and as it does real GNP will recover. The purpose of this paper is to examine, in
somewhat more detail than the previous paragraph, the effect that nominal GNP ...
Carnegie-Rochester North-Holland
Conference
Series on Public
Policy
22 (1985)
61-84
WHAT WOULD NOMINAL GNP TARGEllING TO THE BUSINESS John
DO
CYCLE?
6. Taylor*
Stanford University and
National Bureau of Economic Research
Many economists rule
for
an alternative should
to
keep
automatically velocity
The rule
also
ty. down,
this
has
the
money
must
are automatically
to
(1) keep
typically
prescribes
that
money
supply--growing
the
two reasons.
adjustment
in money
stabilize
as a new
is
for
in real
virtue
of
Consider Nominal
nominal
be increased offset.
GNP targetting
real
growth
in
as
policymakers along
First,
GNP.
GNP growth
viewed
it
would
in response
Second,
it
would
response
to
price
inflation.
easy.
adjustments. is
It than
should
stabilize
seems
The rule
GNP--rather
a reduction
should
policymakers
targetting.
an offsetting
for
nominal
GNP targetting
seems attractive
and
call
and this
automatic
for
shocks
automatically
to
nominal
call
proposed
Nominal
The rule
path.
shocks
recently
p0licy.l
to money-growth
aim
a target
to
have
monetary
simplicity. the
GNP is the
Nominal
of
target:
amount.
GNP is
how it
explanation
product
GNP on a fixed by an equal
(2)
Explaining
typical
also
money when
Hence, the
of
product
works the
two
and veloci-
velocity
velocity of
goes shocks
the
*This research was supported by a grant from the National Science Foundation National Bureau of Economic Research and was conducted in part at the Federal Reserve Philadelphia. I am grateful to Brian Horrigan, Allan Meltzer, and Robert Rasche for comments.
price
at the Bank of helpful
‘For example, see Feldstein (1984), Gordon (19831, Hall (1983). Meade (1978), and Tobin (1980, 1983). Criticisms of nominal GNP targetting are found in Brunner (1983) and Poole (1980). Bean (1983) provides a careful theoretical analysis of the implications of nominal GNP targetting in a model with sticky wages where the demand for I abor depends on the real His conclusion that nominal GNP targetting is preferable to money targetting if the wage. price elasticity of aggregate demand is less than unity corresponds to section I of this paper in the case where output stability (defined in terms of the deviations of output from ful I information output) is the sole criterion of macroeconomic performance. If price stability is also a goal, then an extremely steep aggregate demand curve (that is, an extremely accommodative policy) might not be desirable as is shown in Section I below.
0 167-2231/65/$03.30
01965
Elsevier
Science
Publishers
B.V. (North-Holland
level
and real
GNP.
With
real
GNP goes
down
will
then
downward
will
recover.
put
The purpose the
previous
would
perpetuate the ale
the
is
cyclical
that The
do to
What would
it
of
paper the
the
entirely
to
issues.
alone
explain
in
of propagation
One of targetting
the is
lag--emphasized instruments
by on real
the
proposals
for in
Hall
(1983)
proposes:
for
nominal
policy
GNP.
would
contract
it
vision. the
the
too,
provided
Each
year
administration,
mitment.
The with
advantage.
implied
social But
of experience
first
one-to-one priorities,
let
the
state
of
to the
rationpertains of
analyze,
complex
let
dynamic
of
the
policy
depend
in the
various
targets
should
example,
Robert
adopt
a target
above
path,
path
monetary
and would
be required
to
If
path.
are
for." Tobin
the In
(1983)
subject
nominal
on
a feedback The
For
GNP
well-known
rule.
James of
Fed,
nominal the
effects
be called
targets
to
GNP,
to
economy reacting says,
"I
annual
agreed
re-
upon
by
would
announce
the
intention
of
projection
would
be
a firm
com-
tradeoff
simplicity
target
path
the
economy."
62
effect
GNP were
would
its
with
would
GNP back
the
for
grips
economy.
price-output but
longer-run
and the
difficult
Congress
projection of
the for
simple
paragraph
on whether
nominal
and the year
that
an oversimplification
expansionary
numerical
a five-year
is
that
as important
variety--as
GNP targetting,
Congress, The
all,
expansion
the
paper
k percent
the
nominal
nominal
the
proposals
feedback
of
if
bring
cycli-
shocks
The dynamic
differ
future,
What
initiate
the
the
rigid
state
and for
monetary for
with come to
the
excessively to
path,
policymakers. fectly
In
proposal
of
a more
the
"Once
be judged
below
Hall's
like
to
as necessary
slipped
is
have
questions.
least
GNP than
these
involves
level.
GNP targetting
response
it
detail
of
previous
thus
(1969)--in
price
is
it
nominal
be adjusted
Friedman
GNP rule
whether
at
real
would
that
up,
economy
and targets.
do not
GNP and the
nominal
rule--or
is
problems
proposals
Milton
of
is
because
dynamic
the
point
in the
instruments
serious
that
shocks
is much more
terms,
policy
on two
the
and
does
more
Unfortunately,
effect effect
simple
between
whether
impact
goes the
GNP targetting
impact
GNP targetting
The propagation
interaction
money
the
level in
in somewhat
focuses
The main
nominal
price slack
and as it
nominal
do to
fluctuations?
effect
level,
to examine,
effect
GNP targetting
price
business cycle as the impact effect. for nominal GNP targetting described
almost
light
paper
when the
The resulting
on the
fluctuations.
fluctuations?
propagation
to
this
GNP rule,
amount.
