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Data Transformations Reference

Quick reference guide for all available FRED data transformations.

Transformation Codes

CodeNameFormulaUse Case
linLevelsx_tRaw values
chgChangex_t - x_Period change
ch1Change YoYx_t - x_Annual change
pch% Change((x_t/x_)-1)*100Growth rate
pc1% Change YoY((x_t/x_)-1)*100Annual growth
pcaAnnual Rate(((x_t/x_)^n)-1)*100Annualized
cchLog Change(ln(x_t)-ln(x_))*100Log returns
ccaLog Annual(ln(x_t)-ln(x_))*100Annual log
logNatural Logln(x_t)Log levels

Selection Guide

By Data Type

Flow Variables (rates, prices):
  • Use: pch, pc1, pca
  • Example: Inflation, interest rates
Stock Variables (levels, balances):
  • Use: chg, ch1
  • Example: Employment, inventories
Financial Returns:
  • Use: cch, log
  • Example: Stock prices, exchange rates

Common Mistakes

Don’t:
  • Transform already-transformed series
  • Mix frequencies when comparing
  • Ignore seasonal adjustment
Do:
  • Check original units
  • Use consistent transformations
  • Document your choices

Next Steps