modeling transmission of oil price shocks in a data rich...
TRANSCRIPT
Modeling Transmission of Oil Price Shocks in a Data
Rich Environment
Knut Are Aastveit† ∗
† University of Oslo and Norges Bank
This version: March 31, 2009
Draft - please do not quote
Abstract
This paper studies the impact of different types of oil price shocks on the U.S.
economy using a factor-augmented vector autoregression (FAVAR) approach. This
framework allows us to study the transmission of oil price shocks to a large amount
of U.S. macroeconomic variables as well as the interaction between these shocks
and monetary policy. We show that oil demand shocks are more important than oil
supply shocks as a driving force behind several macroeconomic variables. Further,
we show that the origin of the oil demand shocks is important. The U.S. economy
responds differently to a shock to global demand for industrial commodities than
to a demand shock that is specific to the global crude oil market. Finally, we show
that monetary policy reacts differently to the different oil price shocks.
Keywords: Oil demand shocks, Oil supply shocks, Business cycle, Monetary pol-
icy, Factor model, FAVAR
JEL Classification: C3, E31, E32, E4, E5, Q43
∗I have received helpful comments from Hilde C. Bjørnland and Ragnar Nymoen as well as seminar
participants at the University of Oslo. E-mail: [email protected].
1 Introduction
The common approach in studies of oil price shocks, is to evaluate the response of macroe-
conomic variables to exogenous changes in the price of oil. An implicit assumption is
that oil price innovations are equated with oil supply shocks. Recently this view has
been challenged by among others Barsky and Kilian (2002), Barsky and Kilian (2004)
and Kilian (2009). The price of oil is, as any other price, driven by both demand and
supply shocks. These shocks may have different effect on the dynamics of the real oil
price and hence also the macro economy. Kilian (2009) proposes a structural VAR model
for the global crude oil market and its interaction with global demand for commodities.
He identifies three different shocks to the global crude oil market; a crude oil supply
shock, a shock to the global demand for all industrial commodities and a demand shock
that is specific to the global crude oil market. His results suggest that the implications
of higher oil prices for U.S. real GDP and CPI inflation depend on the cause of the oil
price increase. While his model is important for understanding the effect of real oil price
movements from the different shocks to the oil market, a shortcoming is that he neglects
the interaction between the oil market, the U.S. macro economy and monetary policy.1
This is important for understanding the transmission of different shocks to the crude oil
market on the macro economy.
Oil price shocks pose a difficult challenge to policy makers by balancing the trade-off
between higher inflation and higher unemployment. Bernanke, Gertler, and Waston (1997)
and Bernanke, Gertler, and Watson (2004) suggest that monetary policy makers have his-
torically leaned toward keeping inflation low at the cost of greater slowdown in economic
activity. That is, the systematic component of monetary policy accounted for a large por-
tion of the decline in GDP growth following an oil price shock. This view was challenged
by Hamilton and Herrera (2004) and more recently by Bachmeier (2008) and is still a
matter of debate. However, the models in these papers are still limited. In particular
they do not distinguish between the response of monetary policy to different type of oil
price shocks.
1His model captures only the interaction between the oil market and the global demand for industrial
commodities.
1
In this paper, we suggest a framework that address all the issues in the papers men-
tioned above. In addition our framework gives details on the transmission mechanism for
a large amount of both aggregated and disaggregated U.S. macroeconomic variables to
different shocks in the oil market. This helps us understand how the U.S. macro econ-
omy reacts to different shocks in the oil market, accounting for the response from the
Federal Reserve. Further, our framework can also clarify whether the shocks identified
in Kilian (2009) really can be interpreted as supply and demand shocks with respect
to the U.S. macro economy. Our framework builds on the factor-augmented vector au-
toregression (FAVAR) approach, proposed by Bernanke, Boivin, and Eliasz (2005). This
framework allows us in a very simple way to study the transmission of different shocks
to the oil market to a large amount of variables. Our data set is similar to the one used
in Boivin, Giannoni, and Mihov (2009). It contains 656 monthly U.S. macroeconomic
variables over the sample period 1976M1 - 2005M6.
We find considerable differences in the response of both nominal and real variables to
the different oil price shocks. First, we show that a positive oil-specific demand shocks
increase the real price of oil and consumer prices and have a negative effect on the real
economy. Hence, it indicates that such shocks yield the well known trade-off between
higher unemployment and inflation often associated with supply shocks. This suggests,
that if the oil-specific demand shocks identified in our model truly are demand shocks
to the oil market, they have an effect on the macro economy that is associated with a
supply shock. We show that the Fed funds rate decreases after a oil-specific demand
shock. This indicates that the Fed have leaned towards stabilizing the real economy
rather than stabilizing inflation.
Second, we find that positive shocks to the global demand in commodity markets have
a large and persistent positive effect on both the real price of oil and consumer prices.
This causes a monetary tightening on impact. The effect on the U.S. real economy is
slightly positive during the first year. The positive effect is reversed after a year and
becomes significantly negative after about 2 years. In other words, shocks to the global
demand for commodities that increase the real price of oil do also have a negative effect
on the U.S. economy. In contrast to other oil price shocks, the negative effect on the real
economy is delayed.
2
Third, the effect of a negative oil supply shock on the U.S. economy is rather small.
It has a weak negative effect on the real economy while prices are almost unaffected.
In fact, there are indications of falling consumer prices, while producer prices increase
weakly. The effect on the Fed funds rate is negligible. To the best of our knowledge this
is the first paper to study the effect of different type of oil price shocks on a wide range
of U.S. macroeconomic variables. It is also the first paper to study the effect of different
oil price shocks applying a FAVAR framework.2
There is a large literature that studies the effect of oil prices on the macro economy.
In a classic paper, Hamilton (1983) showed that all US recessions but one since World
War II were preceded by a spike in the oil prices. Subsequent to Hamilton’s work, a large
body of research have suggested that oil price variations have strong and negative impact
on oil importing countries, see for instance Bjørnland (2000) and Jimenez-Rodriguez and
Sanchez (2005).
The oil price - macroeconomic relationship seemed to loose its significance from the
mid 1980s. As a result several studies have focused on the asymmetric role of oil price
shocks on the economy. Mork (1989), Hamilton (1996) and Hamilton (2003) find that
by assuming asymmetric or non-linear transformations of oil prices, the negative link
between oil price increases and economic activity still prevails. An alternative explanation
for the asymmetric role of oil prices is that the underlying shock to oil prices matters,
as suggested in Kilian (2009). This paper focus on the latter explanation and is the first
paper to study in detail the transmission of different type of oil price shocks on the U.S.
macro economy.3
Finally, oil price shocks are one of the candidates for explaining the great moderation,
both in terms of the ”smaller shocks” hypothesis and the ”better policy” hypothesis.
Recently, there has been several studies that tries to investigate whether oil price shocks
and monetary policy can explain the great moderation, see Blanchard and Gali (2007),
2Boivin, Giannoni, and Mojon (2008) studies the effect of an exogenous oil supply shock on the Euro
area economy.3The effect of oil supply shocks have been studied extensively in the literature. Recent research by
Kilian (2008a) and Kilian (2008b) have documented that oil supply shocks (measured as disruption in
global crude oil production) cannot alone explain the main bulk of oil price fluctuations. His results also
suggest that this type of shocks do not have substantial effect on real growth in any of the G7 countries.
3
Baumeister and Peersman (2008) and Herrera and Pesavento (2009) among others. Typ-
ically, these studies suggest that both the importance of oil price shocks as well as the re-
sponse from monetary policy and macroeconomic variables to these shocks have changed.
To understand the role of shocks to the oil market for the great moderation, it is first
crucial to understand how the monetary authorities reacts to the different type of oil
shocks. Second, it is crucial whether the importance of these oil shocks have changed
over time.
This paper is organized as follows: In the following section we present the FAVAR
model. Section 3 presents our data and discuss model selection issues. Empirical results
are discussed in section 4, while robustness results for various data and model specifica-
tions are presented in section 5. Finally section 6 summarizes and concludes.
2 Model
The empirical framework that we consider is based on the factor-augmented vector au-
toregression model (FAVAR) described in Bernanke, Boivin, and Eliasz (2005). One of
its key features is to provide estimates of the macroeconomic factors that affect the data
of interest by systematically and consistently exploiting all information from a large set
of economic indicators, see Boivin, Giannoni, and Mihov (2009). In our application,
we will estimate the empirical model by exploiting information from a large number of
macroeconomic indicators, as well as from disaggregated data. The framework allows us
to characterize the response of all data series to macroeconomic disturbances, such as
different oil price shocks and monetary policy shocks.
Assume that the state of the economy is captured by a few common components, de-
noted Ct. We are interested in characterizing the effect of different oil price shocks as well
as monetary policy shocks on the macro economy. Hence, we include observable variables
that we can relate to these shocks. For the global oil economy we follow Kilian (2009) and
include 3 observable variables, the percent change in global crude oil production (Δprodt),
an index of the real economic activity that drives demand for industrial commodities in
4
global industrial commodity markets (reat)4 and the real price of oil (rpot)
5. In addition
we include the Federal funds rate (Rt) as the observable measure of the monetary policy
stance. These variables are assumed to have pervasive effects throughout the economy
and will thus be considered as common components of all variables entering the data set.
In addition we extract some unobservable common factors (Ft) from a large data set to
include in Ct. We assume that the dynamics of the common components is modeled as a
VAR and given by
Ct = Φ (L) Ct−1 + ut (1)
where
Ct =
⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣
Δprodt
reat
rpot
Ft
Rt
⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦
, (2)
and Φ (L) is a conformable lag polynomial of finite order. The error term ut is assumed
to be i.i.d with mean zero. The system (1) is a VAR in Ct. The additional difficulty, with
respect to a standard VAR is that the factors Ft, which is a vector of dimension K × 1,
are unobservable. These factors are extracted from a large number of macroeconomic
variables Xt of dimension N×1. We assume that Xt can be described by an approximate
dynamic factor model given by
Xt = ΛCt + et, (3)
where Λ is a N × (K + 4) matrix of factor loadings and et is a vector of series-specific
components that are uncorrelated with the common component Ct. The series-specific
4This is the index developed by Kilian (2009). It is based on dry cargo single ocean freight rates
and is explicitly designed to capture shifts in demand for industrial commodities driven by the global
business cycles. See Kilian (2009) for more details about the index.5The real oil price series is obtained based on the U.S. refiner acquisition cost of imported crude oil.
The nominal oil price has been deflated by the U.S. consumer price index.
5
components are allowed to be serially correlated and weakly correlated across indicators.6
However, note that in contrast to a standard approximate dynamic factor model, we
assume that some of the factors are observable.
2.1 Estimation
We estimate the model by using a two-step principal component approach similar to
Bernanke, Boivin, and Eliasz (2005) and Boivin, Giannoni, and Mihov (2009). In the
first step, we extract principal components from the large data set Xt, to obtain consis-
tent estimates of the common factors. In a second step, we add the three variables from
the global crude oil market and the Federal funds rate and estimate a structural VAR.
In this step we impose the constraint that the three oil variables and the Federal funds
rate are four of the factors in the first-step estimation. This guarantees the estimated
latent factors to recover dimensions of the common dynamics not captured by the global
oil economy and the Federal funds rate. More specifically, we follow the iteration proce-
dure used in Boivin and Giannoni (2008) and Boivin, Giannoni, and Mihov (2009). We
start with an initial estimate of Ft, denoted by F(0)t and obtained as the K first principal
components of Xt. We then iterate through the following steps:
(i) Regress Xt on F(0)t and the observed factors Yt = [Δprodt, reat, rpot, Rt]
′. and ob-
tain λ(0)Y .
(ii) Compute X(0)t = Xt − λ
′(0)Y Yt.
(iii) Estimate F(1)t as the first K principal components of X
(0)t .
(iv) Repeat the procedure multiple times.
Having estimated the factors Ft and the factor loadings Λ, we can now estimate the
VAR in equation (1) with OLS and then seek a more structural representation of the
system.
6The model is an approximate factor model, since in contrast to the strict factor model, the idiosyn-
cratic terms in equation 3 are allowed to be weakly correlated. See Chamberlain and Rothschild (1983),
Forni et al. (2000) and Stock and Watson (2002a) for details.
6
3 Data and Model specification
3.1 Data
We use a balanced panel of 656 monthly series for the U.S. economy.7 The sample
period is from 1976M1 - 2005M6. The data set includes 110 macroeconomic indicators
and covers a broad specter of the U.S. economy and include different series for prices,
industrial production, unemployment, stock prices and interest rates among others. The
variables are mostly similar to the ones used in Stock and Watson (2002a) and Bernanke,
Boivin, and Eliasz (2005).
