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Convex Interpolation

 
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Author Convex Interpolation
kubila



Joined: 06 Mar 2009
Posts: 9

PostPosted: Tue May 12, 2009 3:17 am    Post subject: Reply with quote

Cuchulainn wrote:
Hi Kubila,
Here is an article by Hagan and West. It is for yield curve but it might be useful in your case.

http://www.scribd.com/doc/6911816/Hagan-West-Interpolation-methods-for-Curves

hth
D


Thanks a lot! That's exactly what I want!
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Cuchulainn



Joined: 18 Dec 2006
Posts: 461
Location: Amsterdam, the Netherlands

PostPosted: Mon May 11, 2009 7:43 am    Post subject: Reply with quote

Hi Kubila,
Here is an article by Hagan and West. It is for yield curve but it might be useful in your case.

http://www.scribd.com/doc/6911816/Hagan-West-Interpolation-methods-for-Curves

hth
D
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kubila



Joined: 06 Mar 2009
Posts: 9

PostPosted: Mon May 11, 2009 2:27 am    Post subject: why not work Reply with quote

Cuchulainn wrote:
Are you thinking of some kind of least squares or min-max algos?
Why do the usual interpolators not work?


The context is that I have a finite difference result of option prices and now I want to interpolate them. I was thinking that since the option prices are convext against the spot stock price, when we interpolate we should do some kind of a convex interpolation to avoid arbitrage. Am I wrong? Please advise.
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Cuchulainn



Joined: 18 Dec 2006
Posts: 461
Location: Amsterdam, the Netherlands

PostPosted: Sat May 09, 2009 1:21 pm    Post subject: Reply with quote

Are you thinking of some kind of least squares or min-max algos?
Why do the usual interpolators not work?
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kubila



Joined: 06 Mar 2009
Posts: 9

PostPosted: Tue May 05, 2009 4:55 am    Post subject: Convex Interpolation Reply with quote

I want to interpolate option prices across stock prices and volatilities. Since option prices are convex w.r.t. spot price, I guess usual interpolation techniques(splines, parabolic, linear)do not apply. I am wondering if there's existing code available for download?

Last edited by kubila on Mon May 11, 2009 2:28 am; edited 1 time in total
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