_________________________________ The Interrelations among Inflation and Major Fiscal, Monetary and Real VariablesA Case Study for the Gambia1
November 2009
Institutional Support Project for Economic and Financial Governance (ISPEFG) Department of State for Finance and Economic Affairs (DOSFEA) The Republic of Gambia The Quadrangle, Banjul, the Gambia
1
This paper has been prepared by a research team comprising Tamsir Cham, Director; Momodou Taal, Principal Economist; Amie Khan and Yaya Drammeh, Senior Economists and Ceesay Chiel, Economist in the Economic Management and Planning Unit (EMPU) and Tarun Das, Macroeconomic Adviser (ISPEFG); under the overall guidance and supervision by the Honorable Permanent Secretary Mr. Serign Cham of the Ministry of Finance and Economic Affairs (MOFEA); with key inputs from the Central Bank of Gambia (CBG) and the Gambian Bureau of Statistics (GBOS). Any questions and feedback can be addressed to: Either Tamsir Cham (
[email protected]) or Tarun Das (
[email protected]) 1
The Interrelations among Inflation and Major Fiscal, Monetary and Real VariablesA Case Study for the Gambia 1. Scope of the paper and data base The purpose of this paper is to examine the interrelations among inflation and the major monetary, fiscal and real variables for the Gambian economy. Inflation is measured by the rate of change of the Consumer Price Index (CPI) and that of the GDP deflator (GDPDF). Along with CPI and GDPDF, the following major monetary, fiscal and real variables are considered to estimate statistical relations among the variables. Variables to fit Statistical Relations CPI = Consumer Price Index with base 2004 (=100) GDPDF = Gross Domestic Product (GDP) deflator with base 2004 (=100) INF = Rate of inflation in terms of CPI = Annual rate of change of CPI INFDF = Rate of inflation in terms of GDP deflator = Annual rate of change of GDFDF YCuMP = GDP at current market prices YCstMP = GDP at constant 2004 market prices M2 = Broad money supply = Net Foreign Assets (NFA) + Net Domestic Assets (NDA) = Net Foreign Exchange Reserves + Govt. Borrowing + Non-Govt. Borrowings = Currency and coins in circulation + All deposits with banks Velocity = Velocity of money = YCuMP / M2 GD/US$ = Exchange rate = Gambian Dalasi per US dollar GOVEXP = Government Expenditure BankCR = Bank credits = Credits to Government (GovCR) + Credits to private (PvtCR) GovCR = Credits to Government = Government Borrowings PvtCR = Credits to the Private Sector = Private Borrowings TBYield = Average yield of the Government Treasury Bills YLD-3M = Yield for 91-day (three months) Treasury Bills YLD-6M = Yield for 182-day (six months) Treasury Bills YLD-12M = Yield for 364-day (12 months) Treasury Bills DR-3M = Deposit rate for three months deposits DR-6M = Deposit rate for six month deposits DR-12M = Deposit rate for 12 month deposits TBOUT = Total Treasury Bills Outstanding OBD = Overall Budget Deficit REV = Domestic Revenue of the Government BOPB = Overall Balance of Payments (BOP) Balance GRGDP = Real GDP growth rate GRM2 = Growth rate of money supply GRTB = Growth rate of Treasury Bill Outstanding GRCR = Growth rate of bank credits GEREV = Growth rate of revenue GREXP = Growth rate of expenditure
2
Data Base Two sets of data are considered for our econometric analysis: (1) Annual Time series data for 12 years from 1998 to 2009. (2) Monthly Time Series data for 33 months from January 2007 to September 2009. However, GDP figures are not available for the monthly series as GDP figures are estimated by the GBOS on only annual basis. 2. Regression Results For both annual and monthly time series data, linear and log-linear regression equations are fitted with the help of ordinary least squares (OLS) method. For both linear and log-linear equations, two sets of regression equations are fitted. In one set, CPI is regressed on other variables, while in the other set, the rate of change of CPI (i.e. the inflation rate) is regressed on other variables. The sets of data and the regression results are presented in the Annex Tables 1 to 20, which are self-explanatory (List of Tables is given in the Annex). Both the linear and log-linear regression equations indicate almost similar results for the annual time series data. They also show similar results for the monthly time series data. But, there are significant differences of results between the annual and monthly series. The major conclusions are summarized in Table-1 (differences of results are highlighted). Table-1: Major Conclusions Drawn From Regression Results Observations Annual Times Series Data Monthly Time Series Data (for both linear and log(for both linear and loglinear equations) linear equations) CPI has significant positive Money supply, GDP deflator, Money supply, correlation with Nominal GDP, Real GDP, CPI for Food, Exch. rate of Dalasi per US$, CPI for Non-food, Government expenditure, CBG Policy rate Government revenue, Treasury Bills outstanding Bank credit to govt. or others, CPI has no significant Treasury Bill Yields, Treasury Bill Yields, correlation with Overall budget deficit, Overall budget deficit, Deposit rates for 3 months, Deposit rates for 3 months, Deposit rates for 6 months, Deposit rates for 6 months, Deposit rates for 12 months, Deposit rates for 12 months, Overall BOP balance Exch. rate of Dalasi per US$, Government expenditure, Government revenue, Treasury Bills outstanding
3
Table-1-Continued: Major Conclusions Drawn From Regression Results Observations
Annual Times Series Data (for both linear and loglinear equations)
Monthly Time Series Data (for both linear and loglinear equations)
Money supply has significant positive correlation with
Consumer Price Index (CPI), GDP deflator, Nominal GDP, Real GDP, Exch. rate of Dalasi per US$, Government expenditure, Government revenue, Bank credits to govt., Bank credits to private sector, Treasury Bills outstanding
Consumer Price Index (CPI), Government expenditure, Government revenue, CBG Policy rate
Money supply has no significant correlation with
Treasury Bill Yields, Overall budget deficit, Deposit rates for 3 months, Deposit rates for 6 months, Deposit rates for 12 months, Overall BOP balance
Exch. rate of Dalasi per US$, Overall budget deficit, Dep. rates for 3, 6, 12 months, Government expenditure, Government revenue, Treasury Bills outstanding
TB Yield has significant positive correlation with TB Yield has no significant correlation with
Deposit rate for six months
Exch. rate of Dalasi per US$,
Money supply, Consumer Price Index (CPI), GDP deflator, Nominal GDP, Real GDP, Exch. rate of Dalasi per US$, Deposit rate for 3 months, Deposit rate for 12 months, Government expenditure, Government revenue, Bank credits to govt., Bank credits to private sector, Treasury Bills outstanding, BOP balance.
Money supply, Consumer Price Index (CPI), Deposit rate for 3 months, Deposit rate for 6 months, Deposit rate for 12 months, Government expenditure, Government revenue, Treasury Bills outstanding
4
Table-1-Continued: Major Conclusions Drawn From Regression Results Observations
Annual Times Series Data (Linear equations)
Monthly Time Series Data (Linear equations)
Rate of Inflation (Annual Rate of change of CPI) has significant positive correlation with
Growth rate of nominal GDP, Growth rate of revenue, Inflation in terms of GDPDF, TB Yields, Deposit rate for 6 Months
Food inflation rate, Non-food inflation rate, Rate of Depreciation of Dalasi
Rate of Inflation (Annual Rate of change of CPI) has no significant correlation with
Growth rate of money supply, Real GDP growth rate, Growth rate of govt. credits, Growth rate of pvt. credits, Growth rate of TB outstanding Growth rate of govt. exp., Overall deficit as % of GDP, Deposit rate for 3 Months Deposit rate for 12 months, Rate of Depreciation of Dalasi
Growth rate of money supply, Growth rate of govt. exp., Overall deficit as % of GDP, Deposit rate for 3 Months, Deposit rate for 6 Months, Deposit rate for 12 months, TB Yields for 3 months, TB Yields for 6 months, TB Yields for 12 months, GR of TB outstanding, GR of revenue Rate of Depreciation of Dalasi CBG discount rate, Deposit rate for 3 Months, Deposit rate for 6 Months
Growth Rate of Money Supply Inflation in terms of GDPDF, (M2) has significant positive Rate of Depreciation of Dalasi correlation with Growth Rate of Money Supply CPI inflation, (M2) has no significant Growth rate of nominal GDP, correlation with Real GDP growth rate, Growth rate of govt. credits, Growth rate of pvt. credits, Growth rate of TB outstanding Growth rate of govt. exp., Growth rate of revenue, Overall deficit as % of GDP, Treasury Bills yields, Deposit rate for 3 Months, Deposit rate for 6 Months Deposit rate for 12 months,
3. Policy Conclusions 5
CPI inflation, Growth rate of TB outstanding Growth rate of govt. exp., Growth rate of revenue, Overall deficit as % of GDP, Treasury Bills yields, Deposit rate for 3 Months, Deposit rate for 6 Months Deposit rate for 12 months,
Above analysis indicates that although consumer price index is positively and significantly correlated with money supply, the rate of inflation (i.e. the annual rate of change of CPI) has no significant relations with rate of growth of money supply. It is further observed that although inflation rate has significant positive correlations with CBG policy rate, treasury bills yields, rate of depreciation of Dalasi against US dollar and the growth rate of government revenues, inflation has no significant relations with the deposit rates, government deficits as percentage of GDP, and the growth rates of government expenditure, government borrowing from the markets and the total treasury bills outstanding. Therefore, the study does not support the general view that the money supply, government deficits, government borrowing and total domestic debt outstanding affect inflation. In fact the econometric relations clearly indicate that the CPI inflation, overall GDP inflation, treasury bills yields are unduly affected by the high discount rate announced by the Monetary Policy Committee (CPC) of the CBG. We need to adopt more scientific approach for determination of the Central Bank rediscount rate rather than taking the vote by the members at the end of bi-monthly MPC meetings. Here, we present a feasible methodology for determination of the CBG rediscount rate. Methodology for determination of CBG rediscount rate The starting point should the expectations of the inflation rate for the short and medium term. At the end of October 2009, annual point to point CPI inflation stood at 2.3 percent while the 12month moving average rate was 4.7 percent. Given the risks for international prices of oil, we can safely work on an inflation rate 5 percent in the basis of rational expectations. Then the depositors need some positive real interest (generally less than 2 percent world side) to continue with savings. Then, we need to allow reasonable transactions cost (generally less than 3 percent globally) and normal profit rate (generally less than 2 percent) for the banks to determine the collection cost of funds by the banks. That should be the rate at which no-risk treasury bills could be sold in the markets. Then CBG need to add maximum 2 percent for their transactions cost to determine the rediscount rate. Thus we get a reasonable rediscount rate of 14 percent. Expected annual inflation = 5 percent Average nominal deposit rate = Inflation Rate + Real rate of 2% = 7 percent Reasonable transactions costs of banks = 3 percent of assets or liabilities Normal profit rate = 2 percent of assets or liabilities Average annual cost of collection of funds by banks = 7 + 3 + 2 = 12 percent Reasonable yield no-risk treasury bills with maturity of one year or more = 12 percent CBG rediscount (Policy) rate = 12 percent + CBG transactions cost of 2 percent = 14%.
