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Term structure of discount rates under multivariate s-ordered consumption growth

Listed author(s):
  • Christoph Heinzel

The statistical relationship among future changes in consumption can be used to derive, under certain assumptions on investor preferences, an unambiguous effect on the term structure of discount rates. Thus, an increase in concordance in uncertain consumption growth has a negative impact on the term structure if, and only if, the representative investor is risk-averse and prudent (Gollier, Pricing the Planet's Future, Princeton University Press, 2013). Using multivariate s-concave stochastic orderings, this paper generalizes this relationship to multivariate higher-order risk preferences. The result under concordance is included for bivariate (1,1)-increasing concave orders. Similar generalizations arise for the good-specific discount rates and their relationships in a stochastic multi-good economy. In an approximate representation of the interest rate for the univariate case, the term-structure effects are controlled by the Ross coefficients of risk aversion. The effect on the term structure decreases with initial consumption for a given stochastic deterioration in the future consumption increments.

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File URL: http://ageconsearch.umn.edu/bitstream/207849/2/WP%20SMART-LERECO%2014-01.pdf
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Paper provided by INRA UMR SMART in its series Working Papers SMART - LERECO with number 14-01.

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Length: 24 pages
Date of creation: 2014
Handle: RePEc:rae:wpaper:201401
Contact details of provider: Web page: http://www.rennes.inra.fr/smart_eng/Working-Papers-SMART-LERECO
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  1. Sebastian Ebert & Daniel Wiesen, 2011. "Testing for Prudence and Skewness Seeking," Management Science, INFORMS, vol. 57(7), pages 1334-1349, July.
  2. Marco Scarsini, 1985. "Stochastic dominance with pair-wise risk aversion," Post-Print hal-00542275, HAL.
  3. Denuit, Michel & Vylder, Etienne De & Lefevre, Claude, 1999. "Extremal generators and extremal distributions for the continuous s-convex stochastic orderings," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 201-217, May.
  4. Elyès Jouini & Clotilde Napp & Diego Nocetti, 2013. "On Multivariate Prudence," Post-Print halshs-00635558, HAL.
  5. Michel Denuit & Louis Eeckhoudt, 2010. "Bivariate Stochastic Dominance and Substitute Risk-(In)dependent Utilities," Decision Analysis, INFORMS, vol. 7(3), pages 302-312, September.
  6. H. Schlesinger & L. Eeckhoudt & I. Tsetlin, 2009. "Apportioning of risks via stochastic dominance," Post-Print hal-00567952, HAL.
  7. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
  8. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
  9. Traeger, Christian P., 2011. "Sustainability, limited substitutability, and non-constant social discount rates," Journal of Environmental Economics and Management, Elsevier, vol. 62(2), pages 215-228, September.
  10. repec:cor:louvrp:-2207 is not listed on IDEAS
  11. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
  12. EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, "undated". "A good sign for multivariate risk taking," CORE Discussion Papers RP 1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Levy, Haim & Paroush, Jacob, 1974. "Toward multivariate efficiency criteria," Journal of Economic Theory, Elsevier, vol. 7(2), pages 129-142, February.
  14. DECANCQ, Koen, "undated". "Elementary multivariate rearrangements and stochastic dominance on a Fréchet class," CORE Discussion Papers RP 2425, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
  16. Gollier, Christian, 2009. "Ecological Discounting," IDEI Working Papers 524, Institut d'Économie Industrielle (IDEI), Toulouse.
  17. Duncan, George T, 1977. "A Matrix Measure of Multivariate Local Risk Aversion," Econometrica, Econometric Society, vol. 45(4), pages 895-903, May.
  18. Karni, Edi, 1979. "On Multivariate Risk Aversion," Econometrica, Econometric Society, vol. 47(6), pages 1391-1401, November.
  19. Eeckhoudt, Louis & Schlesinger, Harris, 2009. "On the utility premium of Friedman and Savage," Economics Letters, Elsevier, vol. 105(1), pages 46-48, October.
  20. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
  21. M. Denuit & L. Eeckhoudt & Béatrice Rey, 2010. "Some consequences of correlation aversion in decision science," Post-Print halshs-00485722, HAL.
  22. DENUIT, Michel & EECKHOUDT, Louis & TSETLIN, Ilia & WINKLER, Robert L., 2010. "Multivariate concave and convex stochastic dominance," CORE Discussion Papers 2010044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  23. repec:cor:louvrp:-2361 is not listed on IDEAS
  24. Cary Deck & Harris Schlesinger, 2008. "Exploring Higher-Order Risk Effects," CESifo Working Paper Series 2487, CESifo Group Munich.
  25. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
  26. Stiglitz, Joseph E, 1969. "Behavior Towards Risk with Many Commodities," Econometrica, Econometric Society, vol. 37(4), pages 660-667, October.
  27. DENUIT, Michel M. & EECKHOUDT, Louis & MENEGATTI, Mario, "undated". "Correlated risks, bivariate utility and optimal choices," CORE Discussion Papers RP 2272, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  28. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
  29. Noussair, C.N. & Trautmann, S.T. & van de Kuilen, G., 2011. "Higher Order Risk Attitudes, Demographics, and Financial Decisions," Discussion Paper 2011-055, Tilburg University, Center for Economic Research.
  30. Eeckhoudt, Louis & Schlesinger, Harris, 2008. "Changes in risk and the demand for saving," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1329-1336, October.
  31. Pratt, John W, 1990. "The Logic of Partial-Risk Aversion: Paradox Lost," Journal of Risk and Uncertainty, Springer, vol. 3(2), pages 105-113, June.
  32. X. Henry Wang & Carmen F. Menezes, 2004. "Increasing Outer Risk," Working Papers 0413, Department of Economics, University of Missouri, revised 23 Dec 2004.
  33. Keeney, Ralph L, 1973. "Risk Independence and Multiattributed Utility Functions," Econometrica, Econometric Society, vol. 41(1), pages 27-34, January.
  34. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
  35. Le Breton, Michel & Michelangeli, Alessandra & Peluso, Eugenio, 2012. "A stochastic dominance approach to the measurement of discrimination," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1342-1350.
  36. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
  37. Denuit, Michel & Rey, Béatrice, 2010. "Prudence, temperance, edginess, and risk apportionment as decreasing sensitivity to detrimental changes," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 137-143, September.
  38. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
  39. Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.
  40. Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "A class of bivariate stochastic orderings, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 31-50, March.
  41. Martin L. Weitzman, 2012. "The Ramsey Discounting Formula for a Hidden-State Stochastic Growth Process," NBER Working Papers 18157, National Bureau of Economic Research, Inc.
  42. repec:dau:papers:123456789/7344 is not listed on IDEAS
  43. Müller, Alfred & Scarsini, Marco, 2012. "Fear of loss, inframodularity, and transfers," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1490-1500.
  44. Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Intertemporal Utility and Correlation Aversion," Working Papers 2011_03, Durham University Business School.
  45. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
  46. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  47. Jingyuan Li, 2012. "Precautionary saving in the presence of labor income and interest rate risks," Journal of Economics, Springer, vol. 106(3), pages 251-266, July.
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