2002
DOI: 10.1017/s0266466602181060
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Stationary Processes That Look Like Random Walks— The Bounded Random Walk Process in Discrete and Continuous Time

Abstract: Several economic and financial time series are bounded by an upper and lower finite limit (e.g., interest rates). It is not possible to say that these time series are random walks because random walks are limitless with probability one (as time goes to infinity). Yet, some of these time series behave just like random walks. In this paper we propose a new approach that takes into account these ideas. We propose a discrete-time and a continuous-time process (diffusion process) that generate bounded rando… Show more

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Cited by 82 publications
(33 citation statements)
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“…KPSS is the KPSS test of Kwiatkowski et al (1992 is a participation rate. This sensitivity analysis is motivated by the econometric criticism that a variable that is bounded between zero and one -such as the participation rate -strictly speaking cannot be a linear unit-root process with an additive error term fulfilling standard assumptions; see, for example, Nicolau (2002). The transformed variable t p , on the other hand, is unbounded above and below and one therefore does not have to say that the unit-root assumption relies on approximations.…”
Section: Empirical Findingsmentioning
confidence: 99%
“…KPSS is the KPSS test of Kwiatkowski et al (1992 is a participation rate. This sensitivity analysis is motivated by the econometric criticism that a variable that is bounded between zero and one -such as the participation rate -strictly speaking cannot be a linear unit-root process with an additive error term fulfilling standard assumptions; see, for example, Nicolau (2002). The transformed variable t p , on the other hand, is unbounded above and below and one therefore does not have to say that the unit-root assumption relies on approximations.…”
Section: Empirical Findingsmentioning
confidence: 99%
“…Private nominal interest rates are in a similar range today, an outcome that would be virtually impossible if interest rates possessed a unit 1 Because nominal interest rates are bounded downward, they cannot strictly be a linear unit-root process with an additive error term ful…lling standard assumptions (Nicolau, 2002). However, the approximation error from making such an assumption is likely to be negligible, and other bounded variables, such as unemployment rates, are often treated as possessing a unit root for this reason.…”
Section: Introductionmentioning
confidence: 99%
“…One of possible way of modeling might be a mean-reverting unit root process: when unemployment rate goes very high, it will tend to go down very soon. This set-up has been analyzed for exchange rate dynamics in Nicolau (2002). We do not choose this process because our focus is on using inflation expectation data and we simplify the filtering problem.…”
Section: Discussionmentioning
confidence: 99%