pricing risk in a post euro world (new years version)newey
TRANSCRIPT
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Table of Contents
Introduction
Literature Review
Theory
Bonds
Bond Yields
Data
Methodology
Data Analysis
Conclusion
Bibliography
Appendix
Graphs
Correlation Matrices
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Introduction
It has been difficult to escape recent news about the Euro-crises and the turbulence on
the sovereign bond markets for PIIGS. Bond yields have reached all time highs and
have caused much distress for the national governments as for the whole EU.
Investors are increasingly worried whether the countries can fix their finances. There
is reason to believe that economic figures released about the state of the countrys
economic health, has had increased importance when it comes to pricing of risk in the
sovereign debt market. Macro-economic data is continuously released and is seen as
an indicator of a countrys economic situation. Credit rating ag encies use macro
economic data when determining whether a country should keep its current rating or
not. When Standar d & Poors downgraded The U.S from AAA to AA+, the rating
was cut partly because of the heavy debt burden and the governments budget deficit.
Even though it is accepted that economic data will have an effect on bond yields, the
question still remains how well the bond markets priced the risk of the PIIGS
economic state and how whether it changed after the 2007 financial crises.
This paper investigates the pricing of risk in the bond markets associated with the
introduction of the euro. Our objective is to determine how accurately the bond
markets priced the risk for the PIIGS economic health when the euro was introduced
in 2002, and whether there are large prediction errors for the bond markets during this
particular period. Essentially, the data should enable us to see what kind of effects
EMU has had on the risk premiums that governments pay. Due to the financial crises,
there is reason to divide the period of 2002 to 2011 into two periods; from the
introduction of the euro to mid 2007 and mid 2007 to present date.
To determine how accurately risk was priced for each country, variables such as
government debt, inflation, unit labor cost and the unemployment rate were testedagainst the 10-year government bond spreads.
This paper is divided up into seven parts. First an introductory section, followed by
literature review where we examine past papers written about this topic. The third
section contains a generalized theoretical discussion about bonds and bond yields.
This is followed by a presentation of the data and what methodology was used.
Finally, the results are presented and analyzed followed by a conclusion and
appendix.
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Literature Review
Various types of research have been done in the field of pricing of risk and also more
generally on the effect of macroeconomic variables on bond yields. Aizenman,
Hutchinson, and Jinjarak (2011) estimated the pricing of sovereign risk for PIIGS
before and after the financial crises by using credit default swaps. The estimation is
based on fiscal space and economic fundamentals. The authors find evidence for
mispricing of PIIGS risk given the current economic fundamentals during both after
and before the financial crises. Barrios, Iversen, Lewandowska, Setzer (2009) found
that bond yields spreads react more strongly to domestic factors after that financial
crises.
Additionally, there has been extensive research on the impact of macroeconomic data
on bond yields. In an essay for the Central Bank of Ireland, Liebermann (2011) found
that T-bond yields reacted systematically to news of data that had short publication
lags. She states that one of the most important releases was the unemployment rate.
The report also found that the impact of the variables changed during the financial
crises.
Bonds
A bond is a type of debt instrument that is often referred to as a fixed-income
instrument because it promises either a fixed stream of income or stream of income
that is determined according to formula mentioned on the next page (Bodie, 2011).
The price of a bond is determined by the present value of its future cash flows. That
is, the price an investor would be willing to pay to for a future stream of payments
instead of having them today. This, in turn, is determined by market interest rates andseveral risk premiums caused by other risk factors such as liquidity risk, default risk
and so on.
Bond value= Couponn(1+r)n=1
N + Par value
n(1+r) (BODIE)
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Bond yields and prices are highly correlated.
The price of the bond moves in the opposite direction of the yield. Since the bond
price is the sum of all future cash flows, an increase in the yield would mean that
the present value of future cash flows decreases.The reason for this relationship is that the price of a bond is the net present
value of its future cash flows, and if the discount rate increases, the present value
of the cash flows will decrease (Choudhry, 2010).
The bond type discussed here are sovereign government bonds. Government
bonds are issued by national governments.
YieldsThe yield of a bond is the percentage return an investor can expect to receive
from a bond.
A bond with a higher yield implies a bond with a higher credit risk.
The yield is determined by:
Credit risk
Credit risk can be seen as the main risk when holding a bond. Credit risk is
increasing with maturity. Credit risk can be separate into three categories:
1. Default risk: the probability that the issuer will default on its own debt
and wont be able to meet its obligations of repayment at the time of
maturity.
