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How Long does a Generation Last? Assessing the Relationship Between Infinite and Finite Horizon Dynamic Models *
Author(s) -
Guerrazzi Marco
Publication year - 2022
Publication title -
economic papers: a journal of applied economics and policy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 19
eISSN - 1759-3441
pISSN - 0812-0439
DOI - 10.1111/1759-3441.12328
Subject(s) - nexus (standard) , econometrics , mathematical economics , function (biology) , path (computing) , overlapping generations model , discounting , smoothing , consumption (sociology) , horizon , time horizon , point (geometry) , mathematics , computer science , economics , mathematical optimization , statistics , microeconomics , social science , geometry , finance , evolutionary biology , sociology , programming language , biology , embedded system
This note aims at assessing the temporal relationship that exists between the time reference of dynamic models with infinite and finite horizon. Specifically, comparing the optimal inter‐temporal plans arising from an infinite horizon model and a 2‐period overlapping generations model in their stationary equilibria, I suggest way to assess the number of time periods of the former that form a time unit of the latter. Relying on an argument grounded on consumption smoothing, I show that the theoretical length of a generation is an increasing function of the discount factor of the optimising agent. Moreover, from an empirical point of view, I give evidence that this analysis corroborates the well‐documented nexus that links demographic developments and the path of interest rates, and it offers interesting insights for the calibration of discount rates in computational models.