pressure
paragraph,
nominal
cal
by an equal
of
on macroeconomic
a nominal
may not is
a major
be reconsidered
accord
per-
compensating annually
in
In
fact,
there
targetting
refers
or whether
it
no base
to
Yet
In
the
the
Karl
targetted
with
focuses
on the
disagreement rate
levels
Robert
Brunner full
of
base
of
GNP along enormous
(1983)
assumes
that
On the
other
nominal
whether
GNP, with
nominal is
drift. of
about
nominal
Gordon's
(1983)
levels
of
distinction
examining
targetting,
even
growth
the
refers
drift.
namics.
is
to
hand,
GNP along
the
for
for
the Hall's
with
the
dy-
nominal
growth
rate
GNP
that
proposal
growth
drift,
path
importance
is
GNP
base
a growth
proposals it
nominal
full
is
clearly
path
with
no base
the
impact
effect
drift. The of
next
nominal
section
starts
I then
set-up.. propagation
set
examination
a simple
up a simple
of various
should
be
The macroeconomic the
price
GNP is
aggregate
dynamic
framework
Therefore,
it
interested
in
the
quantities
of
interest
to
examine
the
target; as
in
are of
the
it
nominal
GNP per
fluctuations
nominal
rather,
be evaluated
IN A TEXTBOOK MODEL
fluctuations
components
a final
should
supply-demand
proposals.
level--the not
of
static
THE IMPACT EFFECTS OF GNP TARGETTING
No one se. GNP and
a brief
using
go on to
effects
I.
nominal
with
GNP targetting
GNP.
in real
In
this
sense
an intermediate
is
an alternative
to
other
target.
intermediate
targets. In tive Ml
this
section
as
target.
intermediate
reserves, with
the
time
of
the
impact.
equally period
aggregate
of
corresponding vertical
aggregate based
theory
misleading
impact
effects
It
assumed
is This
or to
and
that
nominal
for the
were is
use of
GNP and policy--
nominal
this
and
no difference that
a simple
GNP
difference
GNP and Ml
policy
alterna-
monetary
rate--affect
there
demand
each
in the
can
be con-
be fixed
textbook
curve
and an aggregate
macro
model.
real
output
Y is
be due
either
price-adjustment to
of from
as if
textbook
could
a sticky refer
as the nominal
instruments
I abstract
rule
Ml)
between
for
model
of
supply.
an elementary curve
(say
federal-funds
permits
an aggregate
axis
supply to
the
and aggregate
to
the
the
supply
difference
section
and that
1 shows
money
that
or
this
analysis.
demand
Figure on the
well
is
base, In
on the
the
trolled
targets lag.
entirely
on the An important
monetary
a longer
focus
is
I focus
intermediate
the
curve
the
to
The price horizontal
a Lucas-type
theory. as
63
on
a "supply"
supply
In the curve;
curve
level
P is
axis.
The
informationlatter rather,
case it
it is
PRICE A LEVEL
GNP
AD (MONEY
REAL OUTPUT
FIGURE
1
64
m
TARGET)
TARGET)
simply
a price-adjustment
curve
output
deviates
from
keeping
with
of existing
that
The slope
GNP or the
is
intermediate
the
If
la. shifts. the
aggregate
respect
to
spect to
interest interest
then
the
In
mand
for
this
money
on the
or
below. will
shift
there
is
an hyperbo-
real
spending is
whenever
there
is
is
an
will
with
for
rethese
the
target,
a shift
shift
when
autonomous
of
with
values
supply
curve
never slope
demand
money
the
GNP
curve the
money
numerical
the
on whether nominal
then of
of of
If
set-up,
when
in
If
demand
target,
elasticity
range
form
real is
depend
curve
aggregate
elasticity
curve
curve
demand
the
A probable
demand
when
terminology
target.
intermediate
and on the
reduced shifts
demand
aggregate
then
depends
adjust
supply
intermediate
the
be considered
aggregate
velocity.
The
aggregate
the
prices
textbooks.
is the
is
curve
rates rates.
will
the
fixed,
supply
demand
elasticities
of then
GNP is money
how
output.
supply
target,
the
shows
elementary
shifts
money
nominal If
potential
and the
nominal
that
in
the
shift
in
dereal
spending.
Shocks
Velocity
When the output
aggregate
and on the
ticipated.)
It
targetting fects
is
of
the
therefore money
should
that
targetting
A nominal
money supply
there
shifts
in
target
provides
an
impact
on real
of
as unan-
principle,
with
GNP target
is
be thought
nominal
respect
to
the
cushions
the
impact
GNP
impact
ef-
of
such
no cushion.
Shocks
Price
A "supply" curve.
The
shock, impact
demand curve. the
to
shocks.
shifts,
(The
clear
superior
while
curve
level.
is
velocity
shocks,
demand
price
If
supply
effect flat
aggregate
This
would
-money
will
estimated slope where demand
the
the
According
aggregate is
curve
for
the
slope
nominal
of to
demand of
these
steeper
Which
curve. is
65
a shift and
-1.
logs
real
demand
is
The slope The aggregate
A
output. targetcurve?
function
when Ml is in
a small
intermediate
demand
in
policy.
than
aggregate money
aggregate
then level
more
estimates
GNP targetting
steep,
supply
the
an accommodative
measured
log-IS
aggregate of
price
prices
a simple
curve the
on the
the
slope
very
policy.
to the
estimates
is
cushion
a nonaccommodative
of
on the
represent
would rise
a shift
curve
impact
would
curve
GNP--gives
logs.
b < 0
a large
is
depends
demand
This
demand
1 shows in
of
have
represent
shock,
a shock
aggregate
output.
or nominal Table
such
the
curve
on real
or a price
of
for
targetted,
Ml the
-(.23
-
of
aggregate
the
demand
.096b), curve
TABLE
Money-Demand
Sample: Dependent
Function
1954-m variable:
log(Ml/P)
Coef.
t-stat
log(Ml/P)~,
.627
4.0
log(Y)
,229
4.5
-.097
log(R) constant
R2
Note
= .92
:
1
*
The
= .59
estimation
method P is
0
coefficient.
