speeches · March 16, 1982
Regional President Speech
Frank E. Morris · President
-----~~-~-----------~
..
,
DO THE MONETARY AGGREGATES HAVE A FUTURE
AS TARGETS OF FEDER.AL RESERVE POLICY?
by Frank E. Morris
President
Federal Reserve Bank of Boston
Remarks presented at a Conference on
"Supply-Side Economics in the 1980s"
Sponsored by the Emory University Law and Economics Center
and the Federal Reserve Bank of Atlanta
Atlanta
March 1 7 , 1 9 8 2
(To be printed in the March-April issue of The New England
Economic Review, published by the Federal Reserve Bank of Boston)
-
,
Economists in recent years have been writing prolifically
about a new phenomenon--sudden, unanticipated shifts in the
public's "demand for money," shifts which have not been
explained by the traditional determinants of the rate of growth
of the nominal GNP and changes in interest rates. This much
greater instability in the money demand function coincided in
time with the increased pace of financial innovation. Has the
public's demand for money really become much more unstable,
or does it just seem more unstable because of our inability
to measure money accurately in a world of rapid financial
innovation?
The pace of financial innovation has led us to the point
where any definition of the money supply must be arbitrary
and unsatisfactory. Any definition of the money supply will
include assets that some people view as short-term investments
(not transactions balances) and will exclude other assets
that some people view as transactions balances. For example,
a
percentage (probably small) of money market funds are used
as transactions balances and ought to be included in the money
supply, but the great bulk of money market funds are viewed
as short-term investments by their owners. Perhaps a survey
could determine what percentage of money market funds should
be included in the money supply, but there is no reason to
believe that the percentage revealed by a survey would be
stable over time. Furthermore, money market funds are only
...
-2-
one of an array of new financial instruments that an inventive
market has spawned in recent years and some unknown part of
these new instruments ought to be included in the money supply.
Therefore, I have concluded, most reluctantly, that we
can no longer measure the money supply with any kind of
precision. The consequences of such a conclusion are obviously
far-reaching and will be discussed at a later point. For now,
let me reassure the reader that my position is not widely
shared by my colleagues in the Federal Reserve System.
In the simple financial world of my graduate school days
(circa 1950) we had no problems in distinguishing money from
other liquid assets. Money consisted of currency and.demand
deposits. These were the only vehicles by which payments
could be made. Of course, we recognized that there were
"near-monies," but "near-monies" had to be converted into money
before a payment could be made. Moreover, costs were incurred
in converting "near-money" into money, if only the cost of
taking your passbook down to the bank and arranging to transfer
funds from a savings account to a checking account. The costs
were, of course, more formidable in transforming other "near
monies," such as Treasury bills, into money.
Four factors combined to change this simple world:
(1) The sharp rise in interest rates, which dramati
cally raised the opportunity costs of leaving
funds in noninterest bearing deposits.
.
.
-3-
(2) The development of the computer, which reduced
to minimal levels the cost of transferring
liquid assets into money. It is difficult, for
example, to imagine such a complex system as the
cash management account developing in the pre
computer era. The cost of operating the system
would have been prohibitive.
(3) The prohibition against the payment of interest
on demand deposits, which creates a great
incentive to transform the demand deposit into
an income-earning asset, whenever feasible.
(4) The structure of reserve requirements, which puts
a heavy franchise tax on anything called a trans
action account. This gives an advantage to
institutions not subject to reserve requirements
to offer a similar financial service on a more
advantageous basis.
This wave of financial innovation might have little
enduring significance if it could be argued that it was
largely concluded and that innovations in the future would
have little effect on the growth rates of the monetary
aggregates. Unfortunately, both seem highly improbable.
Interest rates are likely to decline in the years ahead.
Certainly, the Federal Reserve's long-term policy is designed
to produce this result. However, there is no reason to believe
-4-
that interest rates will fall so low in the foreseeable future
as to eliminate the incentive to shift demand balances to some
form of earning asset.
Conceivably, the Congress could reduce the incentives
for innovation by passing legislation removing the prohibition
against the payment of interest on demand deposits and permitting
the payment of interest on reserve balances held at Federal
Reserve Banks. However, such legislation also seems highly
improbable in the foreseeable future. The Congress has a long
list of banking reform issues on its agenda, but the list does
not include either of these proposals.
