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Pricing American Options - an Important Fundamental Research in ...

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Review of Various solution Approaches<br />

Integral Equation Approach<br />

Kim (1990) used the <strong>in</strong>tegral equation approach to show that<br />

there is <strong>an</strong> early-exercise premium associated with the<br />

<strong>Americ<strong>an</strong></strong> options;<br />

Jacka (1991) established the equivalence between <strong>an</strong> optimal<br />

stopp<strong>in</strong>g problem suggested by Karatzas (1988) <strong>an</strong>d the<br />

<strong>in</strong>tegral equation approach;<br />

Hu<strong>an</strong>g et al. (1996) presented a numerical solution to solve<br />

the <strong>in</strong>tegral equation;<br />

Ju (1998) proposed <strong>an</strong> approximate method to f<strong>in</strong>d the<br />

solution of the <strong>in</strong>tegral equation for the optimal exercise<br />

boundary;<br />

IWIF-II www.sw<strong>in</strong>gtum.com/<strong>in</strong>stitute/IWIF PPT 12/68<br />

Song-P<strong>in</strong>g Zhu, SMAS, April 26, 2007 0-11

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