Ruling Out Nonstationary Speculative Bubbles

There is a large and growing empirical literature that tests forthe existence of asset-price bubbles or "sunspot" equilibria -- equilibria unrelated to market fundamentals. Our view is that even tests for non-stationary asset-price bubbles should not be interpreted as such. In the present paper we extend earlier work of ours which provided a strong case for ruling out nonstationary speculative price bubbles in models based on individual maximizing behavior. In the first part of the paper we study the possibility of stochastic exploding price-level bubbles of the kind proposed by Blanchard (1979). As in our previous work, a scheme of fractionally backing the currency with real outputis sufficient to preclude such bubbles. In the second part of the paper we examine conditions for ruling out implosive price-level bubbles, equilibrium paths along which the price level asymptotes to zero even though the monetary growth rate is constant. A condition on preference simplied by any reasonable monetary transactions technology is sufficient to prevent such bubbles from emerging. Given that anticipated future disturbances can lead to price paths which are qualitatively indistinguishable from b