February 25, 2022

Monthly Distributions – PCE January 2022

Details

The distribution of MoM % changes (Figure 1) suggests that positive and negative outliers have been more frequent in the last 12 months compared to pre-Covid. The fitted Kernel density (Figure 2) shows a thicker right tail in the last 12 months, indicating that price increases have been more frequent and larger than just the outliers in the right tail.

If we look at the percentiles, in January the left tail was relatively stable but 50th, 75th, and 90th percentile moved up notably. Price dispersion (captured by the cross sectional standard deviation) was relatively low and stable (which is not necessarily encouraging for the Fed because it is combined with a strong median reading).

Importantly, as already mentioned, the median moved up from 4.6% (MoM a.r.) in December to 6.3% (MoM a.r.) in January.

In details (MoM a.r.):

  • The 5th   pct is -29.2% (-24.6% in Dec)
  • The 10th pct is -15.5% (-15.8% in Dec)
  • The 25th pct is -1.8%   (-1.6% in Dec)
  • The 50th pct is 6.3% (4.6% in Dec)
  • The 75th  pct is 14.1%  (9.5% in Dec)
  • The 90th pct is 32.2% (21.2% in Dec)
  • The 95th pct is 39.1% (39.1% in Dec)

The recent shift of the distribution is visible by looking at Figure 4, which plots the distribution of price changes in the last 3 months compared to the previous two quarters. In the last three months (black line in Figure 4) the distribution shows a lower left tail and a thicker right tail (especially in the 5%-15% range).

The on-going increase of the p50 is reflected in the MA(12) of the median (Figure 5) that increased to 3.4% in January (from 3.1% in December), the highest reading in the last 25 years (and a bit higher than our expectations after the CPI report).

Implications    for the Fed staff

The Fed Board staff is typically not surprised by core PCE prices because the staff can largely anticipate the reading once it has CPI and PPI data in hand. Having said so. as described above, today’s data showed strong readings around the median of the distribution (at 6.3% a.r.). 

In our view the Fed staff has probably revised its near-term forecast up a touch for the next 3 months (from about 35bps per month to 38bps per month). In our view, the risks around this near-term forecast are balanced.

Figures

Figure 1. Distribution of MoM changes (PCE prices ex FE, % a.r.)

Note: the Figure shows the distribution of MoM percent changes at annual rate of PCE prices excluding food and energy items.

Figure 2. Kernel of PCE price changes excluding food and energy items (%, a.r.)

Note: the Figure shows the fitted Kernel (Epanechnikov) distribution of MoM percent changes at annual rate of PCE prices excluding food and energy items.

Figure 3. Percentiles and Standard Deviation of the distribution of MoM changes (PCE prices ex FE, % a.r.)

Note: the Figure shows the MA(12) of the distribution percentiles of PCE prices changes excluding food and energy items (left panel), and the cross-sectional standard deviation (right panel).

Figure 4. Kernel of PCE price changes excluding food and energy items (%, a.r.)

Note: the Figure shows the fitted Kernel (Epanechnikov) distribution of MoM percent changes at annual rate of PCE prices excluding food and energy items (for a total of 183 items).

Figure 5. MA(12) of median price increase (%, a.r.)

Note: the Figure shows the MA(12) of the median of the distribution of PCE prices changes excluding food and energy items.

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Disclaimer

Trezzi consulting is a Swiss registered firm that offers independent economic and statistical consulting services. Trezzi consulting does not have access to any classified information of any central bank, including the Federal Reserve. All econometric and statistical models included in the packages are either developed in-house or they are based on publicly available documents such as papers and notes.