Wednesday, February 8, 2012

the full trap moment !! the FE gap and spontaneous recovery motions

call this the spontaneous cross of crucifiction at time T (0)


---btw we oughta assume here fixed G and X of course
so we can  call this only the market systems "internal lines "---

ie the horizontal line measures corporate net investment and household  net savings at
the corresponding vertical line that gives the coupled  nominal rate

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so now put these embedded lines in motion
 these two "lines" are constantly in shift mode all  on their own
right or left
all the time
lets imagine at time T(1)

the spontaneous action might  favorable
to a  recovery

in that case in the interval between T(0) and T (1)
the  FE savings " line"  shifts to the left FE
and the  investment "line " shifts  to the right
and that at time T(2) it has shifted in the same set of directions only more so
ie the spontaneous recovery rate is accelerating
that is the picture we are drawing for ourselves in the media these days
but the two "lines"   still cross  below the zero interest rate line
ie credit policy is still impotent
the liquidity trap
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pk:
"One way to think about macro policy in a liquidity trap
 is that it’s about trying to reduce that incipient surplus,
 say through government spending to make use of the excess savings"

so look at the zero bound nominal rate line
the nominal policy rate floor

which exists because
pk:

" rather than lend at a loss people can just hold cash."
so the fed which by hypothesis can only lower the interest rate
can't do anything more at point zero

" So we have an “incipient” excess supply of savings"
.
the gap at the zero line in the grapgh above
 between the zero rate  FEsavings and FE investment
          measures the size of the FE FISCAL  deficit ( times its multiplier of course )

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if the actual fiscal deficit isn't big enough( or the multiplier assumptions are too large )

the excess savings/inadquate investment gap  in part closes
as pk suggests ... "   via a fall in income "

some combo of disinflation and  real  output contraction

and as disinflation hits its own zero  barrier
the point where inflation transitions to deflation
the income adjustment  gets to be all spontaneous real contraction
unless the system can deflate itself
which our system seems unable to do
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today spontaneous motions are alleged to be as suggested above
ie
the FE  gap is closing all by itself

how fast ?

well faster then ....last years  bottoming out interval 

then again G is still falling and whither X

uncertainty remains signifigant

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is that
pompously broad  enough for ya comrades??