6
Annex Tables List of Tables Tables for the Annual Time Series Data Tables 1A, 1B and 1C: Yearly Trends of CPI and Related Variables from 1998 to 2009 Table-2: Description Statistics for the Annual Variables Tables-3A, 3B and 3C: Linear Correlation Matrix for the Annual Variables Tables 4A, 4B and 4C: Annual Rates of Selected Variables Table-5: Descriptive Statistics for the Annual Rates Tables-6A, 6B and 6C: Linear Correlation Matrix for the Annual Rates Table-7: Linear Regression Results for CPI = α + β X Table-8: Descriptive Statistics for the Natural Logarithms of Annual Variables Tables-9A, 9B and 9C: Correlation Matrix for the Natural Logarithms of the Variables Table-10: Log-Linear Regression Results for Log (CPI) = α + β Log(X) Table-11: Log-Linear Regression Results for Log (Y) = α + β Log(X) _______________________________________________________________________ Tables for the Monthly Time Series Data Tables 12A and 12B: Monthly Trends of CPI and Related Variables from Jan-2007 to Sep-2009 Table-13: Description Statistics for the Monthly Variables Tables-14A and 14-B: Linear Correlation Matrix for the Monthly Variables Tables-15A and 15B: Annual Rates of Selected Variables Table-16: Descriptive Statistics for the Annual Rates Tables-17A and 17B: Linear Correlation Matrix for the Annual Rates Tables-18A to 18F: Linear Regression Results for Y = α + β X Table-19: Descriptive Statistics for the Natural Logarithms of Annual Variables Tables-20A and 20B: Correlation Matrix for the Natural Logarithms of the Variables Table-21: Log-Linear Regression Results for Log (CPI) = α + β Log(X) Table-22: Log-Linear Regression Results for Log (Y) = α + β Log(X)
7
Table-1A: Yearly Trends of CPI and Related Macroeconomic Variables during 1998-2009 ITEMS CPI YCuMP YCstM M2 Velocit GD/US GOVEX BankC P y $ P R 1998 62.96 7236 15091 1312 5.52 10.64 1054.0 1006.3 0 0 1999 65.38 7959 16124 1470 5.41 11.40 1118.2 1184.5 0 0 2000 65.99 8787 16208 1982 4.43 12.79 1252.5 1479.8 0 0 2001 68.89 10708 17196 2367 4.52 15.69 2037.4 1825.6 0 0 2002 74.85 12489 17445 3203 3.90 19.92 2060.6 2221.2 0 0 2003 87.55 15819 17975 4593 3.44 28.53 2464.2 2468.9 0 0 2004 100.00 18491 18491 5432 3.40 30.03 3092.3 2707.3 0 0 2005 103.16 19080 18362 6145 3.10 28.58 3691.9 3573.3 0 0 2006 105.28 19878 19122 7758 2.56 28.07 4162.4 4456.8 0 0 2007 110.96 21656 20428 8274 2.62 24.88 4375.2 5137.5 0 0 2008 119.00 24446 21361 9796 2.50 22.43 4189.8 6324.2 2 0 2009 125.00 26822 22376 10586 2.53 26.00 3571.2 7427.1 0 0 Table-1B: Yearly Trends of CPI and Related Macroeconomic Variables during 1998-2009 ITE GovCR PvtCR TBYiel DR-3M DR-6M DRTBOut OBD MS d 12M 1998 512.70 493.60 15.00 12.00 12.00 13.50 1020.8 134.00 0 1999 583.90 600.60 13.25 11.00 11.50 12.25 1201.6 173.90 0 2000 815.80 664.00 12.25 11.00 11.25 11.75 1564.0 135.30 0 2001 1074.9 750.70 13.50 1.00 11.25 11.75 1919.5 911.70 0 0 2002 909.70 1311.5 17.50 9.50 9.50 10.00 2117.6 542.00 0 0 2003 654.00 1814.9 25.50 14.50 15.00 11.00 1948.1 617.50 0 0 2004 1195.6 1511.7 30.50 15.00 15.00 17.50 3018.5 34.70 0 0 0 2005 1762.2 1811.1 22.00 9.50 11.00 12.00 3809.0 868.40 0 0 0 2006 2127.4 2329.4 12.50 6.75 9.50 9.50 4174.3 959.40 8
0 0 2007 2482.7 2654.9 0 0 2008 2880.3 3443.9 0 0 2009 3234.7 4192.4 0 0 Table-1C: Yearly Trends during 1998-2009 ITEMS GDPD REV F 1998 47.95 832 1999 49.36 879 2000 54.21 995 2001 62.27 990 2002 71.59 1202 2003 88.01 1574 2004 100.0 2518 0 2005 103.9 2603 1 2006 103.9 3024 6 2007 106.0 3468 1 2008 114.4 3529 4 2009 119.8 4146 7
13.00 13.50 14.73 of CPI
0 8.95 9.45 9.95 4296.8 712.70 0 9.12 9.66 11.06 4697.0 1885.6 5 7 10.17 10.61 10.67 5005.2 321.60 9 and Related Macroeconomic Variables
BOPB 78 54 93 190 16 317 703 955 539 742 767 15
Table-2: Descriptive Statistics for Variables Variables
Mean
Std Dev.