In addition we follow Boivin, Giannoni, and Mihov (2009) and include disaggregated
data published by the Bureau of Economic Analysis on personal consumption expendi-
ture.8 We include 194 disaggregated PCE price series and the corresponding consumption
series. Finally in order to get a more detailed picture of the characteristics of the price
responses we include 154 producer price series. The choice of starting data is limited due
to the inclusion of the disaggregated price series.9 There are two reasons for including the
additional disaggregated price series. First, the disaggregated price data provide useful
information for the estimation of the monetary policy shock. This is shown in Boivin,
Giannoni, and Mihov (2009). Second, we are interested in the responses of some of the
disaggregated price series to the different oil shocks. In particular, to price series related
to oil intensive sectors. The 652 macroeconomic series and disaggregated price series are
collected in Xt. All series are then initially transformed to induce stationarity.10 In addi-
tion we include the Federal funds rate, the percent change in global crude oil production,
an index of the real economic activity that drives demand for industrial commodities in
global industrial commodity markets and the real price of oil. The description of all the
series in the data set and their transformation are described in Appendix C.
7The choice of data to include in Xt might be important. In theory more data are always better, see
Stock and Watson (2002b). However, in practice this not necessarily the case. Boivin and Ng (2006)
provide examples where adding more data has perverse effects.8The data set is available at Marc Giannoni’s web page.9We could have started the analysis 2 years earlier by excluding the disaggregated price series.
Monthly data on oil production is first available from 1974.10This is crucial when estimating the factors with principal components.
7
3.2 Identification
The system (1) is a VAR in Ct. The additional difficulty, with respect to standard
VARs, is that the factors Ft are unobservable. However, once the factors are consistently
estimated by principal components, we have a standard VAR framework. In this paper
we are interested in studying the effect of different oil price shocks on the U.S. macro
economy and its interaction with monetary policy.
The residuals from equation (1) are correlated and cannot be interpreted as structural
shocks. The solution of equation (1) has the following moving average representation
Ct = B (L) ut, (4)
Assume that the underlying orthogonal structural disturbances (εt) can be written as
linear combinations of the innovations (ut), i.e. ut = Sεt, where S is a ((K+4)×(K+4))
contemporaneous matrix. Equation (4) can then be written as
Ct = B (L) Sεt = D(L)εt (5)
where B(L)S = D(L).
To orthogonalise the shocks we follow the standard literature and order the vector of
shocks recursively by using Cholesky decomposition. That is, we choose an ordering for
the variables in the system that only allows for a contemporaneous correlation between
certain series. Specifically, we assume the following recursive identifying restrictions
Ct =
⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣
Δprodt
reat
rpot
Ft
Rt
⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦
= B (L)
⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣
S11 0 0 0 0
S21 S22 0 0 0
S31 S32 S33 0 0
S41 S42 S43 S44 0
S51 S52 S53 S54 S55
⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦
⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣
εOSt
εGDt
εODt
εFt
εMPt
⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦
(6)
First, the model postulates a vertical short-run supply curve of crude oil. World
crude oil production does not respond within the month to demand shocks in the crude
oil market, shocks to the U.S. macroeconomic factors or U.S. monetary policy. Second,
oil-specific demand shocks, U.S. macroeconomic factors and U.S. monetary policy do
8
not affect the business cycles in global industrial commodity markets within the month.
Third, oil prices are not affected contemporaneously by U.S. macroeconomic factors or
U.S. monetary policy. Fourth, U.S. macroeconomic factors are not allowed to react
contemporaneously to U.S. monetary policy. Finally, the Federal funds rate is allowed to
react contemporaneously to all variables included in Ct. Note that the restrictions above
only concerns contemporaneous relations. After one period (one month), all variables
can react to all the shocks. Further, the model also allows us to impose and test over-
identifying restrictions on the Λ matrix.
3.3 Model Specification
When using factor models, the number of factors is usually exogenously determined.11
The data set we use to extract the factors is similar to the one used in Boivin, Giannoni,
and Mihov (2009). In addition we assume three additional observable factors related to
the oil market. Potentially, one or more of these observable factors can be heavily related
to the unobservable factors in Boivin, Giannoni, and Mihov (2009). We choose the same
number of factors, K = 5, as in their paper. This will guarantee that our factors at least
span the same space as the factors in Boivin, Giannoni, and Mihov (2009). In addition,
we check for robustness of other factor combinations.
We estimate the system (1) and (3) for the period 1976M1 - 2005M6 using the data
described above and assuming 5 latent factors in the vector Ft. We use 13 lags in esti-
mating equation (1).12 Information about the fit of the model and some model statistics
are given in Appendix B.
3.4 Co-movements between US variables and common factors
We first investigate the degree of correlation between U.S. macroeconomic variables and
the U.S. factors and the three variables related the oil market. Table A-5 in Appendix
11Bai and Ng (2002) provide an information criterium to determine the number of factors present a
large data set. However, this does not necessarily address the question of how many factors should be
included in the VAR.12We applied a F-test for model reduction. We could not reject the hypothesis of reducing the model
to 12 lags at a 5 percent significance level.
9
F, shows the correlation between the the unobservable and observable common factors
in equation (2). The unobservable factors are uncorrelated by construction. The table
shows that the oil related factors and the Fed funds rate are correlated both among each
other and with the unobservable factors. In this paper, we are in particular interested
in the effect of different oil shocks on the U.S. macro economy. Before turning to the
analysis of the FAVAR model, we check more formally whether oil factors can predict
U.S. macroeconomic variables (represented with U.S. factors and the Fed funds rate).
We run a Granger causality test, see Granger (1969). The results are given in table
A-3 in Appendix B. We test whether the lags of all oil factors jointly have predictive
power for the current values of U.S. factors Ft and the Fed funds rate. Under the null
hypothesis, the oil factors have no predictive power. The results suggests that all U.S.
common factors as well as the Fed funds rate are Granger caused by the oil factors at
the 1 percent level.
The U.S. common factors, Ft are unobservable and do not have a clear economic in-
terpretation. However, the correlations between all the variables in Xt and each of the
U.S. common factors can give an indication of what these unobservable factors repre-
sents. The correlation between all the 110 macroeconomic indicators and each of the
common factors in Ct (both observable and unobservable), are given in Appendix F.13
The table indicates that the first U.S. factor is strongly correlated with nominal variables.
In particular, it is strongly correlated with different measures of interest rates and con-
sumer prices. The second factor is strongly related to employment measures and housing
measures and to some extent production measures. The third factor is clearly related to
different measures of industrial production and hours worked, while the fourth factor is
related to measures of unemployment. The fifth factor seems to also be related to the
real economy, but is far less correlated with these measures than the second, third and
fourth factor. Finally, both the Fed funds rate and the real price of oil seem to be highly
correlated with measures of interest rates and consumer prices, while oil production has
a rather low correlation with most U.S. macroeconomic variables.
Table A-2 shows the fraction of volatility for a selection of key macroeconomic vari-
13The correlation between the disaggregated price series and the common factors are available upon
request. They are not included in this version of the paper to save space.
10
ables explained by the 5 U.S. factors and the Fed funds rate, the 3 factors from the oil
market and all the factors together (Ct). This corresponds to the R2 statistics obtained
from the regression of equation (1) for the full sample. The last column shows that U.S.
macroeconomic variables are on average strongly correlated with the common factors. On
average, all factors explain about 50 percent of the variance in the U.S. macroeconomic
series and about 25 percent of the total variance in all 652 disaggregated data series.14
Most of the real variables, like industrial production and unemployment as well nominal
variables such as aggregate price series, have a R2 in the region between 0.6 and 0.9.
Financial variables, such as exchange rates and stock prices are on the other hand not
very well explained by the common factors. A large fraction of the variability in these
series are explained by their idiosyncratic terms.
The first column shows that most of the common fluctuations in U.S. macroeconomic
series are determined by the common U.S. factors (including the Fed funds rate). In
fact, the R2 obtained for most of these variables by regressing them on all factors are not
much higher than those found by regressing them only on the U.S. factors. The second
column shows that the oil factors explain parts of the the variability in several of the U.S.
macroeconomic variables. In particular measures for prices and unemployment. However,
note that the sum of the R2 measures in column 1 and column 2, does not correspond
to the fraction of the variance explained jointly by both sets of factors (third column).
The reason is that the U.S. factors and oil factors are allowed to be correlated. In most
cases the oil factors do not seem to explain much more of the variability than already
explained by the U.S. factors. This suggests that the U.S. factors and the oil factors that
explain these variables are correlated. This is confirmed in table A-5 in Appendix F.
4 Results
One of the advantages of using a FAVAR model is that we can analyze the responses
to a large number of variables to different structural shocks, with minimal identifying
restrictions. In particular we can calculate impulse responses to all variables included in
14The reason for this rather low number is that the variation in most of the disaggregated price series
are mainly explained by their idiosyncratic component.
11
Xt. Note that for each variable in Xt, equation (3) implies that
xit = Λ′iCt + eit, (7)
where xit is a random variable in Xt. This formulation implies that each variable in Xt is
allowed to react contemporaneously to all structural shocks despite the recursive ordering
in equation (1). In this way, for instance financial variables included in Xt are allowed to
react contemporaneously to changes in the Federal funds rate. This makes the FAVAR
model very flexible.
4.1 Effects of oil shocks
In the following we will study the transmission of different oil price shocks on the U.S.
macro economy. We will in particular focus on the response of the following six variables:
oil production, an indicator for global demand for commodities, real price of oil, indus-
trial production, the consumer price index and the federal funds rate. We will compare
the impulse responses from our chosen FAVAR model with two other models. First, a
standard monetary SVAR model with oil. That is a SVAR model with the following vari-
ables Yt = [Δprodt, reat, rpot, IPt, CPIt, Rt]′, where IPt denotes industrial production
and CPIt denotes the consumer price index. We use the same recursive identification as
in the FAVAR model and denote this as the SVAR model.
Second, for the three oil related variables, we will also compare the responses with
a version of the model in Kilian (2009).15 That is a SVAR model with the 3 variables
Δprodt, reat, rpot. We denote this as the Kilian model. In addition we will also use the
FAVAR model to produce impulse responses for a few other selected variables of interest.
All shocks are normalized to have a positive effect on the real price of oil and represents
a one standard deviation shock of the present structural shock in the Kilian model. The
structural shocks identified from the FAVAR model are plotted in Figure A-1 in Appendix
D. The shape of the shocks supports the idea in Kilian (2009) that there has been a shift
in the relative importance of oil supply shocks towards oil demand shocks. The timing
15Note that this model differ slightly from the model specified in Kilian (2009) as we use 13 lags
instead of 24 lags. Our sample is also slightly different as Kilian (2009) use data from 1973M1 to
1976M10. However, the results are almost similar.
12
of this shifts coincides with the start of the Great moderation. We will discuss this more
later.
4.1.1 Oil supply shock
Figure 1 shows the responses of global oil production, real economic activity, the real price
of oil, industrial production, consumer prices and the Fed funds rate to one-standard
deviation structural shock of the Kilian model. An unexpected oil supply disruption
causes a sharp decline in oil production upon impact, followed by a partial but slow
reversal within the next years. This shock triggers a transitory increase in the real
price of oil as well as a partial reduction of global real economic activity. Figure A-3
in Appendix D shows that the first effect is significant, while the latter is insignificant.
Further, the shock causes a temporary decline in industrial production during the first 2
years after the shock. It also causes a weak but persistent reduction in consumer prices.
The negative response of consumer prices is somewhat puzzling and do not coincide
with what is normally associated as a negative supply shock. However, the effect is not
significance.16 The monetary policy authorities reacts to the negative oil supply shock
by decreasing interest rates. The effect is however weak and insignificant.
Figure 1 shows some few differences between the responses from the FAVAR model,
the SVAR model and the Kilian model. First, the Kilian model seems to yield a more
persistent response for both the real price of oil and the global oil production than what
is evident in the two other models. However, the differences are quite small. Second,
the response of industrial production is different in the FAVAR model and in the SVAR
model. In particular, the FAVAR model indicates a more rapid and stronger slowdown
of the economy than what is evident in the SVAR model. The response of the Federal
funds rate is also different for the first 6-12 months as well as the response of consumer
prices on longer horizons. That is after 3 years and onwards.
Figure 2 shows the impulse responses of a selection of key macroeconomic variables
to a oil supply shock. The responses generally have expected signs. An unanticipated
reduction in oil supply cause real activity measures to decline on impact. The unemploy-
ment rate significantly increases, while employment measures decrease. The latter effect
16Kilian (2009) finds the similar result.
13
Figure 1: Response to a one standard deviation shock to global oil production.
is however insignificant. Further, the dollar appreciate and the effect on the stock market
is negative. The Commodity price index is somewhat surprisingly reduced on impact.
However, the effect is insignificant and is reversed after about 1 year.
Table A-1 in Appendix A shows the variance decomposition of all shocks for the
variables of interest. The table shows that oil supply shocks are first of all an important
driving force behind variation in oil production itself. However, these shocks also explain
about 5-8 percent of the variation in the real price of oil and the unemployment rate
after 1-2 year and 3-5 percent of variation in consumer prices, industrial production,
employment, commodity prices and stock prices. The contribution of oil supply shocks
to the variability in the Fed funds rate is almost negligible.