Bonds of governments that do no conduct sound fiscal policies usually
have higher default risk and therefore investors will require a higher
yield on bonds as compensation.
The default risk of government bonds is rarely an outright default as
much as forced restructuring and renegotiation of its debt (Di, 2005).
2. Credit spread risk; which is the probability that the bond declines more
than other bonds of similar quality.
3. Downgrade risk: the risk of a downgrade from a ratings agency.
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Liquidity risk
A liquid market is one where there is sufficient buy and sell orders and where
large-scale orders do not have a strong impact on prices (Manganelli & Wolswijk,
2009).The only market in Europe that has a liquid futures market is Germany. This
increases the demand for German Bunds since you can enter and exit a trade
practically immediately, and that makes it attractive for investors.
Long-term investments require higher yields (Choudhry, 2010).
Risk aversion
Risk aversion measures the investors willingness to take on risk. If risk increases investors seek the flight -safety or flight -to-liquidity, which in
the euro zone has been Germany and it s liquid marke ts (Barrios, Iversen,
Lewandowska, & Setzer, 2009)
For a market to be efficient in its pricing of sovereigns bonds it is necessary that
all governments have access to capital markets on the same terms as borrowers.
Another important necessity is that countries bear the risk of default and takes
responsibility for the financial consequences following a default (Manganelli &Wolswijk, 2009).
The Maastricht Treaty and its no -bail-out clause exists to help markets stay
efficient. This clause may however be undermined, especially in large and
integrated market as the Euro-area since the theory of too-big-to-fail holds
(Gmez-Puig, 2002) and when a crisis like the debt crisis of the PIIGS countries
occur it threatens the entire economy.
Macro variables and their influence on the Bond yields
It is widely accepted that government policy has an impact on the yield curve.
These include policies on public sector borrowing, debt management and open-market
operations. How the market perceives the size of public sector debt will inuence
bond yields; for example, an increase in the level of debt can lead to an increase in
bond yields.
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Lebrun and Prez (2011) state that after the EMU was created, unit labor cost growth
differentials have widened in the euro area. Additionally, according to the Economist,
the peripheral countries have lost a large amount of competitiveness (measured in unit
labor cost) compared to Germany since 2000. Therefore we found ULC appropriate as
a measure for economic health between PIIGS and Germany.
We also consider the unemployment rate a useful variable because of its relationship
to bond yields. Poterba and Rueben (1999) found that an increase in a states
unemployment rate is assoc iated with an increase in that states bond yields.
Additionally Palumbo and Schick (2006) state that unemployment figures draw the
attention of credit analysts which in turn have an effect on bond yields.
According to Elmendorf and Mankiw (1998), government debt is supposed to
increase the yields of the bonds since a higher debt level increases the risk of
default and economic instability.
A monetary union such as the EMU may increase the default risk even more at
higher debt levels since the countries inside the union has given up their
possibility of managing their debt thru monetary policy (Bernoth, von Hagen, &
Schuknecht, 2004).
Inflation rate is said to be an indicator of economic stability and as a proxy of
economic management that has a positive impact on the sovereign default risk
(Alexpoulou, Bunda, & Ferrando, 2009).
However, higher inflation can be seen as a sign of increased government deficits
which in turn signal a need for higher interest rates. Because of this, higher
inflation is expected to increase the sovereign risk, which will be added to the
bond price.
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Data
All the collected data occurs on a monthly basis, except government debt, which has
been interpolated to fit in the model. The data covers January 2002 to June 2011.The time-series have been divided into to sub-periods; the first from January 2002 till
July 2007 and the other sub-period will cover the rest of the time-series, August 2007
to May 2011.This divide is made since August 2007 is seen as the starting point for
the financial crisis (Elliott, 2011).
The countries chosen are referred to as the PIIGS throughout the paper and include:
Portugal, Ireland, Italy, Greece and Spain. These countries are often bundled together
when referring to the financial crises and therefore we saw it as interesting to test all
of them. Germany was included as a benchmark bond. In an essay by Barrios,
Iversen, Lewandowska and Setzer (2009), the German government bond market is
referred to as safest haven and having Germany as a benchmark would explain the
excess premium on the bonds for PIIGS in respect to the macro variables.
As an indicator of risk for the bond market, the harmonized 10-year government bond
spreads were used. The bond yields were retrieved from Eurostat and are reference
rates measured in percentages that have been based on government bonds that have
maturity close to 10 years. To find the spread, the German yield was subtracted from
each of PIIGS yields.
