Following Blandchard's (1981) and Miller-Weller's (1995) work, this study builds a modified rational expectations model with a linear stochastic differential equation to show that: monetary stabilization policy could be implemented in a closed economy where money supply is adjusted only when the output level moves outside a threshold around a target level. The impact of such a state-contingent policy on the stock price is analyzed, and it is shown how the stock market will anticipate the effects of the threshold stabilization policy. The dynamic adjustment effects of the anticipated stock price on the output level and the stock price level will also be demonstrated.