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Charles Plosser and the 50% Contraction in the Fed's Balance Sheet

Posted on 4/20/11 at 11:09 am
Posted by RasinCane
Member since Mar 2011
147 posts
Posted on 4/20/11 at 11:09 am
Mr Hussman's essay is a read that no one should miss. He lays out the possibilities going forward and what will result from each possible choice the Fed has available. There is also a pretty accurate time scale for the end of QE2, with rational, and some interesting charts provided. A brief segment from the essay, enjoy:

LINK

"A week ago, Charles Plosser, the head of Philadelpha Federal Reserve Bank, argued that the Fed should increase short-term interest rates to 2.5% "starting in the not-too-distant-future," preferably during the coming year. Given the robust historical relationship between short-term yields and the amount base money per dollar of nominal GDP, we can make a fairly tight estimate of how much the Fed would have to contract the monetary base in order to achieve a 2.5% yield without provoking inflationary pressures. While the monetary base will be over $2.5 trillion by the end of this month, a 2.5% interest rate would require a contraction of about $1.4 trillion in the Fed's balance sheet, to a smaller monetary base of just over $1.1 trillion.

[Geeks Note: The interest rate estimates here are based on the inverse of the liquidity preference function, which explains 96% of the historical variation in money holdings as a fraction of nominal GDP. The dynamic equation is i = exp(4.25 - 129.87*M/PY + 84.42*M/PY_lagged_6_mos). This has the steady-state of i = exp(4.27 – 45.5*M/PY). See the original "Sixteen Cents" piece for further details].

In his comments, Plosser discussed a plan to sell about $125 billion in Fed holdings for every 0.25% increase in the Fed Funds rate. That overall estimate (implying $1.25 trillion in total balance sheet reductions) is slightly low, but close to our own calculations. Plosser's estimates correctly imply that a 2.5% non-inflationary interest rate target would require the Fed's balance sheet to contract by more than 50%.

The problem, however, is that the required shift in the monetary base is not linear. It's heavily front-loaded in the sense that massive reductions the Fed's balance sheet would be required in the first few hikes (see the scatter plot near the top of this comment). Based on the historical liquidity preference relationship (which explains about 96% of the variation in historical data), and assuming nominal GDP of $15 trillion, the following are levels of the monetary base consistent with a non-inflationary increase in short-term interest rates up to 2.5%. The non-inflationary provision is important. You can't just allow interest rates to rise without contracting the monetary base. Otherwise, as noted earlier, non-interest bearing money would quickly become a hot potato and inflation would predictably follow:

Treasury bill yields and monetary base consistent with price stability
0.03%: $2.60 trillion
0.25%: $1.92 trillion
0.50%: $1.68 trillion
0.75%: $1.54 trillion
1.00%: $1.44 trillion
1.25%: $1.36 trillion
1.50%: $1.30 trillion
1.75%: $1.24 trillion
2.00%: $1.20 trillion
2.25%: $1.16 trillion
2.50%: $1.12 trillion

The upshot is that Plosser's estimate of about $125 billion in asset sales for every 0.25% increase in yields is a reasonably accurate overall average, but the profile of required asset sales is enormously front-loaded. The first hike will be, by far, the most difficult. In order to achieve a non-inflationary increase in yields even to 0.25%, the Fed will have to reverse the entire amount of asset purchases it has engaged in under QE2. Indeed, the last time we observed Treasury bill yields at 0.25%, the monetary base was well under $2 trillion.

In my view, this is a major problem for the Fed, but is the inevitable result of pushing monetary policy to what I've called its "unstable limits." High levels of monetary base, per dollar of nominal GDP, require extremely low interest rates in order to avoid inflation. Conversely, raising interest rates anywhere above zero requires a massive contraction in the monetary base in order to avoid inflation. Ben Bernanke has left the Fed with no graceful way to exit the situation."

Posted by LSURussian
Member since Feb 2005
133527 posts
Posted on 4/20/11 at 12:16 pm to
quote:

RasinCane
In your opinion, would a 50% contraction in the Fed's balance sheet be a good or bad thing?
Posted by BROffshoreTigerFan
Edmond, OK
Member since Oct 2007
10004 posts
Posted on 4/20/11 at 1:39 pm to
:goingbacktotheOTnow:
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