The Risk-free Rate and the Risk-adjusted Growth Rate -- by Stavros Panageas

Several important questions — such as the possibility of debt-rollover without primary surpluses — turn on whether the present value of the aggregate endowment is finite, i.e., whether the economic growth rate under the “risk-neutral” measure, lies below the risk-free rate. It is tempting to argue that the endowment must be finitely valued, since there exist finitely-valued, non-depreciating assets whose cash flows are cointegrated with aggregate output. This paper shows why this argument is incorrect. A remarkable historical episode in which French government bonds were indexed to aggregate growth allows direct measurement of the risk-adjusted growth rate, which is found to exceed the risk-free rate.