4.1.2 Aggregate demand shock in global commodity markets
An unanticipated aggregate demand expansion in global commodity markets has a per-
sistent and positive effect on global real economic activity. Figure 3 shows that this shock
temporarily increases the production of world crude oil with a short delay. The effect is
14
Figure 2: Response to a one standard deviation shock to global oil production.
insignificant and reversed after about 18 months. An aggregate demand expansion causes
a large and persistent significant (see figure A-4 in Appendix D) increase in the real price
of oil with maximum effect after 1-2 years. Further, it stimulates the U.S. real economy
and hence causes a temporarily increase in industrial production and a persistent increase
in prices. This leads to a significant monetary tightening after 6 months which together
with the higher oil price reverse the positive effect on the U.S. real economy after about 1
year. This is somewhat surprising as the positive effect on the global commodity markets
is persistent. This indicates that the negative impact of higher oil prices is larger on the
U.S. economy than for other countries.
There are small differences in the impulse responses from the FAVAR model and the
SVAR model. However, the Kilian model seems again to yield a more persistent effect
on oil prices in addition to a sharp and long reduction in oil production starting 2 years
after the shock.
A global aggregate demand expansion cause real activity measures to temporarily
increase, se figure 4. The effect on the unemployment rate is significant for the first
months. The temporarily increase in real activity measures are then reversed after about
15
Figure 3: Response to a one standard deviation shock to aggregate demand in global
commodity markets.
1 year as interest rate and prices increase. The increase in the Federal funds rate is
significant after 6-12 months and the unemployment rate increases significantly after 2
years. Further, the shock has a positive effect on the U.S. stock market on impact and
leads to a depreciation of the dollar. The effects are insignificant though. The commodity
price index increases on impact as expected. The effect is significant for the first year.
Table A-1 in Appendix A shows that shocks to global demand for industrial com-
modities explains more than 10 percent of the variation in the unemployment rate and
commodity prices after one year and more than 20 percent after 3 years. Further, these
shocks explain about 10 percent of the variation in the Fed funds rate and the real price
of oil after one year and between 8 and 10 percent of the variation in oil production,
consumer prices, employment and industrial production on long horizons. That is after
2-3 years.
16
Figure 4: Response to a one standard deviation shock to aggregate demand in global
commodity markets.
4.1.3 Oil-specific demand shock
Unanticipated oil-specific demand shocks have an immediate, large and persistent signif-
icant effect on the real price of oil. This is shown in Figure 5. Kilian (2009) argues that
this type of shocks capture shifts in the price of oil driven by higher precautionary de-
mand associated with market concerns about the availability of future oil supplies. These
shocks are associated with a strong and temporarily significant (see figure A-5) increase in
global demand for commodities and a very short-run decline in oil production. The latter
effect is insignificant. The oil-specific demand shock has a strong and persistent positive
effect on consumer prices and a negative effect on industrial production. The first effect
is significant for the first year, while the latter effect is insignificant and reversed after
about 3 years. There is evidence of a monetary tightening after the positive oil-specific
demand shock. This indicates that the Fed funds rate reacts to both the price increase
and the slowdown in industrial production. The response is however insignificant.
There are some few differences between the responses from the FAVAR model, the
17
Figure 5: Response to a one standard deviation shock to oil-specific demand.
SVAR model and the Kilian model. First, the Kilian model seems to yield a stronger and
more persistent response for the real price of oil than what is evident in the two other
models. Second, the Kilian model indicates a strong and long lasting negative response
of oil production after about 2 years and onwards. This is not evident in the two other
models. Third, the response of industrial production for the first 2 years are different in
the FAVAR model and in the SVAR model. In particular, the FAVAR model indicates
a more rapid and stronger slowdown of the economy than what is evident in the SVAR
model. The opposite is the case for consumer prices, where the SVAR model yields a
stronger positive response than the FAVAR model for the first years. The response of the
Federal funds rate is also different. This is a result of the differences mentioned above.
The FAVAR model indicates a decrease in the Fed funds rate for the first years after a
shock to the real price of oil, while the SVAR model indicates a monetary tightening.
Figure 6 shows that a positive oil-specific demand shock cause real activity measures to
decrease. The effect is significant for the horizon of 6 to 18 months for the unemployment
rate and 6 to 12 months for employment. There is a strong significant increase in the
commodity price index for the first 6 months as well as for the measure of housing starts.
18
Figure 6: Response to a one standard deviation shock to oil-specific demand.
The latter effect is somewhat surprising. Further, a shock to the real price of oil has
a negative impact on consumer expectations where the effect is significant after about
6 months. Finally, the impact on stock prices is negative. This confirms the finding in
Kilian and Park (2007) that only higher oil prices caused by an oil-specific demand shock
cause lower stock prices.17 The effect is significant for the first 6 months.
All in all, an oil-specific demand shock has a negative impact on the U.S. economy,
although it increases the global demand for commodities. In particular, it has a negative
effect on the real economy and it increase prices. Hence, it causes the well known trade-off
between higher unemployment and higher inflation often associated with supply shocks.
This indicates, that if the oil-specific demand shock identified in our model really is a
demand shock to the oil market, it has an effect on the macro economy that is associated
17Several other papers have found that oil price increases have a negative effect on the stock market
for oil importing countries, see Jones and Kaul (1996), Sadorsky (1999) and Nandha and Faff (2008)
among others. On the other hand Bjørnland (2009) finds that stock prices has a positive effect on the
Norwegian stock market. Norway is an oil-exporting country. However, none of these papers distinguish
between different type of oil shocks.
19
with a supply shock.
The variance decomposition in table A-1 shows that oil-specific demand shocks are
an important driving force behind several of the macroeconomic variables of interest. It
explains more than 15 percent of the variation in consumer prices, producer prices and
commodity prices both in the short and the long run as well as more than 10 percent of
the variation in the unemployment rate for all horizons after the first 2 months. Further,
it contributes to more than 15 percent of the variation in stock prices, exchange rates
and housing starts at most horizons and just below 10 percent of the variation in global
demand for commodities and consumer expectations. After 1 year oil specific demand
shocks contribute to 5 percent of the variation in Fed funds rate and about 8 percent of
the variation in industrial production and employment. The contribution of oil-specific
demand shocks to other variables are more modest.
4.2 Monetary Policy Shock
This paper focus on the transmission of different oil shocks on the U.S. macro economy
and its interaction with monetary policy. For completeness we will in this section briefly
discuss and show the effects of a monetary policy shock on the U.S. economy. This
has already been studied in detail within a FAVAR model by Bernanke, Boivin, and
Eliasz (2005) and Boivin, Giannoni, and Mihov (2009). Hence, we will mainly focus on
whether the inclusion of the oil market data affect the results in these papers.
Figure 7 and Figure 8 show the responses of different macroeconomic variables to
an unexpected increase in the federal funds rate of 25 basis point. As expected, a U.S.
monetary policy shock hardly has any affect on the oil market. There are positive (but
insignificant) movements in both the global demand for commodities and the real price
of oil, while oil production remains constant. Further, a monetary tightening has the
expected negative effect on industrial production and causes a decrease in prices. Note,
as highlighted in Bernanke, Boivin, and Eliasz (2005), that the FAVAR model removes
the price puzzle evident in most standard SVAR models. All in all the impulse responses
are similar to the ones in Bernanke, Boivin, and Eliasz (2005) and Boivin, Giannoni, and
Mihov (2009).
20
Figure 7: Response to a unexpected increase of 25 basis points in the Federal funds rate.
Table A-1 shows that the contribution of monetary policy is as expected. It explains
more than 10 percent of the variation in exchange rates as well as between 3-6 percent of
the variation in prices, the unemployment rate, industrial production and stock prices.
It has as expected negligible effects on global oil production, the global demand for
commodities and the real price of oil.
5 Results of robustness tests
We check robustness in 6 ways. First, we check the robustness of our results with respect
to the number of factors included in the FAVAR. Second, we check for robustness with
respect to the lag length in the VAR in equation (1). Third, we check for robustness
with respect to starting the estimation in 1984. Then we check for robustness with
respect to both alternative identification of the VAR (equation (1)) as well as alternative
transformation of the real price of oil. Finally, we check for robustness with respect to
extracting factors from a smaller (subset of our) data set.
21
Figure 8: Response to a unexpected increase of 25 basis points in the Federal funds rate.
5.1 Different number of factors
The figures in Appendix E.1 compare the impulse responses for several variables to dif-
ferent oil shocks as well as monetary policy shocks choosing respectively 1, 3, 5 and 7
factors. The figures show that the results are robust to the number of factors for most of
the variables. There are however two observations worth mentioning. First, the results
when choosing 1 factor seem to differ from the others. This indicates that 1 factor is not
enough to capture the appropriate dimension of the U.S. economy. Second, for some of
the financial variables, the results differ when selecting 7 factors. The variability of these
variables were not very well explained in our preferred model with 5 factors. Hence, if
responses to financial variables are of particular interest, one should choose more than 5
factors.
5.2 Different lag length
The figures in Appendix E.2 compare the results for different number of lags in equa-
tion (1). Hamilton and Herrera (2004) criticized the results in Bernanke, Gertler, and
22
Waston (1997) for not being robust to the choice of lag length. Bernanke, Gertler, and
Waston (1997) specified a monthly VAR model with 7 lags using U.S. macroeconomic
data. Hamilton and Herrera (2004) showed that the econometric evidence favored a longer
lag length. For model specifications of 12 to 16 lags the results in Bernanke, Gertler, and
Waston (1997) do not longer hold. Several papers have shown that the the maximum
effect of oil shocks on macroeconomic variables lags with around 1 year. This indicates
that one should at least use 12 lags for monthly data. Kilian (2009) argues that the
dynamics is even more persistent and includes 24 lags in his monthly VAR model. We
check robustness of our results for respectively 7, 13, 18 and 24 lags. The figures show
that the results are very similar for the different choices of lag length. There are two
exceptions. First, there are some small differences in the response of industrial produc-
tion and employment to shocks in oil production and the real price of oil. Second, the
response of financial variables differ for the different lag specifications.
5.3 Post 1984
Recent research has provided evidence of widespread instability in many macroeconomic
series,18 of changes in monetary policy behavior19 over our sample (1976M1 - 2005M6),
and of an important reduction in output volatility (the great moderation) since around
1984. Herrera and Pesavento (2009) show that the macroeconomic response of an exoge-
nous oil price shock as well as the response from monetary policy to such a shock has
changed after 1984. Baumeister and Peersman (2008) use a Bayesian time varying VAR
similar to Primiceri (2005) and show that the effect on U.S. GDP and inflation from oil
demand and oil supply shocks have changed over time. In particular, the effects have
changed since the mid 1980s.20
We check whether our results are robust to all these events. The figures in Appendix
E.3 show impulse responses for different variables to the 4 structural shocks for the
18Stock and Watson (1996) and Stock and Watson (2002b) have provided evidence of instability in
VARs.19See for instance Bernanke and Mihov (1998), Clarida, Gali, and Gertler (2000) and Boivin and
Giannoni (2006)20They identify oil demand and oil supply shocks using sign restrictions. They apply their identification
scheme to U.S. quarterly data.
23
sample period 1984M1 - 2005M6. The figures indicate some quantitatively differences
but qualitatively the results are almost the same. However, there are two differences
that are worth mentioning. First, the negative effect on the real economy after a shock
to oil production and a shock to the real price of oil is larger in the post 1984 sample.
As a consequence, the response of the Fed funds rate after such shocks is also larger.
Further, prices react more modestly after a shock to the real price of oil in the post
1984 sample. Second, the effects of a monetary policy shock are different for some of the
variables of interest. In particular, the response of industrial production and employment
are stronger, while the response of prices are much smaller. In fact there is evidence of a
very weak price puzzle. This is in line with results in Boivin, Giannoni, and Mihov (2009).
5.4 Alternative identification
The rather high correlation between the real price of oil and the index of global demand
for commodities with some of the U.S. factors might indicate strong simultaneity. Hence,
we check for robustness when applying recursive identification where the U.S. factors are
ordered above the oil factors in the FAVAR. That is, we assume that the U.S. factors
cannot react contemporaneously to the oil factors. The results are given in the figures in
Appendix E.4. The results are quite similar. There are only two exceptions. First, prices
seem to react somewhat weaker to both a oil-specific demand shock and a shock to global
oil production. Second, the effect on employment after a shock to global oil production
is smaller. As a consequence the response in the Fed funds rate is also smaller.
5.5 Alternative transformation
We use the same transformation of the oil variables in our FAVAR model as in Kil-
ian (2009). In particular, the real price of oil is in logs in our model. Several papers use
instead first difference of the logarithm of the real price of oil.21 We check for robustness
with respect to such a transformation to the real price of oil. The results are given in
Appendix E.5. Again, our results seem to be robust. The only differences are in the
response of financial variables and the response of consumer prices and employment mea-
21See for instance Blanchard and Gali (2007) and Boivin, Giannoni, and Mojon (2008).
24
sures after 3 - 4 years to a oil-specific demand shock and a shock to global oil production.
In addition, the response of the real price of oil to the different shocks is more persistent.
