A limit theory is developed for the least squares estimator for mildly and purely explosive autoregressions under drifting sequences of parameters with autoregressive roots ρn satisfying ρn → ρ ∈ (-∞, -1] ∪ [1, ∞) and n (|ρn| -1) → ∞. Drifting sequences of innovations and...

We document that even though the normal distribution provides a good approximation to GDP fluctuations, it severely underpredicts “macroeconomic tail risks,” that is, the frequency of large economic downturns. Using a multi-sector general equilibrium model, we show that the interplay of...

We document that even though the normal distribution provides a good approximation to GDP fluctuations, it severely underpredicts "macroeconomic tail risks," that is, the frequency of large economic downturns. Using a multi-sector general equilibrium model, we show that the interplay of...