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We propose a long-run risk model with stochastic volatility, a time-varying mean reversion level of volatility, and jumps in the state variables. The special feature of our model is that the jump intensity is not affine in the conditional variance but driven by a separate process. We show that this separation of jump risk from volatility risk is needed to match the empirically weak link between the level and the slope of the implied volatility smile for S&P 500 options.
We study the general equilibrium implications of different fiscal policies on macroeconomic quantities, asset prices, and welfare by utilizing two endogenous growth models. The expanding variety model features only homogeneous innovations by entrants. The Schumpeterian growth model features heterogeneous innovations: "incremental" innovations by incumbents and "radical" innovations by entrants. The government levies taxes on labor income and corporate profits and supplies subsidies to consumption, capital investment, and investments in research and development by entrants and, if applicable, incumbents. With these models at hand, we provide new insights on the interplay of innovation dynamics and fiscal policy.