Perpetual learning and apparent long memory

This paper studies the low frequency dynamics in forward looking models where expectations are formed using perpetual learning such as constant gain least squares. We show that if the coefficient on expectations is sufficiently close to unity, perpetual learning induces strong persistence that is em...

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Main Authors: Chevillon, G, Mavroeidis, S
Format: Journal article
Language:English
Published: Elsevier 2018
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author Chevillon, G
Mavroeidis, S
author_facet Chevillon, G
Mavroeidis, S
author_sort Chevillon, G
collection OXFORD
description This paper studies the low frequency dynamics in forward looking models where expectations are formed using perpetual learning such as constant gain least squares. We show that if the coefficient on expectations is sufficiently close to unity, perpetual learning induces strong persistence that is empirically indistinguishable from long memory. We apply this result to present value models of stock prices and exchange rates and find that perpetual learning can explain the long memory observed in the data.
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spelling oxford-uuid:89297f88-37da-459e-8f0e-b4302235fe7a2022-03-26T22:22:36ZPerpetual learning and apparent long memoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:89297f88-37da-459e-8f0e-b4302235fe7aEnglishSymplectic Elements at OxfordElsevier2018Chevillon, GMavroeidis, SThis paper studies the low frequency dynamics in forward looking models where expectations are formed using perpetual learning such as constant gain least squares. We show that if the coefficient on expectations is sufficiently close to unity, perpetual learning induces strong persistence that is empirically indistinguishable from long memory. We apply this result to present value models of stock prices and exchange rates and find that perpetual learning can explain the long memory observed in the data.
spellingShingle Chevillon, G
Mavroeidis, S
Perpetual learning and apparent long memory
title Perpetual learning and apparent long memory
title_full Perpetual learning and apparent long memory
title_fullStr Perpetual learning and apparent long memory
title_full_unstemmed Perpetual learning and apparent long memory
title_short Perpetual learning and apparent long memory
title_sort perpetual learning and apparent long memory
work_keys_str_mv AT chevillong perpetuallearningandapparentlongmemory
AT mavroeidiss perpetuallearningandapparentlongmemory