis 38 en_US |
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碩士 === 國立中央大學 === 財務管理研究所 === 89 === For many complex options, analytical solutions are not available. In these cases a Monte Carlo simulation is an important numerical method. In its basic form, however, the Monte Carlo simulation is computationally inefficient, the control variate technique can be used to improve the efficiency of a Monte Carlo simulation. This paper presents a principle for finding better control variates when considering an option.
A good control variate has to satisfy two conditions: The first is that a good control variate satisfies the same PDE satisfied by the target option. The second is that the boundary condition for the control variate is similar to the boundary condition for the target option. Options under consideration in this paper include American put options, barrier options, Asian options, and spread options. The result shows that a good control variate can improve the efficiency of the simulation dramatically and a good control variate can be differentiated from a bad control variate in a Monte Carlo simulation.
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San-Lin Chang |
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San-Lin Chang Cheng-ming Chu 屈誠銘 |
author |
Cheng-ming Chu 屈誠銘 |
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Cheng-ming Chu 屈誠銘 Applying the Control Variate Technique to Numerical Option Pricing Models |
author_sort |
Cheng-ming Chu |
title |
Applying the Control Variate Technique to Numerical Option Pricing Models |
title_short |
Applying the Control Variate Technique to Numerical Option Pricing Models |
title_full |
Applying the Control Variate Technique to Numerical Option Pricing Models |
title_fullStr |
Applying the Control Variate Technique to Numerical Option Pricing Models |
title_full_unstemmed |
Applying the Control Variate Technique to Numerical Option Pricing Models |
title_sort |
applying the control variate technique to numerical option pricing models |
publishDate |
2001 |
url |
http://ndltd.ncl.edu.tw/handle/25161408985775228457 |
work_keys_str_mv |
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