Economics-Watching: Multivariate Core Trend Inflation

[from the Federal Reserve Bank of New York]

Overview

The Multivariate Core Trend (MCT) model measures inflation’s persistence in the seventeen core sectors of the personal consumption expenditures (PCE) price index.

Whether inflation is short-lived or persistent, concentrated in a few sectors or broad-based, is of deep relevance to policymakers. We estimate a dynamic factor model on monthly data for the major sectors of the personal consumption expenditures (PCE) price index to assess the extent of inflation persistence and its broadness. The results give a measure of trend inflation and shed light on whether inflation dynamics are dominated by a trend common across sectors or are sector-specific.

The New York Fed updates the MCT estimates and share sectoral insights at or shortly after 2 p.m. on the first Monday after the release of personal consumption expenditures (PCE) price index data from the Bureau of Economic Analysis. Data are available for download.

September 2023 Update

  • Multivariate Core Trend (MCT) inflation was 2.9 percent in September, a 0.3 percentage point increase from August (which was revised up from 2.5 percent). The 68 percent probability band is (2.4, 3.3).
  • Services ex-housing accounted for 0.54 percentage point (ppt) of the increase in the MCT estimate relative to its pre-pandemic average, while housing accounted for 0.50 ppt. Core goods had the smallest contribution, 0.03 ppt.
  • A large part of the persistence in housing and services ex-housing is explained by the sector-specific component of the trend.

Latest Release: 2:00 p.m. ET October 31, 2023

View the Multivariate Core Trend of PCE Inflation data here.

Frequently Asked Questions

What is the goal of the Multivariate Core Trend (MCT) analysis?

The New York Fed aims to provide a measure of inflation’s trend, or “persistence,” and identify where the persistence is coming from.

What data are reported?

The New York Fed’s interactive charts report monthly MCT estimates from 1960 to the present. The New York Fed also provides estimates of how much three broad sectors (core goods, core services excluding housing, and housing) are contributing to overall trend inflation over the same time span. The New York Fed further distinguishes whether the persistence owes to common or sector-specific components. Data are available for download.

What is the release schedule?

The New York Fed updates the estimate of inflation persistence and share sectoral insights following the release of PCE price data from the U.S. Bureau of Economic Analysis each month.

What is the modeling strategy?

A dynamic factor model with time-varying parameters is estimated on monthly data for the seventeen major sectors of the PCE price index. The model decomposes each sector’s inflation as the sum of a common trend, a sector-specific trend, a common transitory shock, and a sector-specific transitory shock. The trend in PCE inflation is constructed as the sum of the common and the sector-specific trends weighted by the expenditure shares.

The New York Fed uses data from all seventeen of the PCE’s sectors; however, in constructing the trend in PCE inflation, we exclude the volatile non-core sectors (that is, food and energy). The approach builds on Stock and Watson’s 2016 “Core Inflation and Trend Inflation.”

How does the MCT measure differ from the core personal consumption expenditures (PCE) inflation measure?

The core inflation measure simply removes the volatile food and energy components. The MCT model seeks to further remove the transitory variation from the core sectoral inflation rates. This has been key in understanding inflation developments in recent years because, during the pandemic, many core sectors (motor vehicles and furniture, for example) were hit by unusually large transitory shocks. An ideal measure of inflation persistence should filter those out.

PCE data are subject to revision by the Bureau of Economic Analysis (BEA). How does that affect MCT estimates?

BEA monthly revisions as well as other BEA periodic revisions to PCE price data do lead to reassessments of the estimated inflation persistence as measured by the MCT estimates. Larger revisions may lead to a more significant reassessment. A recent example of the latter case is described on Liberty Street Economics in “Inflation Persistence: Dissecting the News in January PCE Data.”

Historical estimates in our MCT data series back to 1960 are based on the latest vintage of data available and incorporate all prior revisions.

How does the MCT Inflation measure relate to other inflation measures?

The MCT model adds to the set of tools that aim at measuring the persistent component of PCE price inflation. Some approaches, such as the Cleveland Fed’s Median PCE and the Dallas Fed’s Trimmed Mean, rely on the cross-sectional distribution of price changes in each period. Other approaches, such as the New York Fed’s Underlying Inflation Gauge (UIG), rely on frequency-domain time series smoothing methods. The MCT approach shares some features with them, namely: exploiting the cross-sectional distribution of price changes and using time series smoothing techniques. But the MCT model also has some unique features that are relevant to inflation data. For example, it allows for outliers and for the noisiness of the data and for the relation with the common component to change over time.

