SSRN Author: Josep PerellóJosep Perelló SSRN Content
http://www.ssrn.com/author=274361
http://www.ssrn.com/rss/en-usWed, 15 Jul 2015 15:01:25 GMTeditor@ssrn.com (Editor)Wed, 15 Jul 2015 15:01:25 GMTwebmaster@ssrn.com (WebMaster)SSRN RSS Generator 1.0New: Discounting the Distant FutureIf the historical average annual real interest rate is m > 0, and if the world is stationary, should consumption in the distant future be discounted at the rate of m per year? Suppose the annual real interest rate r(t) reverts to m according to the Ornstein Uhlenbeck (OU) continuous time process dr(t) = alpha[m - r(t)]dt kdw(t), where w is a standard Wiener process. Then we prove that the long run rate of interest is r_infinity = m-k^2/2alpha^2. This confirms the Weitzman-Gollier principle that the volatility and the persistence of interest rates lower long run discounting. We fit the OU model to historical data across 14 countries covering 87 to 318 years and estimate the average short rate m and the long run rate r_infinity for each country. The data corroborate that, when doing cost benefit analysis, the long run rate of discount should be taken to be substantially less than the average short run rate observed over a very long history.
http://www.ssrn.com/abstract=2465953
http://www.ssrn.com/1319211.htmlTue, 15 Jul 2014 21:08:59 GMT