Abstract
The mean discount rate for a simple stochastic model behaves asymptotically roughly like \(1/\sqrt{n}\) in contrast to the usual geometric discounting in a deterministic model.
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Farmer, J.D. and Geanakoplos, J. (2009). Hyperbolic discounting is rational: valuing the far future with uncertain discount rates. CFDP No. 1719. Cowles Foundation, Yale University, New Haven, CT 06520, USA.
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Geanakoplos, J., Sudderth, W. & Zeitouni, O. Asymptotic Behavior of a Stochastic Discount Rate. Sankhya A 76, 150–157 (2014). https://doi.org/10.1007/s13171-013-0037-9
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DOI: https://doi.org/10.1007/s13171-013-0037-9