Thus, it seems unlikely that the incentives for financial
innovation will be substantially reduced in the years ahead
and the cost of computer transfers is likely to continue to
decline. Moreover, the intensified competition between banks,
thrift institutions, and nonbanking institutions offering
financial services, is likely to stimulate innovation.
The particular innovation likely to have the most impact
on the monetary aggregates in the next few years is deposit
sweeping--an attractive service under which deposit balances
over a specified amount are shifted automatically into an
income-earning asset on a daily or weekly basis. At present,
deposit-sweeping is largely confined to the accounts of large
corporations, although this is a prominent feature of cash
-5-
management accounts available to individuals. To calculate
the demand balances of large corporations accurately today,
they should be measured between 9 a.m. and 10 a.m., before
the deposit-sweeping operation occurs. Since it is our practice
to calculate the money supply on the basis of balances at the
close of business, we obviously miss a large part of corporate
demand balances, funds which will automatically reappear in
the corporate account the next morning or a few days hence.
Clearly, these swept balances are considered by the corporate
treasurer to be part of his corporation's money supply, but
it is only the unswept balance which enters the national
Ml statistics.
Here again, if the movement to deposit-sweeping were to
be limited to large corporations, the impact on the monetary
aggregates in the years ahead might not distort the monetary
aggregates unduly. Unfortunately, deposit-sweeping appears
to be in its infancy. There is ample evidence that it is
being offered to medium-sized and small businesses and will
soon be offered to consumer accounts as well. If the cash
management accounts that brokerage firms offer provide deposit
sweeping to their clients, progressive banking institutions
can do no less. Given the continued decline in the cost of
computer terminals, it seems probable that in the not too
distant future, the middle class consumer may have the
capability at home of sweeping his account as often as he
chooses by activating his bank's computer.
-6-
Unless this vision of the future is completely without
merit, it would seem that the problems of measuring the
"money supply," however defined, will be formidable in the
future--as will the problems of interpreting the significance
for monetary policy purposes of the numbers coming out of
the Federal Reserve's computer.
Thus far, we have confined our remarks only to the
problem of differentiating money and liquid assets. There
is also a companion problem to be considered--the problem of
differentiating money from debt. In 1950 I was taught that
money could be differentiated from debt (at least private debt)
in that money was a generally accepted medium for payment and
that debt had to be converted into money before it could be
accepted in making payments. That relationship is currently
being stood on its head. In the case of overdraft accounts,
credit card systems where the holders of cards may activate
credits by writing a check and cash management accounts at
brokerage houses, the payment is made by check before the debt
is created. Certainly, the widespread development of such
systems of automated credit programs must substantially reduce
the need for precautionary deposit balances, a function that
we used to talk about as one of the principal roles of money.
The financial world has been revolutionized since 1950,
but the measurement of the money supply is little changed.
We have exhibited in recent years a strong nostalgic urge to
.
.
-7-
retain a statistical concept of transaction balances, even
though we understand intellectually that innovation and the
computerization of the financial system have made it impossible
to draw a clear line between money and other liquid assets.l/
Where Do We Go from Here?
It is one thing to point out the inadequacies of Ml as
a target for monetary policy, it is quite another to find an
alternative. The problem sterns essentially from the limited
tools available to the FOMC Manager. The Manager can control
the federal funds rate (as he did prior to October 6, 1979)
or bank reserves (as he has done since then) or some combination
of the two. It follows that, if the Manager is to be accountable
to the FOMC, the instructions given him by the Committee must
be framed in terms of the variables he can control, the federal
funds rate or bank reserves. This simple fact raises serious
obstacles to the control of variables other than Ml.
Let us take a look at possible substitutes for Ml and
comment on the problems in controlling them. Could we go with
the broader aggregates, M2 and M3? Perhaps, but they, too,
can be distorted by shifts of funds which have no monetary
l/At the December 1980 FOMC meeting, I argued that we should
not have a 1981 guideline for Ml, since with the movement to
nationwide NOW accounts, the Ml numbers would be impossible to
interpret. With 1981 now in the record book, the results support
my position. M2, M3, and bank credit bear a reasonably expected
relationship to nominal GNP, but the extremely slow growth rate
of Ml was a complete surprise. No one has yet found a satisfactory
explanation for it.
.
