Econometric Analysis of Present Value Models When the Discount Factor is Near One

Working Paper: NBER ID: w18247

Authors: Kenneth D. West

Abstract: This paper develops asymptotic econometric theory to help understand data generated by a present value model with a discount factor near one. A leading application is to exchange rate models. A key assumption of the asymptotic theory is that the discount factor approaches 1 as the sample size grows. The finite sample approximation implied by the asymptotic theory is quantitatively congruent with modest departures from random walk behavior with imprecise estimation of a well-studied regression relating spot and forward exchange rates.

Keywords: Econometrics; Present Value Models; Discount Factor; Exchange Rates

JEL Codes: C58; F31; F37; G12; G15; G17


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
discount factor (b) (E43)asset prices (yt) (G19)
discount factor (b) approaches unity (G00)behavior of asset prices (yt) resembles random walk (C22)
regressions of exchange rates on forward premiums (F31)coefficients generally less than one (C29)
regression of two-period change in exchange rates on difference between forward rate and lagged exchange rate (F31)coefficients tend to yield near one (C29)

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