Economics Insights @ CBS

The stochastic differential equations for affine jump diffusion models do not yield exact solutions that can be directly simulated. Discretization methods can be used for simulating security prices under these models. However, discretization introduces bias into the simulation results and a large number of time steps may be needed to reduce the discretization bias to an acceptable level. This paper suggests a method for the exact simulation of the stock price and variance under Heston's stochastic volatility model and other affine jump diffusion processes.

We examine the effects of both equity market liberalization and capital account openness on real consumption growth variability. We show that financial liberalization is mostly associated with lower consumption growth volatility. Our results are robust, surviving controls for business-cycle effects, economic and financial development, the quality of institutions, and other variables. Countries that have more open capital accounts experience a greater reduction in consumption growth volatility after equity market openings.

Records of over half a million participants in more than 600 401(k) plans indicate that participants tend to allocate their contributions evenly across the funds they use, with the tendency weakening with the number of funds used. The number of funds used, typically between three and four, is not sensitive to the number of funds offered by the plans, which ranges from 4 to 59. A participant?s propensity to allocate contributions to equity funds is not very sensitive to the fraction of equity funds among offered funds.

*Winner, Distinguished Paper award of the Smith-Breeden Prize.