Time Horizon and the Discount Rate. Gollier, C. Journal of Economic Theory, 107(2):463–473, December, 2002.
Time Horizon and the Discount Rate [link]Paper  doi  abstract   bibtex   
We consider an economy à la Lucas (1978, Econometrica 46 , 1429–1446) with a risk-averse representative agent. The exogenous growth rate of the economy follows a random walk. We characterize the set of utility functions for which it is efficient to discount more distant cash flows at a lower rate. The benchmark result is that, when the growth rate is almost surely nonnegative, the yield curve is decreasing if and only if relative risk aversion is decreasing with wealth. Relaxing the assumption on the absence of recession requires more restrictions on preferences, such as increasing relative prudence.
@article{gollier_time_2002,
	title = {Time {Horizon} and the {Discount} {Rate}},
	volume = {107},
	issn = {00220531},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0022053101929527},
	doi = {10.1006/jeth.2001.2952},
	abstract = {We consider an economy à la Lucas (1978, Econometrica 46 , 1429–1446) with a risk-averse representative agent. The exogenous growth rate of the economy follows a random walk. We characterize the set of utility functions for which it is efficient to discount more distant cash flows at a lower rate. The benchmark result is that, when the growth rate is almost surely nonnegative, the yield curve is decreasing if and only if relative risk aversion is decreasing with wealth. Relaxing the assumption on the absence of recession requires more restrictions on preferences, such as increasing relative prudence.},
	language = {en},
	number = {2},
	urldate = {2017-05-23},
	journal = {Journal of Economic Theory},
	author = {Gollier, Christian},
	month = dec,
	year = {2002},
	keywords = {DR, Untagged},
	pages = {463--473},
}

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