Std Err
CPI
90.752
22.563
6.513
YCuMP
16114.3
6639.30
1916.60
YCstMP
18348.3
2188.06
631.638
M2 Velocity GD/US$ EXP BankCR
5243.16
3286.50
948.731
3.662
1.098
0.317
21.580
7.262
2.096
2755.81
1251.69
361.331
3317.71
2097.48
605.489 9
CV (%) 24.9 41.2 11.9 62.7 30.0 33.6 45.4 63.2
N 12 12 12 12 12 12 12 12
GovCR
1519.49
951.439
274.657
PvtCR
1798.23
1179.21
340.409
TBYield
16.936
5.926
1.711
DR-3M
9.874
3.631
1.048
DR-6M
11.310
1.932
0.558
DR-12M
11.744
2.132
0.616
TBOut
2897.71
1438.35
415.215
OBD
608.073
520.370
150.218
GDPDF REV BOPB
85.131
26.564
7.668
2146.60
1205.76
348.072
372.275
CPI
347.154
62.6 65.6 35.0 36.8 17.1 18.2 49.6 85.6 31.2 56.2 93.3
100.215
Table-3A: Linear Correlation Matrix YCstM Velocit GD/US YCuMP P M2 y $
12 12 12 12 12 12 12 12 12 12 12
EXP
CPI
1.000
0.995
0.955
0.987
-0.936
0.785
0.934
YCuMP YCstM P
0.995
1.000
0.972
0.988
-0.946
0.789
0.924
0.955
0.972
1.000
0.975
-0.902
0.666
0.866
M2 Velocit y GD/US $
0.987
0.988
0.975
1.000
-0.934
0.715
0.921
-0.936
-0.946
-0.902
-0.934
1.000
-0.850
-0.949
0.785
0.789
0.666
0.715
-0.850
1.000
0.806
EXP BankC R
0.934
0.924
0.866
0.921
-0.949
0.806
1.000
0.947
0.956
0.979
0.980
-0.872
0.589
0.849
GovCR
0.918
0.919
0.947
0.955
-0.839
0.515
0.854
PvtCR TBYiel d
0.944
0.958
0.977
0.974
-0.874
0.631
0.821
0.118
0.120
-0.028
-0.016
-0.128
0.580
0.073
DR-3M
0.041
0.010
-0.088
-0.037
0.043
0.202
-0.145
DR-6M DR12M
-0.226
-0.226
-0.317
-0.326
0.263
0.173
-0.327
-0.190
-0.221
-0.313
-0.304
0.335
-0.012
-0.277
10
TBOut
0.973
0.969
0.946
0.979
-0.932
0.706
0.947
OBD
0.478
0.492
0.506
0.527
-0.544
0.278
0.609
GDPDF
0.985
0.987
0.927
0.961
-0.964
0.870
0.948
REV
0.987
0.978
0.954
0.987
-0.907
0.708
0.918
BOPB
0.605
0.560
0.421
0.524
-0.617
0.654
0.754
11
Table-3B: Linear Correlation Matrix BankC GovCR PvtCR TBYiel DR-3M DR-6M R d 0.947 0.918 0.944 0.118 0.041 -0.226 CPI 0.956 0.919 0.958 0.120 0.010 -0.226 YcuMP YcstM 0.979 0.947 0.977 -0.028 -0.088 -0.317 P 0.980 0.955 0.974 -0.016 -0.037 -0.326 M2 Velocit -0.872 -0.839 -0.874 -0.128 0.043 0.263 y GD/US 0.589 0.515 0.631 0.580 0.202 0.173 $ 0.849 0.854 0.821 0.073 -0.145 -0.327 EXP BankC 1.000 0.981 0.987 -0.149 -0.110 -0.416 R 0.981 1.000 0.938 -0.252 -0.234 -0.519 GovCR 0.987 0.938 1.000 -0.062 -0.007 -0.321 PvtCR TBYiel -0.149 -0.252 -0.062 1.000 0.606 0.795 d -0.110 -0.234 -0.007 0.606 1.000 0.613 DR-3M -0.416 -0.519 -0.321 0.795 0.613 1.000 DR-6M DR-0.373 -0.368 -0.367 0.636 0.467 0.710 12M 0.957 0.964 0.924 -0.051 -0.149 -0.417 TBOut 0.514 0.537 0.481 -0.249 -0.478 -0.468 OBD 0.900 0.861 0.906 0.230 0.044 -0.160 GDPDF 0.962 0.952 0.944 0.003 -0.005 -0.308 REV 0.389 0.428 0.346 0.339 0.029 -0.020 BOPB Table-3C: Linear Correlation Matrix (Pearson R) TBOut OBD GDPDF REV BOPB CPI CPI 0.973 0.478 0.985 0.987 0.605 1.000 YCuMP 0.969 0.492 0.987 0.978 0.560 0.995 YCstM 0.946 0.506 0.927 0.954 0.421 0.955 P M2 0.979 0.527 0.961 0.987 0.524 0.987 Velocit -0.932 -0.544 -0.964 -0.907 -0.617 -0.936 y GD/US 0.706 0.278 0.870 0.708 0.654 0.785 12
DR12M -0.190 -0.221 -0.313 -0.304 0.335 -0.012 -0.277 -0.373 -0.368 -0.367 0.636 0.467 0.710 1.000 -0.298 -0.468 -0.175 -0.215 0.136 M2 0.987 0.988 0.975 1.000 -0.934 0.715
$ EXP BankC R GovCR PvtCR TBYiel d DR-3M DR-6M DR12M TBOut OBD GDPDF REV BOPB
0.947 0.957
0.609 0.514
0.948 0.900
0.918 0.962
0.754 0.389
0.934 0.947
0.921 0.980
0.964 0.924 -0.051
0.537 0.481 -0.249
0.861 0.906 0.230
0.952 0.944 0.003
0.428 0.346 0.339
0.918 0.944 0.118
0.955 0.974 -0.016
-0.149 -0.417 -0.298
-0.478 -0.468 -0.468
0.044 -0.160 -0.175
-0.005 -0.308 -0.215
0.029 -0.020 0.136
0.041 -0.226 -0.190
-0.037 -0.326 -0.304
1.000 0.542 0.952 0.980 0.589
0.542 1.000 0.489 0.430 0.525
0.952 0.489 1.000 0.953 0.647
0.980 0.430 0.953 1.000 0.553
0.589 0.525 0.647 0.553 1.000
0.973 0.478 0.985 0.987 0.605
0.979 0.527 0.961 0.987 0.524
13
Items 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
Inf 3.8 0.9 4.4 8.7 17.0 14.2 3.2 2.1 5.4 7.2 5.0
Table-4A: Annual Rates (in percentage) GR-CRY GR-CSY GR-M2 GR-REV 10.0 6.8 12.1 5.7 10.4 0.5 34.8 13.3 21.9 6.1 19.4 -0.6 16.6 1.4 35.3 21.4 26.7 3.0 43.4 31.0 16.9 2.9 18.3 60.0 3.2 -0.7 13.1 3.4 4.2 4.1 26.2 16.1 8.9 6.8 6.7 14.7 12.9 4.6 18.4 1.8 9.7 4.8 8.1 17.5
DEP(+) 7.1 12.2 22.7 27.0 43.2 5.3 -4.8 -1.8 -11.4 -9.8 15.9
Items 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
Table-4B: Annual Rates (in percentage) GR-EXP GR-CR GR-GCR GR-PCR TBYield 6.1 17.7 13.9 21.7 13.3 12.0 24.9 39.7 10.6 12.3 62.7 23.4 31.8 13.1 13.5 1.1 21.7 -15.4 74.7 17.5 19.6 11.2 -28.1 38.4 25.5 25.5 9.7 82.8 -16.7 30.5 19.4 32.0 47.4 19.8 22.0 12.7 24.7 20.7 28.6 12.5 5.1 15.3 16.7 14.0 13.0 -4.2 23.1 16.0 29.7 13.5 -14.8 17.4 12.3 21.7 14.7
DR-3M 11.0 11.0 1.0 9.5 14.5 15.0 9.5 6.8 9.0 9.1 10.2
Items 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
Table-4C: Annual Rates (in percentage) DR-6M DR-12M GR-TB OBD/Y INF-DF 11.5 12.3 17.7 2.2 3.0 11.3 11.8 30.2 0.9 9.8 11.3 11.8 22.7 8.5 14.9 9.5 10.0 10.3 2.6 15.0 15.0 11.0 -8.0 3.0 22.9 15.0 17.5 54.9 3.7 13.6 11.0 12.0 26.2 6.0 3.9 9.5 9.5 9.6 5.1 0.0 9.5 10.0 2.9 -0.1 2.0 9.7 11.1 9.3 2.0 8.0 10.6 10.7 6.6 3.0 4.7
Inf 3.8 0.9 4.4 8.7 17.0 14.2 3.2 2.1 5.4 7.2 5.0
14
Table-5: Descriptive Statistics for Annual Rates Variable Mean Std Dev. Inf 6.537 5.013 GR-CRY 12.851 7.145 GR-CSY 3.674 2.514 GR-M2 21.436 12.059 GR-REV 16.748 17.130 DEP(+) 9.592 16.824 GR-EXP 13.202 20.065 GR-CR 20.092 6.583 GR-GCR 21.621 29.805 GR-PCR 23.229 22.162 TBYield 17.112 6.182 DR-3M 9.681 3.743 DR-6M 11.248 2.014 DR-12M 11.584 2.160 GR-TB 16.587 16.791 OBD/Y 3.342 2.426 INF-DF 8.890 7.052
Inf GR-CRY GR-CSY GR-M2 GR-REV DEP(+) GR-EXP GR-CR GR-GCR GR-PCR TBYield DR-3M DR-6M DR-12M GR-TB OBD/Y INF-DF
Std Err 1.511 2.154 0.758 3.636 5.165 5.073 6.050 1.985 8.986 6.682 1.864 1.129 0.607 0.651 5.063 0.731 2.126
