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...

This paper analyzes the effects that uncertainty about economic fundamentalshas on aggregate trading volume. First, the trading volume of an investor facinga standard consumption portfolio choice problem is derived. It is found that if theparameters describing the investment opportunity set...

Theories of investment suggest that the option value of waiting to invest is significant in many branches of economics, where investment is irreversible. The existing literature has generally failed to account for the general equilibrium feedback effects of lumpy investments on optimal...

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...

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...

This paper considers a new class of Monte Carlo methods that are combined with PDE expansions for the pricing and hedging of derivative securities for multidimensional diffusion models. The proposed method combines the advantages of both PDE and Monte Carlo methods and can be directly applied to...

We analyse questions of arbitrage in financial markets in which asset prices change in time as stationary stochastic processes. The main focus of the paper is on a model where the price vectors are independent and identically distributed. In the framework of this model, we find conditions that...

According to the traditional view held in finance returns of assets are determined by complete rationality of decision makers. Rational decisions are defined by a set of axioms that are universal and do not leave room for cultural differences. In this article we show that cultural differences do...

Economists have forcefully argued for the introduction and use of property derivatives as a hedge against house price risk (e.g. Shiller and Weiss, 1999). The rationale for these financial instruments seems clear, as many households are heavily invested in housing and standard financial...