Unit Labour Cost
Real unit labour cost (ULC) is used as a competitive indicator. It measures the
average cost of labor per unit of output. It is computed as the ratio of total labor coststo real output (OECD). This index is useful as it can be compared directly between
countries. The data was published by the IMF and is presented in real effective
exchange rates. This means that the data was acquired by reducing every countrys
trade weighted index of the bilateral nominal rate by a weighted index of unit labor
costs of other countries relative to the unit labor cost in the domestic country (IMF).It
is not a complete measure of competitiveness per se, yet should rather be interpreted
as a reflection of cost competitiveness (OECD).
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The ULC was converted into an index where January 2002=100 which was the date
when the Euro was physically introduced.
Unemployment Rate
The Unemployment rate is seasonally adjusted data retrieved from Eurostat and is
measured as a percentage of the total amount of people in the workforce. The work
force includes the total of individuals who are unemployed and employed between the
ages of 15 and 74 (Eurostat). Those considered as unemployed are those who do not
have a job during the reference week, can start work in the next two weeks, and are
actively looking for a job the past four weeks.
Government debt
The government debt data was retrieved from Eurostat on a quarterly basis.
The Quarterly government debt is defined as the total gross debt at nominal
value outstanding at the end of each quarter. The data are measured in million
Euros as a percentage of GDP. (Eurostat)
Since regression models require consistent time intervals, we have interpolated
the data from quarterly to monthly to make it fit in the frequency. This was done
in Stata where we interpolated the change in government debt in each quarter to
then get the monthly change.
Harmonized indices of consumer prices
The harmonized indices of consumer prices (HICPs) was used as a measure for
inflation and retrieved from Eurostat. This type of measurement is useful as it is
designed for cross-country analysis of consumer price inflation.
The HICPs are used to evaluate if the inflation criteria is fulfilled which is
required by the Euro zone countries (Eurostat).The inflation rate should, according to the Maastricht treaty not be more than
1,5% above the inflation level of the three best performing EU member
states(Soltes, 2011).
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Methodology
Our multiple regression model consists of four macro variables that have a
according to several previous studies a considerable impact on bond spreads.
Not only was the German yield subtracted from each individual country to get
the bond spreads, but the German data for each of the variables were also
subtracted. We found this necessary because when the difference between the
yields varies (the spread increases or decreases) then this must be matched on
the other side of the equation with the variation between the two countries
variables. For example, even though government debt might be rising in one of
the PIIGS, the spread might be decreasing. This can be due to the fact that there
is a variation on the German side that needs to be taken into account and
therefore we subtract its government debt as well.
Mathematically, both legs should be equal and therefore if the government bond
yields (the left part) is considered a safe haven then the variables determining
them should be considered safe as well. (den hr biten kommer utvecklas eller
skrivas om)
We conducted individual regressions for each country. Each variable was tested
whether they had a lagged effect or not. Government debt and unit labour cost
both showed lagged effects of 1 month.
Lagged variables may capture dynamic structures in the dependent variable,
which in this case most likely are caused by inertia. This could be due to
psychological factors where people might not fully understand the effects certain
new announcement might have. It could arise because it is not yet clear whether
or not the change will be permanent or only temporary (Brooks, 2002).
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When running a regression model one must check to make sure that the model
fulfils the ordinary least squares assumptions. The OLS describes the linear
relationship between the dependent variable and the independent variables.
The following are all assumptions of the OLS and if one of them is violated themodel no longer contains the best linear unbiased estimators that can be
obtained and improvements can be made.
The first assumption is that the model is linear in its parameters.
The second assumption states that the expected error term should be zero. If not,
the model has unexplained errors, which does not make it BLUE best linear
unbiased estimator.
The third assumption states that the model has to be homoscedastic.
Homoscedasticity means that the variance should be constant and not depending
on x. If this is violated then the residuals are said to be heteroscedastic. If a
regression model contains heteroscedastic error terms they are no longer
correct and need to be replaced with new standard errors that adjust for this.
This can be done by using Newey-West standard errors.
The fourth assumption is about autocorrelation. Autocorrelation occurs when
two on following residuals are correlated with each other. When this occurs the
residuals are said to be serially correlated. This will lead to the same problem as
with heteroscedaticity and give the standard errors that are not in line with
BLUE.
() It is possible to adjust for both autocorrelation and heteroskedasticity by
creating new standard errors. This can be done by using Newey-West, which
creates new standard errors that can be added to the model.
