“…Specifically, following Barro (1979), Roubini (1988), Bohn (1990), Ghosh (1995), and Lloyd-Ellis, Zhan, and Zhu (2005), we assume that the excess burden of taxation is summarized by a quadratic loss function c (τ t ) = 1 2 (τ t + ϕ) 2 , which measures the value of real income "wasted" when taxes are τ t . 13 The optimization problem of the government can thus be 13 Following Barro (1979), Sargent (1987), Bohn (1989), and Huang and Lin (1993), the value of the parameter, ϕ, in the loss function is set such that the loss function has the standard properties of c (τ ) > 0 and c (τ ) > 0. Note that the value of ϕ does not affect the stochastic proprties of the joint behavior of the three key fiscal variables.…”