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

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Review of Various solution Approaches<br />

Zhu <strong>an</strong>d Fr<strong>an</strong>cis (2004) found <strong>an</strong> improved algorithm to<br />

calculate the critical exercise price.<br />

Table 1. Convergence of the B<strong>in</strong>omial Method<br />

Method<br />

Optimal Exercise Price at Expiry<br />

B<strong>in</strong>omial n=10 78.93<br />

B<strong>in</strong>omial n=100 77.18<br />

B<strong>in</strong>omial n=1000 76.51<br />

Zhu (2006b) 76.11<br />

Wu <strong>an</strong>d Kwok (1997) n=100 76.25<br />

IWIF-II www.sw<strong>in</strong>gtum.com/<strong>in</strong>stitute/IWIF PPT 11/68<br />

Song-P<strong>in</strong>g Zhu, SMAS, April 26, 2007 0-10

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