کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471430 698632 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An integral equation approach for the valuation of American-style down-and-out calls with rebates
ترجمه فارسی عنوان
رویکرد معادلات انتگرال برای ارزیابی تماسهای پایین و خروجی آمریکایی با تخفیف
کلمات کلیدی
گزینه های مانع از نوع آمریکایی، تبدیل سینوسی فوریه، معادله انتگرال، مرز بهینه ورزشی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

In this paper, an integral equation approach is adopted to price American-style down-and-out calls. Instead of using the probability theory as used in the literature, we use the continuous Fourier sine transform to solve the partial differential equation system governing the option prices. As a way of validating our approach, we show that the “early exercise premium representation” for American-style down-and-out calls without rebate can be re-derived by using our approach. We then examine the case that time-dependent rebates are included in the contract of American-style down-and-out calls. As a result, a more general integral representation for the price of an American-style down-and-out call, with the presence of an extra term associated with the rebate, is obtained. Our numerical method based on the newly-derived integral representation appears to be efficient in computing the price and the hedging parameters for American-style down-and-out calls with rebates. In addition, significant effects of rebates on the option prices and the optimal exercise boundaries are illustrated through selected numerical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 2, January 2016, Pages 544–564
نویسندگان
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