Parameter sensitivity of CIR process
نویسنده
چکیده
We study the differentiability of the CIR process with respect to its parameters. We give a stochastic representation for these derivatives in terms of the paths of V .
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متن کاملیک روش عددی برای حل مسئله قیمتگذاری اختیارات آمریکایی تحت مدل نرخ بهره تصادفی CIR
هدف اصلی این مقاله تعیین قیمت اختیار فروش آمریکایی میباشد هنگامی که نرخ بهره خود از یک فرایند تصادفی تبعیت میکند. بدین منظور، ابتدا مدل دارایی پایه را به مدل نرخ بهره تصادفی کاکس-اینگرسول-راس[i] (CIR) توسعه میدهیم. سپس، مسئله قیمتگذاری اختیارت آمریکایی تحت مدل نرخ بهره تصادفی CIR، را به صورت یک مسئله مکمل خطی[ii] (LCP) دو بعدی فرمول بندی میکنیم. برای حل این LCP دو بعدی روش تجزیه مولفهای ...
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