5.6 Smaller data set
In this paper, we extract factors from 652 U.S. macroeconomic variables and disaggre-
gated price and quantity series. We are interested in studying the effect of different type
of oil price shocks on the U.S. economy. Other authors, such as Stock and Watson (2002a)
and Bernanke, Boivin, and Eliasz (2005), have studied the effect of other shocks on the
U.S economy extracting factors from about a hundred macroeconomic series. As a ro-
bustness check, we re-estimate the FAVAR model extracting factors from only the 110
U.S. macroeconomic variables included in our original data set.22
The figures in Appendix E.6 show the results of extracting factors from the small
data set (110 data series) and the large data set (652 data series). The figures show
some differences. First, the negative effect on industrial production from a negative
shock to global oil production is weaker than in our preferred FAVAR model. The same
holds for employment and consumer prices. As a consequence of this, the effect on the
Fed funds rate is almost neutral. Second, the negative effect on industrial production
and employment from a oil-specific demand shock is much weaker than in our preferred
FAVAR model. The response of consumer prices is also larger and together this leads
to an increase in the Fed funds rate opposed to a decrease as indicated by our preferred
model. Third, the response of the financial variables are in general somewhat different.
However, these variables are not very well captured in any of the two models.
6 Conclusion
This paper studies the impact of different type of oil price shocks on the U.S. economy us-
ing a factor-augmented vector autoregression (FAVAR) approach. This framework allows
22Note that to the extent that the disaggregated price and quantity series are also driven by macroeco-
nomic fluctuations, using the larger data set should not ”tilt” the factors in one direction at the expense
of other dimensions in the economy. That is, as long as we have included at least as many factors as
their true number. See Boivin, Giannoni, and Mihov (2009) for details.
25
us to study the transmission of oil price shocks to a large amount of U.S. macroeconomic
variables as well as the interaction between these shocks and monetary policy.
We find that oil demand and oil supply shocks have a rather different effect on the
dynamics of the real price of oil as well as on the U.S. macro economy. In particular, we
find that positive oil-specific demand shocks increase prices and have a negative effect on
the real economy and the stock market. They also cause a monetary tightening. Further,
we find that positive shocks to the global demand in commodity markets have a large
and persistent positive effect on prices. This causes a monetary tightening on impact.
Similar to the oil-specific shocks, these shocks also have a negative effect on the U.S. real
economy. However, the dynamic is different as the negative effect is delayed. Finally,
oil supply shocks have a small effect on the U.S. macro economy and cause negligible
movements in the Fed funds rate. The results are robust to a series of alternative model
variations.
Our results show that there are important differences in both the response of macroe-
conomic variables as well as monetary policy to the different type of oil price shocks. In
particular, oil demand shocks seem to be an important source to macroeconomic fluctua-
tions, while oil supply shocks seem to be far less important. This confirms the results and
conjectures in Kilian (2009). Further, the causes behind the change in oil demand seem
to be important. The U.S. economy responds differently to a shock to global demand for
industrial commodities than to a demand shock that is specific to the global crude oil
market. This indicates that the cause behind the movements in the oil price is important.
Hence, it suggests that monetary policy should respond differently to movements in the
real price of oil, depending on what causes the movements.
26
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7 Appendix
A Variance Decomposition
30
Oil ProductionHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 0 92 0 1 0 2 1 1 36 0 78 3 4 2 3 4 2 312 2 67 7 4 2 3 5 6 424 2 62 8 5 3 4 7 5 548 3 60 8 5 3 4 7 5 5120 3 60 8 5 3 4 7 5 5Global demandHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 0 0 98 1 0 0 0 0 06 0 1 87 4 1 3 2 1 112 1 1 73 8 1 4 7 2 324 1 1 59 9 1 3 6 3 1848 2 1 46 7 1 3 19 2 19120 2 1 43 7 1 5 21 2 17Oil PriceHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 0 2 1 94 0 0 1 0 06 0 10 4 75 2 2 5 1 112 1 8 9 59 3 1 9 1 924 1 6 14 43 3 1 11 2 2048 2 4 14 37 3 2 8 3 28120 3 4 11 35 4 3 9 2 30Factor 1Horizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 10 0 1 2 80 5 1 0 06 14 1 3 2 65 7 1 4 412 10 2 7 2 48 18 3 4 624 7 4 5 4 30 33 6 3 748 7 4 13 3 16 40 7 2 8120 6 3 15 8 12 35 7 2 11Factor 2Horizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 2 2 1 15 1 73 4 1 16 11 3 8 9 7 48 9 3 212 17 2 6 7 6 39 11 8 524 13 2 9 6 6 29 14 9 1248 10 3 10 13 6 23 18 7 10120 8 4 14 13 6 24 17 6 9Factor 2Horizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 1 2 0 5 4 6 74 5 26 3 2 1 9 5 7 62 7 412 3 5 3 10 5 9 53 7 624 3 5 5 11 5 9 48 7 748 3 5 7 10 4 9 47 7 8120 4 5 8 9 5 10 45 6 8Factor 4Horizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 5 2 0 1 10 6 1 73 16 6 4 2 10 8 7 3 59 112 6 5 4 12 9 10 4 49 224 5 6 5 17 7 11 5 41 248 4 5 14 16 6 11 5 34 4120 4 5 15 15 6 11 8 30 6Factor 5Horizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 1 3 1 1 2 24 8 7 546 3 4 2 2 5 22 10 7 4612 3 4 5 6 6 19 9 8 3924 4 4 7 7 6 19 9 9 3648 4 4 8 7 6 19 10 9 35120 4 4 9 6 6 19 10 8 33
31
Interest RateHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 78 0 1 0 14 0 4 0 26 40 0 6 0 13 2 24 11 312 22 1 10 1 9 13 29 9 524 13 2 8 5 6 22 34 5 448 10 3 10 5 5 35 23 4 4120 9 2 12 8 4 34 17 4 10Consumer PricesHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 3 2 0 27 23 9 6 24 56 3 2 4 24 18 11 6 24 812 4 3 8 17 15 20 5 17 1024 5 4 6 13 11 26 6 12 1648 6 3 14 10 8 26 10 9 15120 5 3 15 14 9 22 10 7 15Industrial ProductionHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 0 2 1 1 6 13 61 5 106 5 2 2 6 9 14 48 7 712 6 3 4 6 7 14 43 10 724 5 4 9 6 7 13 39 10 748 5 4 11 8 6 14 36 9 6120 4 4 14 8 6 14 35 8 6Producer PricesHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 1 1 0 36 6 10 7 23 156 1 3 3 34 5 10 6 21 1612 3 3 7 27 6 14 5 16 1824 4 3 6 21 6 18 6 13 2448 5 3 11 18 6 17 9 10 22120 4 4 13 20 8 15 9 8 19Unemployment rateHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 5 2 5 0 1 3 12 57 146 3 5 10 22 2 4 7 40 812 3 8 10 23 4 6 6 32 724 3 8 12 27 3 6 6 27 748 2 5 23 22 3 5 8 20 12120 4 4 21 17 3 9 12 14 16Stock PricesHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 1 1 1 25 0 4 25 39 46 2 3 2 25 3 6 23 33 412 4 4 3 23 4 10 21 26 524 4 4 3 21 6 11 21 23 748 4 5 3 22 7 10 20 22 7120 3 5 6 22 7 11 19 19 7Dividend YieldsHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 4 0 1 7 17 1 59 4 66 6 1 2 12 15 3 50 5 612 7 3 2 13 15 5 42 5 724 7 4 3 13 15 6 40 5 748 6 4 4 14 14 6 38 5 8120 6 4 4 14 14 7 37 5 8Commodity Price IndexHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 1 4 9 14 9 39 10 4 96 6 3 28 8 7 24 15 3 612 12 2 24 6 5 19 18 7 724 10 2 19 5 4 14 18 9 2048 8 2 17 9 4 10 26 7 18120 7 2 17 11 4 11 24 6 17
32
Exchange Rate (Yen)Horizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 22 1 29 16 17 5 5 2 36 13 3 33 13 12 3 12 4 612 10 3 33 11 10 2 18 3 924 9 3 32 12 9 2 22 3 848 7 4 30 14 9 5 21 2 7120 7 4 31 14 9 5 21 2 7EmploymentHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 2 4 1 0 3 45 33 2 116 5 4 1 8 6 34 33 4 612 8 4 2 9 4 31 30 6 524 7 4 12 10 4 26 26 7 548 6 4 14 11 4 23 26 7 5120 6 4 17 10 3 21 26 6 6New OrdersHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 4 1 1 0 0 25 29 0 396 10 2 4 4 8 19 29 4 1912 12 2 4 4 7 16 27 11 1624 10 3 11 4 6 15 26 12 1348 7 4 13 9 5 19 24 9 10120 7 4 18 8 5 19 23 8 9Housing StartsHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 1 1 0 25 1 30 16 25 16 8 2 2 17 13 22 19 16 112 11 2 2 14 13 21 19 15 424 9 3 6 13 14 18 18 13 748 6 5 8 19 13 19 16 9 5120 5 4 16 16 11 21 15 7 5Consumer ExpectationsHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 7 0 1 1 29 4 31 21 66 4 1 1 9 20 5 35 16 812 4 1 3 11 18 6 33 12 1024 4 2 9 11 17 8 27 10 1348 4 3 11 8 12 14 26 7 15120 4 3 17 8 11 14 25 6 13PCE PricesHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 3 0 0 26 41 11 2 11 46 3 1 2 25 33 12 2 11 1112 4 2 5 19 26 19 2 8 1524 5 2 4 14 18 25 3 6 2248 6 2 10 11 13 25 8 4 21120 5 3 11 16 13 20 8 4 21PCE ConsumptionHorizon/Shocks Interest rate Oil production Global demand Oil price F 1 F 2 F 3 F 4 F 51 0 1 0 1 0 22 45 10 216 4 2 1 1 3 20 39 11 1912 5 4 2 5 4 21 33 10 1624 5 4 2 7 4 21 31 9 1648 5 5 5 7 4 21 30 9 15120 5 5 6 7 4 21 30 9 15
Table A-1: Variance decomposition for all variables in Ct and for selected variables ofinterest in Xt.
33
B Model statistics
Variables U.S. Factors Oil Factors All Factors
All U.S. data Xt (average) 0.21 0.07 0.23
US Macro data (110 series) (average) 0.46 0.13 0.49
Oil Production 0.07 1.00∗ 1.00∗
Global Demand 0.34 1.00∗ 1.00∗
Oil Price 0.71 1.00∗ 1.00∗
Interest rate 1.00∗ 0.45 1.00∗
Industrial Production 0.61 0.04 0.62
Consumer Price Index 0.77 0.34 0.80
Unemployment rate 0.72 0.52 0.77
S&P Stock Price 0.09 0.01 0.12
S&P Dividens yields 0.08 0.01 0.09
NAPM Commodity Price Index 0.65 0.27 0.70
Exchange rate (Yen) 0.03 0.02 0.05
Employment 0.56 0.04 0.59
New Orders 0.71 0.04 0.72
Housing Starts 0.52 0.01 0.59
Consumer Expenditure 0.61 0.28 0.62
Producer Price Index 0.49 0.20 0.54
PCE Price (all items) 0.76 0.40 0.79
PCE Consumption (all items) 0.49 0.01 0.50
Table A-2: Shows the fraction of the variance explained by the common factors for selected
variables in equation (3) (R2). U.S. Factors denotes regression including only F and Fed
funds rate as common factors in Ct. Oil Factors denotes regression including only the
three oil variables as common factors in Ct. All factors denotes regression including all
the common factors in Ct.∗ This is by construction
34
Variables P-value
Factor 1 0.000
Factor 2 0.000
Factor 3 0.000
Factor 4 0.000
Factor 5 0.000
Interest rate 0.000
Table A-3: Granger-causality test for oil factors affecting U.S. factors. Table reports
p-values
Oil prod Global demand Oil price F 1 F 2 F 3 F 4 F 5 Interest rate
0.71 0.99 0.99 0.98 0.94 0.81 0.86 0.78 1.00
Table A-4: Correlation between actual and fitted values for the reduced form VAR in
equation (1)
C Description of data set
We apply the following transformations to the raw data in order to induce stationarity: 1
= No transformation, 2 = First differences, 4 = Logarithm, 5 = First differences in logs.
Below is a complete description of the data set.