;
-8-
policy significance. One example--to the large investor,
money market funds, bank CDs, Treasury bills and high-grade
commercial paper are fairly close substitutes. In a period of
rapidly rising interest rates, it may pay the large investor
to get out of money market funds, because the rates paid on
the funds tend to lag the market. If he moves into a large
CD, MZ goes down but M3 remains unchanged. If he moves,
instead, into Treasury bills or commercial paper, both MZ and
M3 go down. Similarly, savings bonds are fairly close substitutes
for small CDs and money market funds. Presumably, the bulk of
the substantial decline in savings bonds in recent years has
been reflected in a shift· into small CDs or money market funds,
shifts which have increased M2 and M3. Shifts of these kinds
have no significance for monetary policy, so it would seem that
aggregates subject to these shifts are not ideally suited as
targets for monetary policy.
If we are to abandon the concept of "money-ness" and to
use liquid assets as a target, it would seem to follow that
we should use total liquid assets, with the Federal Reserve
being charged with incorporating new forms of liquid assets
as soon as they become significant. The case for using any
particular subset of liquid assets, such as M2 or M3, would
not seem to be very compelling. Alternatively, we could use,
as a target, total credit creation (excluding the debts of
I •
-9-
financial institutions) or the nominal GNP.I/
2/
-Two Nobel prize winners, James Tobin and James Meade,
have argued that the target for monetary policy should be
the nominal GNP.
See Tobin in Controlling Monetary Aggregates III,
Federal Reserve Bank of Boston Conference Series, October 1980,
p. 75.
Professor Meade in his Nobel prize lecture stated:
If the velocity of circulation of money were
constant , a s t ea d y r a t e o f gr o \,· t h i n th c to t a 1 mo n c y
demand for goods and services could be achieved by a
steady rate of growth in the supply of money, and this
in turn could be the task of an independent Central
Bank with the express responsibility for ensuring a
steady rate of growth of the money supply of, say,
5% per annum. It is a most attractive and straight
forward solution; but, alas, I am still not persuaded
to be an out-and-out monetarist of this kind. It is
difficult to define precisely what is to be treated
as money in a modern economy. At the borderline
of the definition substitutes for money can and do
readily increase and decrease in amount and within
the borders of the definition velocities of circulation
can and do change substantially. Can we not use
monetary policy more directly for the attainment of
the objective of a steady rate of growth of, say,
5% per annum in total money incomes, and supplement
this monetary policy with some form of fiscal regulator
in order to achieve a more prompt and effective response?
"The Meaning of 'Internal Balance'," The Economic Journal,
September 1978, pp. 430-431.
Henry Kaufman has long argued that monetary policy should
be focused on credit creation as a target rather than the
monetary aggregates. See Controlling Monetary Aggregates III,
Federal Reserve Bank of Boston Conference Series No. 23,
October 1980, p. 68.
Benjamin Friedman has argued for a dual money and credit
target. See his article in this issue.
.
. •
-10-
The difficulties begin to.arise when we attempt to
establish a control mechanism for the alternative targets.
There is no support within the FOMC and very little outside
of it to return to the pre-October 6, 1979 practice of attempting
to control any of these variables by controlling the federal
funds rate. The two fatal flaws in the old ~ystem were:
(1) that we did not know how much of a change in interest rates
was needed to meet our objectives and (2) given that fact and
given also the awareness of FOMC members of the impact that
sharp interest rate changes have on both the domestic and foreign
economies, there was a systematic tendency on the part of the
Committee to raise (or lower) interest rates in smaller
increments than the situation required. The action taken was
frequently too little and too late and, as a consequence,
monetary policy was frequently more procyclical in character
than any Committee member would have thought appropriate.
It has proven much easier for the FOMC to agree on a
monetary growth path and to accept the interest rate conse
quences of that path than it was for the Committee to make
explicit decisions to change interest rates to the extent
required. As a result, since October 6, 1979, interest
rate adjustments have been much prompter and the changes in
interest rates have been of a scale necessary to maintain
reasonable control over the monetary aggregates.
-11-
If we agree that it would not be prudent to go back to
using the federal funds rate as the control instrument, that
leaves us only with bank reserves. Unfortunately, the structure
of reserve requirements (12 percent against transactions balances
3 percent against nonpersonal time deposits and no reserves
against all other liabilities) is well-suited for the control
of Ml, but not well-suited for the control of anything else.
