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http://dx.doi.org/10.5351/KJAS.2010.23.4.621

On Pricing Equity-Linked Investment Products with a Threshold Expense Structure  

Bae, Tae-Han (Algorithmics Inc.)
Ko, Bang-Won (Department of Statistics and Actuarial Science, Soongsil University)
Publication Information
The Korean Journal of Applied Statistics / v.23, no.4, 2010 , pp. 621-633 More about this Journal
Abstract
This paper considers a certain expense structure where a vendor of equity-linked investment product will collect its expenses continuously from the investor's account whenever the investment performance exceeds a certain threshold level. Under the Black-Scholes framework, we derive compact convolution formulas for evaluating the total expenses to be collected during the investment period by using the joint Laplace transform of the Brownian motion and its excursion time. We provide numerical examples for illustration.
Keywords
Threshold expense structure; joint Laplace transform; Brownian motion; excursion time;
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