35
Description TransformationOUT ----------- real output and income
1 INDUSTRIAL PRODUCTION INDEX - PRODUCTS, TOTAL 52 INDUSTRIAL PRODUCTION INDEX - FINAL PRODUCTS 53 INDUSTRIAL PRODUCTION INDEX - CONSUMER GOODS 54 INDUSTRIAL PRODUCTION INDEX - DURABLE CONSUMER GOODS 55 INDUSTRIAL PRODUCTION INDEX - NONDURABLE CONSUMER GOODS 56 INDUSTRIAL PRODUCTION INDEX - BUSINESS EQUIPMENT 57 INDUSTRIAL PRODUCTION INDEX - MATERIALS 58 INDUSTRIAL PRODUCTION INDEX - DURABLE GOODS MATERIALS 59 INDUSTRIAL PRODUCTION INDEX - NONDURABLE GOODS MATERIALS 5
10 INDUSTRIAL PRODUCTION INDEX - MANUFACTURING (SIC) 511 INDUSTRIAL PRODUCTION INDEX - MINING NAICS=21 512 INDUSTRIAL PRODUCTION INDEX - ELECTRIC AND GAS UTILITIES 513 INDUSTRIAL PRODUCTION INDEX - TOTAL INDEX 514 PURCHASING MANAGERS' INDEX (SA) 515 NAPM PRODUCTION INDEX (PERCENT) 516 PERSONAL INCOME (CHAINED) (BIL2000$,SAAR) 517 PERSONAL INCOME LESS TRANSFER PAYMENTS (CHAINED) (BIL 2000$,SAAR) 518 INDUSTRIAL PRODUCTION INDEX - RESIDENTIAL UTILITIES 519 INDUSTRIAL PRODUCTION INDEX - BASIC METALS 5
EMP ------------- employment and hours20 INDEX OF HELP-WANTED ADVERTISING IN NEWSPAPERS (1967=100;SA) 521 EMPLOYMENT: RATIO; HELP-WANTED ADS:NO. UNEMPLOYED CLF 422 CIVILIAN LABOR FORCE: EMPLOYED, TOTAL (THOUS.,SA) 523 CIVILIAN LABOR FORCE: EMPLOYED, NONAGRIC.INDUSTRIES (THOUS.,SA) 524 UNEMPLOYMENT RATE: ALL WORKERS, 16 YEARS & OVER (%,SA) 125 UNEMPLOY.BY DURATION: AVERAGE(MEAN)DURATION IN WEEKS (SA) 126 UNEMPLOY.BY DURATION: PERSONS UNEMPL.LESS THAN 5 WKS (THOUS.,SA) 127 UNEMPLOY.BY DURATION: PERSONS UNEMPL.5 TO 14 WKS (THOUS.,SA) 128 UNEMPLOY.BY DURATION: PERSONS UNEMPL.15 WKS + (THOUS.,SA) 129 UNEMPLOY.BY DURATION: PERSONS UNEMPL.15 TO 26 WKS (THOUS.,SA) 130 Total Nonfarm Employment - Seasonally Adjusted - CES0000000001 531 Total Private Employment - Seasonally Adjusted - CES0500000001 532 Goods-producing Employment - Seasonally Adjusted - CES0600000001 533 Natural Resources and Mining Employment - Seasonally Adjusted - CES1000000001 534 Construction Employment - Seasonally Adjusted - CES2000000001 535 Manufacturing Employment - Seasonally Adjusted - CES3000000001 536 Durable Goods Manufacturing Employment - Seasonally Adjusted - CES3100000001 537 Nondurable Goods Manufacturing Employment - Seasonally Adjusted - CES3200000001 538 Service-providing Employment - Seasonally Adjusted - CES0700000001 539 Trade, Transportation, and Utilities Employment - Seasonally Adjusted - CES4000000001 540 Retail Trade Employment - Seasonally Adjusted - CES4200000001 541 Wholesale Trade Employment - Seasonally Adjusted - CES4142000001 542 Financial Activities Employment - Seasonally Adjusted - CES5500000001 543 Private Service-providing Employment - Seasonally Adjusted - CES0800000001 544 Government Employment - Seasonally Adjusted - CES9000000001 545 Manufacturing Average Weekly Hours of Production Workers - Seasonally Adjusted - CES3000000005 146 Manufacturing Average Weekly Overtime of Production Workers - Seasonally Adjusted - CES3000000007 147 NAPM EMPLOYMENT INDEX (PERCENT)
HSS -------------- housing starts and sales48 HOUSING STARTS:NONFARM(1947-58);TOTAL FARM&NONFARM(1959-)(THOUS.,SA 449 HOUSING STARTS:NORTHEAST (THOUS.U.)S.A. 450 HOUSING STARTS:MIDWEST(THOUS.U.)S.A. 451 HOUSING STARTS:SOUTH (THOUS.U.)S.A. 452 HOUSING STARTS:WEST (THOUS.U.)S.A. 453 HOUSING AUTHORIZED: TOTAL NEW PRIV HOUSING UNITS (THOUS.,SAAR) 454 MOBILE HOMES: MANUFACTURERS' SHIPMENTS (THOUS.OF UNITS,SAAR) 4
INV ---------------- real inventories and inventory-sales ratios55 NAPM INVENTORIES INDEX (PERCENT) 1
ORD--------------- orders and unfilled orders56 NAPM NEW ORDERS INDEX (PERCENT) 157 NAPM VENDOR DELIVERIES INDEX (PERCENT) 158 NEW ORDERS (NET) - CONSUMER GOODS & MATERIALS, 1996 DOLLARS (BCI) 559 NEW ORDERS, NONDEFENSE CAPITAL GOODS, IN 1996 DOLLARS (BCI) 5
SPR --------------- stock prices60 S&P'S COMMON STOCK PRICE INDEX: COMPOSITE (1941-43=10) 561 S&P'S COMMON STOCK PRICE INDEX: INDUSTRIALS (1941-43=10) 5
36
62 S&P'S COMPOSITE COMMON STOCK: DIVIDEND YIELD (% PER ANNUM) 163 S&P'S COMPOSITE COMMON STOCK: PRICE-EARNINGS RATIO (%,NSA) 164 COMMON STOCK PRICES: DOW JONES INDUSTRIAL AVERAGE
EXR ---------------- exchange rates65 FOREIGN EXCHANGE RATE: SWITZERLAND (SWISS FRANC PER U.S.$) 566 FOREIGN EXCHANGE RATE: JAPAN (YEN PER U.S.$) 567 FOREIGN EXCHANGE RATE: UNITED KINGDOM (CENTS PER POUND) 568 FOREIGN EXCHANGE RATE: CANADA (CANADIAN $ PER U.S.$) 5
INT ---------------- interest rates69 INTEREST RATE: FEDERAL FUNDS (EFFECTIVE) (% PER ANNUM,NSA) 170 INTEREST RATE: U.S.TREASURY BILLS,SEC MKT,3-MO.(% PER ANN,NSA) 171 INTEREST RATE: U.S.TREASURY BILLS,SEC MKT,6-MO.(% PER ANN,NSA) 172 INTEREST RATE: U.S.TREASURY CONST MATURITIES,1-YR.(% PER ANN,NSA) 173 INTEREST RATE: U.S.TREASURY CONST MATURITIES,5-YR.(% PER ANN,NSA) 174 INTEREST RATE: U.S.TREASURY CONST MATURITIES,10-YR.(% PER ANN,NSA) 175 BOND YIELD: MOODY'S AAA CORPORATE (% PER ANNUM) 176 BOND YIELD: MOODY'S BAA CORPORATE (% PER ANNUM) 177 Spread FYGM3 - FYFF 178 Spread FYGM6 - FYFF 179 Spread FYGT1 - FYFF 180 Spread FYGT5 - FYFF 181 Spread FYGT10 - FYFF 182 Spread FYAAAC - FYFF 183 Spread FYBAAC - FYFF 1
MON ---------------- money and credit quantity aggregates84 MONEY STOCK: M1(CURR,TRAV.CKS,DEM DEP,OTHER CK'ABLE DEP)(BIL$,SA) 585 MONEY STOCK:M2(M1+O'NITE RPS,EURO$,G/P&B/D MMMFS&SAV&SM TIME DEP(BIL$, 586 MONEY STOCK: M3(M2+LG TIME DEP,TERM RP'S&INST ONLY MMMFS)(BIL$,SA) 587 MONEY SUPPLY - M2 IN 1996 DOLLARS (BCI) 588 MONETARY BASE, ADJ FOR RESERVE REQUIREMENT CHANGES(MIL$,SA) 589 DEPOSITORY INST RESERVES:TOTAL,ADJ FOR RESERVE REQ CHGS(MIL$,SA) 590 DEPOSITORY INST RESERVES:NONBORROWED,ADJ RES REQ CHGS(MIL$,SA) 591 WKLY RP LG COM'L BANKS:NET CHANGE COM'L & INDUS LOANS(BIL$,SAAR) 192 CONSUMER CREDIT OUTSTANDING - NONREVOLVING(G19) 593 COMMERCIAL & INDUSTRIAL LOANS OUSTANDING IN 1996 DOLLARS 5
PRI --------------- price indexes94 NAPM COMMODITY PRICES INDEX (PERCENT) 195 PRODUCER PRICE INDEX: FINISHED GOODS (82=100,SA) 596 PRODUCER PRICE INDEX:FINISHED CONSUMER GOODS (82=100,SA) 597 PRODUCER PRICE INDEX:INTERMED MAT.SUPPLIES & COMPONENTS(82=100,SA) 598 PRODUCER PRICE INDEX:CRUDE MATERIALS (82=100,SA) 599 CPI-U: ALL ITEMS (82-84=100,SA) 5
100 CPI-U: APPAREL & UPKEEP (82-84=100,SA) 5101 CPI-U: TRANSPORTATION (82-84=100,SA) 5102 CPI-U: MEDICAL CARE (82-84=100,SA) 5103 CPI-U: COMMODITIES (82-84=100,SA) 5104 CPI-U: DURABLES (82-84=100,SA) 5105 CPI-U: ALL ITEMS LESS FOOD (82-84=100,SA) 5106 CPI-U: ALL ITEMS LESS SHELTER (82-84=100,SA) 5107 CPI-U: ALL ITEMS LESS MIDICAL CARE (82-84=100,SA) 5108 SPOT MARKET PRICE INDEX:BLS & CRB: ALL COMMODITIES(1967=100) 5
AHE ------------- average hourly earnings109 Construction Average Hourly Earnings of Production Workers - Seasonally Adjusted - CES2000000006 5110 Manufacturing Average Hourly Earnings of Production Workers - Seasonally Adjusted - CES3000000006 5
111 U. OF MICH. INDEX OF CONSUMER EXPECTATIONS(BCD-83) 1
Oil market112 U.S. CRUDE OIL IMPORTED ACQUISITION COST BY REFINERS 4113 CRUDE OIL PRODUCTION, WORLD 5114 INDEX OF GLOBAL REAL ECONOMIC ACTIVITY IN INDUSTRIAL COMMODITY MARKETS 1
37
Personal Consumption Data, Prices and QuantitiesName Sample Transformation Description
