06.08.2012 Views

Computational Finance on the GPU

Computational Finance on the GPU

Computational Finance on the GPU

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Analytic<br />

• Some derivatives have an analytic soluti<strong>on</strong><br />

f<br />

t<br />

rS<br />

f<br />

S<br />

1<br />

2<br />

2 2<br />

S<br />

2<br />

f<br />

2<br />

S<br />

rf<br />

Black -Scholes<br />

Formula<br />

• Compare analytical result with numerical result<br />

– Provides a C<strong>on</strong>trol Variate<br />

f<br />

d<br />

d<br />

1<br />

2<br />

Ke<br />

rT<br />

ln( S<br />

0<br />

(<br />

K)<br />

d<br />

2<br />

)<br />

( r<br />

T<br />

d )<br />

2)<br />

T<br />

ln( S0<br />

K)<br />

( r<br />

T<br />

2<br />

2)<br />

T<br />

d1<br />

Price for European Put Opti<strong>on</strong><br />

S<br />

0<br />

2<br />

(<br />

1<br />

T

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

Saved successfully!

Ooh no, something went wrong!