0.4
0 = .017
justment. rate,
-3.4
.408
is
the
the
is
data
least
GNP deflator,
standard All
two-stage
error are
based
Y of
the on
is
squares
real
GNP,
regression, annual
66
averages.
with R is and
a
the p
is
serial
correlation
six-month
commercial
the
first-order
adpaper
correlation
will
have
a slope
of
-1
for
money-stock
targetting
if
b is
equal
to
about
The aggregate demand curve for money-stock targetting is steeper than -8. in the case of nominal GNP targetting for b larger than 8 in absolute value.
Equivalently
respect
to
targetting
interest
is In In
range. the
in
absolute
of
being
.125
advantage run.
The impact target
than
perfectly rate,
this monetary
base,
or
path.
For
the
money-demand the
GNP is
slope
of
results
the
A very Few of
which
of
the
interest that
nominal
expected
curve
by N* is curve
equal
to
again
equals
log(R) the
=
is
in
-1.
This
of
g smaller of
accommodation would
give
nominal
target.
the
inflation
by
one-to-one
and
An interest-rate after-tax and the
account.
67
are
by how much
in To
interest effects
When nomicase
special
the case
this,
reaction
the coef-
a nominal
GNP
specific
about to
rule
devi-
has many
be effective
rate, of
-
nominal
which
response
reaction
target.
then
tradeoff.
GNP targetting
interest-rate real
provided
from
for
than
the
GNP
g(log(PY)
(b-g)/g.
infinity,
price
interest
period,
target
choice
of
the
the
the
be adjusted
of
within
and
to
GNP deviated
values
would
rate
long
nominal
in
For
be the
the
the
by a money-
holding
Thus,
for
should
than
steeper.
any
in
responsive
nominal
demand
g is
reaction
of
has
more
tradeoff. amount
GNP from
be larger
than
an increase
replaced
rate,
proposals
disadvantages rate
the
the
sensitive the
instruments
ations
is
Rather
occurred
be
aggregate
demand
curve
be more
for
reaction
fixed,
one-to-one
g affects
rule.
the
the
aggregate
demand
ficient
of
case
completely
targetting run
this
the
Demand
could
call
interest
perfectly
in the
aggregate
of
slope
held
is
cushioned
Aggregate
suggests.
might
the
is
elasticity
short
reserves--whenever
equation R is
of
would
if
example,
where
Slope
analysis
constant,
the
GNP
be within This
would the
nominal
to
0.
targetting
GNP is
GNP target
rule
its
nal
simple
bound
money-stock
in
on real
than
near
GNP with
money-stock
GNP target.
nominal the
the
log(N*) 1, GNP. Then
shocks
and the
the
case
real
then
stock
time
any
accommodative
price
is is
money of
In
by a nominal
practice
shocks
and
of
-.125, shocks
elasticity
a period
more
price
elasticity
the
value.
elasticity 0 and
to
vertical,
Adjustments
In
short-run between
the
run
after
of
than
Instrument
is
Only
stock
run
short
curve
accommodative. than
short
very
IS
the is
accommodative
the
the
if rate
more
targetting. where
stated,
the
taxes
which
the requires
be taken
into
II.
PRICE AND OUTPUT DYNAMICS IN THE UNITED STATES
To examine
the
consider
a simple
States.
The model
described
in
targetting
rule
The
propagation dynamic is
the
model
given the
version
the
with
variables
(P). GNP and P is is
assumed sample
expectation in
method
which
in
more
in the
second
The first and
the
The with
price
decisions.
taken
as
(t-values
(2)
output
by
cross-equation The
first
growth
represents
the
The numerical maximum
restrictions
cross-equation
equation
is
rate
average
the
real
output
the
t-l.
obtained
inflation Y is
Potential
that
Et-l
and where
average
such
period
were
(y)
annual.
the
notation
the
the
are
year,
(1985).
of
real
of
y in
rational values likelihood
as explained
restrictions
based
Y*
on the
occur behavior
of
equation. to a dynamic aggregate
corresponds
equation aggregate
corresponds' supply
expectations
structural
coefficients
real
a level
through (2)
of in
equation
second
function. relation
The
Taylor
GNP
as follows:
p = (P-P-1)/P-1,
data
per
zero.
output
model
a nominal
+ 1.17.
and
All
and
two-equation how
(1)
detrended
with
account
in
expected
output
are
period,
(1)
takes
detail
(2)
on information
equations
United
(1.6)
3 percent
is
based
shown
because
at
sample
period
estimated
+ ytwl
GNP deflator.
grow
this
the
(l-3)
y = (Y-Y*)/Y*
the
to
GNP during the
explicitly
static examine
period
(2.5)
(1) and
in
More
in
+ .55,
yt = -1.01~~~1 + .69ptq2
The
the
then
empirically
(3.6)
(-3.5)
inflation
I first
dynamics.