Table-6A: Correlation Matrix for Annual Rates Inf GR-CRY GR-CSY GR-M2 GR-REV 1.000 0.743 -0.043 0.381 0.716 0.743 1.000 0.126 0.531 0.337 -0.043 0.126 1.000 -0.476 -0.189 0.381 0.531 -0.476 1.000 0.245 0.716 0.337 -0.189 0.245 1.000 0.497 0.774 -0.142 0.678 0.244 0.074 0.435 0.031 0.156 -0.009 -0.749 -0.559 -0.421 -0.051 -0.724 -0.199 -0.330 -0.181 -0.420 0.266 0.056 0.135 -0.161 0.460 -0.282 0.795 0.403 -0.418 0.223 0.775 0.596 0.114 -0.327 0.228 0.691 0.734 0.599 -0.162 0.320 0.684 0.404 0.209 -0.152 -0.128 0.636 -0.052 -0.114 -0.311 -0.171 0.389 -0.079 0.139 -0.080 -0.019 -0.169 0.746 0.931 -0.243 0.698 0.405
15
N 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
DEP(+) 0.497 0.774 -0.142 0.678 0.244 1.000 0.255 -0.329 -0.516 0.392 0.292 0.139 0.493 -0.043 -0.242 0.187 0.811
Inf GR-CRY GR-CSY GR-M2 GR-REV DEP(+) GR-EXP GR-CR GR-GCR GR-PCR TBYield DR-3M DR-6M DR-12M GR-TB OBD/Y INF-DF
Table-6B: Correlation Matrix for Annual Rates GR-EXP GR-CR GR-GCR GR-PCR TBYield 0.074 -0.749 -0.199 0.056 0.795 0.435 -0.559 -0.330 0.135 0.403 0.031 -0.421 -0.181 -0.161 -0.418 0.156 -0.051 -0.420 0.460 0.223 -0.009 -0.724 0.266 -0.282 0.775 0.255 -0.329 -0.516 0.392 0.292 1.000 0.077 0.330 -0.340 0.212 0.077 1.000 0.113 0.222 -0.462 0.330 0.113 1.000 -0.831 0.264 -0.340 0.222 -0.831 1.000 -0.224 0.212 -0.462 0.264 -0.224 1.000 -0.452 -0.565 0.016 -0.111 0.639 0.368 -0.615 0.208 -0.414 0.816 0.330 -0.388 0.748 -0.692 0.690 0.371 0.041 0.910 -0.656 0.383 0.729 0.368 0.245 -0.098 0.161 0.405 -0.400 -0.263 0.196 0.547
DR-3M 0.596 0.114 -0.327 0.228 0.691 0.139 -0.452 -0.565 0.016 -0.111 0.639 1.000 0.607 0.441 0.128 -0.570 0.241
Inf GR-CRY GR-CSY GR-M2 GR-REV DEP(+) GR-EXP GR-CR GR-GCR GR-PCR TBYield DR-3M DR-6M DR-12M GR-TB OBD/Y INF-DF
Table-6C: Correlation Matrix for Annual Rates DR-6M DR-12M GR-TB OBD/Y INF-DF 0.734 0.404 -0.052 -0.079 0.746 0.599 0.209 -0.114 0.139 0.931 -0.162 -0.152 -0.311 -0.080 -0.243 0.320 -0.128 -0.171 -0.019 0.698 0.684 0.636 0.389 -0.169 0.405 0.493 -0.043 -0.242 0.187 0.811 0.368 0.330 0.371 0.729 0.405 -0.615 -0.388 0.041 0.368 -0.400 0.208 0.748 0.910 0.245 -0.263 -0.414 -0.692 -0.656 -0.098 0.196 0.816 0.690 0.383 0.161 0.547 0.607 0.441 0.128 -0.570 0.241 1.000 0.709 0.341 0.121 0.645 0.709 1.000 0.852 0.141 0.258 0.341 0.852 1.000 0.240 -0.002 0.121 0.141 0.240 1.000 0.152 0.645 0.258 -0.002 0.152 1.000
DEP(+) 0.497 0.774 -0.142 0.678 0.244 1.000 0.255 -0.329 -0.516 0.392 0.292 0.139 0.493 -0.043 -0.242 0.187 0.811
16
Table-7: Linear Regression Results: Dependent Variable = Y X Α Std t β Std t R² Error Error CPI M2 55.20 2.099 26.29 0.007 0.000 19.74 0.975 9 8 5 CPI GDP 19.51 4.081 4.781 0.837 0.046 18.22 0.971 DF 0 0 CPI GD/$ 38.13 13.80 2.762 2.438 0.609 4.003 0.616 5 8 CPI GEXP 44.36 6.132 7.236 0.017 0.002 8.249 0.872 8
=α+βX R
YIEL D YIEL D
Y
DR6 M GD/$
10.63 6.729
6.748 4.767
1.575 1.411
0.987 0.985 0.785 0.934
2.437
0.589
4.139
0.631
0.795
0.473
0.210
2.249
0.336
0.580
Table-8: Descriptive Statistics for Natural Logarithms of the Variables Variables CPI YCuMP YCstMP M2 Velocity GD/US$ EXP BankCR GovCR PvtCR TBYield DR-3M DR-6M DR-12M TBOut OBD GDPDF REV BOPB
Mean 4.479 9.599 9.811 8.341 1.258 3.010 7.805 7.918 7.140 7.279 2.783 2.150 2.413 2.450 7.842 5.964 4.394 7.510 5.192
Std Dev. 0.254 0.453 0.118 0.742 0.293 0.385 0.532 0.654 0.645 0.711 0.305 0.711 0.161 0.164 0.553 1.134 0.342 0.610 1.505
Std Err 0.073 0.131 0.034 0.214 0.085 0.111 0.154 0.189 0.186 0.205 0.088 0.205 0.046 0.047 0.160 0.327 0.099 0.176 0.435
17
CV(%) 5.7 4.7 1.2 8.9 23.3 12.8 6.8 8.3 9.0 9.8 10.9 33.1 6.7 6.7 7.1 19.0 7.8 8.1 29.0
N 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
Table-9A: Correlation Matrix (R) for Natural Logarithms of Variables CPI YCuMP YCstMP M2 Velocit GD/US$ EXP y CPI 1.000 0.987 0.949 0.985 -0.965 0.846 0.942 YCuMP 0.987 1.000 0.957 0.996 -0.973 0.893 0.964 YCstM 0.949 0.957 1.000 0.955 -0.936 0.744 0.889 P M2 0.985 0.996 0.955 1.000 -0.990 0.881 0.968 Velocit -0.965 -0.973 -0.936 -0.990 1.000 -0.848 -0.958 y GD/US 0.846 0.893 0.744 0.881 -0.848 1.000 0.900 $ EXP 0.942 0.964 0.889 0.968 -0.958 0.900 1.000 BankC 0.969 0.975 0.982 0.983 -0.978 0.790 0.936 R GovCR 0.903 0.894 0.929 0.907 -0.912 0.646 0.883 PvtCR 0.967 0.980 0.968 0.983 -0.972 0.840 0.921 TBYiel 0.164 0.205 -0.004 0.146 -0.052 0.524 0.172 d DR-3M 0.192 0.118 0.040 0.118 -0.118 0.162 -0.023 DR-6M -0.236 -0.226 -0.344 -0.279 0.357 0.047 -0.295 DR-0.233 -0.273 -0.358 -0.331 0.414 -0.148 -0.312 12M TBOut 0.962 0.970 0.941 0.976 -0.971 0.825 0.966 OBD 0.368 0.416 0.441 0.449 -0.491 0.297 0.512 GDPDF 0.980 0.995 0.923 0.990 -0.967 0.926 0.971 REV 0.994 0.975 0.939 0.978 -0.967 0.825 0.939 BOPB 0.412 0.395 0.229 0.405 -0.412 0.477 0.540
18
Table-9B: Correlation Matrix for Natural Logarithms of Variables
CPI YCuMP YCstM P M2 Velocit y GD/US $ EXP BankC R GovCR PvtCR TBYiel d DR-3M DR-6M DR12M TBOut OBD GDPDF REV BOPB
BankC R 0.969 0.975 0.982
GovCR 0.903 0.894 0.929
0.983 -0.978
PvtCR
DR-3M
DR-6M
0.967 0.980 0.968
TBYiel d 0.164 0.205 -0.004
0.192 0.118 0.040
-0.236 -0.226 -0.344
DR12M -0.233 -0.273 -0.358
0.907 -0.912
0.983 -0.972
0.146 -0.052
0.118 -0.118
-0.279 0.357
-0.331 0.414
0.790
0.646
0.840
0.524
0.162
0.047
-0.148
0.936 1.000
0.883 0.953
0.921 0.981
0.172 -0.004
-0.023 0.049
-0.295 -0.402
-0.312 -0.414
0.953 0.981 -0.004
1.000 0.877 -0.187
0.877 1.000 0.114
-0.187 0.114 1.000
-0.103 0.169 0.379
-0.543 -0.302 0.740
-0.379 -0.407 0.563
0.049 -0.402 -0.414
-0.103 -0.543 -0.379
0.169 -0.302 -0.407
0.379 0.740 0.563
1.000 0.265 0.199
0.265 1.000 0.730
0.199 0.730 1.000
0.977 0.505 0.954 0.965 0.303
0.963 0.484 0.864 0.921 0.306
0.940 0.477 0.964 0.951 0.275
0.046 -0.342 0.273 0.113 0.258
0.006 -0.425 0.142 0.189 -0.035
-0.398 -0.604 -0.181 -0.278 0.127