We are in a Catch 22 situation in that the one thing we are
well-positioned to control through bank reserves is no longer
a meaningful target for monetary policy.
To control the broader monetary aggregates, a uniform
reserve requirement against all liabilities of depository
institutions would be desirable. This would require new
legislation which would be politically feasible only if the
Federal Reserve were authorized to pay interest on reserve
balances, and that proved to be politically impossible as part
of the Monetary Control Act of 1980.
Of course, it makes no sense to talk about controlling
through bank reserves, in any direct way, such broad targets
as total liquid assets, total nonfinancial debt, or the
nominal GNP. These can be controlled only indirectly through
the effect of the growth rate of bank reserves on interest
rates and the subsequent impact of changing interest rates
on economic activity.
II
-12-
But, perhaps, the differences may not be as great as they
seem. It can be argued that in a world of liability management
where (unlike the banking system of the college textbook) banks
first make loans and then buy the money to fund them, it is
interest rates and the effect of interest rates on economic
activity that fundamentally determine the growth rate of Ml.
A Proposal for Change
There may be several ways to deal with the dilemmas I have
described. I would like to suggest a possible solution which
would entail a minimum of change in our present procedures.
The goal of monetary policy would be stated as the rate
of growth of total liquid assets, total debt of the nonfinancial
sector, or the nominal GNP. The word goal, rather than target,
is used to emphasize that we cannot fine-tune these variables
with monetary policy alone. In the present context, the goal
rate of growth of the chosen variable would be one which would
be compatible with a continued deceleration of the inflation rate.
At the beginning of the year, the FOMC would make an
initial judgment as to the "expected" rate of growth of total
bank reserves to be associated with the goal. Let us assume
that the FOMC's goal is a 10 percent growth in the total
liquid assets and that a 5 percent growth in total bank reserves
would be expected to be associated with that goal. The execution
of monetary policy would be essentially unchanged. The staff
would calculate the week-to-week reserve growth path that would
-13-
be consistent with a 5 percent annual growth rate and the FOMC
Manager would allow the federal funds rate to fluctuate to the
extent needed to stay on that reserve path.
If the actual rate of growth of total bank reserves needed
to support the Committee's goal turned out to be the same as
the S percent "expected" rate, no changes would be needed. If,
however, we were to find that the goal of the FOMC would more
likely be achieved with a rate of growth of total bank reserves
lower than 5 percent, the reserve growth path would be revised
downward. Bank reserves would be an instrument, not the goal
of monetary policy.
Of the three goals for policy mentioned earlier, my first
choice would be total liquid assets, primarily because it seems
to offer the easiest transition from the current system. Since
the weakness of the present system stems from our inability to
draw a clear line between money and other liquid assets, moving
to a total liquid asset goal would seem to be a logical next step.
Furthermore, the relationship between total liquid assets
and the nominal GNP is very stable and predictable (much more
so than the relationship of Ml to the nominal GNP) and it has
exhibited no substantial change in recent years.I/ The debt
of the nonfinancial sector also has a very stable historical
i/For an analysis of the relationship of Ml, total liquid
assets and the debt of the nonfinancial sector to the nominal
G~P, see the appendix written by my colleague, Richard M. Ko~cke.
-14-
relationship to the nominal GNP, but more difficult data problems
would be encountered with its use as a goal for policy than would
be involved with total liquid assets.
Control theory would suggest that the nominal GNP should
be the preferred goal. One advantage of the nominal GNP as a
goal is that it would upgrade the quality of the dialogue on
monetary policy. There ~ould be much more substance in such a
dialogue than the current one over an Ml, the meaning of wl1ich
is growing increasingly obscure.
Monetary policy can influence the nominal GNP, but it
normally has relatively little influence on how growth in the
GNP is divided between increases in prices and real output.
Another advantage of a nominal GNP goal for monetary policy is
that it would emphasize to both management and labor that the
tradeoff for increases in real output and employment is continued
reduction in the inflation rate.~/
Despite the advantages in theory of a nominal GNP goal, it
may offer problems in practice. It may be more difficult for
the FOMC to obtain a consensus on a nominal G~P goal than it
would be to obtain a consensus on total liquid assets. In addition,
i/James Meade, "The Meaning of 'Internal Balance'," pp. 428-
429. If one is going to _aim particular weapons at particular
targets in the interests of democratic understanding and respon
sibility, it is, in my opinion, most appropriate that the Central
Bank which creates money and the Treasury which pours it out should
be responsible for preventing monetary inflations and deflations,
while those who fix the wage rates in various sectors of the
economy should take responsibility for the effect of their action
on the resulting levels of employment.