+ .25Etmlyt
(10.1)
GNP targetting,
and
of I
1954-1983 sample
.89ptVl
nominal
output
section.
affect
for
of
of
a dynamic
is
Pt =
model
previous
would
in parentheses)
effects
of
I suppose for
the
to
function
demand
is
pressure
that
this
type
of
68
dynamic
a
essentially (as
aggregate policy
rule
supply
function,
aggregate a Phillips
measured
by y)
supply
function
changes
that
demand curve affecting can
we consider
be
Notice
below.2 permanently
that
above In
but
such
though
it
would
flation
to
be one
run
Phillips sample
period.
current
output
with
The
form
made
in
my
high
such
in
not
consistent assumed
inflation.
previous
to
inlong-
the
data
for
functional
corresponds
(e.g.,
Al-
lagged
a vertical
in this
aggregate
insti-
paper.
with
This work
reacts
inflation
of
impose
driven
were
this
coefficient
and thereby
be
a policy
considered
I have
inflation
of
the
is
to
be one or two
zero.
lagged
from
As with
one.
lation
between the
action
The
simultaneously the the
first
vice about
not
form with
the
Taylor
(1979))
demand
disturbances
sumptions
made
the
It and allow For
how of
but
all above.
the these
equation
is
the
and
possibilities, That
all
the
no current in
that
with
re-
comparison all
inter-
no simultaneous
interaction
allow current inflation in is
the
value
a whole
are
in
occurs
this
focus
on
interaction
occurs
real the
the
two
of
equations.
disturbances,
continuum. the
output second
continuum
structural
in
the coefficient of lagged inflation and the coefficient change with a change in policy regime. For example, would decline if policy became less accommodative, for In this paper I do not formally model these effects.
69
zero,
different
assumes
there
I
output from
is
all
a
constrained
Hence,
lags
we could current
one
data;
paragraph.
course, be possible to genereffects. But there are many
between any
there
(2).
impacts
correlation identify
that
opposite:
would, of for current
current
the
different
model
generally,
next
autoregression,
through
the
example, not allow
More
large
to
assumed
in
assumes
fit
insignificantly
is
dynamic
to the
coefficients
second-order
inflation
versa.
possible
consider
it
no lags. model
knowledge
is
%th probably inflation persistent.
and model
equation,
or
assumptions
than
output
in
certain
a coefficient
inflation
model,
simply
given
insignificantly
has
possibilities.
equation,
with
(1)
and
is
general
period
equation
with
alternative
Without
one
static
dynamic
was chosen
equation
a coefficient
static
between
effects. alize
In a more has
output
simple
the
autoregression
periods
and output
equation of
a second-order
lagged
with
second
interpretation
It
it
that
permanently
the
is
affect
could
a lag.
structural
in
also not
that
not
(1979))
constraint
Note
output
if
constrain
in Taylor
does
fact
shift is
to
this
that a
would
intervention
(as
assumption
implies
maintaining
be possible
that
the
by
equation
policy
this timing
the
curve,
captures
equation
normal
my view
rate. tuted,
this
Rather
structural with
of expected the coefficient then inflation
a lag
asis
demand would of lagged would be less
a
convenient
conceptual
Examining the
the
robustness
alternative The
simplification
as
period. rising.
This likely
plicit
in
and
the
the
nature
behavior
are
the
1966-67,
1969-70,
of
for
the
appearance
of
a type
with
inflation
in
the
there
are
aggregate
also
business-cycle implicit
in this
the
two-equation
shocks
gives real Table dies
output
y based
2 give
impact
the
The "yy" on
ations,
itself. there
the
shock--that
to
turbances,
and
for
the the
is is
only
im-
type
of
inflation
in
"pp"
inflation
imply.
to
the
of
reduce dynamics
(1) results
real
GNP and
autoregression
is and
It is useful by
this
the
inflation
(1) for
and
the
on
infinite respond
It
the the
inflation
year
of
until
the
"py" and
the
column
to each
cyclical
I identify
aggregate
supply
output
effect
shock
economy. real
of
gives the
(1))
shocks of
p and
The columns
(equation
equation--with
70
the
sense
equation.
inflation,
effect
hitting to
in-
The moving
labeled
characterization
shock--that
this
variables
(2).
each
inflation
shocks
in at
for
The column
give
the
dynamics.
representation
an
this
look
how the
in
insignificantly
autoregression.
or
shock
of
to
of
in equations
(2))
to
of
in equation for
coefficients
of
has
dynamics is
autoregression,
columns
types
would
the
some
(2) one-to-one
rule
vector
pattern.
impact
other
rate
equation
vector
average
average
Et-Iyt
equation
(equation
two
the
this
of
affect
eliminate
business-cycle
model
According are
of
GNP rule
that
a description
output
the and
in-
when
is
GNP falls
a nominal
to
implied
an obvious
gives
sample
inflation it
rate,
GNP targetting
data.
moving
moving
be
the
function.
simply
on the
an output "yp"
output.
the
to if
face
real
autoregression
the
of
or develops of
labeled able
fits
the
2 shows
can
inflation
even
in the
equation
needs
substitute
is
Table
some of
trend
GNP growth
inflation
as
the
constrained
either
to the
Fed,
GNP rule:
nominal
representation
to
out
in
reaction
a characterization
(2)
Examples
lagged much
unconstrained
representation
to
during
when
stringency
the
it to
model
average
average to
the
real the
vector
This
from
moving
terms
bivariate
rate.
different
of of
run,
a new
estimated
a constrained flation
short
(2)
more
reaction
nominal
If
equation
equation
relative
response
of of
fluctuations,
Using
below
operation
decision-making.
other
demand.
approximation.
