增补预防性储蓄的托宾-索洛模型

非预期的预防性储蓄通过资产替代产生稳态名义货币增长率(或稳态通货膨胀率)对稳态人均资本(或稳态人均产出)的非线性门槛效应。门槛的临界值是非预期预防性储蓄与实际货币增加量比率的递减函数。非线性机制取决于非预期预防性储蓄与实际货币增加量比率和人均实际货币余额-人均资本比率与通货膨胀率、人均资本边际产出的相关性。

The Tobin-Solow Model Augmented with Precautionary Saving

Unexpected precautionary saving gives rise to the nonlinear threshold effect of the steady state growth rate of nominal money（or steady state inflation rate）on steady state capital per capita（or steady state output per capita）by asset substitution.The critical value of the threshold is a monotonically decreasing function of the ratio of unexpected precautionary saving to real money increment.Nonlinear mechanics is determined by the ratio of unexpected precautionary saving to real money increment and the correlations between the ratio of real money balances per capita to capital per capita and inflation rate,and marginal output of capital per capita.