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on a fast algorithm for simulation of the rough heston model
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نویسنده
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veisi elham ,foroush bastani ali
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منبع
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هشتمين همايش ملي رياضيات و علوم انساني - 1403 - دوره : 8 - هشتمین همایش ملی ریاضیات و علوم انسانی - کد همایش: 03240-22097 - صفحه:0 -0
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چکیده
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In this paper, we consider the rough heston model for the asset price dynamics in which the variance process satisfies a stochastic volterra integral equation with a fractional kernel. due to this kernel, the variance process does not posses the markov and semi-martingale properties. so, simulating these types of processes has a high computational cost. in this paper, we simulate the variance process in the rough heston model using a fast algorithm due to ma and wu and compare it with some existing methods. we also show the application of our results to some option pricing problems from the literature.
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کلیدواژه
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rough heston model ,fractional brownian motion ,monte carlo simulation ,option pricing
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آدرس
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, iran, , iran
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پست الکترونیکی
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bastani@iasbs.ac.ir
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Authors
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