1979-81.
presence
the But
even
of monetary
1973-74,
in in
declines
Fed
periods
reported
function
GNP declines
policy
a bad
extension.
real
negative
to
not
results
function of
high
strong due
Except
demand
rate
is
perhaps
be a useful
a policy-reaction
rate
most
policy
would
aggregate
The growth
inflation
the
assumptions
estimated
terpreted
of
and
on
varifluctu-
equation--with
one dis-
TABLE
Moving
Average
Representation
2
for
Inflation
and
Output,
1954-83
PP
1.oo
Standard
PY
YY
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1.00
.64
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86
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-.14
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deviation
of
inflation output
Correlation
YP
shocks shocks
between
shocks
1.0
percent
= 2.1
=
percent
= .23
71
aggregate
demand
between
the
positive
two
shocks
are
correlation
shown
between
standard deviation than The four columns following
The
disturbances. the
(1)
interpretation:
rise
due to
the
positive
quires
lead
to
a subsequent It
is
to
2 a "supply-shock in
turn
the
the
cycle
money
two
in
which
originally
boom-bust
theory
output the
the
standard
In
rules I then
than
does
the
larger
demand
supply
I
look
the
effect
affects
the
at
a boom but the
boom re-
shocks
cause
to get of
rid
as
aggregate
columns
of
which
inflation.
a "boom-bust
theory"
Simiof
demand--due
perhaps
to
Fed reacts
this of
sample period, the variability
theory. is
Table
inflation
as the
During fraction shocks
of
This half
about
to
the the of
is primarily as large as
NOMINAL GNP TARGETS ON THE CYCLE
the
business in
fully
shocks.
examine
rule
by
two
supply-shock
of
cause
first
a recession boom.
not
effect
cycle. equation on the infinite
of
alternative
nominal
GNP
This is (2) with
done simply alternative
by replacing nominal GNP
dynamics
of
by examining
moving
average
the
cycle
representation.
Rules each
of
deviation
on the
replacement
Consider start
a
policy
Growth-Rate
year.
about by ‘the
for
section
historical
targetted
to
THE EFFECT OF ALTERNATIVE
targetting
how this
Fed tries
does
positive
inflation.
supply
shocks
output
inflation
(3)
Fed
caused
in the
cycle:
accounts
to
of the
be thought
bring
of
rid
can
caused
deviation
this
rules.
get
the
the
overshoots
cause
on prices;
inflation
given persistent
shock
to output
shocks the
be are
an inflation
because
as the
positive
standard
fall
dynamics
the
columns
and inflation
III.
the
of
shocks--eventually
inflation
because'
to
can
markets
correlation
There is some have a larger
inflation
shocks
positive
the
a recession
last
to
to
of
tight
because
call
theory"
causes
larly,
output (4)
coefficients
positive of
and
of Table 2. Demand shocks
shocks
effect
(2)
recession
tempting
bottom
positive the
a slump
deviations
shocks.
effect
shocks to inflation cause accommodate the inflation; eventually
the
inflation shocks. of moving average
eventually but not permanent; and then returns to the mean; to
at
standard
the Suppose
first year year. that
the at
case
where
a constant
There is the rule
the rate,
growth regardless
rate
of of
nominal conditions
GNP is at
the
no correction for mistakes in the previous stipulates that nominal GNP will grow at 3 72
percent
each
of
since
zero
of this
year.
This
rule
Because
y is
trend, growth
the
the
of
when two
this
2 gives
possibly
used.
rate
The algebra
the
actual
of
real
to
the
change
per
year
target
how
a nominal of
dynamics.
growth
GNP. in
y plus
for
The 3
nominal
the
unit
price
GNP rule to
is
the
not
would
unaltered
also
by
assumed
getting
aggregate
3 with
rule is
is
in-
to each
Table
setting shocks
and
shocks
Comparing
demand
shocks
output
GNP growth-rate
that
the
nominal
of
for
we consider
the
size
the
size
a 3 percent
rate
representation
assumes
The
the
3 percent
out
implicitly so that
GNP from
growth
As before,
of
rule.
real equal
average
trace
estimate
reducing
of
one-to-one
Overall,
the
comes
of nominal
policy.
GNP rule.
There
The
to
credit
demand
for
curve
in
react
to That
in
a larger
there
is
The boom-bust
cycle
(yy)
GNP rule
does
do
price
shocks of
larger much
this
GNP rule.
overshooting
not
in
Again,
an over-reaction is also
that
increase
a nominal to
more
Note
as the
same amount.
accommodative
also
reacts
yp column).
shock,
by the
that
nominal
(the
the
implicit
less
is
GNP rule
to
than
the
in-
to
this
type
for
the
nomi-
improve
the
dynamics.
An alternative rate.
of
output
is
nominal
shocks
year
tradeoff
indicates
GNP rule.
the
price
the
real
GNP rule
which
business-cycle the
Yt might
reduces
nominal
rate,
to in
price-output
historical
flation
policy,
amount
reaction
immediately
the
the
to
this
inflation
vides
is
and by a larger
part
This
inflation
year.
comparison.
quickly
nal
per
(3).
moving to
the
Compared
is
rule an
in
The
p.
the
unchanged,
this
an average
the
therefore
equation
The comparison
remain
with 3 percent
of
3 gives
GNP is
equations
change
plus
inflation
3 shows
flation
work.
at
deviation
y
implies
of
the
in
nominal
rate
Table
Table
proportional
of
GNP therefore
the
consistent
GNP grows
- Pt.
change
rate the
is
real
is
Yt = Y&l
plus
rule
potential
lagged
to
the
GNP rule
inflation
in
rate
rather
lags
in the
equation than
(3) to
would the
have
current
real
GNP
inflation
is, = Yt-1
- Pt-I-
be one way to model
an interesting
comparison
with
the 73
effect estimated
of
policy.
