15.03.2015 Views

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

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

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

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

An Exact Solution <strong>in</strong> Series Exp<strong>an</strong>sion Form<br />

Some Def<strong>in</strong>itions (Cont.)<br />

“closed-form”<br />

– “An equation is said to be a closed-form solution if it solves<br />

a given problem <strong>in</strong> terms of functions <strong>an</strong>d mathematical<br />

operations from a given generally accepted set. For example,<br />

<strong>an</strong> <strong>in</strong>f<strong>in</strong>ite sum would generally not be considered closed-form.<br />

However, the choice of what to call closed-form <strong>an</strong>d what<br />

not is rather arbitrary s<strong>in</strong>ce a new ”closed-form”<br />

function could simply be def<strong>in</strong>ed <strong>in</strong> terms of the <strong>in</strong>f<strong>in</strong>ite<br />

sum.”; (cf. mathworld.wolfram.com)<br />

IWIF-II www.sw<strong>in</strong>gtum.com/<strong>in</strong>stitute/IWIF PPT 29/68<br />

Song-P<strong>in</strong>g Zhu, SMAS, April 26, 2007 0-28

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!