what is hotelling s theory 
hotelling s theory or hotelling s rule posits that owners of nonrenewable resources will only produce basic commodities if doing so can yield more than could be earned from available financial instruments such as u s treasury or other similar interest bearing securities the theory assumes that markets are efficient and that the owners of the nonrenewable resources are motivated only by profit hotelling s theory is used by economists to attempt to predict the price of oil and other nonrenewable resources based on prevailing interest rates hotelling s rule was named after american statistician harold hotelling understanding hotelling s theoryhotelling s theory addresses a fundamental decision for an owner of a nonrenewable resource keep the resource in the ground and hope for a better price the next year or extract and sell it and invest the proceeds in an interest bearing security consider an owner of iron ore deposits if this miner expects a 10 appreciation of iron ore over the next 12 months and the prevailing real interest rate nominal rate less inflation at which he can invest is only 5 per year he will choose not to extract the iron ore extraction costs are ignored in his theory if the numbers were switched with a price appreciation expectation of 5 and an interest rate of 10 the owner would mine the iron ore sell it and invest the sales proceeds at a 10 yield the miner will be indifferent at 5 and 5 theory and practicethe difference between the marginal extraction costs of natural resources and their price is called the hotelling rent it follows that the rate of change in the price of a depletable resource must equal the interest rate that a miner or extractor uses to discount the future this is known as the hotelling r percent growth rule whenever marginal extraction costs are zero the price of the resource in stock and that of the unmined resource are equivalent and the hotelling rule applies equally to both if however extraction costs increase over time the price of the resource should rise at a rate that is lower than the discount interest thus all else being equal an increase in the discount rate implies a higher price for the unextracted resource and would incentivize a faster rate of extraction in theory then the price increase rates of nonrenewable resources like oil copper coal iron ore zinc nickel etc should track the pace of real interest rate increases in practice the federal reserve bank of minneapolis concluded in a 2014 study that hotelling s theory fails the price appreciation rates of all the basic commodities examined by authors fell short some far short of the annual average rate of u s treasury securities the authors suspected that extraction costs explained the difference who was harold hotelling harold hotelling 1895 1973 was an american statistician and economist affiliated with stanford university and columbia university in his early and mid career years and later with the university of north carolina chapel hill until his retirement aside from the eponymous theory on prices of nonrenewable resources he is known for hotelling s t square distribution hotelling s law and hotelling s lemma 