It
reaction-function
also
profor
TABLE
Cyclical When
Behavior a Nominal
Inflation
GNP Growth
Rule
and
Output
is
Used
PP
YP
PY
YY
I .oo
-1 .oo
.oo
I .oo
.51
-I .51
..70
.80
.06
-I -57
.30
.50
-.27
-I .30
.32
-.45
-.85
.26
-.08
-.49
-.36
.I7
-.25
.07
-.32
-.42
Note :
of
3
-.29 -.13
.07
.I8
.35
-.Ol
-.31
.49
- .07
- .24
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.39
-.lO
-.I4
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.24
-.I0
- .04
.l5
.09
-.08
.04
.I3
- .04
-.05
.08
-.02
.I0
The
columns
replacing
are equation
the
infinite (2)
with
moving equation
average (3).
74
representation
of
the
model
obtained
by
to
policy: equation Table
get
(2).
4. The
Table
rule effect
of
this
dynamics
in
Table
economic
2 and Table
cessions type
than
the
the
current
worse
bust
are
also
under
is
target
in
those
in
and the
re-
Overall, GNP rule
in
in
shown
than
larger.
used
system
inflation
larger
a nominal
function to
in cycle
considerably are
idea
lag
business
the
the of
1954-83
nominal
GNP in
this
period. this
way.
are much better.
GNP Rule
the an
with
final
alternative
rules
after
disadvantage
rule
would
growth
rate
One such
rule
the
basis.
growth-rate
equilibrium
important
output
of
second
boom to
larger
be a good
properties
The problem
than
4 are shock
are
not
the on the
from
policy-reaction
certainly
A Modified
omit rule
inflation
fluctuations
The dynamic
are
we simply
The swings an
under
would
shoot
3.
following
business-cycle It
this The
deficiencies
of
have
the
of would
constant;
nominal
or
these
types
level
real
for
supply of
GNP)
keep
the
that
is,
GNP is
demand
real
of
to
nominal
rate
over-
dynamics
GNP rules.
inflation
inflation
they
Such
GNP relative
react
that
shocks.
plus
An
to
trend
on
a one-to-one
(rather
the
proportional
Yt = -Pt(4) where
the
constant
rule
because
side.
Its
that
the
is
inflation dynamic
rather
price-adjustment
Table
5 shows
the
a unit
generate
any
boom-bust
not
increase If
show more
moving price
This
or
output
after
movement
is
evident
throughout
to modified
one-to-one nominal
basis GNP rule
the
is
average
level
shock.
not
One-to-One
the
that
this
temporary
generate the
(assuming below.
case rule
only
the
of
not
output
expected
shock
overshooting one-to-one
(4),
does to
on
demand
decline
GNP
right-hand
shock
depends (l), The
of
on the GNP rule
for
Note
shocks. period
nominal
as we indicate
representation
does
inflation.
is
accurate)
inflation
rule
a modified
a nominal
in equation
GNP rule this
is
An unanticipated
the
Modified
with
than
inflation
nominal breaks
price
appeared
flation
The
the
because
output
this
better (1)
cycle.
persistence.
that
and demand
inflation
actual
Alternatives
than are
equation
again
output.
Note
properties
assuming does
omitted.
would of
in-
output-price
in inflation.
Rule in equation
A more one-to-one
general
relation. 75
(4)
moves version That
is,
real of
output the
on a
modified
TABLE
Cyclical with
Behavior
a Nominal
Based
and on
Inflation
Lagged
Inflation
PY
YY
I .oo
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1 .oo
.64
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1.12
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1.26
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1.06
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-.54 -.26
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88
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:
Output
YP
PP
Note
GNP Rule
of
4
The
columns
replacing
are equation
the
infinite (2)
with
moving equation
average (3a).
76
representation
of
the
model
obtained
by
TABLE
Cyclical
Behavior with
Note:
of
5
Inflation
a Modified
and
Output
GNP Rule
PP
YP
PY
YY
I .oo
-1 .oo
.71
-.71
.51
-.51
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-.09
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- .07
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- .03
.02
-.02
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1.oo .oo .oo .oo .oo .oo .oo .oo .oo .oo .oo .oo
The
columns
replacing
are equation
the
infinite (2)
with
moving equation
average (4).
77
representation
of
the
model
obtained
by
Yt = -BPt, where
the
(44
special
have
the
more
or
fied
nominal
case
of
same general less
too
large,
and
price
features
accommodative GNP rule 6 can
the
is
being
used to
and
state
variances
the
variance
the
shocks
are inflation
to
a trade-off
in
the
model
of
Taylor
in
(4a)
Any
nominal money.
would
not
serial
persistence,
be
calculate from That
the 1954
this
judgment
are
on output by the
with
calcurule
is
covariance the
steady-
as 8 increases
of
output
and output
the
increases.
fluctuations,
8 for
the
the
relative
about
rule
for
that
modi-
that
when
formulas
variance of
be made the
described
inflation
will
modified
as GNP rule
importance
of
FORECASTING VELOCITY
If
requires
velocity
possible.
In so that
through
Ml
the
velocity
shifts
show
to forecast money
followed
in
the
and temporary,
shocks
possible of
Fed offset
unanticipated
velocity
is
setting
1983,
the
were
fact, it
appropriate
that
shocks
SHOCKS
a great
velocity
supply.
During
a random
walk
vethis
deal
of
and thereby the
period
with
drift.
is,
where
the
1.7
policy
according
et
target
velocity.
= 2.6
serially If
the
+ et
uncorrelated
this level
following
log(Ml)t is
is
percent.
to to the
v
- log(GNP/Ml)t-l
residual
deviation
where
the
inflation
The choice
on a value
log(GNP/Ml)t
best
and
of
indicate
if
fluctuations
a distribution
They
can
Hence,
easily
The
it
rule
fluctuations.
