Pricing Weather Insurance with a Random Strike Price: The Ontario Ice-Wine Harvest

Weather insurance within the agricultural sector has been limited by the difficulty in defining the appropriate weather event and in pricing the product. We develop a new pricing method for weather insurance under situations where returns depend not only on the occurrence of the weather event, but also its timing. The method is used to price weather insurance for ice wine. Because the harvest quantity of grapes for ice wine degrades over time, the strike value on the weather event measured as harvestable hours is random. We develop a Monte Carlo method to estimate the premium.     

On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation

This article develops a two-factor real options model of the harvesting decision over infinite rotations assuming a known stochastic price process and using a rigorous Hamilton–Jacobi–Bellman methodology. The harvesting problem is formulated as a linear complementarity problem that is solved numerically using a fully implicit finite difference method. This approach is contrasted with the Markov decision process models commonly used in the literature. The model is used to estimate the value of a representative stand in Ontario's boreal forest, both when there is complete flexibility regarding harvesting time and when regulations dictate the harvesting date.     

Volatility and Price Jumps in Agricultural Futures Prices—Evidence from Wheat Options

Evidence suggests that agricultural futures price movements have fat-tailed distributions and exhibit sudden and unexpected price jumps. There is also evidence that the volatility of futures prices is time-dependent both as a function of calendar-time (seasonal effect) and time to maturity (maturity effect). This article extends Bates' (1991) jump-diffusion option pricing model by including both seasonal and maturity effects in the volatility specification. Both in-sample and out-of-sample procedures to fit market option prices on wheat futures show that the suggested model outperforms previous published models. A numerical example shows the magnitude of pricing errors for option valuation.