-0.331 -0.775 -0.238 -0.237 0.166
19
Table-9C: Correlation Matrix for Natural Logarithms of Variables
CPI YCuMP YCstM P M2 Velocit y GD/US $ EXP BankC R GovCR PvtCR TBYiel d DR-3M DR-6M DR12M TBOut OBD GDPDF REV BOPB
TBOut 0.962 0.970 0.941
OBD 0.368 0.416 0.441
GDPDF 0.980 0.995 0.923
REV 0.994 0.975 0.939
BOPB 0.412 0.395 0.229
CPI 1.000 0.987 0.949
M2 0.985 0.996 0.955
0.976 -0.971
0.449 -0.491
0.990 -0.967
0.978 -0.967
0.405 -0.412
0.985 -0.965
1.000 -0.990
0.825
0.297
0.926
0.825
0.477
0.846
0.881
0.966 0.977
0.512 0.505
0.971 0.954
0.939 0.965
0.540 0.303
0.942 0.969
0.968 0.983
0.963 0.940 0.046
0.484 0.477 -0.342
0.864 0.964 0.273
0.921 0.951 0.113
0.306 0.275 0.258
0.903 0.967 0.164
0.907 0.983 0.146
0.006 -0.398 -0.331
-0.425 -0.604 -0.775
0.142 -0.181 -0.238
0.189 -0.278 -0.237
-0.035 0.127 0.166
0.192 -0.236 -0.233
0.118 -0.279 -0.331
1.000 0.461 0.961 0.968 0.401
0.461 1.000 0.400 0.338 0.252
0.961 0.400 1.000 0.968 0.445
0.968 0.338 0.968 1.000 0.421
0.401 0.252 0.445 0.421 1.000
0.962 0.368 0.980 0.994 0.412
0.976 0.449 0.990 0.978 0.405
Table-10: X
α
Log-Linear Regression Results: Dependent Variable = Log(CPI) = α + β Log(X) Std Error
t YCUR
0.837 1.663
0.276
GDP DF BKCR
1.278
TBO UT
M2
β
Std Error
R²
R
Adj. R²
0.974
0.987
0.971
0.969
0.985
0.966
0.961
0.980
0.957
0.939
0.969
0.933
0.925
0.962
0.918
t 0.554
0.029
0.338
0.019
0.205
3.036 10.47 1 6.237
0.729
0.046
1.496
0.242
6.187
0.377
0.030
1.011
0.313
3.232
0.442
0.040
0.159
20
19.30 0 17.79 1 15.67 4 12.37 9 11.11 2
GEXP
0.965
0.399
2.422
0.450
0.051
8.836
0.886
0.942
0.875
GD/$
2.800
0.337
8.298
0.558
0.111
5.013
0.715
0.846
0.687
Table-11: Log-Linear Regression Log(Y) = α Y X α Std t Error Yield CPI 1.905 1.677 1.136 Yield DR12 0.212 1.196 0.177 M M2 YCST 50.60 5.808 8.712 GD/$ GDPD F 1.576 0.592 2.662 BKCR YCST 45.55 3.225 14.12 DR6M DR12 M 0.656 0.522 1.257 TBOU GEXP T 0.005 0.670 0.007 BOPB GD/$ 0.419 3.290 0.127 YCST BKCR 8.409 0.085 99.15 7 YCUR GEXP 3.185 0.557 5.719 VELC T GEXP GOVC R YIELD
BKCR
4.732
0.234
REV TBOU T DR6M
0.714 0.784
DR12 M OBD
OBD
1.661 1.662 0.601 3.117
EXP
2.565
4.529
CPI
YCUR
0.837 7.306 4.280 5.096 -
M2
YCUR
GD/$ REV
YCUR YCUR
GEXP
YCUR
0.976 0.175
20.25 4 2.325 2.119 0.616 17.84 2 0.566
0.908
3.036 16.20 3.672 1.093
0.942
-
0.276 0.451 1.166
Results: Dependent Variable = + β Log(X) β Std t R² R Error 0.196 0.374 0.524 0.027 0.164 1.049 0.487 2.154 0.317 0.563 10.14 9
6.008
0.592
1.044
0.134
5.450
0.329
0.717
0.213
1.004
0.086
1.865 0.177
1.085 0.011
0.822
0.071
0.439 0.818 1.122
0.029
1.402
0.403
0.112 1.093
0.029
0.554 1.630
0.029 0.047
0.759
0.121
19.30 0 34.73 2 6.261
1.313
0.095
1.132
0.098
21
0.095 0.100
0.579
0.912
0.955
7.767 16.58 1
0.858
0.926
0.965
0.982
3.373 11.72 9
0.532
0.730
0.932
0.966
1.718 16.58 1 11.54 1 14.92 8.626 11.24 8 3.476
0.228 0.965
0.477 0.982
0.930
0.964
0.957
0.978
0.882 0.927
0.939 0.963
0.547
0.740
3.878 1.887
0.601
0.775
0.263
0.512
0.974 0.992
0.987 0.996
1.093
0.797 0.951
0.893 0.975
11.54
0.930
0.964
OBD YCUR BKCR GOVC R PVTC R TBOU T GDFD F BOPB
YCUR YCUR YCUR YCUR YCUR YCUR
3.061 4.040 5.595 5.070 7.479 3.523 2.817 7.421
6.914 0.965 1.939 0.954 0.901 0.230 9.273
3.247 0.584 5.798 2.614 7.840 3.909 12.25 0.800
1 1.042
0.720
1.408 1.272
0.100 0.202
1.537 1.184
0.099 0.094
0.751
0.024
1.314
0.965
22
1.448 14.01 7 6.303 15.48 7 12.62 3 31.39 9 1.362
0.173
0.416
0.952 0.799
0.975 0.894
0.960 0.941
0.980 0.970
0.990
0.995
0.156
0.395
Table-12A: Monthly Data on Major Variables during Jan 2007 to September 2009 Year/M CPI CPICPIEXP OBB M2 GD/$ YLDYLDFD NF 3M 6M 106.8 106.6 107.1 325.6 -22.4 7788. 28.0 10.5 12.7 2007Ja 6 5 19 0 8 Feb 107.0 106.7 107.3 338.7 1.8 8000. 27.9 12.0 13.4 1 7 06 7 8 Mar 109.3 111.0 107.2 295.3 63.4 7823. 27.7 12.6 13.4 6 7 53 6 0 Apr 111.6 114.6 107.8 280.3 69.7 8008. 27.5 13.0 13.4 4 9 82 5 7 May 112.0 115.1 108.1 265.5 47.2 7983. 27.3 12.8 13.3 5 9 81 0 0 Jun 111.9 115.1 108.0 242.0 34.1 7832. 26.5 12.6 13.1 8 5 74 3 0 Jul 111.9 115.0 108.1 258.4 78.1 7937. 25.3 12.5 13.2 5 1 8 2 5 Aug 112.0 115.1 108.2 312.6 -13.0 8011. 23.2 12.6 12.9 9 9 7 4 4 Sep 111.8 114.7 108.2 327.1 -80.7 7896. 19.1 11.6 12.2 6 7 74 1 3 Oct 111.9 114.7 108.5 341.9 12.9 7820. 19.4 10.6 11.7 5 62 9 4 Nov 112.1 115.1 108.4 289.5 -41.9 7755. 21.3 10.5 11.5 3 2 46 1 2 -121.5 8273.9 22.5 Dec 112.2 115.3 108.4 357.5 10.4 11.6 6 2 9 0 112.3 115.3 108.5 328.4 -8.8 8095. 22.3 10.6 11.4 2008Ja 1 8 27 4 0 Feb 112.3 115.4 108.5 309.0 20.4 8242. 21.9 10.9 11.9 4 5 08 9 2 Mar 112.7 116.1 108.5 293.0 54.8 8278. 19.5 11.0 12.1 3 1 65 0 2 Apr 113.2 116.6 109.0 326.2 8.1 8306. 20.1 10.9 11.9 1 1 21 1 7 May 113.8 117.3 109.4 309.6 -32.8 8580. 20.6 10.2 11.3 3 9 44 4 6 Jun 114.4 118.1 109.9 447.3 -127.7 8494. 20.7 10.0 11.2 8 7 33 3 5 116.21 121.02 110.28 Jul 393.1 -122.9 8737. 20.9 9.6 10.6 1 9 Aug 117.7 123.0 111.1 252.4 -32.0 8740. 21.4 8.8 10.2 0 7 Sep 118.9 124.1 112.6 260.5 113.8 8770. 23.1 8.9 11 6 1 14 0 9 Oct 119.2 124.5 112.7 524.5 -236.4 8746. 24.9 10.3 11.4 9 8 72 4 7 23
Nov Dec 2009Ja Feb Mar Apr May Jun Jul Aug Sep
119.5 4 119.9 3 120.1 3 120.2 5 120.3 120.3 6 120.5 1 120.6 1 120.8 4 121.1 5 121.7 5
125.0 3 125.1 2 125.4 2 125.5 7 125.6 2 125.6 125.7 5 125.8 7 125.9 6 126.3 9 127.3 9
112.7 76 113.5 35 113.6 12 113.6 95 113.7 45 113.9 04 114.0 54 114.1 29 114.5 31 114.6 94 114.8 01
384.4 9 503.6 1 326.5 9 319.1 3 504.3 3 596.2 7 401.7 1 526.4 9 372.6 1 296.0 5 255.8 9
24
-81.3 -50.2 56.8 50.0 -34.8 -198.8 -105.2 -208.7 -0.3 -10.9 102.0
9287. 4 9796. 4 9656. 4 9924. 9 9883. 9 9869. 7 10063 .5 10298 .2 10311 .9 10390 .1 10585 .6
26.3
10.1
13.4
26.5
9.9
12.5
26.1
10.5
12.1
26.1
11.1
12.8
26.4
11.4
12.7
26.8
12.0
12.96
26.7
12.5
13.8
26.9
13.0
13.8
26.8
11.5
12
26.6
10.2
11.2
26.9
10.4
11.7
