Serving the Quantitative Finance Community

 
User avatar
amazingJos
Topic Author
Posts: 0
Joined: May 23rd, 2007, 3:16 pm

Fractional taylor expansion

June 17th, 2010, 2:32 pm

Hi, I'm currently reading Tsibiridi & Atkinson's paper "A possible way of estimating options with stable distributed underlying asset prices"In the paper, the first step to derive an option price with stable distribution is to write the fractional Taylor Series of the option price. I was wondering if any of you could provide me with papers dealing with fractional taylor expansion of stochastic processes' function? Many thanks for your help
 
User avatar
gsgiles
Posts: 0
Joined: December 13th, 2008, 1:39 pm

Fractional taylor expansion

June 18th, 2010, 2:02 pm

It is my experience that fractional derivatives and integrals were much more popular in the old USSR than elsewhere. I would look for a copy of 'Fractional Integrals and Derivatives' by Samko, Kilbas, Marichev. My copy was published by Gordon and Breach Science Publishers 1993. Good luck as it may not be the easiest book to find. Amazon has a used copy for only $400. A steal at twice the price.Happy Huntingand enjoy
Last edited by gsgiles on June 17th, 2010, 10:00 pm, edited 1 time in total.
 
User avatar
gsgiles
Posts: 0
Joined: December 13th, 2008, 1:39 pm

Fractional taylor expansion

June 18th, 2010, 2:04 pm

Check Google reader, scribd, and snips you my find chucnks of it.
 
User avatar
amazingJos
Topic Author
Posts: 0
Joined: May 23rd, 2007, 3:16 pm

Fractional taylor expansion

June 24th, 2010, 3:01 pm

Ok, many thanks, I'll try to get it. Wish me good luck...