Ramsey Rule with Progressive utility and Long Term Affine Yields Curves
he purpose of this paper relies on the study of long term affine yield curves modeling. It is inspired by the Ramsey rule of the economic literature, that links discount rate and marginal utility of aggregate optimal consumption. For such a long maturity modelization, the possibility of adjusting preferences to new economic information is crucial, justifying the use of progressive utility. This paper studies, in a framework with affine factors, the yield curve given from the Ramsey rule. It first characterizes consistent progressive utility of investment and consumption, given the optimal wealth and consumption processes. A special attention is paid to utilities associated with linear optimal processes with respect to their initial conditions, which is for example the case of power progressive utilities. Those utilities are the basis point to construct other progressive utilities generating non linear optimal processes but leading yet to still tractable computations. This is of particular interest to study the impact of initial wealth on yield curves.
|Date of creation:||21 Feb 2014|
|Date of revision:|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00974831|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- GOLLIER Christian, 2008.
"Should we discount the far-distant future at its lowest possible rate?,"
LERNA Working Papers
08.30.274, LERNA, University of Toulouse.
- Gollier, Christian, 2009. "Should we Discount the Far-Distant Future at its Lowest Possible Rate?," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 3, pages 1-14.
- Gollier, Christian, 2009. "Should We Discount the Far-Distant Future at Its Lowest Possible Rate?," Economics Discussion Papers 2009-7, Kiel Institute for the World Economy (IfW).
- Dybvig, Philip H & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1996.
"Long Forward and Zero-Coupon Rates Can Never Fall,"
The Journal of Business,
University of Chicago Press, vol. 69(1), pages 1-25, January.
- N. El Karoui & Mohamed M'Rad, 2010. "Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows," Working Papers hal-00477380, HAL.
- Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
- Nicole El Karoui & Caroline Hillairet & Mohamed Mrad, 2014. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Working Papers hal-00974815, HAL.
- Gollier, Christian, 2009.
"Expected Net Present Value, Expected Net Future Value, and the Ramsey Rule,"
TSE Working Papers
09-049, Toulouse School of Economics (TSE).
- Gollier, Christian, 2010. "Expected net present value, expected net future value, and the Ramsey rule," Journal of Environmental Economics and Management, Elsevier, vol. 59(2), pages 142-148, March.
- GOLLIER Christian, 2008. "Expected net present value, expected net future value, and the Ramsey rule," LERNA Working Papers 08.29.273, LERNA, University of Toulouse.
- Gollier, Christian, 2009. "Expected Net Present Value, Expected Net Future Value, and the Ramsey Rule," IDEI Working Papers 557, Institut d'Économie Industrielle (IDEI), Toulouse.
- Christian Gollier, 2009. "Expected Net Present Value, Expected Net Future Value, and the Ramsey Rule," CESifo Working Paper Series 2643, CESifo Group Munich.
- Nicole El Karoui & Caroline Hillairet & Mohamed Mrad, 2014. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Papers 1404.1895, arXiv.org.
- Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November.
- David Bolder & Shudan Liu, 2007. "Examining Simple Joint Macroeconomic and Term-Structure Models: A Practitioner's Perspective," Staff Working Papers 07-49, Bank of Canada.
When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-00974831. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
If references are entirely missing, you can add them using this form.