-15-
problems may arise in reconciling the FOMC's GNP goal and the
Administration's GNP objective. For these and, perhaps, other
reasons people wise in the ways of Washington might opt for
alternative goals, control theory notwithstanding.
Conclusion
The use of the monetary aggregates as targets for monetary
policy rests fundamentally on the assumption that the relationship
of the aggregates to the nominal G~P is relatively stable and
predictable. Financial innovations raise serious doubts as to
the continued validity of that assumption. The argument that
Ml is "controllable," in the sense that the broader goals are not,
is not compelling if Ml is no longer a reliable guide to policy.
Ml velocity has been difficult to predict in the past,
particularly since 1974. It is likely to become even more
unpredictable in the future for two reasons. First, there is
the simple fact that the collection of assets we now call Ml
is not the same collection as the old Ml.l/ Therefore, there
is no a priori reason to expect that new Ml would bear the same
relationship to the nominal GNP as the old Ml.
A case in point--the much discussed bulge in the new Ml
in January 1982. If we examine the nature of this bulge, we
i/As Alan Blinder of Princeton said in "Monetarism,"
Challenge, September/October 1981, p. 39:
One result of all these financial innovations
(which, I might add, have improved the functioning of
our financial markets enormously) is that no one knows
what concept of M today corresponds to what we used to
think of as Ml or MZ a few years ago.
.
\
-16-
find that demand deposits increased substantially during the
week of January 6, but declined steadily thereafter. By the
week of January 27, the old Ml was only $1.3 billion higher
than in the week of December 30--hardly cause for alarm. However,
the new Ml showed a bulge of $6.1 billion between December 30
and January 27, 80 percent of which was in NOW accounts.
One interpretation of the January NOW account bulge is that
it reflected a defensive build-up of precautionary balances of
the sort that in earlier times would have been largely reflected
in an increase in savings accounts. Support for this hypothesis
is found in the fact that ordinary savings account balances,
which had been shrinking throughout most of 1981, showed a gain
of $1.7 billion at commercial banks between December 30 and
January 27 and grew by $3.3 billion at thrift institutions during
the month of January.
This experience suggests two questions. First, does a
$6 bi!lion bulge in the new Ml necessarily have the same
significance for monetary policy as a similar bulge in the old
Ml would have had. Second, did the new Ml provide a good guide
for monetary policy in January 1982? I am inclin~d to answer
both questions in the negative.
To further complicate matters, the pace of financial
innovation is likely to mean that the behavior of the new Ml
this year may give us no firm foundation for forecasting its
behavior relative to nominal GNP next year. Let us assume
-17-
that deposit-sweeping becomes widespread in 1983. It is quite
possible, given that assumption, that a 10 percent increase in
nominal GNP might be compatible with a sizable contraction in
Ml and that any positive growth rate in Ml might be highly
inflationary. This is not an unprecedented situation. With
the movement to nationwide NOW accounts in 1981, the old Ml
declined by 7.1 percent while the nominal GNP rose by 9.3 percent.
We tried to deal with the 1981 problem by redefining Ml to
incorporate NOW accounts. How we would redefine Ml to reflect
deposit-sweeping is not clear to me.
To conclude, it seems to me that the monetary aggregates,
particularly Ml, have been rendered obsolete by innovation
and the computerization of the financial system. The time
has come to design a new control mechanism for monetary policy,
one which targets neither on interest rates nor on the monetary
aggregates.
APPENDIX*
A conventional description of the demand for money equates the real money
stock to a function of real GNP, nominal interest rates, and lagged money
balances:1
where
P is the GNP price deflator,
r is a weighted average of the federal funds rate, the passbook savings
rate, the 3-month Treasury bill rate, the commercial paper rate, the
5-year government bond rate, the 20-year government bond rate, and the
dividend-price ratio on the Standard and Poor's index of 500 stocks.
The weights are defined by the first principal component of these
variables,
£ is a random disturbance.
