The authors estimate the dimension of high-frequency stock-price data using the correlation integral of P. Grassberger and I. Procaccia. The data, even after filtering, appear to be of low dimension. To control for dependence in higher moments, the authors use a new technique known as the method...

This paper considers whether the Plaza Agreement of September 1985 marked the beginning of a fundamental shift in the exchange-rate policy regime for the United States, the former West Germany, and Japan. The paper uses a simple monetary model of the open economy to illustrate how the exchange...

This paper examines maximum likelihood estimation via hill climbing and the expectations maximization (EM) algorithm in the context of Hamilton's Markov switching framework. The techniques are explained in detail and are followed by a discussion of both analytic and computational issues. Both...

There is now considerable evidence that business cycle variation in output and employment in the U.S. differs in expansions and contractions. We present nonparametric evidence that asymmetries are strongest in durable goods manufacturing. In a Markov switching framework, we find two leading...

Option prices seem to behave in ways inconsistent with the Black-Scholes model. Implied volatility varies with the strike price in a parabolic shape that is often called the volatility "smile." My objective in this paper is to identify implied probability distributions that might explain this...

Financial markets embed expectations of central bank policy into asset prices. This paper compares two approaches that extract a probability density of market beliefs. The first is a simulated moments estimator for option volatilities described in Mizrach (2002); the second is a new approach...

This entry for the New Palgrave covers developments in nonlinear time series analysis over the last 25 years.

This paper examines a variety of methods for extracting implied probability distributions from option prices and the underlying. The paper first explores non-parametric procedures for reconstructing densities directly from options market data. I then consider local volatility functions, both...

The Enron Corporation went from a $65 billion dollar market capitalization to bankruptcy in just 16 months. Using statistical techniques for extracting the implied probability distributions built into option prices, I examine the market's expectation of Enron's risk of collapse. I find that the...

This article is a video presentation of an interview with Buz Brock at the 12th SNDE conference in Atlanta Georgia on March 12, 2004. The interview includes 15 questions on topics ranging from nonlinear dynamics, ecological modeling, and heterogenous agents.