GNP rule
of
and
from
This but
B.
The effect
output
derive.
of
output
most
between
IV.
locity
to
is
drawn
(1979).
depends
and output
lead
covariance.
decreases,
is
rule. rule,
value
one. of
are
easy
the
economy
sample
there thus
below the
one-to-one
one-to-one
to
variance
Hence,
inflation
thought
in
estimated
of
as the
be reduced
steady-state
equal
the
by changing
fluctuations
lating
6 = 1 is
behavior GNP is
with of
to
(5)
set
mean zero
velocity the
and standard
continues,
money
supply
then for
the
period
t
rule:
= -log(v)t-l According
- 2.6
(6) to
equation 78
(5),
this
would
reduce
the
standard is
deviation
set
of
so that
period.
it
The
locity,
when
velocity
money
supply
the
Brunner nominal
takes is
growth
takes shows
of
GNP with
In
practice, into
spread
of
extent
that
cones
focusing
cedures.
The
simple
principle
be
improved
justments
are
they
is
permit
changes
in
long-run
goals.
Thus policy.
Fed far
order
to
nominal
choose GNP.
fiscal
policy
fiscal
policy
It
is
than
instruments
are
also of
better
most of
difficult policy
aimed
affect
to
do this
by choosing
goals
monetary
the to
much as any other
adjustments
is
monetary can
that
main
that
it
lead
to
sacrifice
instrument
and therefore
money
it to
monetary
velocity
of is
velocity
supply
offset
in ad-
forecasting
by coordinating policy
could these
stating
short-run
when
it pro-
changing
discretion
the
factors (5)
while
as the
of
operating
of these
spending,
other
To the
these
about
for
over-
and
However,
policy
settings
growth
factors.
Such
actions
its
takes
by equation
velocity, at
opti-
to
aggregates
current
discretion
total
fiscal
appropriate
its
change.
is the
Fed
by these
implied
on monetary
has on velocity,
V. The
can
account the
the
when
than
leads
to offset
The danger
more
of
and regulation
information.
offsetting
that focused
policy take
take
than
motivating
behavior
monetary
method such
policy
the
the
in
to
dynamics.
technology
GNP
using
Fed to other
I have
to
nominal
constant
targetting
the
targets
is rate
GNP rather
mistakes
influenced
monetary
and subjective.
is
Fiscal
necessary
greatly
the
by
the
that
for
extrapolation
reasons
velocity
are
money
shocks
in
targets
on
difficult
for
velocity
as changes
Fed adjusts
of
business-cycle
ve-
rule
growth
feedback
past
next
period.
the
section, for
existing
The
the
the
optimal
of nominal
previous
forecasting such
target the
implicitly
targets
of
system. the
the
no correction
when
account,
financial
that
in
that
supply
period's
previous
keep
rate
level
last
the
to
growth
during
is
in the
policy
the
velocity
Hence,
The reason
and a continuation
factors
the
targetting
As was shown
nominal
shooting
keep
walk.
we are
walk. best
The money
velocity
to velocity the
percent. in
period's
a random
to
1.7
expected
next
that
is
about
change
in proportion
a random
that
rate.
rate
is
of
GNP constant
mal here
the
the
forecast
(1983)
velocity
GNP to
offsets
best
set
nominal
target
policy
the
in
change
and that
shocks.
LAGS IN THE EFFECT OF MONETARY POLICY problem affect
with the
nominal
components 79
GNP targetting of
nominal
is
GNP--real
that
the
GNP and
inflation--with occurs
whether
interest for
the
rate
To see section
used
it
one year
appears
words, instruments
of of
justment
policy,
m on
on the
t-values
are
simply
states
that
used
in
equation justment tive hand (7) (7).
which
below
get
the
of
than
current form
(1)
and
behavior
values, equal
let
of the
a rather
and multiply
in
denoted the
at
an
by m.
The
price
ad-
to
minimize
lag.
equation
and
than
the
the
of
The equation money
With longer
of
for
m,
lags
the term
value
of
with
the
particular
the was
real
money
from
three-equation
.707.
by 6; add this
of alternaon the
right-
Substitute to equation
(9) in
y + ap the
growth
to
mt = (a-.65a)/(a(I+.256))Pt.
(10) 80
the
a price-ad-
+ .256)mtTl,
fluctuations
data,
omitted
effect
equation
to
equation
To see the first
relative
annual
and were
rule
coefficient
(7)
(A quarterly
and m.
+ a(1
be equal
growth
When combined
a policy p, y,
Yt + BPt = (.656-a)ptml that
One output
R2 = .83
this.
(7).
constants)
(omitting
of
value
the
gives
implies
other policy
explicitly
through
1981.
coefficients
resulting
of money should
(Ml)
this
In the
coefficients.
a one-year
precise The
1967 to
rate
the
This
by
in
m.
with
look
work
estimated
the
insignificant
like
(7)
the in
simple
the
parameter (1)
I
D.W. = 1.92,
GNP with
and
equation
side
reported
(1979).)
generates
into
growth
function
above, to
I estimate
money
money supply
from
+ 1.2, (5.4)
real
small
to
output
is:
- pt-I)
be made more
Taylor had
y to
assumed
period form
an increase
affects cannot
growth
model
sample simple
= .707(mt-I (8.0)
inflation
in
(1).
where
timing
the
changes
causes,
demand (2)
then
leads
this
output
case
and
two years.
