Campbell, John Y. and Martin, Ian W. R. ORCID: 0000-0001-8373-5317
(2025)
Sustainability in a risky world.
American Economic Review: Insights, 7 (2).
196 - 212.
ISSN 2640-205X
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Abstract
How much consumption is sustainable, if \sustainability" re- quires that welfare should not be expected to decline over time? We impose a sustainability constraint on a standard consump- tion/portfolio choice problem. The constraint does not distort portfolio choice, but it imposes an upper bound on the sustain- able consumption-wealth ratio, which must lie between the riskless interest rate and the expected return on wealth (and if risky capital evolves according to a geometric Brownian motion, it lies exactly halfway between the two). Sustainability requires an upward drift in wealth and consumption to compensate future generations for the increased risk they face.
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