Federal Reserve Bank of New York President John Williams on July 3, 2024; & Federal Reserve Governor Chris Waller on September 6, 2024: on the importance of r, the rate of interest that, when the economy is in equipoise, makes Say’s Law of macroeconomic balance true in practice even though it is false in theory; and how the Federal Reserve has over the past seventeen months kept the rate of interest well above what we have very good reason to think is the level of r…
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R-Star: A Global Perspective
July 03, 2024
John C. Williams, President and Chief Executive Officer[, Federal Reserve Bank of New York].
Remarks at the ECB Forum on Central Banking, Sintra, Portugal.
As prepared for delivery <https://www.newyorkfed.org/newsevents/speeches/2024/wil240703>:
For over 125 years, economists have grappled with a dilemma: How can a concept at the very heart of monetary theory be so vexing to quantify? I’m talking, of course, about r-star, the natural rate of interest. The quotations listed in Table 1 reflect the age-old challenges surrounding it.1 Recently, r-star has been in the spotlight once again.
Today, my remarks will focus on longer-run r-star, which is the real interest rate expected to prevail when shocks to the economy have receded and the economy is growing at its potential rate.
Before I go further, I’ll provide the standard Fed disclaimer that the views I express today are mine alone and do not necessarily reflect those of the Federal Open Market Committee (FOMC) or others in the Federal Reserve System.
Three Approaches
Subsequent to Milton Friedman’s claim to the contrary,2 there are now three common approaches to inferring r-star from data: using a statistical method to extract a longer-run trend, basing it on financial market or survey data, or looking at r-star’s effects on economic data. Each provides useful information, but each also poses significant challenges. As discussed in one of my papers with Thomas Laubach, univariate statistical methods do not adequately control for economic factors that influence interest rates. And these estimates can be overly influenced by large macroeconomic disturbances, such as the inflation of the 1970s or the pandemic.3 Financial market and survey data are subject to measurement issues and, in any case, tell us what people are thinking about r-star, rather than act as an independent source of information on r-star. This is what I have referred to as a “hall of mirrors.”4
For these reasons, I will focus my remarks on estimates of r-star gleaned from macroeconomic models that do not rely on financial market or survey data—in particular, the Holston-Laubach-Williams (HLW) model, which infers the natural rate of interest through the behavior of interest rates, inflation, and GDP.5 Or, as the economist John H. Williams put it, “by its works.”6
A Global Supply and Demand for Savings
Our estimates of r-star in the euro area and the United States fell dramatically over the quarter century leading up to the pandemic, and they are currently near the estimates from prior to the pandemic. Figure 1 shows the time series of r-star estimates for the euro area and the United States. I’ll focus first on the euro area.
The estimate of r-star in the euro area is 0.5 percent in 2023, equal to its average over the five years prior to the outbreak of COVID. This assessment of a very low r-star is broadly consistent with analysis by ECB economists using a variety of models.7
The sizable decline in estimates of r-star during the decades prior to the pandemic is common to many advanced and emerging economies. It reflects developments related to the global supply and demand for savings.8 These include falling birth rates and relatively low productivity growth that both reduce demand for savings, as well as increases in longevity and wealth inequality that increase the supply of savings. I emphasize the word global, because in a world of open capital markets, one should expect r-star to be highly correlated across countries. Indeed, there is evidence that r-star estimates are highly interconnected in advanced economies, although local factors play a role as well.9
The role of common and idiosyncratic factors is seen by comparing the estimates for the euro area to those for the United States, also shown in Figure 1. Although the two sets of estimates display some shorter-term wiggles, the dominant shared feature is the sustained two-percentage-point decline in r-star over the past 30 years. The same pattern is true of our estimates for Canada. Hence, according to these estimates, the low r-star regime endures.
Is R-Star Rising?
This finding runs counter to recent commentary suggesting that r-star has risen due to persistent changes in the balance between the supply and demand for savings, such as higher investment in AI and renewable energy, as well as larger government debt. In fact, some measures of longer-run r-star have risen to levels well above those directly prior to the pandemic. For example, market-based measures of five-year, five-year-forward real rates for the euro area and the United States have risen well above the HLW estimates, as shown in Figure 2.
