Unemployment and inflation
James Hamilton (October 20th, 2009) Writes:
Does high unemployment mean that there's nothing to worry about in terms of inflation?
Since I'll be trying to answer this question quantitatively using some equations, I'll begin with some notation. Let ut denote the unemployment rate as of the end of a particular quarter t; currently ut = 9.8 for t corresponding to 2009:Q3. I'll presume that the question we're interested in is what sort of inflation rate we should expect over the next two years, and so I'll let πt+8 denote the average inflation rate (quoted at an annual rate) over the next 8 quarters as measured by the price index for personal consumption expenditures (data from FRED). Of course at the current time (t = 2009:Q3) we don't yet know what the value of πt+8 is going to be-- that's what we're trying to predict.
One way to come up with a prediction is to
...

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Figure 1: Log goods import ex.-oil from NIPA (blue), and log goods exports ex.-agricultural goods (red), all in Ch.2000$, SAAR. NBER recession dates shaded gray. Source: BEA, GDP 2009Q1 preliminary release of 28 May 2009, NBER, and author's calculations.

Figure 1: Log GDP (blue, left scale), log goods import ex.-oil from NIPA (red, right scale), estimated from trade release (purple, right scale), all in Ch.2000$, SAAR. 2009q1 estimate is based on actual January and February data and March estimate incorporating continued 5% decline from February. NBER recession dates shaded gray. Source: BEA, GDP final release of 26 March 2009, February trade release, NBER, and author's calculations.

