The least squares method for option pricing revisited

It is shown that the the popular least squares method of option pricing converges even under very general assumptions. This substantially increases the freedom of creating different implementations of the method, with varying levels of computational complexity and flexible approach to regression. It is also argued that in many practical applications even modest non-linear extensions of standard regression may produce satisfactory results. This claim is illustrated with examples

Equilibrium Exhaustible Resource Price Dynamics

We develop equilibrium models of an exhaustible resource market where both prices and extraction choices are determined endogenously. Our analysis highlights a role for adjustment costs in generating price dynamics that are consistent with observed oil and gas forward prices as well as with the two-factor prices processes that were calibrated in Schwartz and Smith (2000). Stochastic volatility aries in our two-factor model as a natural consequence of production for oil and natural gas prices. Differences between the endogenous price processes considered in earlier papers can generate significant differences in both financial and real option values.

Simulation-Based Pricing of Convertible Bonds

We propose and empirically study a pricing model for convertible bonds based on Monte Carlo simulation. The method uses parametric representations of the early exercise decisions and consists of two stages. Pricing convertible bonds with the proposed Monte Carlo approach allows us to better capture both the dynamics of the underlying state variables and the rich set of real-world convertible bond specifications. Furthermore, using the simulation model proposed, we present an empirical pricing study of the US market, using 32 convertible bonds and 69 months of daily market prices. Our results do not confirm the evidence of previous studies that market prices of convertible bonds are on average lower than prices generated by a theoretical model. Similarly, our study is not supportive of a strong positive relationship between moneyness and mean pricing error, as argued in the literature.Convertible bonds, Pricing, American Options, Monte Carlo simulation