This article shows that the one-state-variable interest-rate models of Vasicek (1977) and Cox, Ingersoll, and Ross (1985b) can be extended so that they are consistent with both the current term structure of interest rates and either the current volatilities of all spot interest rates or the...

This paper presents a generalized version of the lattice approach to pricing options. It shows how the control variate technique can produce significant improvements in the efficiency of the approach. The control variate technique is illustrated using American puts on dividend and nondividend...