This paper examines the pricing of options by approximating extensions of the Black-Scholes setup in which volatility follows a separate diffusion process. It gereralizes the well-known binomial model, constructing a discrete two-dimensional lattice. We discuss convergence issues extensively and...

Viewing binomial models as a discrete approximation of the respective continuous models, the interest focuses on the notions of convergence and especially "fast" convergence of prices. Though many authors were proposing new models, none of them could successfully explain better performance for...

Binomial models, which rebuild the continuous setup in the limit, serve for approximative valuation of options, especially where formulas cannot be derived mathematically. Even with the valuation of European call options distorting irregularities occur. For this case, sources of convergence...

In this paper we study Binomial Models with random time steps. We explain, how calculating values for European and American Call and Put options is straightforward for the Random-Time Binomial Model. We present the conditions to ensure weak-convergence to the Black-Scholes setup and convergence...

The extension of the Black-Scholes option pricing theory to the valuation of barrier options is reconsidered. Working in the binomial framework of CRR we show how various types of barrier options can be priced either by backward induction or by closed binomial formulas. We also consider...

We review the labor market implications of recent real-business-cycle models that successfully replicate the empirical equity premium. We document the fact that all models considered in this survey with the exception of Boldrin, Christiano, and Fisher (2001) imply a negative correlation of...

We document the empirical fact that asset prices in the consumption-goods and investment-goods sector behave almost identically in the US economy. In order to derive the cyclical behavior of the equity returns in these two sectors, we consider a standard two-sector real-business cycle model with...

One of the leading criticisms of the Efficient Market Hypothesis (EMH) is the presence of so-called “anomalies”, i.e. empirical evidence of abnormal behaviour of asset prices which is inconsistent with market efficiency. However, most studies do not take into account transaction costs. Their...

This paper examines short-term price reactions after one-day abnormal price changes and whether they create exploitable profit opportunities in various financial markets. A t-test confirms the presence of overreactions and also suggests that there is an “inertia anomaly”, i.e. after an...

The conditional equity premium in the model with production is often approximated by assuming a jointly log-normal distribution of the marginal rate of substitution in consumption and the marginal productivity of capital. We show that, for standard parameterization, this premium is about one...