1 P1NDCG3 1976:2 - 2005:6 5 New domestic autos
2 P1NFCG3 1976:2 - 2005:6 5 New foreign autos
3 P1NETG3 1976:2 - 2005:6 5 Net transactions in used autos
4 P1MARG3 1976:2 - 2005:6 5 Used auto margin
5 P1REEG3 1976:2 - 2005:6 5 Employee reimbursement
6 P1TRUG3 1976:2 - 2005:6 5 Trucks, new and net used
7 P1REVG3 1976:2 - 2005:6 5 Recreational vehicles
8 P1TATG3 1976:2 - 2005:6 5 Tires and tubes
9 P1PAAG3 1976:2 - 2005:6 5 Accessories and parts
10 P1FNRG3 1976:2 - 2005:6 5 Furniture, including mattresses and bedsprings
11 P1MHAG3 1976:2 - 2005:6 5 Major household appliances
12 P1SEAG3 1976:2 - 2005:6 5 Small electric appliances
13 P1CHNG3 1976:2 - 2005:6 5 China, glassware, tableware, and utensils
14 P1RADG3 1976:2 - 2005:6 5 Video and audio goods, including musical instruments, and computer goods
15 P1FLRG3 1976:2 - 2005:6 5 Floor coverings
16 P1CLFG3 1976:2 - 2005:6 5 Clocks, lamps, and furnishings
17 P1TEXG3 1976:2 - 2005:6 5 Blinds, rods, and other
18 P1WTRG3 1976:2 - 2005:6 5 Writing equipment
19 P1HDWG3 1976:2 - 2005:6 5 Tools, hardware, and supplies
20 P1LWNG3 1976:2 - 2005:6 5 Outdoor eqpt and supplies
21 P1OPTG3 1976:2 - 2005:6 5 Ophthalmic products and orthopedic appliances
22 P1GUNG3 1976:2 - 2005:6 5 Guns
23 P1SPTG3 1976:2 - 2005:6 5 Sporting equipment
24 P1CAMG3 1976:2 - 2005:6 5 Photographic equipment
25 P1BCYG3 1976:2 - 2005:6 5 Bicycles
26 P1MCYG3 1976:2 - 2005:6 5 Motorcycles
27 P1BOAG3 1976:2 - 2005:6 5 Pleasure boats
28 P1AIRG3 1976:2 - 2005:6 5 Pleasure aircraft
29 P1JRYG3 1976:2 - 2005:6 5 Jewelry and watches
30 P1BKSG3 1976:2 - 2005:6 5 Books and maps
31 P1GRAG3 1976:2 - 2005:6 5 Cereals
32 P1BAKG3 1976:2 - 2005:6 5 Bakery products
33 P1BEEG3 1976:2 - 2005:6 5 Beef and veal
34 P1PORG3 1976:2 - 2005:6 5 Pork
35 P1MEAG3 1976:2 - 2005:6 5 Other meats
36 P1POUG3 1976:2 - 2005:6 5 Poultry
37 P1FISG3 1976:2 - 2005:6 5 Fish and seafood
38 P1GGSG3 1976:2 - 2005:6 5 Eggs
39 P1MILG3 1976:2 - 2005:6 5 Fresh milk and cream
40 P1DAIG3 1976:2 - 2005:6 5 Processed dairy products
41 P1FRUG3 1976:2 - 2005:6 5 Fresh fruits
42 P1VEGG3 1976:2 - 2005:6 5 Fresh vegetables
43 P1PFVG3 1976:2 - 2005:6 5 Processed fruits and vegetables
44 P1JNBG3 1976:2 - 2005:6 5 Juices and nonalcoholic drinks
45 P1CTMG3 1976:2 - 2005:6 5 Coffee, tea and beverage materials
46 P1FATG3 1976:2 - 2005:6 5 Fats and oils
47 P1SWEG3 1976:2 - 2005:6 5 Sugar and sweets
48 P1OFDG3 1976:2 - 2005:6 5 Other foods
49 P1PEFG3 1976:2 - 2005:6 5 Pet food
50 P1MLTG3 1976:2 - 2005:6 5 Beer and ale, at home
51 P1WING3 1976:2 - 2005:6 5 Wine and brandy, at home
52 P1LIQG3 1976:2 - 2005:6 5 Distilled spirits, at home
53 P1ESLG3 1976:2 - 2005:6 5 Elementary and secondary school lunch
54 P1HSLG3 1976:2 - 2005:6 5 Higher education school lunch
55 P1OPMG3 1976:2 - 2005:6 5 Other purchased meals
56 P1APMG3 1976:2 - 2005:6 5 Alcohol in purchased meals
57 P1CFDG3 1976:2 - 2005:6 5 Food supplied civilians
58 P1MFDG3 1976:2 - 2005:6 5 Food supplied military
59 P1FFDG3 1976:2 - 2005:6 5 Food produced and consumed on farms
60 P1SHUG3 1976:2 - 2005:6 5 Shoes (12)
61 P1WGCG3 1976:2 - 2005:6 5 Clothing for females
62 P1WICG3 1976:2 - 2005:6 5 Clothing for infants
63 P1WSGG3 1976:2 - 2005:6 5 Sewing goods for females
64 P1WUGG3 1976:2 - 2005:6 5 Luggage for females
65 P1MBCG3 1976:2 - 2005:6 5 Clothing for males
66 P1MSGG3 1976:2 - 2005:6 5 Sewing goods for males
67 P1MUGG3 1976:2 - 2005:6 5 Luggage for males
68 P1MICG3 1976:2 - 2005:6 5 Standard clothing issued to military personnel (n.d.)
69 P1GASG3 1976:2 - 2005:6 5 Gasoline and other motor fuel
70 P1LUBG3 1976:2 - 2005:6 5 Lubricants
71 P1OILG3 1976:2 - 2005:6 5 Fuel oil
72 P1LPGG3 1976:2 - 2005:6 5 Liquified petroleum gas and other fuel
38
Name Sample Transformation Description73 P1TOBG3 1976:2 - 2005:6 5 Tobacco products
74 P1SOAG3 1976:2 - 2005:6 5 Soap
75 P1CSMG3 1976:2 - 2005:6 5 Cosmetics and perfumes
76 P1OPHG3 1976:2 - 2005:6 5 Other personal hygiene goods
77 P1SDHG3 1976:2 - 2005:6 5 Semidurable house furnishings
78 P1CLEG3 1976:2 - 2005:6 5 Cleaning preparations
79 P1LIGG3 1976:2 - 2005:6 5 Lighting supplies
80 P1PAPG3 1976:2 - 2005:6 5 Paper products
81 P1RXDG3 1976:2 - 2005:6 5 Prescription drugs
82 P1NRXG3 1976:2 - 2005:6 5 Nonprescription drugs
83 P1MDSG3 1976:2 - 2005:6 5 Medical supplies
84 P1GYNG3 1976:2 - 2005:6 5 Gynecological goods
85 P1DOLG3 1976:2 - 2005:6 5 Toys, dolls, and games
86 P1AMMG3 1976:2 - 2005:6 5 Sport supplies, including ammunition
87 P1FLMG3 1976:2 - 2005:6 5 Film and photo supplies
88 P1STSG3 1976:2 - 2005:6 5 Stationery and school supplies
89 P1GREG3 1976:2 - 2005:6 5 Greeting cards
90 P1ARTG3 1976:2 - 2005:6 5 Government expenditures abroad
91 P1ARSG3 1976:2 - 2005:6 5 Other private services
92 P1REMG3 1976:2 - 2005:6 5 Less: Personal remittances in kind to nonresidents
93 P1MGZG3 1976:2 - 2005:6 5 Magazines and sheet music
94 P1NWPG3 1976:2 - 2005:6 5 Newspapers
95 P1FLOG3 1976:2 - 2005:6 5 Flowers, seeds, and potted plants
96 P1OMHG3 1976:2 - 2005:6 5 Owner occupied mobile homes
97 P1OSTG3 1976:2 - 2005:6 5 Owner occupied stationary homes
98 P1TMHG3 1976:2 - 2005:6 5 Tenant occupied mobile homes
99 P1TSPG3 1976:2 - 2005:6 5 Tenant occupied stationary homes
100 P1TLDG3 1976:2 - 2005:6 5 Tenant landlord durables
101 P1FARG3 1976:2 - 2005:6 5 Rental value of farm dwellings
102 P1HOTG3 1976:2 - 2005:6 5 Hotels and motels
103 P1HFRG3 1976:2 - 2005:6 5 Clubs and fraternity housing
104 P1HHEG3 1976:2 - 2005:6 5 Higher education housing
105 P1HESG3 1976:2 - 2005:6 5 Elem and second education housing
106 P1TGRG3 1976:2 - 2005:6 5 Tenant group room and board
107 P1TGLG3 1976:2 - 2005:6 5 Tenant group employee lodging
108 P1ELCG3 1976:2 - 2005:6 5 Electricity
109 P1NGSG3 1976:2 - 2005:6 5 Gas
110 P1WSMG3 1976:2 - 2005:6 5 Water and sewerage maintenance
111 P1REFG3 1976:2 - 2005:6 5 Refuse collection
112 P1LOCG3 1976:2 - 2005:6 5 Local and cellular telephone
113 P1INCG3 1976:2 - 2005:6 5 Intrastate toll calls
114 P1ITCG3 1976:2 - 2005:6 5 Interstate toll calls
115 P1DMCG3 1976:2 - 2005:6 5 Domestic service, cash
116 P1DMIG3 1976:2 - 2005:6 5 Domestic service, in kind
117 P1MSEG3 1976:2 - 2005:6 5 Moving and storage
118 P1FIPG3 1976:2 - 2005:6 5 Household insurance premiums
119 P1FIBG3 1976:2 - 2005:6 5 Less: Household insurance benefits paid
120 P1RCLG3 1976:2 - 2005:6 5 Rug and furniture cleaning
121 P1EREG3 1976:2 - 2005:6 5 Electrical repair
122 P1FREG3 1976:2 - 2005:6 5 Reupholstery and furniture repair
123 P1PSTG3 1976:2 - 2005:6 5 Postage
124 P1MHOG3 1976:2 - 2005:6 5 Household operation services, n.e.c.
125 P1ARPG3 1976:2 - 2005:6 5 Motor vehicle repair
126 P1RLOG3 1976:2 - 2005:6 5 Motor vehicle rental, leasing, and other
127 P1TOLG3 1976:2 - 2005:6 5 Bridge, tunnel, ferry, and road tolls
128 P1AING3 1976:2 - 2005:6 5 Insurance
129 P1IMTG3 1976:2 - 2005:6 5 Mass transit systems
130 P1TAXG3 1976:2 - 2005:6 5 Taxicab
131 P1IRRG3 1976:2 - 2005:6 5 Railway
132 P1IBUG3 1976:2 - 2005:6 5 Bus
133 P1IAIG3 1976:2 - 2005:6 5 Airline
134 P1TROG3 1976:2 - 2005:6 5 Other
135 P1PHYG3 1976:2 - 2005:6 5 Physicians
136 P1DENG3 1976:2 - 2005:6 5 Dentists
137 P1OPSG3 1976:2 - 2005:6 5 Other professional services
138 P1NPHG3 1976:2 - 2005:6 5 Nonprofit
139 P1FPHG3 1976:2 - 2005:6 5 Proprietary
140 P1GVHG3 1976:2 - 2005:6 5 Government
141 P1NRSG3 1976:2 - 2005:6 5 Nursing homes
142 P1MING3 1976:2 - 2005:6 5 Medical care and hospitalization
143 P1IING3 1976:2 - 2005:6 5 Income loss
144 P1PWCG3 1976:2 - 2005:6 5 Workers' compensation
145 P1MOVG3 1976:2 - 2005:6 5 Motion picture theaters
39
Name Sample Transformation Description146 P1LEGG3 1976:2 - 2005:6 5 Legitimate theaters and opera, and entertainments of nonprofit institutions (except at