This relationship implies that money velocity (Vl = GNP/Ml-R) is described by
the following equation:
The first equation could be used to describe the demand for real balances
for each of three financial aggregates -- Ml-B, liquid assets (L), and net
debt (n). Each of these three demand relationships then yields its own
velocity equation. Therefore, the velocities for liquid assets (VL) and net
debt (VD) are described by expressions that take the same form as the
expression for Vl above, but the coefficients B will generally differ for
these three velocity equations.
Estimating the coefficients B for Vl (shift adjusted in 1981), VL, and VD
using annual data from 1959 to 1973 yields the following velocity equations:
(1) log(Vlt) = - 2.1571 + 0.6930 log (GNPtlPt) + 0.0154 log (rt)
(.9370) (.0462) (.0149)
+ 0.2179 log (Vlt-lPt/GNPt-1) + £1t
(.2277)
ovl = 0.0056
*Prepared by Richard W. Kopcke, Vice President and Economist, and Mark
Dockser, Senior Research Assistant, of the Federal Reserve Bank of Boston.
!This demand equation is also examined by Byron Higgins and Jon Faust in
"Velocity Behavior of the New Monetary Aggregates," Economic Review of the
Federal Reserve Bank of Kansas City, September-October 1981, pp. 1-17. Our
definition of r is the same as that proposed by Higgins and Faust.
-2-
(2) log(VLt) • 1.1242 + 0.1729 log (GNPt/Pt) + 0.0474 log (rt)
(.3393) (.2088) (.0241)
+ 0.32QO log (VLt-lPt/GN'Pt-1) + £Lt
(.2303)
,.
cr'JL • 0.0108
(3) log(VDt) = 0.1377 + 0.4627 log (GNPtlPt) + 0.01~0 log (rt)
(.2082) (.1074) (.0120)
+ 0.5181 log (VDt-lPt/GNPt-1) + £Dt
( .114 7)
0v0 = o.ooc;5
These estimated equations were then userl to forecast velocity one year at a
time from 1974 to 1Q81.2 The results appear in Tahles Al to A3.
In each table, the second column is the static forecast error of
velocity. The columns on either side of the second column provide a set of
error tolerance bounds. Assuming the expected value of the forecast error is
zero, the number in the left-hand column is two standard errors below zero,
the number in the right-hand column is tw standard errors above zero.3 The
dynamic forecast errors are shown in the fourth column.
This definition of the tolerance range is not as generous as it might
first appear. If these static forecast errors were inrlepenrlent anrl the
velocity models were stable, the probability that the forecast error for any
year would fall outside tolerance hounds defined in this manner is less than 5
percent; yet the prohability that at least one error would fall outsi<le
2Higgins and Faust ( see footnote 1) report the results of a rlynamic
forecast in r.hart 1 of their article. The static forecast experiment
descrihed here is equivalent to a properly performed analysis of dynamic
forecast errors. Even if these velocity equations were well specified a nd
their coefficients were stable, the dynamic forecasts would tend to stray from
actual velocity; errors tend to accumulate because each forecast depends on
previous forecasts. In a static forecast, the actual values of lagged
velocity are used to prepare each new velocity forecast so the size of each
error is checked when it first appears. If these static forecast errors are
too great to be consistent with the statistical properties of the fitted
model, then the errors of the dynamic forecast will also be unacceptably
large. If the static errors are small enough to suggest the model is tracking
acceptably well, then the dynamic errors will also fall within their tolerance
bounds.
3For a discussion of the deviation of the standard error for each static
forecast see H. Theil, Principles of Econometrics (John Wiley & Sons, Inc.,
1971), PP• 130-145.
.....
'
-3-
the bounds in the entire 8 year sample is about 32 percent. The annual
fore ca st errors are not independent, however, because estimates of the
coefficients, not the true values of the coefficients B, are used in equations
(1) through (3). If there were no reason to believe these estimates to he
biased too high or too low, then the expected value of the forecast error is
zero; but even if the estimation technique were not biased, these specific
estimates of the coefficient B would not match their true values. If these
coefficient estimates tended to produce a low forecast in 1974, they would
tend to produce a low forecast in almost every subsequent year. This positive
correlation among forecast errors would dictate the choice of generous
tolerance bounds for a "fair" test. In other words, the probability that at
least one of the 8 tabulated errors falls outside the bounds as definen above
could be much greater than 32 percent.
