Szekeres, Szabolcs (2020): The real solution of the Weitzman-Gollier Puzzle.
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Abstract
The Weitzman-Gollier Puzzle centered on the question of whether certainty equivalent discount rates should be growing or declining functions of time in capital markets with perfectly autocorrelated stochastic interest rates. Absent a convincing solution of the puzzle in the context of risk neutrality, most of the literature trying to reconcile the two approaches appealed to the notion of risk-aversion, and many claim having solved the puzzle while endorsing the notion of declining discount rates (DDRs). This note proves that the DDR recommendation results from the fallacy of ignoring that the expectation of the inverses is not equal to the inverse of the expectation and shows how incorrect CERs can be computed from correct ones and vice versa. Consequently, the Weitzman-Gollier Puzzle is not a puzzle, but an insidious, long undetected mistake.
Item Type: | MPRA Paper |
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Original Title: | The real solution of the Weitzman-Gollier Puzzle |
English Title: | The real solution of the Weitzman-Gollier Puzzle |
Language: | English |
Keywords: | Weitzman-Gollier Puzzle; Declining discount rates; Discounting |
Subjects: | D - Microeconomics > D6 - Welfare Economics > D61 - Allocative Efficiency ; Cost-Benefit Analysis H - Public Economics > H4 - Publicly Provided Goods > H43 - Project Evaluation ; Social Discount Rate |
Item ID: | 102344 |
Depositing User: | Mr Szabolcs Szekeres |
Date Deposited: | 13 Aug 2020 07:55 |
Last Modified: | 13 Aug 2020 07:55 |
References: | Gollier, C. (2004) Maximizing the expected net future value as an alternative strategy to gamma discounting. Finance Research Letters Volume 1, Issue 2, June 2004, Pages 85-89. https://www.sciencedirect.com/science/article/pii/S1544612304000315 Gollier, Christian, Phoebe Koundouri, Theologos Pantelidis (2008) “Declining Discount Rates: Economic Justifications and Implications for Long-Run Policy” Economic Policy, Volume 23, Issue 56, 1 October 2008, Pages 758–795, https://doi.org/10.1111/j.1468-0327.2008.00211. Gollier, Christian and Martin L. Weitzman (2010). “How Should the Distant Future Be Discounted When Discount Rates are Uncertain?” Economics Letters, 107 350–353. http://scholar.harvard.edu/weitzman/publications/how-should-distant-future-be-discounted-when-discount-rates-are-uncertain Gollier, C. (2016) Gamma discounters are short-termist, Journal of Public Economics, Volume 142, Pages 83-90, ISSN 0047-2727, https://doi.org/10.1016/j.jpubeco.2016.08.006. Pazner, E. A., Razin, A. (1975) On expected value vs. expected future value. The Journal of Finance, 30(3): 875-878. Szekeres, Szabolcs (2013). The “Weitzman-Gollier puzzle" is not a paradox but a mistake, and it is most likely moot. Open Science Repository Economics, Online (open-access), e23050448. http://www.open-science-repository.com/economics-23050448.html Szekeres, Szabolcs (2017) Checking Gollier and Weitzman’s solution of the “Weitzman–Gollier puzzle”. Economics Discussion Papers, No 2017-11, Kiel Institute for the World Economy. http://www.economics-ejournal.org/economics/discussionpapers/2017-11 Szekeres, Szabolcs (2019) Why expected discount factors yield incorrect expected present values. Journal of Applied Economic Sciences, Volume XIV, Spring, 1(63): 282-292. http://cesmaa.org/Extras/JAESArchive Weitzman, M.L. (1998), “Why the far distant future should be discounted at its lowest possible rate.” Journal of Environmental Economics and Management, 36, 201-208. Weitzman, M. L. (2001) Gamma discounting. American Economic Review 91:260–271 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/102344 |