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Report
The equilibrium real policy rate through the lens of standard growth models

The long-run equilibrium real policy rate is a key concept in monetary economics and an important input into monetary policy decision-making. It has gained particular prominence lately as the Federal Reserve continues to normalize monetary policy. In this study, we assess the evolution, current level, and prospective values of this equilibrium rate within the framework of standard growth models. Our analysis considers as a baseline the single-sector Solow model, but it places more emphasis on the multi-sector neoclassical growth model, which better fits the data over the past three decades. ...
Current Policy Perspectives , Paper 17-6

Working Paper
Some Evidence on Secular Drivers of US Safe Real Rates

We study long-run correlations between safe real interest rates in the United States and over 20 variables that have been hypothesized to influence real rates. The list of variables is motivated by the familiar intertermporal IS equation, by models of aggregate savings and investment, and by reduced form studies. We use annual data, mostly from 1890 to 2016. We find that safe real interest rates are correlated as expected with demographic measures. For example, the long-run correlation with labor force hours growth is positive, which is consistent with overlapping generations models. For ...
Working Papers (Old Series) , Paper 1723

Journal Article
Assessing a Medium-Run Natural Rate of Interest

The natural rate of interest is the inflation-adjusted interest rate consistent with the economy operating at full capacity. Although this rate helps gauge the economy’s health, empirical estimates of it are imprecise and volatile. A medium-run measure that focuses on responsiveness to persistent economic factors while removing short-term volatility may provide more reliable guidance. Analysis suggests that monetary policy using this measure could stabilize inflation and achieve maximum employment more effectively than standard benchmarks. Current medium-run estimates suggest that monetary ...
FRBSF Economic Letter , Volume 2026 , Issue 22 , Pages 5

Journal Article
The Asymmetric Costs of Misperceiving R-star

The natural rate of interest, or r-star, is used to evaluate whether monetary policy is restrictive or supportive of economic activity. However, this benchmark rate can only be estimated, and policymakers’ misperceptions of the level of the natural rate can carry substantial economic costs in terms of unemployment and inflation. A scenario using mistaken perceptions shows that the costs of overestimating the natural rate are greater than the cost of underestimating it if policy space is limited by the effective lower bound on the nominal federal funds rate.
FRBSF Economic Letter , Volume 2021 , Issue 01 , Pages 01-05

Working Paper
Imperfect Knowledge and the Pitfalls of Optimal Control Monetary Policy

This paper examines the robustness characteristics of optimal control policies derived under the assumption of rational expectations to alternative models of expectations formation and uncertainty about the natural rates of interest and unemployment. We assume that agents have imperfect knowledge about the precise structure of the economy and form expectations using a forecasting model that they continuously update based on incoming data. We also allow for central bank uncertainty regarding the natural rates of interest and unemployment. We find that the optimal control policy derived under ...
Working Paper Series , Paper 2008-09

Working Paper
The Rising Cost of Climate Change: Evidence from the Bond Market

The level of the social discount rate (SDR) is a crucial factor for evaluating the costs ofclimate change. We demonstrate that the equilibrium or steady-state real interest rate isthe fundamental anchor for market-based SDRs. Much recent research has pointed to adecrease in the equilibrium real interest rate since the 1990s. Using new estimates of thisdecline, we document a pronounced downward shift in the entire term structure of SDRsin recent decades. This lower new normal for interest rates and SDRs has substantiallyboosted the estimated economic loss from climate change and the social ...
Working Paper Series , Paper 2020-25

Conference Paper
Jackson Hole 2021 - Low Interest Rates and an Uneven Economy (What Explains the Decline in r*? Rising Income Inequality versus Demographic Shifts)

Proceedings - Economic Policy Symposium - Jackson Hole

Discussion Paper
Are Financial Markets Good Predictors of R‑Star?

Recently, there has been renewed attention on the natural rate of interest—often referred to as “r-star”—and whether it has risen from the historically low levels that prevailed before the COVID-19 pandemic. 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. Some commentators claim that the prior decline in r‑star has reversed, pointing to the recent rise in future real interest rates implied by the bond market. But before declaring the death of this “low ...
Liberty Street Economics , Paper 20250825

Discussion Paper
The R*–Labor Share Nexus

Over the past quarter century, the U.S. economy has experienced significant declines in both the labor share of income and the natural rate of interest, referred to as R*. Existing research has largely analyzed these two developments in isolation. In this post, we provide a simple model that captures the joint evolution of the labor share and R*, which we call the R*–labor share nexus. Our key finding is that structural changes affecting R* also influence the evolution of the labor share, and thereby wages and prices. This highlights a potentially important channel, absent from many ...
Liberty Street Economics , Paper 20260415

Discussion Paper
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: ...
Liberty Street Economics , Paper 20250303

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