The fifth assumption states that the variable x is not random and must take on at
least two different values.
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The sixth and last assumption of the regression model is that the error terms
must be normally distributed about their mean if the values of y are normally
distributed.
A normal distribution is symmetric about its mean. To test if the sample is
normally distributed the test most commonly used is the Bera-Jarque.
The B-J test for normality is based on two measures, skewness and kurtosis.
Skewness measures the extent to which a distribution is not symmetric around
its mean and kurtosis measures how fat the tails of the distribution are.
A normally distributed sample should not have any skewness and the allowed
coefficient of the kurtosis is 3.The Bera-Jarque test statistic:
[ ] T is the sample size and b 1 and b2 can be estimated from the residuals taken from
the regression. The null hypothesis of this normality test is that the model is
normally distributed (Brooks, 2002).
The data was divided into to sub-periods because of the change in the economic
environment and increased economic instability after July 2007. To see if there is
a detectable difference between these periods we conducted a chow-test. A
Chow-test tests if there is any structural change between two different periods.
When conducting the test one divides the sample into different periods, in this
case two, from January 2002 to July 2007 and August 2007 to May 2011.
When the models have been estimated separately, including one for the whole
period, and we have three different sum of squared residuals an F-test can be
made (Ramanathan, 2002).
The unrestricted regression is the one where the restriction has not been
included. The restriction is that the coefficients are equal across the sup-periods
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and the restricted regression will be the single regression that covers the entire
sample period.
Data analysis
All the regression models were run through the Ramsey reset test to see if all the
coefficients are significant and if we have any omitted variables. The only model
that did not show signs of omitted variables was Greece in both periods (see
appendix). All other regression models got results telling us that the model could
be improved by including more variables.
When checking for multicollinearity correlation matrices and variance inflationfactor tested the variables and both got results indicating that we have a problem
with collinearity between are variables (see appendix).
The VIF is defined as;
When variables are inter correlated it is difficult to disentangle their separate
effects on the explanatory variables (Maddala, 2001). This might have an
increasing effect on the R 2 values without increasing the degree of explainability
of the whole model. The R2 measures how much of the variation in the model
that is explained by the variables. All regression models got increased R 2 values
in the second sub-period.
In almost every case the results gave very high R 2 values. This might also be
because of the high correlation between the macroeconomic variables. When the
correlated variables move together, it may have a positive impact on the R 2 value
without having any real explanation of the variation in the regression model
(Nau). Therefor it is important to not look at other factors when evaluating the
quality of the model such as estimates and their magnitude and directions rather
than the R2 (Hill, 2011).
To test for heteroscedasticity we use Breusch-Pagan. Breusch-Pagan tests if
there are any variables that influence the variance. The results received from
these test tells us that we have a problem with heteroscedasticity and after
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conducting test for autocorrelation with Breusch-Godfrey the results clearly
shows that the model has a problem with that as well.
To account for these problems with standard errors that do not use the best
linear unbiased estimators we must create new standard errors using Newey-West. When these new standard errors are included in the model the
heteroscdasticity and autocorrelation is accounted for and we can include these
with the original coefficients obtained from the first regression models.
First Sub-Period
The regression analysis with the corrected standard errors led to varied
significance amongst the independent variables for each country in the firstperiod.
RAdjustedR F-stat Prob.
Portugal 0.017968 0.1141105 0.0283396 0.0372685 0.5519 0.5215 15.23 0.0000
Ireland 0.0015277 0.0579048 0.0119188 0.126773 0.8457 0.8352 47.57 0.0000
Italy 0.0046624 0.0141835 0.0131077 0.0107276 0.4098 0.3698 5.92 0.0004
Greece 0.0019864 0.011489 0.0154649 0.0130428 0.5244 0.4921 9.03 0.0000
Spain 0.0087624 0.0040949 0.0230625 0.0176186 0.5917 0.5641 34.64 0.0000Table 1. Regression table for the first sub-period
For Portugal, the variables found significant were government debt,
unemployment rate and inflation. The government debt coefficient is negative
implying a reverse relationship to the bond spreads. This is obviously a
contradictory result and not in line with theory yet this could indicate that bonds
were mispriced. A one per cent increase in debt indicates a decrease in bond
spreads by 0,04%. The effects of inflation and unemployment are both positive
with and increase on bond spread for every per cent of 0,03% respectively
0,11%. This is in line with the theory that inflation and the unemployment rate
has a positive relationship to bond spreads.
