Based on criteria of mathematical simplicity and consistency with empirical market data, a stochastic volatility model is constructed, the volatility process being driven by fractional noise. Price return statistics and asymptotic behavior are derived from the model and compared with data....

A stochastic model for pure-jump diffusion (the compound renewal process) can be used as a zero-order approximation and as a phenomenological description of tick-by-tick price fluctuations. This leads to an exact and explicit general formula for the martingale price of a European call option. A...

In this paper we investigate the effects of uncertainty shocks on economic activity using a Dynamic Stochastic General Equilibrium (DSGE) model with heterogenous agents and a stylized banking sector. We show that frictions in credit supply amplify the effects of uncertainty shocks on economic...

This chapter provides an overview over the recently developed so called multifractal (MF) approach for modeling and forecasting volatility. We outline the genesis of this approach from similar models of turbulent flows in statistical physics and provide details on different specifications of...

This paper compares the aggregate effects of sectoral reallocation in the United States and Western Germany using a stochastic volatility model of sectoral employment growth. Reallocative shocks have no effect on the natural rate of unemployment in either country, and there is mild evidence that...

In this paper, I estimate a series of long run reallocative shocks to sectoral employment using a stochastic volatility model of sectoral employment growth for the United States from 1960 through 2011. Reallocative shocks (which primarily measure construction and technology busts) have little...