A senera1 proof of the Dybvig-Ingersoll-Ross Theorem o n thc monotonicity of long foraard rates is presented. Some inconsistencies in the original proof o f this theorein are discussed. Copyright 2002 Blackwell Publishers.

We consider weak convergence of a sequence of asset price models "(S-super-n)" to a limiting asset price model "S". A typical case for this situation is the convergence of a sequence of binomial models to the Black-Scholes model, as studied by Cox, Ross, and Rubinstein. We put emphasis on two...

ARCH models have become popular for modeling financial time series. They seem, at first, however, to be incompatible with the option pricing approach of Black, Scholes, Merton et al., because they are discrete-time models and possess too much variability. We show that completeness of the market...