Comparing Apples to Apples: “Synthetic Real‑Time” Estimates of R‑Star

Estimates of the natural rate of interest, commonly called “r-star,” garner a great deal of attention among economists, central bankers, and financial market participants. The natural interest rate is the real (inflation-adjusted) interest rate expected to prevail when supply and demand in the economy are in balance and inflation is stable. The natural rate cannot be measured directly but must be inferred from other data. When assessing estimates of r-star, it is important to distinguish between real-time estimates and retrospective estimates. Real-time estimates answer the question: “What is the value of r-star based on the information available at the time?” Meanwhile, retrospective estimates answer the question: “What was r-star at some point in the past, based on the information available today?” Although the latter question may be of historical interest, the former question is typically more relevant in practice, whether in financial markets or central banks. Thus, given their different nature, comparing real-time and retrospective estimates is like comparing apples to oranges. In this Liberty Street Economics post, we address this issue by creating new “synthetic real-time” estimates of r-star in the U.S. for the Laubach-Williams (2003) and Holston-Laubach-Williams (2017) models, using vintage datasets. These estimates enable apples-to-apples comparisons of the behavior of real-time r-star estimates over the past quarter century.
Risk Aversion and the Natural Interest Rate
One way to assess the stance of monetary policy is to assert that there is a natural interest rate (NIR), defined as the rate consistent with output being at its potential. Broadly speaking, monetary policy can be seen as expansionary if the policy rate is below the NIR with the gap between the rates measuring the extent of the policy stimulus. Of course, there are many challenges in defining and measuring the NIR, with various factors driving its value over time. A key factor that needs to be considered is the effect of uncertainty and risk aversion on households’ savings decisions. Households’ tolerance for risk tends to be lower during downturns, putting upward pressure on precautionary savings, and thereby downward pressure on the natural interest rate. In addition, uncertainty dictates how much precautionary savings responds to changes in risk aversion. So policymakers need to be aware that rate moves to offset adverse economic conditions that are appropriate in tranquil times may not be sufficient in times of high uncertainty.