Inflation, human capital and Tobin's q

A strong US postwar low frequency negative correlation exists between inflation and Tobin's q. To explain this, a production-based monetary asset pricing model is formulated with a rising marginal cost of investment, cash-in-advance and human capital based endogenous growth. Higher money supply growth causes higher inflation, lower output growth, and a lower q in the long run. The baseline model simulates well correlations of the US inflation rate and Tobin's q at each frequency of high, business cycle, low, and the “medium term.” It also performs well in correlations and volatilities compared to related exogenous growth versions.