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...

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...

We evaluate biodiversity in a real options framework, when the resources in use are substitutable. We examine optimal conservation decisions given that a biodiversity loss is irreversible and that future use values are uncertain. While species substitutability is generally believed to reduce the...

We use a real option approach to determine optimally when a social planner has to stop or resume logging in situations where an endangered species relies on forest habitat for its survival, and that habitat evolves stochastically. The model incorporates economic, ecological and social features,...

We study the development of a duopoly industry -evolution of firm capacities and competitive behavior- in a continuous-time real-options model of capacity investment. Our methodology allows the evaluation of investment options and exercise rules in a strategic setup. In the initial industry...