Table-12B: Monthly Data on Major Variables during Jan 2007 to September 2009 Year/M
YLD12M 13.6
AV.YL D 12.27
DR-3M
Feb
13.8
13.07
9
Mar
13.7
13.23
9
Apr
13.8
13.40
9.45
May
13.8
13.30
9.45
Jun
13.9
13.20
9.45
13.9
13.20
9.45
Aug
13.6
13.03
9.45
Sep
12.9
12.23
9.35
Oct
12.5
11.60
9.35
Nov
12.5
11.50
9.35
Dec
13.6
11.87
8.95
2008Ja
13.6
11.87
8.95
Feb
13.7
12.17
8.95
Mar
13.6
12.23
9.3
Apr
13.3
12.03
9.3
13
11.50
9.3
Jun
13.3
11.50
9.3
Jul
12.6
10.93
9.3
Aug
12.1
10.37
9.3
Sep
13.1
11.00
7.75
Oct
13.6
11.77
8.25
2007Ja
Jul
May
9
DR-6M
DRBkRat DisRat TBOUT REV 12M e e 9.5 9.5 10 15 4876. 302.5 0 9.5 9.5 10 15 4783. 320.8 1 9.5 9.5 9 14 4730. 354.3 6 10.45 11 9 14 4759. 342.5 3 10.45 11 9 14 4817. 305.1 8 10.45 11 10 15 4770. 267.4 3 10 11 10 15 4806. 331.3 7 10 11 10 15 4960. 295.7 9 9.85 11 10 15 4917. 228.0 7 9.85 11 10 15 4940. 265.7 8 9.85 11 10 15 4760. 243.4 8 9.45 11 10 15 4691. 211.2 3 9.45 11 10 15 4749. 320.7 8 9.45 11 10 15 4748. 295.3 8 9.8 11 10 15 4731. 340.9 1 9.8 11 10 15 4825. 319.1 6 9.8 11 10 15 4806. 279.6 2 9.8 11 10 15 4828. 290.3 8 9.8 11 10 15 4894. 269.9 5 9.8 11 10 15 5898. 211.7 8 8.5 11 10 15 4860. 362.7 1 9 11.25 10 16 5229. 252.9 1 25
Nov
13.7
12.40
9.5
10
11.25
10
16
Dec
14
12.13
10.25
10.75
11.25
10
16
2009Ja
14.4
12.33
10.25
10.75
11
10
16
Feb
14.4
12.77
10.25
10.75
11
10
16
Mar
14.4
12.83
10.25
10.75
10.75
10
16
Apr
14.58
13.18
10.25
10.75
10.75
10
16
15.3
13.87
10.25
10.75
10.75
10
16
Jun
15.6
14.13
10.25
10.75
10.75
10
16
Jul
14.4
12.62
10.25
10.75
10.75
10
16
Aug
13.3
11.55
10.25
10.75
10.75
10
16
Sep
14.3
12.15
9.5
9.5
9.5
10
16
May
26
4827. 4 4745. 5 4783. 0 4788. 1 5543. 6 4837. 6 4848. 5 4939. 1 5078. 4 5139. 6 5125. 3
224.5 332.4 368.8 344.2 378.6 386.1 277.1 313.9 361.9 284.9 357.8
Table-13: Descriptive Statistics for Monthly Variables Variable CPI CPI-FD CPI-NF EXP OBB M2 GD/$ YLD-3M YLD-6M YLD-12M AV.YLD DR-3M DR-6M DR-12M BkRate DisRate TBOUT REV
Mean 115.379 119.247 110.614 350.491 -24.761 8793.70 8 24.343 11.075 12.253 13.693 12.340 9.461 10.009 10.795 9.909 15.273 4910.43 3 304.285
Std Dev. 4.475 5.964 2.721 91.036 88.139 939.137
Std Err 0.779 1.038 0.474 15.847 15.343 163.483
CV (%) 3.9 5.0 2.5 26.0 -356.0 10.7
2.971 1.170 0.960 0.753 0.867 0.602 0.590 0.506 0.292 0.626 248.657
0.517 0.204 0.167 0.131 0.151 0.105 0.103 0.088 0.051 0.109 43.286
12.2 10.6 7.8 5.5 7.0 6.4 5.9 4.7 2.9 4.1 5.1
33 33 33 33 33 33 33 33 33 33 33
49.095
8.546
16.1
33
27
N 33 33 33 33 33 33
Table-14A: Pearson Correlation Matrix for the Monthly Variables CPI CPICPIEXP OBB M2 GD/$ YLD3 YLD6 FD NF M M CPI 1.000 0.997 0.978 0.443 - 0.919 0.235 0.253 0.264 0.129 CPI0.997 1.000 0.959 0.424 - 0.893 0.191 FD 0.251 0.274 0.154 CPI0.978 0.959 1.000 0.480 - 0.963 0.348 NF 0.252 0.231 0.057 EXP 0.443 0.424 0.480 1.000 - 0.447 0.163 0.028 0.154 0.802 OBB - 1.000 - 0.083 0.055 0.039 0.253 0.251 0.252 0.802 0.208 M2 0.919 0.893 0.963 0.447 - 1.000 0.413 - 0.034 0.208 0.120 GD/$ 0.235 0.191 0.348 0.163 0.083 0.413 1.000 0.446 0.645 YLD3 - 0.028 0.055 - 0.446 1.000 0.840 M 0.264 0.274 0.231 0.120 YLD6 - 0.154 0.039 0.034 0.645 0.840 1.000 M 0.129 0.154 0.057 YL12 0.414 0.380 0.492 0.425 - 0.588 0.678 0.573 0.698 M 0.135 AV.YL - 0.018 0.192 0.000 0.129 0.635 0.926 0.949 D 0.047 0.070 DR0.497 0.479 0.530 0.334 - 0.647 0.361 0.319 0.368 3M 0.128 DR0.426 0.415 0.441 0.300 - 0.533 0.415 0.430 0.450 6M 0.108 DR12 0.277 0.331 0.123 0.150 M 0.236 0.012 0.459 0.191 0.250 BkRat 0.313 0.301 0.335 0.247 - 0.293 e 0.309 0.339 0.474 0.372 DsRat 0.816 0.788 0.870 0.557 - 0.843 0.260 e 0.382 0.222 0.001 TBOU 0.396 0.400 0.374 0.101 - 0.317 T 0.145 0.007 0.297 0.362 REV 0.224 0.196 0.292 0.139 0.399 0.354 0.441 0.275 0.293
CPI CPIFD CPINF EXP OBB
Table-14B: Pearson Correlation Matrix for the Monthly Variables YL12 AV.YL DRDRDR12 BkRat DisRa TBOU REV M D 3M 6M M e te T 0.414 - 0.497 0.426 0.277 0.313 0.816 0.396 0.224 0.047 0.380 - 0.479 0.415 0.331 0.301 0.788 0.400 0.196 0.070 0.492 0.018 0.530 0.441 0.123 0.335 0.870 0.374 0.292 0.425 -
0.192 0.000
0.334 -
0.300 -
0.150 28
0.247 -
0.557 -
0.101 -
0.139 0.399
M2
0.135 0.588
0.129
0.128 0.647
0.108 0.533
GD/$ YLD3 M YLD6 M YL12 M AV.YL D DR3M DR6M DR12 M BkRat e DsRat e TBOU T REV
0.309 0.293
0.382 0.843
0.145 0.317
0.339 0.474 0.372 0.031 0.360 0.086
0.260
0.535
0.007 0.297 0.362 0.176 0.318 0.099
0.441
0.954
0.236 0.012 0.459 0.191 0.250 0.184 0.231 0.075
0.678
0.635
0.361
0.415
0.573
0.926
0.319
0.430
0.698
0.949
0.368
0.450
1.000
0.805
0.544
0.538
0.805
1.000
0.437
0.516
0.544
0.437
1.000
0.538
0.516
0.954
1.000
0.196
0.403
0.051
0.252
0.231 0.360 0.042
0.075
0.196
1.000
0.068 0.188
0.184 0.031 0.493
0.108
0.086
0.188
1.000
0.653
0.535
0.068 0.403
0.006 0.182
0.108
0.653
1.000
0.278
0.312 0.194 0.145
0.176 0.526
0.318 0.385
0.099
0.051
0.182
0.278
1.000
0.271
0.252
0.006 0.312
0.194
0.145
0.138
29
0.222 0.001 0.493 0.042
0.354
0.275 0.293 0.526 0.385 0.271
0.138 1.000
Table-15A: Annual Rates (in percentage) Year/ month 2008 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2009 Jan Feb Mar Apr May Jun Jul Aug Sep
INF 5.1
INFFD 8.2
INFNF 1.3
GREXP 0.9
OBD/ Y 0.04
GRM2 3.9
DEP (%) -20.1
YLD3M 10.6
YLD6M 11.4
5.0 3.1 1.4 1.6 2.2 3.8 5.0 6.3 6.6 6.6 6.8 7.0
8.1 4.5 1.7 1.9 2.6 5.2 6.8 8.1 8.6 8.6 8.5 8.7
1.1 1.2 1.1 1.2 1.7 1.9 2.6 4.0 3.9 4.0 4.7 4.7
-8.8 -0.8 16.4 16.6 84.8 52.1 -19.3 -20.4 53.4 32.8 40.9 -0.6
-0.09 -0.24 -0.04 0.15 0.57 0.55 0.14 -0.51 1.05 0.36 0.22 -0.23
3.0 5.8 3.7 7.5 8.5 10.1 9.1 11.1 11.8 19.8 18.4 19.3
-21.6 -29.7 -26.8 -24.3 -22.1 -17.3 -8.0 21.2 28.0 23.0 17.8 16.7
10.9 11.0 10.9 10.2 10.0 9.6 8.8 8.9 10.3 10.1 9.9 10.5
11.9 12.1 11.9 11.3 11.2 10.6 10.2 11.0 11.4 13.4 12.5 12.1
7.0 6.7 6.3 5.9 5.4 4.0 3.0 2.3
8.8 8.2 7.7 7.1 6.5 4.1 2.8 2.6
4.8 4.8 4.5 4.2 3.8 3.9 3.3 1.9
3.2 72.1 82.8 29.7 17.7 -5.2 17.3 -1.8
