The "histogram method" (Young, 2010), while the standard approach for analyzing distributional dynamics in heterogeneous agent models, is linear in optimal policies. We introduce a novel method that captures nonlinearities of distributional dynamics. This method solves the distributional...

I investigate whether the popular Krusell and Smith algorithm used to solve heterogeneousagent economies with aggregate uncertainty and incomplete markets is likely to be subject to multiple self-fulfilling equilibria. In a benchmark economy, the parameters representing the equilibrium aggregate...

We consider a real business cycle model with a productive externality and an aggregate non- convex technology set µa la Benhabib and Farmer embodying capacity utilization, which exhibits indeterminacy of the steady state and multiplicity of deterministic equilibria under plausible values of the...

The finite state Markov-Chain approximation method developed by Tauchen (1986) and Tauchen and Hussey (1991) is widely used in economics, finance and econometrics in solving for functional equations where state variables follow an autoregressive process. For highly persistent processes, the...

This paper is (over the formulas) self explaining . The measurement of economies no longer by GDP alone, but by an Index that includes other important factors as well, a So-cial factors relativized GDP. This index cuts out the part of the GDP that is long term fro-zen up by social transfers...

The following sections are included:The Model

The following sections are included:IntroductionProblem Statement — The Heston ModelFinding the Density Function using Integral TransformsSolution for the American Call OptionNumerical Scheme for the Free SurfaceConclusionAppendixProof of Proposition 5.8 — The European Option PriceEvaluation...

In this chapter we shall drop the stochastic volatility component from the dynamics by assuming that the variance is constant and merely discuss how to handle the jump term in the transform approach. Option pricing under jump-diffusion dynamics was originally investigated by Merton (1976) for...

This book has explored the pricing of American options. It has focused in particular on American call options but the techniques are generally applicable. We started in Chapter 2 with the case of the underlying asset dynamics following a jump-diffusion and stochastic volatility process…

The American option pricing problem has been explored in great depth in the option pricing literature. The survey by Barone-Adesi (2005) provides an overview of this research for the case of the American put under the classical Brownian motion process for asset returns…