PDA

View Full Version : Using Partial Derivatives to check B-S Equation holds and find constants


robot1000
Oct26-11, 08:58 AM
The question I'm trying to solve is part (ii) of the attached file

I've used partial derivatives to input back into the Black Scholes equations and after factorising it, I've got it down to:

(a + 2bt + αt +r) * (S².c.e^(at+bt²) = 0

I'm now stuck on what to do next, as there would need to be 2 equations in order to solve simultaneously which isn't the case above.

Help would appreciated

robot1000
Oct26-11, 01:10 PM
I think I got the solution to the first part by letting (a + 2bt + αt +r) = 0

Therefore a = -r and b = -α/2

However I'm not sure how to complete the last part, I'm sure it's quite straight forward, but I just can't see what to do.

Thanks