Campbell and Vuolteenaho (CV, 2004) empirically decompose the S&P 500's dividend yield from 1927 to 2002 to derive a measure of residual mispricing attributed to inflation illusion. They argue that the strong positive correlation between the mispricing component and inflation is strong evidence...

I find that nominal equity returns respond to unexpected inflation more negatively during contractions than expansions. In particular, returns on firms with lower book-to-market ratio, or of medium size, demonstrate strong asymmetric correlations with unexpected inflation across the business...