Optimal Retirement Age and Lower Bound on Interest Rate

For a long time now, the monetary policy in the US and other industrialized countries has been a regime of cheap money with the interest rate often being negative. A low interest rate in the framework of the Keynesian monetary policy stimulates demand but is hard on the retirees who are mostly on a fixed income. This paper generates a simple model to understand the interaction between current wealth, savings rate, interest rate and retirement age. The model also suggests a lower bound on the interest rate. The minimum interest rate at which Americans of median age with median wealth and median income, and retiring at the age of 67, turns out to be 10%. For Canada, using similar measures, the minimum interest rates turns out to be 6%