Two things stand out from this figure. First, until recently, far-forward real rates displayed a broadly similar pattern of decline as the model estimates of r-star. Second, the market-based measures are volatile. Indeed, in the years before the recent rise, they had fallen to very low levels, well below the corresponding model estimates. This points to a significant time-varying risk premium, which interferes with taking market-based measures at face value in assessing what markets are telling us about their perceptions of r-star. For example, based on the D’Amico, Kim, and Wei term structure model, the estimated rise in U.S. far-forward expected real yields since the onset of the pandemic is significantly smaller than that implied by a direct read of real yields.10
Where does this leave us regarding r-star? Although the value of r-star is always highly uncertain, the case for a sizable increase in r-star has yet to meet two important tests. First, owing to the interconnectedness of r-star across countries, plausible factors pushing up r-star on a sustained basis are likely to be global in nature. This highlights a tension between the evidence from Europe that r-star is still very low and arguments in the United States that r-star is now closer to levels seen 20 years ago.
Second, any increase in r-star must overcome the forces that have been pushing r-star down for decades.11 In this regard, recent data reinforce the continuation of pre-pandemic trends in global demographics and productivity growth. One lens through which to see this is our model estimates of potential GDP, or y-star, which is a key factor that affects r-star. Many of the explanations arguing for a higher r-star would likely show up in higher potential output growth. However, the HLW estimates of euro area and U.S. trend potential GDP growth in 2023 are nearly unchanged from their respective 2019 values. This is consistent with other estimates of potential GDP growth for the euro area and the United States.12
R-Star and Monetary Policy
I will end with a brief comment on the usefulness of estimates of r-star for policymaking. First, as the Swedish economist Knut Wicksell and others have stressed, r-star is either explicitly or implicitly at the core of any macroeconomic model or framework one can imagine. Pretending it doesn’t exist or wishing it away does not change that. In that context, it is important that we do our best to understand the factors that affect r-star and the uncertainties related to it, so that we have the best understanding possible of the forces affecting the longer-term evolution of the economy.
Second, and equally important, as shown in my work with Athanasios Orphanides, the high degree of uncertainty about r-star means that one should not overly rely on estimates of r-star in determining the appropriate setting of monetary policy at a given point in time.13 Instead, such determinations must be, and are, based on a wide range of information and assessments, including those related to risks.
Presentation
1 The original sources of the quotations are the following:
Knut Wicksell, 1898. Interest and Prices: A Study of the Causes Regulating the Value of Money. Translated by R. F. Kahn, London: Macmillan, published 1936.
Gustav Cassel, 1928. “The Rate of Interest, the Bank Rate, and the Stabilization of Prices,” The Quarterly Journal of Economics 42(4): 511–29.
John H. Williams, 1931. “The Monetary Doctrines of J. M. Keynes,” The Quarterly Journal of Economics 45(4): 547-87.
Milton Friedman, 1968. “The Role of Monetary Policy,” The American Economic Review58(1): 1–17.
Thomas Laubach and John C. Williams, 2003. “Measuring the Natural Rate of Interest,” The Review of Economics and Statistics 85(4): 1063-70.
The first four quotations were originally compiled in Athanasios Orphanides and John C. Williams, 2002. “Robust Monetary Policy Rules with Unknown Natural Rates,” Brookings Papers on Economic Activity, 2: pp. 63-145.
2 Milton Friedman, 1968. “The Role of Monetary Policy,” The American Economic Review 58(1): 1–17.
3 Thomas Laubach and John C. Williams, 2016. “Measuring the Natural Rate of Interest Redux,” Business Economics, 51: 51-67.
4 John C. Williams, 2017. Comment on “Safety, Liquidity, and the Natural Rate of Interest,” by Marco Del Negro, Marc P. Giannoni, Domenico Giannone, and Andrea Tambalotti, Brookings Papers on Economic Activity, 1: pp. 235-316.
5 Kathryn Holston, Thomas Laubach, and John C. Williams, 2017. “Measuring the Natural Rate of Interest: International Trends and Determinants,” Journal of International Economics 559-75; Kathryn Holston, Thomas Laubach, and John C. Williams, 2023. “Measuring the Natural Rate of Interest after COVID-19,” Federal Reserve Bank of New York, Staff Reports, no. 1063.
6 John H. Williams, 1931. “The Monetary Doctrines of J. M. Keynes,” The Quarterly Journal of Economics 45(4): 547-87.
7 Claus Brand, Noëmie Lisack, and Falk Mazelis, 2024. “Estimates of the Natural Interest Rate for the Euro Area: An Update,” European Central Bank, Economic Bulletin, Issue 1, Box 7.
