This paper describes a method for solving heterogeneous agent models with aggregate risk and many idiosyncratic states formulated in discrete time. It extends the method proposed by Reiter (2009) and complements recent work by Ahn, Kaplan, Moll, Winberry, and Wolf (2017) on how to solve such...

The cross-sectional dispersion of firm-level investment rates is procyclical. This makes investment rates different from productivity, output, and employment growth, which have countercyclical dispersions. A calibrated heterogeneous-firm business cycle model with nonconvex capital adjustment...

We consider the problem of optimizing the expected logarithmic utility of the value of a portfolio in a binomial model with proportional transaction costs with a long time horizon. By duality methods, we can find expressions for the boundaries of the no-trade-region and the asymptotic optimal...

<title>Abstract</title>We consider the three-factor double mean reverting (DMR) option pricing model of Gatheral [<italic>Consistent Modelling of SPX and VIX Options</italic>, 2008], a model which can be successfully calibrated to both VIX options and SPX options simultaneously. One drawback of this model is that calibration...

Cubature methods, a powerful alternative to Monte Carlo due to Kusuoka [<italic>Adv. Math. Econ</italic>., 2004, <bold>6</bold>, 69--83] and Lyons--Victoir [<italic>Proc. R. Soc. Lond. Ser. A</italic>, 2004, <bold>460</bold>, 169--198], involve the solution to numerous auxiliary ordinary differential equations (ODEs). With focus on the Ninomiya--Victoir...

We provide evidence on life-cycle and business-cycle fluctuations in the dispersion of household-level wage innovations, comparing the US, the UK, and Germany. First, we find that household characteristics explain about 25% of the dispersion in wages within an age group in all three countries....

Are shocks to firms' profitability risk, propagated by physical capital adjustment costs, a major source of business cycle fluctuations? This paper studies this question using a heterogeneous-firm dynamic stochastic general equilibrium model, where firms face fixed capital adjustment costs....