147 P1SPEG3 1976:2 - 2005:6 5 Spectator sports
148 P1RTVG3 1976:2 - 2005:6 5 Radio and television repair
149 P1CLUG3 1976:2 - 2005:6 5 Clubs and fraternal organizations
150 P1SIGG3 1976:2 - 2005:6 5 Sightseeing
151 P1FLYG3 1976:2 - 2005:6 5 Private flying
152 P1BILG3 1976:2 - 2005:6 5 Bowling and billiards
153 P1CASG3 1976:2 - 2005:6 5 Casino gambling
154 P1OPAG3 1976:2 - 2005:6 5 Other comml participant amusements
155 P1PARG3 1976:2 - 2005:6 5 Pari-mutuel net receipts
156 P1REOG3 1976:2 - 2005:6 5 Other
157 P1SCLG3 1976:2 - 2005:6 5 Shoe repair
158 P1DRYG3 1976:2 - 2005:6 5 Drycleaning
159 P1LGRG3 1976:2 - 2005:6 5 Laundry and garment repair
160 P1BEAG3 1976:2 - 2005:6 5 Beauty shops, including combination
161 P1BARG3 1976:2 - 2005:6 5 Barber shops
162 P1WCRG3 1976:2 - 2005:6 5 Watch, clock, and jewelry repair
163 P1CRPG3 1976:2 - 2005:6 5 Miscellaneous personal services
164 P1BROG3 1976:2 - 2005:6 5 Brokerage charges and investment counseling
165 P1BNKG3 1976:2 - 2005:6 5 Bank service charges, trust services, and safe deposit box rental
166 P1IMCG3 1976:2 - 2005:6 5 Commercial banks
167 P1IMNG3 1976:2 - 2005:6 5 Other financial institutions
168 P1LIFG3 1976:2 - 2005:6 5 Expense of handling life insurance and pension plans
169 P1GALG3 1976:2 - 2005:6 5 Legal services
170 P1FUNG3 1976:2 - 2005:6 5 Funeral and burial expenses
171 P1UNSG3 1976:2 - 2005:6 5 Labor union expenses
172 P1ASSG3 1976:2 - 2005:6 5 Profession association expenses
173 P1GENG3 1976:2 - 2005:6 5 Employment agency fees
174 P1AMOG3 1976:2 - 2005:6 5 Money orders
175 P1CLAG3 1976:2 - 2005:6 5 Classified ads
176 P1ACCG3 1976:2 - 2005:6 5 Tax return preparation services
177 P1THEG3 1976:2 - 2005:6 5 Personal business services, n.e.c.
178 P1PEDG3 1976:2 - 2005:6 5 Private higher education
179 P1GEDG3 1976:2 - 2005:6 5 Public higher education
180 P1ESCG3 1976:2 - 2005:6 5 Elementary and secondary schools
181 P1NSCG3 1976:2 - 2005:6 5 Nursery schools
182 P1VEDG3 1976:2 - 2005:6 5 Commercial and vocational schools
183 P1REDG3 1976:2 - 2005:6 5 Foundations and nonprofit research
184 P1POLG3 1976:2 - 2005:6 5 Political organizations
185 P1MUSG3 1976:2 - 2005:6 5 Museums and libraries
186 P1FOUG3 1976:2 - 2005:6 5 Foundations to religion and welfare
187 P1WELG3 1976:2 - 2005:6 5 Social welfare
188 P1RELG3 1976:2 - 2005:6 5 Religion
189 P1FTRG3 1976:2 - 2005:6 5 Foreign travel by U.S. residents
190 P1EXFG3 1976:2 - 2005:6 5 Less: Expenditures in the United States by nonresidents
191 P1TDGG3 1976:2 - 2005:6 5 Durable goods
192 P1TNDG3 1976:2 - 2005:6 5 Nondurable goods
193 P1TSSG3 1976:2 - 2005:6 5 Services
194 PPCE 1976:2 - 2005:6 5 Personal Consumption Expenditures (all items)
40
Producer Price Index DataName Sample Transformation Description
1 311119 1976:2 - 2005:6 5 Other animal food manufacturing2 311119p 1976:2 - 2005:6 5 Other animal food manufacturing (primary products)3 311211 1976:2 - 2005:6 5 Flour Milling4 311212 1976:2 - 2005:6 5 Rice milling5 311213 1976:2 - 2005:6 5 Malt mfg6 311223a 1976:2 - 2005:6 5 Other oilseed processing (Cottonseed cake and meal and other byproducts)7 311225p 1976:2 - 2005:6 5 Fats and oils refining and blending (Primary products)8 311311 1976:2 - 2005:6 5 Sugarcane mills9 311313 1976:2 - 2005:6 5 Beet sugar manufacturing10 311412 1976:2 - 2005:6 5 Frozen specialty food manufacturing11 311520 1976:2 - 2005:6 5 Ice cream and frozen dessert mfg12 311920 1976:2 - 2005:6 5 Coffee and tea manufacturing13 312140 1976:2 - 2005:6 5 Distilleries14 32211- 1976:2 - 2005:6 5 Pulp mills15 32213- 1976:2 - 2005:6 5 Paperboard mills16 325620p 1976:2 - 2005:6 5 Toilet preparation mfg (Primary products)17 325920 1976:2 - 2005:6 5 Explosives manufacturing18 32731- 1976:2 - 2005:6 5 Cement mfg19 327320 1976:2 - 2005:6 5 Ready mixed concrete mfg and dist20 327410 1976:2 - 2005:6 5 Lime21 327420 1976:2 - 2005:6 5 Gypsum building products manufacturing22 327910 1976:2 - 2005:6 5 Abrasive product manufacturing23 331210 1976:2 - 2005:6 5 Iron steel pipe & tube mfg from purch steel24 333210 1976:2 - 2005:6 5 Sawmill & woodworking machinery mfg25 334310 1976:2 - 2005:6 5 Audio & video equipment mfg26 335110 1976:2 - 2005:6 5 Electric lamp bulb & part mfg27 336370 1976:2 - 2005:6 5 Motor vehicle metal stamping28 337910 1976:2 - 2005:6 5 Mattress mfg29 311421 1976:2 - 2005:6 5 Fruit and vegetable canning30 311423 1976:2 - 2005:6 5 Dried and dehydrated food manufacturing31 311513 1976:2 - 2005:6 5 Cheese manufacturing32 311611 1976:2 - 2005:6 5 Animal except poultry slaughtering33 311612 1976:2 - 2005:6 5 Meat processed from carcasses34 311613 1976:2 - 2005:6 5 Rendering and meat byproduct processing35 311711 1976:2 - 2005:6 5 Seafood canning36 311712 1976:2 - 2005:6 5 Fresh & frozen seafood processing37 311813p 1976:2 - 2005:6 5 Frozen cakes pies & other pastries mfg (Primary products)38 3118233 1976:2 - 2005:6 5 Dry pasta manufacturing ( Macaroni spaghetti vermicelli and noodles)39 312111p 1976:2 - 2005:6 5 Soft drinks manufacturing (Primary products)40 312221 1976:2 - 2005:6 5 Cigarettes41 3122291 1976:2 - 2005:6 5 Other tobacco product mfg (Cigars)42 313111 1976:2 - 2005:6 5 Yarn spinning mills43 3133111 1976:2 - 2005:6 5 Broadwoven fabric finishing mills ( Finished cotton broadwoven fabrics not finished44 315111 1976:2 - 2005:6 5 Sheer hosiery mills45 315191 1976:2 - 2005:6 5 Outerwear knitting mills46 315223 1976:2 - 2005:6 5 Men's boy's cut & sew shirt exc work mfg47 315224 1976:2 - 2005:6 5 Men's boy's cut & sew trouser slack jean mfg48 315993 1976:2 - 2005:6 5 Men's and boys' neckwear mfg49 316211 1976:2 - 2005:6 5 Rubber and plastic footwear manufacturing50 316213 1976:2 - 2005:6 5 Men's footwear exc athletic mfg51 316214 1976:2 - 2005:6 5 Women's footwear exc athletic mfg52 316992 1976:2 - 2005:6 5 Women's handbag & purse mfg53 321212 1976:2 - 2005:6 5 Softwood veneer or plywood mfg54 3212191 1976:2 - 2005:6 5 Reconstituted wood product mfg ( Particleboard produced at this location)55 3219181 1976:2 - 2005:6 5 Other millwork including flooring ( Wood moldings except prefinished moldings ma56 321991 1976:2 - 2005:6 5 Manufactured homes mobile homes mfg57 3221211 1976:2 - 2005:6 5 Paper except newsprint mills ( Clay coated printing and converting paper)58 322214 1976:2 - 2005:6 5 Fiber can tube drum & oth products mfg59 324121 1976:2 - 2005:6 5 Asphalt paving mixture & block mfg60 324122 1976:2 - 2005:6 5 Asphalt shingle & coating materials mfg61 324191p 1976:2 - 2005:6 5 Petroleum lubricating oils and greases ( Primary products)62 325181 1976:2 - 2005:6 5 Alkalies and chlorine63 3251881 1976:2 - 2005:6 5 All other basic inorganic chemical manufacturing ( Sulfuric acid gross new and fort64 3251921 1976:2 - 2005:6 5 Cyclic crude and intermediate manufacturing ( Cyclic coal tar intermediates)65 325212 1976:2 - 2005:6 5 Synthetic rubber manufacturing66 325222 1976:2 - 2005:6 5 Manufactured noncellulosic fibers67 325314 1976:2 - 2005:6 5 Fertilizer mixing only manufacturing68 3254111 1976:2 - 2005:6 5 Medicinal & botanical mfg ( Synthetic organic medicinal chemicals in bulk)69 3261131 1976:2 - 2005:6 5 Unsupported plastics film sheet excluding packaging manufacturing ( Unsupported70 326192 1976:2 - 2005:6 5 Resilient floor covering manufacturing71 326211 1976:2 - 2005:6 5 Tire manufacturing except retreading72 327111 1976:2 - 2005:6 5 Vitreous plumbing fixtures access ftg mfg
41
Name Sample Transformation Description73 327121 1976:2 - 2005:6 5 Brick and structural clay tile74 327122 1976:2 - 2005:6 5 Ceramic wall and floor tile75 327124 1976:2 - 2005:6 5 Clay refractories76 327125 1976:2 - 2005:6 5 Nonclay Refractory Manufacturing77 327211 1976:2 - 2005:6 5 Flat glass manufacturing78 327213 1976:2 - 2005:6 5 Glass container manufacturing79 327331 1976:2 - 2005:6 5 Concrete block and brick manufacturing80 3279931 1976:2 - 2005:6 5 Mineral wool manufacturing81 331111 1976:2 - 2005:6 5 Iron and steel mills82 331112 1976:2 - 2005:6 5 Electrometallurgical ferroalloy product mfg83 331221 1976:2 - 2005:6 5 Rolled steel shape manufacturing84 331312 1976:2 - 2005:6 5 Primary aluminum production85 331315 1976:2 - 2005:6 5 Aluminum sheet plate & foil mfg86 331316 1976:2 - 2005:6 5 Aluminum extruded products87 331421 1976:2 - 2005:6 5 Copper rolling drawing & extruding88 3314913 1976:2 - 2005:6 5 Other nonferrous metal roll draw extruding ( Titanium and titanium base alloy mill sh89 3314923 1976:2 - 2005:6 5 Other nonferrous secondary smelt refine alloying (Secondary lead)90 331511 1976:2 - 2005:6 5 Iron foundries91 3322121 1976:2 - 2005:6 5 Hand and edge tools except machine tools and handsaws ( Mechanics' hand servic92 332213 1976:2 - 2005:6 5 Saw blade & handsaw mfg93 3323111 1976:2 - 2005:6 5 Prefabricated metal building and component manufacturing ( Prefabricated metal bu94 332321 1976:2 - 2005:6 5 Metal window and door manufacturing95 332431 1976:2 - 2005:6 5 Metal can mfg96 324393 1976:2 - 2005:6 5 Other metal container manufacturing ( Steel shipping barrels & drums exc beer ba97 332611 1976:2 - 2005:6 5 Spring heavy gauge mfg98 3326122 1976:2 - 2005:6 5 Spring light gauge mfg ( Precision mechanical springs)99 3327224 1976:2 - 2005:6 5 Bolt nut screw rivet & washer mfg ( Externally threaded metal fasteners except ai100 332913 1976:2 - 2005:6 5 Plumbing fixture fitting & trim mfg101 332991 1976:2 - 2005:6 5 Ball and roller bearings102 332992 1976:2 - 2005:6 5 Small arms ammunition mfg103 332996 1976:2 - 2005:6 5 Fabricated pipe & pipe fitting mfg104 332998 1976:2 - 2005:6 5 Enameled iron & metal sanitary ware mfg105 333111 1976:2 - 2005:6 5 Farm machinery & equipment mfg106 333131 1976:2 - 2005:6 5 Mining machinery & equipment mfg107 333132 1976:2 - 2005:6 5 Oil and gas field machinery and equipment mfg108 333292 1976:2 - 2005:6 5 Textile machinery109 333293 1976:2 - 2005:6 5 Printing machinery & equipment mfg110 3332941 1976:2 - 2005:6 5 Food products machinery mfg ( Dairy and milk products plant machinery)111 3332981 1976:2 - 2005:6 5 All other industrial machinery mfg ( Chemical manufacturing machinery equipment 112 3333111 1976:2 - 2005:6 5 Automatic vending machine mfg ( Automatic merchandising machines coin operate113 333512 1976:2 - 2005:6 5 Machine tool metal cutting types mfg114 333513 1976:2 - 2005:6 5 Machine tool metal forming types mfg115 3335151 1976:2 - 2005:6 5 Cutting tool & machine tool accessory mfg ( Small cutting tools for machine tools an116 333612 1976:2 - 2005:6 5 Speed changer industrial high speed drive & gear mfg117 333618 1976:2 - 2005:6 5 Other engine equipment mfg118 3339111 1976:2 - 2005:6 5 Pump & pumping equipment mfg ( Industrial pumps except hydraulic fluid power pu119 333922 1976:2 - 2005:6 5 Conveyor & conveying equipment mfg120 3339233 1976:2 - 2005:6 5 Overhead crane hoist & monorail system mfg ( Overhead traveling cranes and mon121 3339241 1976:2 - 2005:6 5 Industrial truck tractor trailer stacker machinery mfg ( Industrial trucks and tractors122 333992 1976:2 - 2005:6 5 Welding & soldering equipment mfg (Welding & soldering equipment mfg)123 333997 1976:2 - 2005:6 5 Scale & balance except laboratory mfg124 334411 1976:2 - 2005:6 5 Electron tube mfg125 334414 1976:2 - 2005:6 5 Electronic capacitor mfg126 334415 1976:2 - 2005:6 5 Electronic resistor mfg127 334417 1976:2 - 2005:6 5 Electronic connector mfg128 3345153 1976:2 - 2005:6 5 Electricity measuring testing instrument mfg ( Test equipment for testing electrical r129 334517p 1976:2 - 2005:6 5 Irradiation apparatus manufacturing ( Primary products)130 3351211 1976:2 - 2005:6 5 Residential electric lighting fixture mfg ( Residential electric lighting fixtures except 131 335122 1976:2 - 2005:6 5 Commercial electric lighting fixture mfg132 335129 1976:2 - 2005:6 5 Other lighting equipment mfg133 335212 1976:2 - 2005:6 5 Household vacuum cleaner mfg134 335221 1976:2 - 2005:6 5 Household cooking appliance mfg135 335311 1976:2 - 2005:6 5 Power distribution specialty transformer mfg136 335312 1976:2 - 2005:6 5 Motor & generator mfg137 335314p 1976:2 - 2005:6 5 Relay & industrial control mfg ( Primary products)138 335911 1976:2 - 2005:6 5 Storage battery mfg139 3359291 1976:2 - 2005:6 5 Other communication and energy wire mfg ( Power wire and cable made in plants t140 335932 1976:2 - 2005:6 5 Noncurrent carrying wiring device mfg141 335991p 1976:2 - 2005:6 5 Carbon & graphite product mfg ( Primary products)142 336321p 1976:2 - 2005:6 5 Vehicular lighting equipment mfg ( Primary products)143 337121 1976:2 - 2005:6 5 Upholstered household furniture mfg144 337122 1976:2 - 2005:6 5 Wood household furniture except upholstered145 337124 1976:2 - 2005:6 5 Metal household furniture
42
Name Sample Transformation Description146 337211 1976:2 - 2005:6 5 Wood office furniture mfg147 3372141 1976:2 - 2005:6 5 Nonwood office furniture ( Office seating including upholstered nonwood)148 3399111 1976:2 - 2005:6 5 Jewelry except costume mfg ( Jewelry made of solid platinum metals and solid kar149 3399123 1976:2 - 2005:6 5 Silverware & hollowware mfg ( Flatware and carving sets made wholly of metal)150 339931 1976:2 - 2005:6 5 Doll & stuffed toy mfg151 339932 1976:2 - 2005:6 5 Game toy & children's vehicle mfg152 339944 1976:2 - 2005:6 5 Carbon paper & inked ribbon mfg153 3399931 1976:2 - 2005:6 5 Fastener button needle & pin mfg ( Buttons and parts except for precious or semi154 3399945 1976:2 - 2005:6 5 Broom brush & mop mfg ( Other brushes)
43
D Additional figures
Figure A-1: Figure shows the structural shocks from the FAVAR model for the period1977.3 - 2005.6.
