We derive discrete markov chain approximations for continuous state equilibrium term structure models. The states and transition probabilities of the markov chain are chosen effciently according to a quadrature rule as in Tauchen and Hussey (1991). Quadrature provides a simple yet method which...

The type function of an agent, in a type space, associates with each state a probability distribution on the type space. Thus, a type function can be considered as a Markov chain on the state space. A common prior for the space turns out to be a probability distribution which is invariant under...

For option whose striking price equals the forward price of the underlying asset, the Black-Scholes pricing formula can be approximated in closed-form. A interesting result is that the derived equation is not only very simple in structure but also that it can be immediately inverted to obtain an...

This paper presents international evidence on the use of financial derivatives for a sample of 7,292 non-financial firms from 48 countries including the United States. Across all countries, 59.8% of the firms use derivatives in general, while 43.6% use currency derivatives, 32.5% interest rate...

Firm value is influenced in many direct and indirect ways by financial risks, which consist of unexpected changes of foreign exchange rates, interest rates and commodity prices. The fact that a significant number of corporations are committing resources to risk management activi-ties is,...