In recent years, authors have focused on modeling and forecasting volatility in financial series it is crucial for the characterization of markets, portfolio optimization and asset valuation. One of the most used methods to forecast market volatility is the linear regression. Nonetheless, the errors in prediction using this approach are often quite high. Hence, continued research is conducted t...

I consider a model in which an asset owner must decide how much to invest in his asset mindful of the fact that an encroacher’s valuation of the asset is increasing in the asset owner’s investment. Due to incomplete property rights, the encroacher and asset owner engage in a contest over the control of the asset after investment has taken place. A standard result is that the asset owner will un...

The efficient market hypothesis states that the market incorporates all available information to provide an accurate valuation of the asset at any given time. However, most models for forecasting the return or volatility of assets completely disregard the arrival of asset specific news (i.e., news which is directly relevant to the asset). In this paper we propose a simple adaptation to the GARC...

The Geske-Johnson approach provides an e cient and intuitively appealing technique for the valuation and hedging of American-style contingent claims. Here, we generalize their approach to a stochastic-interest-rate economy. The method is implemented using options exercisable on one of a nite number of dates. We illustrate how the value of an American-style option increases with interest-rate vo...