8 See John C. Williams, 2018. “The Future Fortunes of R-star: Are They Really Rising?,” Federal Reserve Bank of San Francisco, FRBSF Economic Letter (May 21).
9 Kathryn Holston, Thomas Laubach, and John C. Williams, 2017. “Measuring the Natural Rate of Interest: International Trends and Determinants,” Journal of International Economics 559-75. Philip Barrett, Christoffer Koch, Jean-Marc Natal, Diaa Noureldin, and Josef Platzer, “The Natural Rate of Interest: Drivers and Implications for Policy,” World Economic Outlook, Chapter 2. International Monetary Fund: April 2023.
10 Stefania D’Amico, Don H. Kim, and Min Wei, 2018. “Tips from TIPS: The Informational Content of Treasury Inflation-Protected Security Prices,” Journal of Financial and Quantitative Analysis, 53(1): 395-436.
11 Or as Ken Rogoff and co-authors have claimed, for centuries. See Kenneth S. Rogoff, Barbara Rossi, and Paul Schmelzing, 2024. “Long-Run Trends in Long-Maturity Real Rates 1311-2022,” American Economic Review (forthcoming).
12 In fact, the HLW estimate of the level of y-star is now close to its pre-pandemic trend in the United States, and only slightly below it in the Euro Area.
13 Athanasios Orphanides and John C. Williams, 2002. “Robust Monetary Policy Rules with Unknown Natural Rates,” Brookings Papers on Economic Activity, 2: pp. 63-145; Athanasios Orphanides and Jhon C. Williams, 2007, Robust monetary policy with imperfect knowledge,” Journal of Monetary Economics, 54 (2007) 1406–1435.
Share Brad DeLong’s Grasping Reality
September 06, 2024
The Time Has Come
Governor Christopher J. Waller
At the University of Notre Dame, Notre Dame, Indiana
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Thank you, Eric, and thank you for the opportunity to speak to you today.1 My topic is the outlook for the U.S. economy and the implications for monetary policy, a set of judgements that have, of course, been influenced by this morning’s jobs report. When I scheduled this speech several months ago, I knew it might be challenging to speak a few hours after the release of such an important piece of data. But we like to say that monetary policy must be nimble, so that means policymakers must be nimble also. Not Simone Biles nimble, but nimble. As you will hear, I believe the data we have received this week reinforces the view that there has been continued moderation in the labor market. In light of the considerable and ongoing progress toward the Federal Open Market Committee’s 2 percent inflation goal, I believe that the balance of risks has shifted toward the employment side of our dual mandate, and that monetary policy needs to adjust accordingly.
Looking back at the economic data over the first six months of 2024, it portrayed an economy slowly cooling and not showing signs of significant weakening. The labor market had been gradually moderating for the past year or so, and although inflation rose in the first quarter, it then retreated in the second, and there was a widespread view heading into the second half of the year that the FOMC was on track to achieve a much desired but unusual “soft landing.”
Then the July jobs report came in unexpectedly soft. Job creation slowed and the unemployment rate increased by two tenths of a percentage point to 4.3 percent, the highest since October 2021. There was speculation that weather-related issues might have distorted these results and, in fact, the unemployment rate ticked down in this morning’s release. But, overall, the August report along with other recent labor data tend to confirm that there has been a continued moderation in the labor market.
The ups and downs in the data over time highlight what I consider the right approach to meeting the FOMC’s dual mandate goals—I believe we should be data dependent, but not overreact to any data point, including the latest data. When we faced a period of banking instability in the spring of 2023, there were calls from some to stop rate hikes despite inflation still running over 5 percent. But there were other tools in hand to deal with that stress, monetary policy did not overreact, and the FOMC continued tightening policy. When inflation fell unexpectedly in the second half of last year, we did not overreact and immediately cut the policy rate. Then when inflation accelerated in the first quarter, we did not overreact and raise rates despite some calls to do so. I will be looking at these last two employment reports in combination with all other data as we head into the September FOMC meeting to decide the best stance of policy. I believe our patience over the past 18 months has served us well. But the current batch of data no longer requires patience, it requires action.
Today’s jobs report continues the longer-term pattern of a softening of the labor market that is consistent with moderate growth in economic activity, the details of which I will get into in a moment. As I said at the outset, considering the progress we have made on getting inflation back to target, I believe that the balance of risks is now weighted more toward downside risks to the FOMC’s maximum-employment mandate.