Figure A-2: The figure shows the variables in Ct. The variables are standardized.
44
Figure A-3: Response to a one standard deviation shock to global oil production. 95 percent confidence intervals calculated with bootstrapping method in Kilian (1998).
Figure A-4: Response to a one standard deviation shock in aggregate demand in globalcommodity markets. 95 per cent confidence intervals calculated with bootstrapping methodin Kilian (1998).
45
Figure A-5: Response to a one standard deviation shock to oil-specific demand. 95 percent confidence intervals calculated with bootstrapping method in Kilian (1998).
Figure A-6: Response to a unexpected increase of 25 basis points in the Federal funds rate.95 per cent confidence intervals calculated with bootstrapping method in Kilian (1998).
46
E Robustness
E.1 Different factor combinations
Figure A-7: Robustness with respect to the number of factors. Figure shows response toa one standard deviation shock to global oil production with respectively 1, 3, 5 and 7factors.
Figure A-8: Robustness with respect to the number of factors. Figure shows response toa one standard deviation shock in aggregate demand in global commodity markets withrespectively 1, 3, 5 and 7 factors.
47
Figure A-9: Robustness with respect to the number of factors. Figure shows response to aone standard deviation shock to oil-specific demand with respectively 1, 3, 5 and 7 factors.
Figure A-10: Robustness with respect to the number of factors. Figure shows response toa unexpected increase of 25 basis points in the Federal funds rate with respectively 1, 3, 5and 7 factors.
48
E.2 Different lag length
Figure A-11: Robustness with respect to lag length in equation (1). Figure shows responseto a one standard deviation shock to global oil production with respectively 7, 13, 18 and24 lags.
Figure A-12: Robustness with respect to lag length in equation (1). Figure shows responseto a one standard deviation shock in aggregate demand in global commodity markets withrespectively 7, 13, 18 and 24 lags.
49
Figure A-13: Robustness with respect to lag length in equation (1). Figure shows responseto a one standard deviation shock to oil-specific demand with respectively 7, 13, 18 and24 lags.
Figure A-14: Robustness with respect to lag length in equation (1). Figure shows responseto a unexpected increase of 25 basis points in the Federal funds rate with respectively 7,13, 18 and 24 lags.
50
E.3 Post 1984
Figure A-15: Robustness with respect to starting the estimation in 1984. Figure showsresponse to a one standard deviation shock to global oil production.
Figure A-16: Robustness with respect to starting the estimation in 1984. Figure showsresponse to a one standard deviation shock in aggregate demand in global commoditymarkets.
51
Figure A-17: Robustness with respect to starting the estimation in 1984. Figure showsresponse to a one standard deviation shock to oil-specific demand.
Figure A-18: Robustness with respect to starting the estimation in 1984. Figure showsresponse to a unexpected increase of 25 basis points in the Federal funds rate.
52
E.4 Alternative Identification
Figure A-19: Robustness with respect to an alternative recursive identification where the5 US factors are ordered above the oil factors in the VAR. Figure shows response to aone standard deviation shock to global oil production.
Figure A-20: Robustness with respect to an alternative recursive identification where the5 US factors are ordered above the oil factors in the VAR. Figure shows response to aone standard deviation shock in aggregate demand in global commodity markets.
53
Figure A-21: Robustness with respect to an alternative recursive identification where the5 US factors are ordered above the oil factors in the VAR. Figure shows response to aone standard deviation shock to oil-specific demand.
Figure A-22: Robustness with respect to an alternative recursive identification where the5 US factors are ordered above the oil factors in the VAR. Figure shows response to aunexpected increase of 25 basis points in the Federal funds rate.
54
E.5 Alternative transformation
Figure A-23: Robustness with respect to an alternative transformation where the real oilprice is on first difference in logs. Figure shows response to a one standard deviationshock to global oil production.
Figure A-24: Robustness with respect to an alternative transformation where the real oilprice is on first difference in logs. Figure shows response to a one standard deviationshock in aggregate demand in global commodity markets.
55
Figure A-25: Robustness with respect to an alternative transformation where the real oilprice is on first difference in logs. Figure shows response to a one standard deviationshock to oil-specific demand.
Figure A-26: Robustness with respect to an alternative transformation where the real oilprice is on first difference in logs. Figure shows response to a unexpected increase of 25basis points in the Federal funds rate.
56
E.6 Smaller data set
Figure A-27: Robustness with respect to using a larger data set with disaggregated pricesand consumption. The alternative data set is similar to the data in Boivin, Giannoni,and Mihov (2009). Figure shows response to a one standard deviation shock to global oilproduction.
Figure A-28: Robustness with respect to using a larger data set with disaggregated pricesand consumption. The alternative data set is similar to the data in Boivin, Giannoni,and Mihov (2009). Figure shows response to a one standard deviation shock in aggregatedemand in global commodity markets.
57
Figure A-29: Robustness with respect to using a larger data set with disaggregated pricesand consumption. The alternative data set is similar to the data in Boivin, Giannoni,and Mihov (2009). Figure shows response to a one standard deviation shock to oil-specificdemand.
Figure A-30: Robustness with respect to using a larger data set with disaggregated pricesand consumption. The alternative data set is similar to the data in Boivin, Giannoni,and Mihov (2009). Figure shows response to a unexpected increase of 25 basis points inthe Federal funds rate.
58
F Correlation between variables in the data set and
the common factors
Correlation F1 F2 F3 F4 F5 Δprod rea rpo RF1 1 0 0 0 0 -0.08 0.27 0.70 0.90F2 0 1 0 0 0 -0.05 -0.24 -0.17 -0.17F3 0 0 1 0 0 0.21 -0.34 -0.08 0.13F4 0 0 0 1 0 0.04 0.12 0.37 0.02F5 0 0 0 0 1 0.07 0.24 -0.01 0Δprod -0.08 -0.05 0.21 0.04 0.07 1 -0.02 -0.04 -0.09rea 0.27 -0.25 -0.34 0.12 0.24 -0.02 1 0.41 0.20rpo 0.71 -0.17 -0.08 0.37 0.01 -0.04 0.41 1 0.67R 0.90 0.17 0.13 0.02 0 -0.09 0.20 0.67 1
Table A-5: Correlation between the common factors in Ct.
59
Varia
ble
F1F2
F3F4
F5O
il Pr
odG
lob
Dem
Oil
Pric
eIn
ters
tC
ON
SU
ME
R C
RE
DIT
OU
TSTA
ND
ING
- N
ON
RE
VO
LVIN
G(G
19)
2-2
237
172
20-1
24
5FO
RE
IGN
EX
CH
AN
GE
RA
TE: C
AN
AD
A (C
AN
AD
IAN
$ P
ER
U.S
.$)
7-3
162
25
-13
310
FOR
EIG
N E
XC
HA
NG
E R
ATE
: JA
PA
N (Y
EN
PE
R U
.S.$
)5
72
75
-311
011
FOR
EIG
N E
XC
HA
NG
E R
ATE
: SW
ITZE
RLA
ND
(SW
ISS
FR
AN
C P
ER
U.S
.$)
64
110
5-1
93
12FO
RE
IGN
EX
CH
AN
GE
RA
TE: U
NIT
ED
KIN
GD
OM
(CE
NTS
PE
R P
OU
ND
)-6
-8-1
612
-3-3
2-7
-13
WK
LY R
P L
G C
OM
'L B
AN
KS
:NE
T C
HA
NG
E C
OM
'L &
IND
US
LO
AN
S(B
IL$,
SA
AR
)13
-18
1717
-75
32
24C
OM
ME
RC
IAL
& IN
DU
STR
IAL
LOA
NS
OU
STA
ND
ING
IN 1
996
DO
LLA
RS
16
-12
2017
-19
0-3
1029
MO
NE
Y S
TOC
K: M
1(C
UR
R,T
RA
V.C
KS
,DE
M D
EP
,OTH
ER
CK
'AB
LE D
EP
)(B
IL$,
SA
)8
-4-9
-35
-10
0-1
018
0M
ON
EY
STO
CK
:M2(
M1+
O'N
ITE
RP
S,E
UR
O$,
G/P
&B
/D M
MM
FS&
SA
V&
SM
TIM
E D
EP
BIL
24-4
-5-2
3-3
-8-7
3321
MO
NE
Y S
UP
PLY
- M
2 IN
199
6 D
OLL
AR
S (B
CI)
-24
204
-26
-8-5
-28
-8-1
4M
ON
EY
STO
CK
: M3(
M2+
LG T
IME
DE
P,T
ER
M R
P'S
&IN
ST
ON
LY M
MM
FS)(
BIL
$,S
A)
29-1
70
-14
-8-2
3430
MO
NE
TAR
Y B
AS
E, A
DJ
FOR
RE
SE
RV
E R
EQ
UIR
EM
EN
T C
HA
NG
ES
(MIL
$,S
A)
0-8
-8-1
60
-7-1
51
-3D
EP
OS
ITO
RY
INS
T R
ES
ER
VE
S:N
ON
BO
RR
OW
ED
,AD
J R
ES
RE
Q C
HG
S(M
IL$,
SA
)-2
1-1
9-1
1-2
30
7-1
DE
PO
SIT
OR
Y IN
ST
RE
SE
RV
ES
:TO
TAL,
AD
J FO
R R
ES
ER
VE
RE
Q C
HG
S(M
IL$,
SA
)-2
-5-2
0-7
-11
-20
80
S&
P'S
CO
MP
OS
ITE
CO
MM
ON
STO
CK
: DIV
IDE
ND
YIE
LD (%
PE
R A
NN
UM
)83
-97
-34
-12
-512
7675
CO
MM
ON
STO
CK
PR
ICE
S: D
OW
JO
NE
S IN
DU
STR
IAL
AV
ER
AG
E-5
1314
-16
111
-4-1
0-5
S&
P'S
CO
MM
ON
STO
CK
PR
ICE
IND
EX
: CO
MP
OS
ITE
(194
1-43
=10)
-27
16-1
513
11
-6-3
S&
P'S
CO
MM
ON
STO
CK
PR
ICE
IND
EX
: IN
DU
STR
IALS
(194
1-43
=10)
-26
16-1
514
20
-7-3
S&
P'S
CO
MP
OS
ITE
CO
MM
ON
STO
CK
: PR
ICE
-EA
RN
ING
S R
ATI
O (%
,NS
A)
-77
15-1
026
113
-19
-70
-73
BO
ND
YIE
LD: M
OO
DY
'S A
AA
CO
RP
OR
ATE
(% P
ER
AN
NU
M)
7725
21-2
7-1
4-7
471
88B
ON
D Y
IELD
: MO
OD
Y'S
BA
A C
OR
PO
RA
TE (%
PE
R A
NN
UM
)76
2719
-31
-13
-85
7386
INTE
RE
ST
RA
TE: U
.S.T
RE
AS
UR
Y B
ILLS
,SE
C M
KT,
3-M
O.(%
PE
R A
NN
,NS
A)
8915
161
-4-8
1867
99IN
TER
ES
T R
ATE
: U.S
.TR
EA
SU
RY
BIL
LS,S
EC
MK
T,6-
MO
.(% P
ER
AN
N,N
SA
)89
1316
-1-5
-817
6899
INTE
RE
ST
RA
TE: U
.S.T
RE
AS
UR
Y C
ON
ST
MA
TUR
ITIE
S,1
-YR
.(% P
ER
AN
N,N
SA
)88
1318
-4-7
-716
6998
INTE
RE
ST
RA
TE: U
.S.T
RE
AS
UR
Y C
ON
ST
MA
TUR
ITIE
S,1
0-Y
R.(%
PE
R A
NN
,NS
A)
8017
22-2
4-1
6-7
772
90IN
TER
ES
T R
ATE
: U.S
.TR
EA
SU
RY
CO
NS
T M
ATU
RIT
IES
,5-Y
R.(%
PE
R A
NN
,NS
A)
8217
22-1
9-1
4-7
871
93S
prea
d FY
GM
3 - F
YFF
-76
-26
0-8
-15
9-2
6-5
2-8
3S
prea
d FY
GM
6 - F
YFF
-72
-29
2-1
6-1
89
-29
-45
-80
Spr
ead
FYG
T1 -
FYFF
-50
-27
12-2
8-2
88
-30
-22
-54
Spr
ead
FYG
T10
- FY
FF-6
7-1
15
-42
-23
8-3
2-3
0-7
3S
prea
d FY
GT5
- FY
FF-6
4-1
09
-42
-26
8-3
6-2
8-6
8S
prea
d FY
AA
AC
- FY
FF-7
7-3
0-3
6-1
67
-34
-40
-83
Spr
ead
FYB
AA
C -
FYFF
-67
51
-47
-17
6-3
3-2
6-7
1P
ER
SO
NA
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