How useful can MCT data be for policymakers?

The MCT model provides a timely measure of inflationary pressure and provides insights on how much price changes comove across sectors.

View the Multivariate Core Trend of PCE Inflation data here.

Looking Backwards and Forwards at the Same Time

Janus and Bi-Directional Smarts

The Roman god Janus looks backwards and forwards at the same time and learning to be somewhat Janus-like is very conducive in the metaintelligence (i.e., larger overview) quest.

There’s a useful French phrase, “reculer pour mieux sauter” which means like a high jumper, you have to take steps backwards to jump higher. In other words, learn to look bi-directionally at the world.

First look back, then forward.

Here’s a concrete example:

W. Arthur Lewis, the “father” of development economics, originally from the Caribbean, taught at Princeton. He won the Nobel in 1979 and wrote various classics such as Growth and Fluctuations, 1870-1913 (1978).

Lewis writes:

In this book we shall not be attempting to give formal or complete explanations of why fluctuations occurred. Like the captain of a ship navigating in stormy seas, we shall need to identify the waves, without needing an exhaustive theory of what causes waves.

When analyzing these fluctuations economists have identified four different cycles, distinguished by length of periodicity, each of which is named after the economist who first wrote about it:

the Kitchin (about three years)
the Juglar (about nine years)
the Kuznets (about twenty years)
the Kondratiev (about fifty years)

(W. Arthur Lewis, Growth and Fluctuations, 1870-1913, 1978, page 19)

Lewis gives us a quick overview of how we got to the era covered by his book:

“The essence of the industrial and agricultural revolutions in the first three quarters of the nineteenth century was in new ways of doing old things—of making iron, textiles and clothes, of growing cereals, and of transporting goods and services. In the last quarter of the nineteenth century the revolution added a new twist—that of making new commodities: telephones, gramophones, typewriters, cameras, automobiles and so on, a seemingly endless process whose twentieth century additions include aeroplanes, radios, refrigerators, washing machines and pleasure boats.”

(Growth and Fluctuations, 1870-1913, page 29)

Professor Norman Stone in his masterpiece on WWI calls this late nineteenth century explosion of material change and inventions the greatest fast quantum leap in world history in transforming the world.

If one reads these lines with a “Janus mind” we wonder, looking forward from the Lewis book and its era:

  1. How does his catchy metaphor of waves in the ocean relate to fluctuations and cycles? When Ben Bernanke (Fed Chair) describes recent decades as “The Great Moderation” does he mean to imply that Lewis-type waves disappeared or got much smaller?
  2. Can computers and mobile phones really match cars and planes in profundity of impact? Or is it only the tremendous spread of mobile or smartphones in the Global South that can?

In fact, the recent economic history classic, Robert Gordon’s The Rise and Fall of American Growth argues against the assumption of endless technical change as a growth accelerator or endless frontier:

In the century after the Civil War, an economic revolution improved the American standard of living in ways previously unimaginable. Electric lighting, indoor plumbing, home appliances, motor vehicles, air travel, air conditioning, and television transformed households and workplaces. With medical advances, life expectancy between 1870 and 1970 grew from 45 to 72 years. Weaving together a vivid narrative, historical anecdotes, and economic analysis, The Rise and Fall of American Growth provides an in-depth account of this momentous era. But has that era of unprecedented growth come to an end?

Gordon challenges the view that economic growth can or will continue unabated, and he demonstrates that the life-altering scale of innovations between 1870 and 1970 can’t be repeated. He contends that the nation’s productivity growth, which has already slowed to a crawl, will be further held back by the vexing headwinds of rising inequality, stagnating education, an aging population, and the rising debt of college students and the federal government. Gordon warns that the younger generation may be the first in American history that fails to exceed their parents’ standard of living, and that rather than depend on the great advances of the past, we must find new solutions to overcome the challenges facing us.

A critical voice in the debates over economic stagnation, The Rise and Fall of American Growth is at once a tribute to a century of radical change and a harbinger of tougher times to come.

  1. Why does one not read of the four cycles mentioned by Lewis (i.e., Kitchin) and the rest listed above in today’s business and financial press? Has there been some great discontinuity?

If you apply a “Janus mind” to the past (described by Lewis) and our sense of the future (described by techno-pessimists like Gordon) you get a more thoughtful sense of “the human prospect.”