problem
equation
is
output
(Ml)
aggregate
in this
a particularly
Yt
in
inflation
equation
I focus with
as
for
growth
relating an
than
monetary aggregate, or the real During the last 15 years,
by about the
inflation
instrument.
money
of
for
a higher
inflation
using
implicit,
instrument effect
that
equation than
longer
base,
magnitude
a simple rather
is
as a policy
and leads the
lag
monetary
is
example,
about
The
a lag.
rate
This
rule
lation
for
the
between
there
is
a slight
coefficient rule
that
is
very for
(10)
incorporates
small.
above
takes
The
following
business-cycle During
having
used
GNP
a reduction look
lags
the
a nominal
(say
the
but
in
in
like
the
effect
of
effects
of
the
this
analysis
of
the
cycle:
the
effects
to
of
examine
focus
the
solely
nominal
GNP targetting
dynamic on
by always
reacts
to
much of
a type
of
lagged
when combined cycle
effects
the
of
growth
causing
it
the
One the
on
the
rate
economy
change in 'or
pending
from
inflation
reduce
the
rule
the
the
procedure.
could
to
worsen
overshoot
its
This
the
price
level.
than,
one-to-one
relative
in
rule The
welfare
and
can
which
This
rule,
contributed
of
to
GNP rule
level
real of
of
real
keeps of
GNP and the
to
GNP to
output
that deviations
be generalized of
business-cycle
proportional
the
significance
rule
and "boom-bust"
length
nominal
involves
reactions
has
overshooting
and the
rule
inflation.
as
behavior.
this
a modified rate
be interpreted
a growth-rate
equation,
amplitude
is
Fed can
is
changes
prevent
inflation
trend.
It
and "boom-bust"
must
more on the
lagged
the
price-adjustment
rule such
sum of
output
and
overshooting to
period,
GNP rule.
a simple
is
fluctuations. constant
postwar
nominal
A new policy if
the
inflation
with
by causing
(3)
permit
less
inflation,
de-
fluctuations
versus
fluctuations.
(4)
The actual
operational
nominal
instrument are
GNP targetting.
difficult namics
that
re-
6 = 1,
after-shocks.
(2)
rule
is
necessarily
of
lagged
increases
here
not
account
summarize
business
fluctuations
equilibrium
than,
inflation
stringency
would
the
cx = .7 and
CONCLUDING REMARKS
conclusions on the
In evaluating (1) it is important economy, Nominal GNP rules that
real
of
where
policy.
GNP targetting
cycles
when point
target
explicit
effect
case
in monetary
VI.
the
the
The essential
an increase
that
the
For
in money growth
y + p grows
in
monetary
supply
and inflation.
increase
calls
m) whenever policy
money
output
to and
usually This
evaluate thereby
not
because the
adjustments
influence
necessary
specified lack the
of
in
of
a nominal
81
various
specification
instrument
fluctuations.
the
to make a nominal
adjustments GNP rule
proposals
makes
the
affect
GNP for
policies the
on business-cycle
dy-
(5)
Many proposals
the
lags
with different implicit
As
in
in some of
the
proposals.
is
evident
out
the
proposals.
be dealt
much
easier
to
state plan
interpret
Fed
in
realistic for
GNP rule,
forecasts
to
goals
with of
and fiscal
the
take
account
nominal policy.
82
for
rule,
the
of
problems
can
lags
the
in
no rule
GNP would
policymakers and
is
explanations
or even
nominal
GNP growth
than
emphasized
these
on nominal
Congress
a
and has attempted
of
The aims of
require
policy
has
several
another
explicitly
lags
come up in simple
discussions
their
paper GNP rules
paper,
performance. if
this
nominal
proposals
deal
Such
of monetary
usually
policy
conjunction
monetary
not
the
a nominal policy
for
do not
policy.
instruments
in the
focussing
improve The
have
by modifying
But whether
greatly
proposals that
GNP targetting monetary
conclusions,
As indicated
instituted,
view
these
recent
problems
with
economy.
intended
from
with
point
should
the
setting
to
stated.
of
for
of
is
nominal
operation
procedure
difficulties
all
for
the
GNP were the
would clearly
administration
conditional
at
in my
on their
be
References Bean,
C. (1983)
Targetting
Nominal
Income:
An Appraisal,
Economic
Journal,
93:
806-819. Brunner,
K. The
(1983)
Politics
of
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Policy
Monetary
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Friedman,
its
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Shadow
and Position
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Annual
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the
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M.
(1969)
The Lag in the ty of Money
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of
Monetary
Essays.
Policy,
Chicago:
The Optimum
Quanti-
Aldine.
R.J. (1983)
The
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No.
1221.
of
Domestic
Monetary
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NBER Working
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R.E. (1983)
Macroeconomic and Public
Meade,
Statement
Remarks
Export-Import
Hall,
and
M.
(1984)
Gordon,
Myopia
Policy
Policy,
under
Federal
Structural Reserve
Change,
Bank of
Industrial
Kansas
Change
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J.E. (1978)
The
Meaning
of
Internal
Balance,
Economic
Journal,
88:
423-
435. Poole,
W. (1980)
Taylor,
Commentary,
Brooking3
Papers
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of
on Economic
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NO. 1; 79-85.
J.B. (1979)
Estimation Expectations,
Econometrica,
83
a Macroeconomic 47:
1267-1286.
Model
with
Rational
Taylor,
J.B. (1985)
Improvements and Prices, University
in
Macroeconomic
The American of
Chicago
Performance:
Business Press
for
Cycle:
The
Role
Continuity
National
Bureau
of
Wages
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J. (1980)
Stabilization nomic
(1983)
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Ten Years,
Brookings
Papers
on Eco-
1: 19-72.
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Industrial
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