Optimal harvesting under resource stock and price uncertainty

We analyze partial and complete depletion harvesting policy under resource stock and price uncertainty and risk neutrality. We state a set of weak conditions under which the optimal policy can be characterized by a single threshold and show that the value can be expressed in a separable form where price volatility affects the value through the risk adjusted growth rate. Both higher price and stock volatility decrease the value when the correlation between the driving Brownian motions is negative. With no correlation the optimal policy is independent of price volatility while higher stock volatility increases the harvesting threshold.