Conclusion
This forecasting experiment suggests that the equations for net debt and
liquid assets forecast their velocities most accurately. These financial
aggregates have had the most predictahle relationship tor.NP, suggesting that
these velocity equations plus knowledge of net debt or liquid assets would
have yielded the most accurate forecasts of GNP during the past eight years.
The error tolerance bounds are narrowest for n. The stannarn error of the
static forecast predicted by the estimated equation for n velocity averages
only 0.7 percent of velocity, and the root mean squarerl error of its forecasts
was 0.6 percent of velocity. The predicted standard error for L averages
about 1.4 percent of velocity, but the root mean squared error of its
forecasts was only 1.0 percent of velocity. The Ml-B equation was most prone
to error by a wide margin: the predicted standard error of its forecast rises
from 0.7 percent in 1974 to 3.5 percent in 1981, and the root mean squared
error of its forecast was Q.0 percent.
The tabulated forecast errors suggest that the Ml-R equation is not
stable. If the "true" coefficients B for Vl were stahle from 1959 to 1981,
the probability of all eight forecast errors falling outside the tolerance
bounds is miniscule. In other words, the theoretical velocity equation
discussed at the beginning of this appendix apparently represents Vl very
poorly because the estimated equation cannot reliahJy describe past Vl
behavior or forecast future values of Vl. The estimated equations for VL an~
VD forecast relatively accurately, suggesting that the theoretical velocity
equation may describe VL and VD rather well. In fact, the forecasts of liquid
asset velocity were more accurate than predicted by the statistical properties
of its estimated equation.
TABLE Al
FORECAST ERRORS FOR M-lB VELOCITY
(in percent of actual velocity)
Static Dynamic
Lower Upper
Tolerance Bound Forecast Error Tolerance Bound Forecast Error
1974 -1.5 2.6* 1.5 2.6
1975 -2.4 6.1* 2.4 6.6
1976 -3.0 7.4* 3.0 8.6
1977 -3.5 7.3* 3.5 8.9
1978 -4.O 7.7* 4.0 9.3
1979 -4.7 8.9* 4.7 10.6
1980 -5.4 11.0* 5.4 13.0
1981 -7.1 15.2* 7.1 17.6
9.0
Root Mean Squared Error
*Denotes errors falling outside the tolerance bounds.
. ,.
.
..
. ~
TABLE A3
FORECAST ERRORS FOR NET DEBT VELOCITY
(in percent of actual velocity)
Static Dynamic
Lower Upper
Tolerance Bound Forecast Error Tolerance Bound Forecast Error
1974 -1.4 -0.2 1.4 -0.2
1975 -1.3 0.2 1.3 -0.1
-o.s
1976 -1.3 1.3 -0.6
-o.s
1977 -1.3 1.3 -1.2
1978 -1.3 -1.4* 1.3 -2.6
-o.s
1979 -1.4 1.4 -3.4
1980 -1.7 -0.3 1.7 -3.6
1981 -1.4 0.1 1.4 -3.1
Root Mean Squared Error 0.6
*Denotes an error falling outside the tolerance bounds.
TABLE A2
FORECAST ERRORS FOR LIQUID ASSETS VELOCITY
(in percent of actual velocity)
Static Dynamic
Lower Upper
Tolerance Bound Forecast Error Tolerance Bound Forecast Error
1974 -3.0 -1.9 3.0 -1.9
1975 -3.0 0.2 3.0 -1.8
1976 -2.6 0.1 2.6 -1.3
1977 -2.6 -0.2 2.6 -1.1
1978 -2.6 -0.8 2.6 -1.6
1979 -2.7 -1.2 2.7 -2.6
1980 -3.3 -1.3 3.3 -3.6
1981 1 -2.7 -0.3 2.7 -3.4
Root Mean Squared Error 1.0
lActual value for L derived from average of balances for first three quarters.
Cite this document
APA
Frank E. Morris (1982, March 16). Regional President Speech. Speeches, Federal Reserve. https://whenthefedspeaks.com/doc/regional_speeche_19820317_frank_e_morris
BibTeX
@misc{wtfs_regional_speeche_19820317_frank_e_morris,
author = {Frank E. Morris},
title = {Regional President Speech},
year = {1982},
month = {Mar},
howpublished = {Speeches, Federal Reserve},
url = {https://whenthefedspeaks.com/doc/regional_speeche_19820317_frank_e_morris},
note = {Retrieved via When the Fed Speaks corpus}
}