Do real assets protect against inflation? Stocks’ core inflation betas are negative, while their energy betas are positive. Currencies, commodities, and real estate mostly hedge against energy inflation, but not core inflation. These hedging properties are reflected in the prices of inflation risks: only core inflation carries a negative risk premium, and its magnitude is consistent within and across asset classes, uniquely among macroeconomic risk factors. Energy inflation has become more procyclical and volatile since the 1990s, which helps explain the time-varying correlation between stock and bond returns. A two-sector New Keynesian asset pricing model accounts for these facts quantitatively.

We develop a novel measure of volatility pass-through to assess international propagation of output volatility shocks to macroeconomic aggregates, equity prices, and currencies. An increase in country’s output volatility is associated with a decrease in its output, consumption, and net exports. The average consumption pass-through is 50% (a 1% increase in output volatility increases consumption volatility by 0.5%) and it increases to 70% for shocks originating in smaller countries. The equity volatility pass-through is larger and in the order of 90%. A novel channel of risk sharing of volatility risks can explain our empirical findings.