-0.20 0.14 0.80 0.42 0.83 0.00 0.04 -0.41
20.4 19.4 18.8 17.3 21.2 18.0 18.9 20.7
19.3 35.5 33.2 29.5 30.1 27.9 24.6 16.6
11.1 11.4 12.0 12.5 13.0 11.5 10.2 10.4
12.8 12.7 13.0 13.8 13.8 12.0 11.2 11.7
30
Table-15B: Annual Rates (in percentage) Year/ month 2008 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2009 Jan Feb Mar Apr May Jun Jul Aug Sep
YLD12M 13.6
AV.Y LD 11.9
DR3M 9.0
DR3M 9.0
DR6M 9.5
DR12M 11.0
DisR ate 15.0
GRTB -2.6
GRREV 6.0
13.7 13.6 13.3 13.0 13.3 12.6 12.1 13.1 13.6 13.7 14.0 14.4
12.2 12.2 12.0 11.5 11.5 10.9 10.4 11.0 11.8 12.4 12.1 12.3
9.0 9.3 9.3 9.3 9.3 9.3 9.3 7.8 8.3 9.5 10.3 10.3
9.0 9.3 9.3 9.3 9.3 9.3 9.3 7.8 8.3 9.5 10.3 10.3
9.5 9.8 9.8 9.8 9.8 9.8 9.8 8.5 9.0 10.0 10.8 10.8
11.0 11.0 11.0 11.0 11.0 11.0 11.0 11.0 11.3 11.3 11.3 11.0
15.0 15.0 15.0 15.0 15.0 15.0 15.0 15.0 16.0 16.0 16.0 16.0
-0.7 0.0 1.4 -0.2 1.2 1.8 18.9 -1.2 5.8 1.4 1.2 0.7
-7.9 -3.8 -6.8 -8.4 8.6 -18.5 -28.4 59.1 -4.8 -7.8 57.4 15.0
14.4 14.4 14.6 15.3 15.6 14.4 13.3 14.3
12.8 12.8 13.2 13.9 14.1 12.6 11.6 12.1
10.3 10.3 10.3 10.3 10.3 10.3 10.3 9.5
10.3 10.3 10.3 10.3 10.3 10.3 10.3 9.5
10.8 10.8 10.8 10.8 10.8 10.8 10.8 9.5
11.0 10.8 10.8 10.8 10.8 10.8 10.8 9.5
16.0 16.0 16.0 16.0 16.0 16.0 16.0 16.0
0.8 17.2 0.2 0.9 2.3 3.8 -12.9 5.5
16.5 11.1 21.0 -0.9 8.1 34.1 34.6 -1.4
31
Table-16: Descriptive Statistics for Annual Rates (in percentage) Variable INF INF-FD INF-NF GR-EXP OBD/Y GR-M2 DEP(%) YLD-3M YLD-6M YLD-12M AV.YLD DR-3M DR-6M DR-12M DisRate GR-TB GR-REV
Mean 4.812 6.162 3.070 22.095 0.171 13.653 7.316 10.655 11.998 13.823 12.159 9.569 10.069 10.893 15.571 2.167 8.699
Std Dev. 1.904 2.579 1.421 31.825 0.415 6.478 23.796 1.048 0.989 0.842 0.909 0.722 0.682 0.359 0.507 6.416 22.605
Std Err 0.416 0.563 0.310 6.945 0.091 1.414 5.193 0.229 0.216 0.184 0.198 0.158 0.149 0.078 0.111 1.400 4.933
32
CV (%) 39.6 41.8 46.3 144.0 242.0 47.4 325.3 9.8 8.2 6.1 7.5 7.5 6.8 3.3 3.3 296.1 259.9
N 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21
INF INF-FD INF-NF GREXP OBD/Y GR-M2 DEP(% ) YLD3M YLD6M YLD12M AV.YL D DR-3M DR-6M DR12M DisRat e GR-TB
Table-17A Correlation Matrix for INF INFINFGROBD/ FD NF EXP Y 1.000 0.963 0.806 0.087 0.163 0.963 1.000 0.618 0.013 0.130 0.806 0.618 1.000 0.221 0.186 0.087 0.013 0.221 1.000 0.715
Annual Rates GRDEP( M2 %) 0.469 0.638 0.253 0.441 0.817 0.900 0.193 0.192
YLD3M 0.121 0.058 0.235 0.207
YLD6M 0.431 0.342 0.514 0.224
0.163 0.469 0.638
0.130 0.253 0.441
0.186 0.817 0.900
0.715 0.193 0.192
1.000 0.122 0.217
0.122 1.000 0.879
0.217 0.879 1.000
0.308 0.344 0.347
0.233 0.563 0.525
0.121
0.058
0.235
0.207
0.308
0.344
0.347
1.000
0.804
0.431
0.342
0.514
0.224
0.233
0.563
0.525
0.804
1.000
0.383
0.273
0.530
0.146
0.171
0.634
0.618
0.873
0.873
0.321
0.230
0.440
0.206
0.256
0.532
0.514
0.945
0.941
0.138 0.225 0.330
-0.019 0.061 0.391
0.453 0.531 0.101
0.228 0.262 0.134
0.108 0.175 0.285
0.508
0.316
0.797
0.239
0.232
0.663 0.650 0.349 0.916
0.413 0.449 0.213 0.889
0.574 0.579 0.232 0.470
0.576 0.591 0.049 0.636
0.212
0.209
0.146
0.088
0.107
0.055
0.099
0.314
0.183
0.065 0.143
INF-NF GREXP OBD/Y
0.806 0.087
0.530 0.146
0.078 0.530 - 0.394 0.482 0.011 0.238 0.014 Correlation Matrix for Annual Rates AV. DRDRDRDis GRYLD 3M 6M 12M Rate TB 0.321 0.138 0.225 0.330 0.508 0.212 0.230 - 0.061 0.391 0.316 0.209 0.019 0.440 0.453 0.531 0.101 0.797 0.146 0.206 0.228 0.262 0.134 0.239 0.088
0.163
0.171
0.256
0.108
0.175
0.285
0.232
0.107
GR-M2
0.469
0.634
0.532
0.663
0.650
0.916
0.055
DEP(% ) YLD-
0.638
0.618
0.514
0.413
0.449
0.889
0.099
0.482
0.121
0.873
0.945
0.574
0.579
0.349 0.213 -
0.530 0.011 0.238 0.394
0.470
-
-
GRREV
INF INF-FD
Table-17B INF YLD12M 1.000 0.383 0.963 0.273
33
GRREV 0.314 0.183
3M YLD6M YLD12M AV.YL D DR-3M
0.431
0.873
0.941
0.576
0.591
0.383
1.000
0.960
0.594
0.588
0.321
0.960
1.000
0.612
0.618
0.138
0.594
0.612
1.000
0.983
DR-6M
0.225
0.588
0.618
0.983
1.000
DR12M DisRat e GR-TB
0.330
-0.318
0.508
0.715
0.205 0.632
0.211 0.638
0.058 0.639
0.212
-0.073
GRREV
0.314
0.268
0.076 0.129
0.006 0.154
0.024 0.209
0.232 0.049 0.318 0.205 0.211 0.058 1.000 0.265 0.089 0.036
0.014 0.143
0.265 1.000
0.078 0.065 0.073 0.076 0.006 0.024 0.089 0.013
0.013
1.000
0.342
0.380
0.380 1.000
0.636 0.715 0.632 0.638 0.639
0.268 0.129 0.154 0.209 0.036 0.342
Table-18A: Linear Regression Results on the basis of monthly variablesDependent Variable = CPI (CPI = α + β X) Source Coeffi Std t Sourc Coeffi Std t -cient Error e -cient Error Intercep 80.27 3.147 25.50 Interc 102.0 6.218 16.41 t 8 8 pt 91 9 M2 0.005 0.000 12.07 EXP 0.020 0.008 2.546 1 EXP 0.002 0.004 0.470 GD/$ 0.252 0.246 1.026 GD/$ -0.261 0.110 -2.370 2 R R Adj. R2 R Adj. 2 R R2 0.871 0.933 0.858 0.223 0.472 0.171 Dependent Variable = CPI = α + β X Source Coeffi Std t -cient Error Intercep 80.24 3.105 25.84 t 3 2 M2 0.005 0.000 13.71 6 GD/$ -0.263 0.109 -2.415 2 R R Adj. R2 0.870 0.933 0.861 Table-18B: Regression Results - Dependent Variable = Yield-3M = α + β X 34
Source
Coeffi -cient 17.91 7 1.249 -0.503
Std Error 4.606
3.890
0.344 0.497
3.634 -1.011
-0.095 R
0.361
0.601
0.068 Adj. R2 0.295
-1.406
R2
Intercep t DR-3M DisRate CPI
t
Sourc e Interc pt DR-3M DisRat e 0.043 R2
Coeffi -cient 15.51 1 1.190 -1.028
0.317
0.563
R
Std Error 4.345
t 3.570
0.347 0.334
3.432 -3.080
0.170 Adj. R2 0.272
Table-18C: Regression Results - Dependent Variable = Yield-6M = α + βX Source Coeffi Std t Sourc Coeffi Std t -cient Error e -cient Error Intercep 11.30 3.919 2.884 Interc 8.591 3.909 2.198 t 1 pt DR-6M 0.982 0.272 3.605 DR-6M 0.877 0.283 3.102 DisRate 0.325 0.402 0.808 DisRat -0.335 0.266 -1.258 e CPI -0.120 0.057 -2.109 R2 R Adj. R2 R Adj. 2 R R2 0.343 0.586 0.276 0.243 0.493 0.192
35
Table-18D: Regression Coefficients = α +βX Source Coeffi Std t -cient Error Interce 7.688 3.612 2.129 pt DR-12M -0.411 0.245 -1.682 DisRate CPI R2 0.311