While the labor market has clearly cooled, based on the evidence I see, I do not believe the economy is in a recession or necessarily headed for one soon. The collective set of economic data indicates to me that the labor market and the economy are performing in a solid manner and the prospects for continued growth and job creation are good, with inflation near 2 percent. I continue to believe that this can occur without substantial harm to the labor market. But I also believe that maintaining the economy’s forward momentum means that, as Chair Powell said recently, the time has come to begin reducing the target range for the federal funds rate.
In the rest of my remarks, I will lay out my reasons for believing that the economy and employment will likely keep growing as inflation moves toward 2 percent. The first of these is the large body of evidence that economic activity is continuing to grow at a solid pace. Real gross domestic product (GDP) grew at a 2.2 percent annual rate in the first half of this year and recent data indicates that growth is continuing at around this pace in the third quarter.
Retail sales were stronger than expected in July and showed that households continue to spend as their finances, in the aggregate, remain healthy. The increase was fairly broad based across goods categories. While many online retailers offered discounts last month, this was not a dominant factor in the solid results. Although manufacturing output fell in July and the August Institute for Supply Management manufacturing survey pointed to weak production and new orders, the similar survey for the larger, nonmanufacturing sector was consistent with a modest expansion of activity.
As for the labor market, on balance, the data that we have received in the past three days indicates to me that the labor market is continuing to soften but not deteriorate, and this judgement is important to our upcoming decision on monetary policy. As I said earlier, Wednesday’s report on job openings in July was consistent with a moderating labor market. Meanwhile, the four-week moving average of initial claims for unemployment insurance has risen gradually since January but has changed little on net in the past two months, with initial claims remaining fairly low.
The jobs report for August, released this morning, supported the story of ongoing moderation in the labor market. After rising to 4.3 percent in July, the unemployment rate ticked down to 4.2 percent in August. Taking a longer perspective, the unemployment rate over the past 16 months has increased gradually but fairly steadily from 3.4 percent to 4.2 percent in today’s release. Payrolls rose by 142,000 in August compared with 89,000 in July, leaving the three-month average payroll gain at 116,000, compared with the 267,000 average in the first quarter and 147,000 in the second. Accounting for revisions to the jobs numbers that we received in August, that level is a bit below what I see as the breakeven pace for job creation that absorbs new entrants to the workforce and keeps the unemployment rate constant.2
July marked the first time that the three-month average unemployment rate has increased by at least a half of a percentage point above its 12-month low, which was 3.6 percent in July 2023. This breached a threshold established by the Sahm rule, which observes that when this has occurred in the past, it has been a reliable indicator of the economy entering a recession.
While this is a correlation that certainly bears attention, I want to make a few cautionary points about relying on such rules in deciding that a recession has begun. As we have seen in the recent past with other supposedly reliable recession rules, such as an inverted yield curve, there is more to forecasting economic outcomes than the relationships between a couple of variables.
First, these rules are nothing more than a mechanical, statistical description of past economic outcomes—they do not seek to explain what economic forces drive the relationship between the data, nor are they based on the totality of economic data. All recessions rules do is pick up a correlation between movements in economic data and the dates of recessions or other outcomes. A second point is that, setting aside the unusual circumstances of the 1981–82 recession, recessions occur when a major shock hits the economy.3 In the absence of a big negative shock, an inversion of the yield curve or a triggering of the Sahm rule doesn’t necessarily mean we are entering a recession.
Third, recession rules typically pick up demand-driven recessions. But this is not why unemployment is rising now. GDP forecasts for the current quarter all show solid growth, labor market data show lay off rates are stable, and consumer spending is growing at a healthy rate. These data suggest demand is fairly strong. Instead, most of the increase in the unemployment rate is from workers entering the labor force and not finding jobs right away. So, the recent rise in the unemployment rate appears to be more of a supply-side-driven phenomenon, not demand driven.
And lastly, it should be clear to everyone that many pre-pandemic economic relationships have not proven to be good policy guides post-pandemic. Reliance on old lessons from inverted yield curves to predict a recession, a Phillips curve to predict inflation, or a flat Beveridge curve to predict the movement in the unemployment rate have all led to mistaken economic forecasts.
While I don’t see the recent data pointing to a recession, I do see some downside risk to employment that I will be watching closely. But at this point, I believe there is substantial evidence that the economy retains the strength and momentum to keep growing, supported by an appropriate loosening of monetary policy.
