The Effect of Small Intervention Costs on the Optimal Extraction of Dividends and Renewable Resources in a Jump-Diffusion Model

Nils Framstad

No 25/2014, Memorandum from Oslo University, Department of Economics

Abstract: A risk-neutral agent optimizes extraction of dividends or renewable natural resources modelled by a jump-diffusion stock process, where the optimal strategy is characterized as the minimal intervention required to keep the stock process inside a given region. The introduction of a small fixed cost per intervention, is shown to induce a loss at worst of order, corresponding to a minimal intervention size of order, under suitable conditions; there are degenerate cases if purely discontinuous harvesting is optimal for the frictionless problem. If extraction is reversible, at cost between half and twice the extraction cost, the exponents are 1/2 and 1/4, agreeing with the effect of fixed costs in a consumption–portfolio optimization problem for a risk-averse agent.

Keywords: Optimal stochastic control; resource extraction; dividend extraction; jump-diffusion model; transaction costs (search for similar items in EconPapers)
JEL-codes: D23 G11 Q20 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2014-11-27
New Economics Papers: this item is included in nep-env
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