0.442 0.032 R 0.558
0.329 0.048 Adj. R2 0.240
Dependent Variable = Yield-12M
R
0.243
0.493
R
0.872
0.934
Std Error 2.841
t 5.860
0.263
-1.041
R2
R
0.034
0.184
Adj. R2 0.003
Dependent Variable = Yield-
Adj. R2 0.219
Table-18F: Regression Coefficients α + β X= α + β X Source Coeffi Std t -cient Error Interce 1.561 0.223 6.996 pt M2 0.369 0.027 13.82 4 GD/$ -0.051 0.022 -2.315 R2
Coeffi -cient 16.64 9 -0.274
1.344 0.675
Table-18E: Regression Coefficients 12M = α + β X Source Coeffi Std t -cient Error Interce 4.636 2.872 1.614 pt DisRate 0.593 0.188 3.156 R2
Sourc e Interc pt DR12M
Sourc e Interc pt CPI
Coeffi -cient 5.658
Std Error 3.177
t 1.781
0.070
0.028
2.531
R2
R
0.171
0.414
Adj. R2 0.145
Dependent Variable = Log(CPI) = Sourc e Interc pt EXP GD/$
Adj. R2 0.863
36
Coeffi -cient 4.193
Std Error 0.209
0.064
0.027
20.04 6 2.377
0.057
0.050
1.135
R2
R
0.206
0.454
Adj. R2 0.153
t
Table-19: Descriptive Statistics for Natural Logarithms of Monthly Variables Variable CPI CPI-FD CPI-NF EXP Dummy M2 GD/$ YLD-3M YLD-6M YLD-12M AV.YLD DR-3M DR-6M DR-12M BkRate DisRate TBOUT REV
Mean 4.747 4.780 4.706 5.830 0.606 9.076 3.185 2.399 2.503 2.615 2.510 2.245 2.302 2.378 2.293 2.725 8.498 5.705
Std Dev. 0.039 0.050 0.025 0.238 0.496 0.104 0.126 0.106 0.079 0.055 0.071 0.065 0.060 0.049 0.031 0.041 0.048 0.169
Std Err 0.007 0.009 0.004 0.041 0.086 0.018 0.022 0.018 0.014 0.010 0.012 0.011 0.010 0.009 0.005 0.007 0.008 0.029
37
CV (%) 0.8 1.1 0.5 4.1 81.9 1.1 4.0 4.4 3.2 2.1 2.8 2.9 2.6 2.1 1.3 1.5 0.6 3.0
N 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33
Table-20A: Correlation Matrix (R) of natural logarithms of monthly variables CPI CPI-FD CPI-NF EXP Dumy M2 GD/$ YLD3 YLD6 YL12 M M M CPI 1.000 0.996 0.976 0.415 0.370 0.921 0.238 - 0.394 0.271 0.140 CPI0.996 1.000 0.954 0.392 0.360 0.893 0.189 - 0.357 FD 0.280 0.168 CPI0.976 0.954 1.000 0.459 0.383 0.965 0.354 - 0.477 NF 0.234 0.064 EXP 0.415 0.392 0.459 1.000 0.495 0.444 0.132 0.022 0.146 0.402 Dumy 0.370 0.360 0.383 0.495 1.000 0.385 0.032 0.287 0.268 0.003 M2 0.921 0.893 0.965 0.444 0.385 1.000 0.408 - 0.018 0.569 0.134 GD/$ 0.238 0.189 0.354 0.132 - 0.408 1.000 0.426 0.627 0.685 0.032 YLD3 - -0.280 -0.234 0.022 - 0.426 1.000 0.842 0.583 M 0.271 0.287 0.134 YLD6 - -0.168 -0.064 0.146 - 0.018 0.627 0.842 1.000 0.705 M 0.140 0.268 YL12 0.394 0.357 0.477 0.402 - 0.569 0.685 0.583 0.705 1.000 M 0.003 AV.YL - -0.085 0.008 0.176 - 0.108 0.623 0.927 0.952 0.808 D 0.061 0.230 DR3M 0.462 0.444 0.494 0.319 0.212 0.609 0.339 0.342 0.371 0.516 DR6M 0.404 0.394 0.418 0.284 0.095 0.507 0.396 0.441 0.450 0.516 DR1Y 0.295 0.354 0.133 0.151 0.044 0.012 0.440 0.190 0.248 0.183 BkRat 0.313 0.299 0.337 0.264 0.392 0.299 e 0.327 0.455 0.365 0.040 DisRT 0.804 0.772 0.862 0.552 0.460 0.837 0.254 - 0.473 0.214 0.007 TBOU 0.405 0.406 0.387 0.078 0.386 0.332 0.005 T 0.309 0.374 0.183 REV 0.189 0.158 0.263 0.098 - 0.326 0.433 0.300 0.316 0.538 0.352 Table-20B: Correlation Matrix (R) of natural logarithms of monthly variables AV.YL DR-3M DR-6M DR1Y BkRat DisRT TBOU REV AV.YL M2 D e T D CPI 0.462 0.404 0.295 0.313 0.804 0.405 0.189 - 0.921 0.061 0.061 CPI0.444 0.394 0.354 0.299 0.772 0.406 0.158 - 0.893 FD 0.085 0.085 38
CPINF EXP Dumy
0.008
0.494
0.418
0.133
0.337
0.862
0.387
0.263
0.008
0.965
0.176 0.230 0.108 0.623
0.319 0.212
0.284 0.095
0.151 0.044
0.264 0.392
0.552 0.460
0.078 0.386
0.507 0.396
0.332 0.005
0.927
0.342
0.441 0.450
0.316
0.952
0.134 0.018
0.808
0.516
0.516
0.538
0.808
0.569
1.000
0.436
0.510
0.406
1.000
0.108
0.436 0.510
1.000 0.955
0.955 1.000
0.309 0.374 0.183 0.330 0.096 0.051
0.927
0.371
0.214 0.007 0.473
0.300
0.952
0.244 0.235
0.436 0.510
0.609 0.507
DR1Y
0.229 0.355 0.035 0.330 0.406
0.076
0.201
1.000
0.299 0.327 0.455 0.365 0.040 0.355 0.076 0.070 0.189
0.837 0.254
YLD3 M YLD6 M YL12 M AV.YL D DR3M DR6M
0.012 0.440 0.190 0.248 0.183 0.229 0.076 0.201
0.176 0.230 0.108 0.623
0.444 0.385
0.609 0.339
0.098 0.352 0.326 0.433
-0.070
0.189
1.000
0.671
0.501 0.096
0.379 0.051
0.671 0.188
1.000 0.292
0.292 1.000
0.244
0.235
0.114 0.007 0.310
0.199
0.117
0.163
0.310 0.199 0.117 0.163 1.000
0.229 0.355 0.035 0.330 0.406
0.012
0.076
0.007 0.188
M2 GD/$
BkRat e DisRT TBOU T REV
Table-21: Log-Linear Regression Results: Log(CPI) = α + β Log(X) X
α
Std Error
t
β
0.035 0.501 0.379 0.114
Dependent Variable =
Std Error
R²
R
Adj. R²
0.849
0.921
0.844
0.647
0.804
0.636
t
M2
1.627
0.236
6.886
0.344
0.026
DISR T GEXP
2.682
0.274
9.790
0.758
0.101
13.20 7 7.540
4.352
0.156
0.068
0.027
2.537
0.172
0.415
0.145
TBO UT GD/$
1.947
1.134
27.89 9 1.717
1.947
1.134
2.469
0.164
0.405
0.137
4.515
0.171
0.073
0.054
1.362
0.056
0.238
0.026
DR3 M
4.127
0.214
26.39 8 19.27 6
0.276
0.095
2.897
0.213
0.462
0.188
39
1.000 0.408
0.299 0.837 0.332 0.326
Table-22: Log-Linear Regression Results: α + β Log(X) Y
X
α
YLD3 M YLD6 M YL12 M YLD3 M YLD6 M YL12 M M2 M2
CPI
DR3M DR6M DR12 M DR3M DR6M DR12 M
t
β
5.907
Std Error 2.240
2.638
CPI
3.859
1.719
2.245
CPI
1.105
DISRT
0.023 3.898
1.229
0.021 3.171
0.739 0.286 0.556
DISRT
2.540
0.939
2.705
DISRT
0.902
0.573
DISRT TBOU T CPI
3.320 2.932 1.417 0.636 0.606
CPI CPI
Dependent Variable = Log(Y) = Std Error 0.472 0.362 0.233 0.451
1.574
0.550 0.014 0.629
0.677 3.137
4.902 0.935
2.112 0.723
0.248 0.369
1.264
1.121 0.532 0.587
0.771
0.266
0.345 0.210
t
R²
R
1.567 0.789 2.388
0.073
0.271
0.020
0.140
0.155
0.394
1.219 0.039 2.992
0.046
0.214
0.000
0.007
0.224
0.473
8.501
0.700 0.110
0.837 0.332
0.213
0.462
0.163
0.404
0.087
0.295
0.251
0.501
0.144
0.379
0.013
0.114
1.959 1.196 1.032
2.897 0.619
0.252
0.373
0.217
2.457 1.718
DISRT
0.095
0.667
0.143
0.789
0.245
DISRT
0.144
0.379
1.240
0.144
0.379
3.223 DISRT
2.008
0.580
3.461
0.136
40
0.213
2.279 0.638