Financial markets are typically characterized by high (low) price level and low (high) volatility during boom (bust) periods, suggesting that price and volatility tend to move together with different market conditions/states. By proposing a simple heterogeneous agent model of fundamentalists and...

Standard Fama-French and Carhart models produce economically and statistically significant nonzero alphas even for passive benchmark indices such as the S&P 500 and Russell 2000. We find that these alphas primarily arise from the disproportionate weight the Fama-French factors place on small...

Substantial progress has been made in extending the Black-Scholes model to incorporate such features as stochastic volatility, stochastic interest rates and jumps.On the empirical front, however, it is not yet known whether and by how much each generalized feature will improve option pricing and...

Substantial progress has been made in extending the Black- Scholes model to incorporate such features as stochastic volatility, stochastic interest rates and jumps. On the empirical front, however, it is not yet known whether and by how much each generalized feature will improve option pricing...

This article empirically analyzes some properties shared by all one-dimensional diffusion option models. Using S&P 500 options, we find that when sampled intraday (or inter-day), (i) call (put) prices often go down (up) even as the underlying price goes up, and (ii) call and put prices often...

Recent empirical studies find that once an option pricing model has incorporated stochastic volatility, allowing interest rates to be stochastic does not improve pricing or hedging any further while adding random jumps to the modeling framework only helps the pricing of extremely short-term...

In the years following the publication of Black and Scholes [7], numerous alternative models have been proposed for pricing and hedging equity derivatives. Prominent examples include stochastic volatility models, jump diffusion models, and models based on Levy processes. These all have their own...

Arguments for creating a market to allow trading the portfolio of all endowments in the entire world, the "market portfolio," are considered. This world share market would represent a radical innovation, since at the present time only a small fraction of world endowments are traded. Using a...

The paper discusses the problem of hedging not perfectly replicable contingent claims by using a benchmark, the numerraire portfolio, as reference unit. The proposed concept of benchmarked risk minimization generalizes classical risk minimization, pioneered by Follmer, Sondermann and Schweizer....

This paper investigates the sensitivity of asset and portfolio price volatility with respect to the minimum available trading interval that the price is quoted. The objective of the study is to find the theoretical impact of high frequency trading on asset and portfolio volatilities, using a...