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.
The New York Fed DSGE Model Forecast—December 2024

This post presents an update of the economic forecasts generated by the Federal Reserve Bank of New York’s dynamic stochastic general equilibrium (DSGE) model. We describe very briefly our forecast and its change since September 2024. As usual, we wish to remind our readers that the DSGE model forecast is not an official New York Fed forecast, but only an input to the Research staff’s overall forecasting process. For more information about the model and variables discussed here, see our DSGE model Q & A.
The New York Fed DSGE Model Forecast—September 2024

This post presents an update of the economic forecasts generated by the Federal Reserve Bank of New York’s dynamic stochastic general equilibrium (DSGE) model. We describe very briefly our forecast and its change since June 2024. As usual, we wish to remind our readers that the DSGE model forecast is not an official New York Fed forecast, but only an input to the Research staff’s overall forecasting process. For more information about the model and variables discussed here, see our DSGE model Q & A.
The New York Fed DSGE Model Forecast—June 2024

This post presents an update of the economic forecasts generated by the Federal Reserve Bank of New York’s dynamic stochastic general equilibrium (DSGE) model. We describe very briefly our forecast and its change since March 2024. As usual, we wish to remind our readers that the DSGE model forecast is not an official New York Fed forecast, but only an input to the Research staff’s overall forecasting process. For more information about the model and variables discussed here, see our DSGE model Q & A.
Where Is R‑Star and the End of the Refi Boom: The Top 5 Posts of 2023

The topics covered on Liberty Street Economics in 2023 hit many themes, reflecting the range of research interests of the more than sixty staff economists at the New York Fed and their coauthors. We published 122 posts this year, exploring important subjects such as equitable growth and the economic impacts of extreme weather, alongside our deep and long-standing coverage of topics like inflation, banking system vulnerability, international economics, and monetary policy effects. As we close out the year, we’re taking a look back at the top five posts. See you again in 2024.
The Post‑Pandemic r*

The debate about the natural rate of interest, or r*, sometimes overlooks the point that there is an entire term structure of r* measures, with short-run estimates capturing current economic conditions and long-run estimates capturing more secular factors. The whole term structure of r* matters for policy: shorter run measures are relevant for gauging how restrictive or expansionary current policy is, while longer run measures are relevant when assessing terminal rates. This two-post series covers the evolution of both in the aftermath of the pandemic, with today’s post focusing especially on long-run measures and tomorrow’s post on short-run r*.
The New York Fed DSGE Model Forecast—March 2023

This post presents an update of the economic forecasts generated by the Federal Reserve Bank of New York’s dynamic stochastic general equilibrium (DSGE) model. We describe very briefly our forecast and its change since December 2022. Note that this forecast was produced on February 27, and hence should be viewed as reflecting the state of the economy before the current banking sector turmoil.
The New York Fed DSGE Model Forecast—December 2022

This post presents an update of the economic forecasts generated by the Federal Reserve Bank of New York’s dynamic stochastic general equilibrium (DSGE) model. We describe very briefly our forecast and its change since September 2022.
Federal Reserve System Conference on the Financial Stability Considerations for Monetary Policy

How does monetary policy affect financial vulnerabilities and, in turn, how does the state of the financial system interact with the maximum employment and price stability goals of monetary policy? These were the key questions covered in the September 30 conference organized by the Federal Reserve System. The conference was co-led by Federal Reserve Board Vice Chair Lael Brainard and Federal Reserve Bank of New York President and CEO John C. Williams, each of whom offered prepared remarks. The program also included a panel of current and former central bank policymakers to explore the themes of the conference, as well as paper presentations with discussants. In this post, we discuss highlights of the conference. The agenda includes links to all of the presentations as well as videos for each session.
Just Released: Interactive R‑star Charts
With the arrival of Bank President John Williams from the San Francisco Fed, we’re now running—and sharing the output of—models he helped develop to obtain estimates of the natural rate of interest, or r-star, for the United States and other advanced economies. In the models’ definition, r-star is the real interest rate that allows an economy to expand in line with its underlying potential while keeping inflation stable.