March 24, 2023

How Long the Dollar Upswing?

Among the influential empirical exchange rate documents is Charles Engels and Jim Hamiltons “Long swings in the exchange rate: are they in the information and do markets know it?” (AER, 1990). Believe about it– while one typically cant decline the null hypothesis of a random walk in the currency exchange rate (using usually low-powered tests), the typical drifting exchange rate sure does not appear like a random walk. What does a Markov changing design used to the United States broad trade weighted genuine worth of the US dollar (instead of bilateral against Deutsche mark, French franc, British pound).

A changing model estimated over the 1973Q1-2022Q3 period suggests the dollar falls 4.1% throughout depreciation routines, and rises 5.8% during gratitude regimes. Markov switching design, 2 programs, exact same variation in 2 regimes. Figure 1: Top panel, log real worth of broad trade weighted dollar (black), 2006M01= 0; Middle panel: possibility of being in diminishing routine (blue), NBER peak-to-trough recession dates shaded gray; Bottom panel: likelihood of being in valuing regime (blue).

A changing design approximated over the 1973Q1-2022Q3 period shows the dollar falls 4.1% throughout depreciation regimes, and increases 5.8% during appreciation routines. Markov changing design, 2 programs, same variation in 2 routines.

Figure 1: Top panel, log genuine worth of broad trade weighted dollar (black), 2006M01= 0; Middle panel: likelihood of being in depreciating regime (blue), NBER peak-to-trough economic downturn dates shaded gray; Bottom panel: likelihood of being in appreciating routine (blue). Source: Federal Reserve Board (goods export weighted through 2015, goods and services export weighted 2016 and onward), NBER, and authors computations.
Utilizing a 50% limit, the dollar has actually remained in a valuing routine considering that 2021Q2. The possibility of staying in a valuing routine when in a valuing regime is 81%, while the probability of transitioning to a depreciating program from an appreciating regime is just 15%.
The expected duration of program 2 (valuing) is 5.23 quarters. If the valuing program has actually been in location considering that 2021Q2, then a switch to depreciation would not be unexpected. Nevertheless, the design Ive estimated does not ascribe a greater possibility to a switch the longer one remains in a given program

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