A Theory of the Nominal Character of Stock Securities

We construct recursive solutions for, and study the properties of the dynamic equilibrium of an economy with three types of agents: (i) household/investors who supply labor with a finite elasticity, consume a large variety of goods that are not perfect substitutes and trade government bonds; (ii) firms that produce those varieties of goods, receive productivity shocks and set prices in a Calvo manner; (iii) a government that collects an income-driven fiscal surplus and acts mechanically, buying and selling bonds in accordance with a Taylor policy rule based on expected inflation. In this setting we show that stock market returns are much less than one-for-one related to inflation over a one-year holding period, which means that stock securities have a strong nominal character. We also show that their nominal character diminishes as the length of the stock-holding period increases, in accordance with empirical evidence.