May 24th, 2005, 5:17 am
Thank you, Fodao. In my understanding, BS defines base correlations as correlation inputs of series of equity tranches that can be used to replicate pay-offs in mezzanine or senior tranches. So the base correlation of [0,7] tranche is the correlation input which makes the equation below true.PV[3,7](rho, S) = PV[0,7](base7, S) – PV[0,3](base3, S)*S is the 3-7 fair market premium On the other hand, in my understanding, JP defines base correlations as correlation inputs of series of equity tranches that can be used to replicate expected losses of mezzanine or senior tranches at maturity. So the base correlation of [0,7] tranche is the correlation input which makes the equation below true.EL[3,7](rho) = EL[0,7](base 7) – EL[0,3](base 3) The BS approach seems more precise and intuitive in the way that base correlations are defined to replicate pay-offs rather than expected losses at maturity. So it seems natural for a financial institution to use the BS approach for that reason. I guess that JP’s approach can only be applicable if we use homogeneous model (assuming all spreads are flat and equal through the whole period). Because under the homogeneous condition, base correlations of JP’s approach can replicate pay-offs. Is it why you mentioned that the BS approach is better if we are not using homogeneous model?Regards,