Let me now turn to the outlook for inflation. With the labor market cooling, it doesn’t surprise me that wage growth has slowed to a pace consistent with the FOMC’s price-stability goal, and this is supporting ongoing progress toward that objective. The employment cost index grew at an annualized rate of 3.5 percent from March to June, and the 12-month change was 3.9 percent for private sector workers, the lowest since late 2021.4 Average hourly earnings, reported in today’s jobs report, rose at a three-month annualized pace of 3.8 percent in August, the same as the 12-month change.
Inflation in July continued to show progress toward the FOMC’s goal. The price index for personal consumption expenditures (PCE), the Committee’s preferred inflation measure, increased at a monthly pace of 0.2 percent in July for both total and core PCE inflation. Core PCE inflation, which excludes volatile food and energy prices, is a good guide to underlying inflation, and it increased 2.7 percent over the past 12 months. Given the downward trajectory of monthly readings, I also look at the 6- and 3-month annualized rate. These stand at 2.6 percent and 1.7 percent, respectively. These numbers are good news and suggest that our restrictive policy stance has put us on the right path to attain our 2 percent inflation target.
Looking across the components of inflation, one can see the breadth of the disinflation. Over 50 percent of categories in the total and core market baskets had annualized monthly inflation less than 2.5 percent in August. In fact, the index of core goods prices has reverted to its historical pattern of slight deflation, reflecting normalized supply after the disruptions of the pandemic as well as ongoing technological and productivity advances. Meanwhile, services price inflation has slowed as wage growth has slowed, since labor is a large input for much of the service sector. Overall, I see significant and ongoing progress toward the FOMC’s inflation goal that I expect will continue over the remainder of this year.
Now let me discuss the implications of this outlook for monetary policy. As I said at the outset, considering the achieved and continuing progress on inflation and moderation in the labor market, I believe the time has come to lower the target range for the federal funds rate at our upcoming meeting. Reducing the policy rate now is consistent with many versions of the Taylor rule, which suggest reducing the policy rate is appropriate given the data in hand.
Furthermore, I do not expect this first cut to be the last. With inflation and employment near our longer-run goals and the labor market moderating, it is likely that a series of reductions will be appropriate. I believe there is sufficient room to cut the policy rate and still remain somewhat restrictive to ensure inflation continues on the path to our 2 percent target.
Determining the appropriate pace at which to reduce policy restrictiveness will be challenging. Choosing a slower pace of rate cuts gives time to gradually assess whether the neutral rate has in fact risen, but at the risk of moving too slowly and putting the labor market at risk. Cutting the policy rate at a faster pace means a greater likelihood of achieving a soft landing but at the risk of overshooting on rate cuts if the neutral rate has in fact risen above its pre-pandemic level. This would cause an undesired loosening of monetary policy.
Determining the pace of rate cuts and ultimately the total reduction in the policy rate are decisions that lie in the future. As of today, I believe it is important to start the rate cutting process at our next meeting. If subsequent data show a significant deterioration in the labor market, the FOMC can act quickly and forcefully to adjust monetary policy. I am open-minded about the size and pace of cuts, which will be based on what the data tell us about the evolution of the economy, and not on any pre-conceived notion of how and when the Committee should act. If the data supports cuts at consecutive meetings, then I believe it will be appropriate to cut at consecutive meetings. If the data suggests the need for larger cuts, then I will support that as well. I was a big advocate of front-loading rate hikes when inflation accelerated in 2022, and I will be an advocate of front-loading rate cuts if that is appropriate. Those decisions will be determined by new data and how it adds to the totality of the data and shapes my understanding of economic conditions. While I expect that these cuts will be done carefully as the economy and employment continue to grow, in the context of stable inflation, I stand ready to act promptly to support the economy as needed.
1. The views expressed here are my own and are not necessarily those of my colleagues on the Federal Reserve Board or the Federal Open Market Committee. Return to text
2. The preliminary estimate of the annual benchmark revision to the establishment survey data, which was announced on August 21, suggests that payroll growth between April 2023 and March 2024 will likely be revised down early next year by about 68,000 per month on average. The implications for payroll growth beyond March are less clear. Return to text
3. The 1981–82 recession was triggered by tight monetary policy in an effort to fight mounting inflation. For more information about this recession, see Federal Reserve History. Return to text
4. The employment cost index is a valuable measure of compensation growth because it covers non-wage benefits and accounts for shifts in the shares of workers in different occupations and industries. Return to text
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