We disentangle the risk of time-varying volatility and return in a consumption-based asset pricing model by introducing stochastic volatility of consumption growth to asset prices moving in volatility units instead of moving in time. This time-change approach yields additional insights to risk...

In a consumption based asset pricing model one can calculate the volatility of (log-)consumption-growth from the expected market return and from the risk-free rate. We propose to use the difference between these estimates to measure ambiguity about consumption volatility. Using a long dataset we...