This paper provides a survey of recent numerical methods for pricing derivative securities. Methods for standard American options on a single underlying asset, barrier and lookback options and options on multiple assets are reviewed. Criteria for comparison of different approaches are discussed....

We provide a simple binomial framework to value American-style derivatives subject to trading restrictions. The optimal investment of liquid wealth is solved simultaneously with the early exercise decision of the non-traded derivative. No-short-sales constraints on the underlying asset manifest...

We propose a Markov chain method for pricing discretely monitored barrier options in both the constant and time-varying volatility valuation frameworks. The method uses a time homogeneous Markov Chain to approximate the underlying asset price process. Our approach provides a natural framework...

This paper examines the valuation of European- and American-style volatility options based on a general equilibrium stochastic volatility framework. Properties of the optimal exercise region and of the option price are provided when volatility follows a general diffusion process. Explicit...

A useful feature of European and American options in the standard financial market model with constant coefficients is the property of put-call symmetry. This property states that the value of a put option with strike price K and maturity date T is the same as the value of a call option with...

We provide a comprehensive treatment of option pricing with particular emphasis on the valuation of American options on dividend-paying essets. We begin by reviewing valuation principles for European contingent claims in a financial market in which the underlying asset price follows an Itô...

The real options approach considers strategic management and decision-making as a process aimed at actively reducing exposition to downside risk and promoting exposition to upside opportunities. It stands at the hinge between pure finance and other areas of decision making under risk such as...

The real options approach considers strategic management and decision-making as a process aimed at actively reducing exposition to downside risk and promoting exposition to upside opportunities. It stands at the hinge between pure finance and other areas of decision making under risk such as...

We model capacity-building investments in a homogeneous product duopoly facing uncertain demand growth. Capacity building is achieved through the addition of production units that are durable and lumpy and whose cost is irreversible. While building their capacity over time, firms compete à la...

In this report, we first develop a simplified example that illustrates the importance of considering the option ``waiting to invest'' when valuing an investment. This is followed by a short description of other options that could be embedded in an investment opportunity. In order to stress the...