In addition to the CPI, we have the chained CPI, the employees CPI, the HICP, a nowcast for personal consumption expenditures, as well as the market-based CPI for May. All four price indices for June are down.
Figure 1: CPI for all urban sectors (bold black), CPI for employees and clerical workers (pink), chained CPI (beige), HICP (green), household consumption expenditure deflator (red), market-based PCE (light blue), all seasonally adjusted, in logarithms 2021M01=0. Chained CPI, HICP seasonally adjusted by the author using X-13 (log transformation). Source: BLS, BEA, via FRED, and author’s calculations.