کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
963527 | 1479125 | 2010 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The valuation of contingent claims using alternative numerical methods
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موضوعات مرتبط
علوم انسانی و اجتماعی
اقتصاد، اقتصادسنجی و امور مالی
اقتصاد و اقتصادسنجی
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چکیده انگلیسی
This study compares the computational accuracy and efficiency of three numerical methods for the valuation of contingent claims written on multiple underlying assets; these are the trinomial tree, original Markov chain and Sobol-Markov chain approaches. The major findings of this study are: (i) the original Duan and Simonato (2001) Markov chain model provides more rapid convergence than the trinomial tree method, particularly in cases where the time to maturity period is less than nine months; (ii) when pricing options with longer maturity periods or with multiple underlying assets, the Sobol-Markov chain model can solve the problem of slow convergence encountered under the original Duan and Simonato (2001) Markov chain method; and (iii) since conditional density is used, as opposed to conditional probability, we can easily extend the Sobol-Markov chain model to the pricing of derivatives which are dependent on more than two underlying assets without dealing with high-dimensional integrals. We also use 'executive stock options' (ESOs) as an example to demonstrate that the Sobol-Markov chain method can easily be applied to the valuation of such ESOs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of International Financial Markets, Institutions and Money - Volume 20, Issue 5, December 2010, Pages 490-508
Journal: Journal of International Financial Markets, Institutions and Money - Volume 20, Issue 5, December 2010, Pages 490-508
نویسندگان
Chuang-Chang Chang, Jun-Biao Lin,