By Michael D. Bordo, Barry Eichengreen
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Extra info for A Retrospective on the Bretton Woods system
6. They are identical. The choice of consumption in this monetary equilibrium will be identical to the one we found when we were looking at the stationary allocation that was dictated by a central planner who wanted to maximize the utility of the future generations. This implies that the stationary monetary equilibrium obeys the golden rule. The introduction of fiat money not only allows the future generations to increase their utility through trade but, in this case, also allows them to reach their maximum feasible utility.
In this chapter, we modeled growth in an economy by a growing population. We could also achieve a growing economy by having an endowment that increases over time. To see this, consider the following economy: Let the number of young people born in each period be constant at N . There is a constant stock of fiat money, M. Each young person born in period t is endowed with yt units of the consumption good when young and nothing when old. The individual endowment grows over time so that yt = αyt−1 where α > 1.
Combine these constraints into a lifetime budget constraint. b. Write down the condition that represents the clearing of the money market in an arbitrary period t. Use this condition to find the real rate of return of fiat money in a monetary equilibrium. Explain the path over time of the value of fiat money. Appendix: Using Calculus With the use of simple calculus, we can derive mathematical representations of the demand of fiat money from specific utility functions. In the main body of the text, we have simply assumed certain demand-for-money functions to illustrate monetary equilibria.