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The only variable found significant in the first sub-period for Ireland was
government debt. An increase by one per cent would have a positive impact on
bond spreads by 0,013%.
Government debt and unit labor cost were the only variables that weresignificant for Italy. The coefficients imply that if government debt were to
increase by one percent then the spreads would increase by 0.01 %. Additionally,
if unit labor cost increased by one percent then spreads would increase by 0.004.
Government debt was the only variable that was significant for Greece. It
indicates that spreads will widen 0.013 percent if government debt were to
increase by one percent.
Unit labor cost, government debt and HICP were all significant for Spain. The
coefficient for unit labor cost indicates that if it were to rise by one percent then
the spreads would widen by 0.009 percent. In regards to government debt, the
spreads would increase by 0.17 percent. A one percent increase in HICP would
however have an inversely related effect on the spread where it would decrease
by 0.02.
The first sub period shows that the independent variable that PIIGS had in
common was the government debt. The fact that the other variables had mixed
results on the countries can imply that during a less volatile period these
variables play a less important role for bond investors. Despite this, government
debt still seemed to have some importance.
Second Sub-Period
RAdjustedR F-stat Prob.
Portugal 0.5908905 1.015671 0.6448951 0.0873556 0.9320 0.9257 62.24 0.0000
Ireland 1.161244 0.7882239 1.016838 0.0546108 0.8948 0.8850 69.41 0.0000
Italy 0.1022214 0.3237773 0.2051403 0.0117671 0.6013 0.5646 122.93 0.0000
Greece 0.1250138 1.016308 0.2918964 0.0130389 0.9406 0.9351 153.09 0.0000
Spain 0.2399331 0.0771073 0.1068272 0.0880985 0.7992 0.7805 103.50 0.0000Table 2. Regression table for the second sub-period
In the second period, debt has lost its significant impact on bonds in Portugal.The variables now significant are unemployment rate, unit labor cost and
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inflation. Both unemployment rate and inflation has an increased impact on the
bond spread. Inflation will now, for every percentage increase, increase bond
spreads by 0,64 % and unemployment rate 1,02%.
Ireland has, after testing the second sub-period changed its significant variablesfrom only debt to unit labor cost and inflation. These to have an effect per every
percentage increase of 1,16 and 1,017 percent respectively.
Government debt is not significant for Italy whereas the rest are in the second
sub-period. HICP indicates a negative relationship with the bond spread where a
one percent increase would lead to a 0.2 decrease in spreads. Furthermore, a one
percent increase in unit labor cost would increase bond yields by 0.1 percent.
The coefficient also indicates that unemployment rates would have a positive
effect on spreads, where a one percent increase would have the consequence of a
0.32 percent increase in spreads.
Unit labor cost and unemployment rates were both significant for Greece the
second period. A one percent increase in unit labor cost points to a 0.125 percent
increase in bond spreads. Additionally, if unemployment rate were to increase by
one percent bond spreads would increase by 1.01 percent.
For Spain, HICP was the only variable that was not significant. A one percent
increase in unit labor cost, government debt or unemployment rate points to an
increase in bond spreads by 0.24, 0.88 and 0.77 percent respectively.
In the second sub-period, unit labor cost was the common denominator for the
five countries. Other than that the variables differ greatly as they did with the
first period.
The hypothesis that macro variables importance increases during a financial
crises is supported in our model when one looks at r-squared. Since it increased
between the two periods for all of the countries, it indicates that the model
increased in accuracy. However, not all variables were significant during either
of the two periods. This could partly imply that the bonds were mispriced during
both periods.
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Further general analysis
When it comes to the first sub-period, there are other factors that can be taken
into account when it comes to determining the economic state and bond yield
spreads of PIIGS. Firstly, although the countries are often bundled together, theydiffer the economic variables differ between them. Both Ireland and Spain kept
within the debt requirements and ran budget surpluses. Furthermore, when
credit became cheaper, entire nations could take quite different courses (Lewis,
2011). Whilst the money was borrowed by the government in Greece, it was
borrowed by a few banks in Ireland. Despite this, a factor they did have in
common was that the countries had been running unsustainable current
account deficits (the Economist). The low interest rates stimulated domestic
spending and increased inflation in wages and goods. This in turn made exports
more expensive and imports relatively cheaper.
