May 4th, 2004, 1:39 pm
Hi.I'm currently worrying about why my garch/Levenberg-Marquardt engine (forgive the specificity from here on) is sending my values for components of my alpha (cf curvature) matrix through the roof - and I wondered if there's anybody here who has had (and resovled) similar issues.briefly, Hull gives the merit function to maximise wrt the Garch parameters, omega, alpha & beta. following procedures described in Press (et al) I arrive at expressions for alpha_j,k and beta_j quite different than that given in Press (et al) for the case they consider (which wasn't worrying me untill I noticed that my expressions allow pathological behaviour...). the alpha_j,k term I arrived at includes a multiplicative term (1/v_i)*((u_i^2/v_i)-0.5)if that's clear (u_i is the return on the i'th day, v_i=sigma_i^2 and is calculated from the garch(1,1) eqn given a set of trial parameters). this isn't as elegant as I'd like, and it certainly seems to cause the alpha's to go crazy as (1/v_i) is very small (approx 10^-6) and dominates the terms in the sum.does this ring a bell with anybody?thanks in advance,Richard.
Last edited by
richardd on May 3rd, 2004, 10:00 pm, edited 1 time in total.