Following the pricing approach proposed by Zhu & Lian (2009), we present an exact solution for pricing variance swaps with the realized variance in the payoff function being a logarithmic return of the underlying asset at some pre-speci¯ed discrete sampling points. Our newly-found pricing formula is based on the Heston's (1993) two-factor stochastic volatil- ity model. The discovery of this exact and closed-form solution has signi¯cantly improved the computational efficiency involved in computing the value of variance swaps with discrete sampling points.