Additionally, investors assumed that a Euro Zone could not default on its debt
(Economist). The Euro zone could have been seen as a safety net and therefore
the state of each individual country did not matter as much. In the book
Boomerang, Michael Lweis states that these peripheral countries enjoyed the
same credit rating as Germany did. This however changed when Germany, in the
middle of the crises, implied that defaults were possible and the investors could
have to bear some of the losses.
The prospects of a default in the Euro Zone lead to a spiral of falling bond prices,
a weakened banking system and slowing growth. New light was shining on
macro variables and the states of the each countrys finances.
Although the results may show signs of mispricing, there is reason be interpret
them with caution. The number of observations used in the regression could
have had an effect on the results because there were just too few to have an
impact.
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Network:http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1927189&http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1927189
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Appendix
Graph 1. Government Debt
Graph 2. Unemployment Rate
Graph 3. Unit Labour Costs
0
5 0
1 0 0
1 5 0
2002m1 2004m1 2006m1 2008m1 2010m1 2012m1date
DEBTPO DEBTIT
DEBTIR DEBTGR
DEBTSP DEBTGER
5
1 0
1 5
2 0
2002m1 2004m1 2006m1 2008m1 2010m1 2012m1date
URPO URIR
URIT URGR
URSP URGER
9 0
1 0 0
1 1 0
1 2 0
1 3 0
1 4 0
2002m1 2004m1 2006m1 2008m1 2010m1 2012m1date
ULCPO ULCIR
ULCIT ULCGR
ULCSP ULCGER
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Graph 4. Harmonized Indices for Consumer Prices
Graph 5. Government Bond Yield Spreads
- 4
- 2
0
2
4
6
2002m1 2004m1 2006m1 2008m1 2010m1 2012m1date
HICPPO HICPIR
HICPIT HICPGR
HICPSP HICPGER
0
5
1 0
1 5
2002m1 2004m1 2006m1 2008m1 2010m1 2012m1date
SPREADPO SPREADIR
SPREADSP SPREADGR
SPREADIT
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Source: The Economist
Correlation Matrices GreecePeriod1
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.4476 1.0Government Debt 0.6258 0.6818 1.0HICP 0.1659 0.1699 0.1443 1.0UnemploymentRate 0.2938 0.0726 0.0327 0.5215 1.0
Period 2
Spread
Unit
LaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.0509 1.0Government Debt 0.9041 0.2288 1.0HICP 0.5911 0.3304 0.6062 1.0UnemploymentRate 0.9733 0.0423 0.9493 0.5758 1.0
Ireland
Period 1Spread Unit Government HICP Unemployment
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LaborCost
Debt Rate
Spread 1.0Unit Labor Cost 0.7974 1.0Government Debt 0.7738 0.4980 1.0HICP 0.7571 0.7738 0.7317 1.0UnemploymentRate 0.7679 0.9827 0.4276 0.7473 1.0
Period 2
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.8240 1.0Government Debt 0.8664 0.9806 1.0HICP 0.4324 0.8276 0.7686 1.0UnemploymentRate 0.8199 0.9989 0.9772 0.8242 1.0
ItalyPeriod 1
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.2456 1.0Government Debt 0.1267 0.7531 1.0HICP 0.2659 0.7080 0.5088 1.0Unemployment
Rate 0.0999 0.9111 0.7988 0.6982 1.0Period 2
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.2624 1.0Government Debt 0.5001 0.2964 1.0HICP 0.3756 0.3419 0.3027 1.0
Unemployment Rate 0.8326 0.1734 0.66690.3961
1.0
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SpainPeriod 1
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.9619 1.0Government Debt 0.5351 0.5975 1.0HICP 0.8424 0.9157 0.4814 1.0UnemploymentRate 0.6081 0.7340 0.3237 0.7623 1.0
Period 2
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.7039 1.0Government Debt 0.5009 0.0735 1.0HICP 0.6687 0.9251 0.1800 1.0UnemploymentRate 0.2781 0.8129 0.0773 0.8332 1.0
PortugalPeriod 1
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.5572 1.0Government Debt 0.2011 0.0958 1.0HICP 0.3090 0.9267 0.2461 1.0Unemployment Rate 0.6310 0.3621 0.4672 0.1647 1.0
Period 2
Spread
UnitLaborCost
GovernmentDebt HICP
UnemploymentRate
Spread 1.0Unit Labor Cost 0.8508 1.0Government Debt 0.2011 0.1261 1.0HICP 0.8803 0.9722 0.1684 1.0Unemployment Rate 0.5901 0.4804 0.2417 0.4852 1.0