EU accession: a road to fast-track convergence?
Bower, Uwe ; Turrini, Alessandro
Table A1: Further robustness checks
(1) (2)
Estimation method OLS OLS
Log initial GDP per capita -2.20 *** -2.15 ***
(-6.91) (-4.78)
Population growth (initial values) -0.38 * -0.46 *
(-1.93) (-1.82)
Investment ratio (initial values) 0.087 *** 0.066 **
(4.29) (2.49)
Openness ratio (initial values) 0.0083 *** 0.0065 *
(2.98) (1.96)
Terms of trade growth (initial values) 3.96 ** 7.74 ***
(2.21) (2.90)
Output loss (initial values) 0.41 0.83
(0.44) (0.98)
Population growth
Investment ratio
Openness ratio
Terms of trade growth
Output loss
Legal system quality index 0.19 0.39 **
(1.47) (2.22)
Freedom of trade index 0.25 ** 0.45 **
(2.13) (2.33)
Regulation quality index 0.034 -0.29
(0.16) (-1.01)
NMS (dummy) -1.08 -1.16
(-1.20) (-1.21)
NMS during 1990-1994 (dummy) 1.07 1.66
(0.49) (0.69)
NMS during 2000-2004 (dummy) 3.02 *** 3.34 ***
(2.87) (3.10)
NMS after 2005 (dummy) 2.15 ** 2.53 **
(2.27) (2.58)
Maximum time period 1960-2009 1990-2009
Observations 340 200
Adjusted [R.sup.2] 0.446 0.448
First-stage IV estimation
Relative price of investment
Investment ratio (initial values)
Openness ratio (initial values)
Terms of trade growth (initial values)
Output loss (initial values)
Kleinbergen-Paap F statistic
(3) (4)
Estimation method IV IV
Log initial GDP per capita -2.15 *** -2.21 ***
(-7.64) (-5.64)
Population growth (initial values)
Investment ratio (initial values)
Openness ratio (initial values)
Terms of trade growth (initial values)
Output loss (initial values)
Population growth -0.42 * -0.52 *
(-1.79) (-1.67)
Investment ratio 0.100 *** 0.073 **
(4.50) (2.54)
Openness ratio 0.0087 *** (0.0073 **
(3.29) (2.28)
Terms of trade growth 14.8 ** 22.1 ***
(2.22) (2.72)
Output loss 0.30 0.58
(0.34) (0.70)
Legal system quality index 0.20 * 0.37 **
(1.83) (2.41)
Freedom of trade index 0.18 * 0.46 **
(1.66) (2.51)
Regulation quality index 0.071 -0.26
0.36) (-0.97)
NMS (dummy) -1.12 -1.33
(-1.34) (-1.44)
NMS during 1990-1994 (dummy) 1.08 1.86
(0.51) (0.79)
NMS during 2000-2004 (dummy) 2.88 *** 3.20 ***
(3.03) (3.23)
NMS after 2005 (dummy) 2.24 ** 2.54 ***
(2.56) (2.75)
Maximum time period 1960-2009 1990-2009
Observations 341 201
Adjusted [R.sup.2] 0.474 0.436
First-stage IV estimation
Relative price of investment -0.02 *** -0.01 **
(-4.32) (-2.33)
Investment ratio (initial values) 0.83 *** 0.86 ***
(28.47) (21.07)
Openness ratio (initial values) 0.99 *** 0.99 ***
(78.55) (65.79)
Terms of trade growth (initial values) 0.27 *** 0.34 ***
(6.93) (6.90)
Output loss (initial values) 1.07 *** 1.06 ***
(25.10) (24.29)
Kleinbergen-Paap F statistic 9.94 9.93
Notes: OLS (columns 1-2), IV (columns
3-4). See also notes to Table 1.
1990-1994 1995-1999 2000-2004 post-2005
Average growth rates of real per capita GDP, in %
NMS 3.4 3.6 4.9 2.7
OMS 1.3 3.1 2.1 0.3
1990-1994 1995-1999 2000-2004 post-2005
Average growth rates of real per capita GDP, in %
New member states 3.4 3.6 4.9 2.7
Other transition economies 4.5 2.5 7 5.5
Table 1: Baseline results
(1) (2)
Sample Full Full
Log initial GDP per capita -1.87 *** -1.62 ***
(-7.03) (-8.43)
Population growth -0.22 -0.25 *
(-1.44) (-1.66)
Investment (in % of GDP) 0.15 *** 0.14 ***
(9.26) (9.14)
Openness (in % of GDP) 0.0041 ** 0.0038 *
(2.09) (1.90)
Years of schooling 0.099 *
(1.66)
Terms of trade growth
Output loss
Legal system quality index
Freedom of trade index
Regulation quality index
NMS (dummy)
NMS during 1990-1994 (dummy)
NMS during 1995-1999 (dummy)
NMS during 2000-2004 (dummy)
NMS after 2005 (dummy)
Observations 406 406
Adjusted [R.sup.2] 0.557 0.555
(3) (4)
Sample Full Full
Log initial GDP per capita -1.62 *** -2.03 ***
(-6.24) (-6.92)
Population growth 0.029 -0.38 *
(0.12) (-1.65)
Investment (in % of GDP) 0.13 *** 0.13 ***
(5.67) (5.63)
Openness (in % of GDP) 0.010 *** 0.0073 ***
(4.08) (2.83)
Years of schooling
Terms of trade growth 5.26 6.41*
(1.16) (1.92)
Output loss 0.68
(0.85)
Legal system quality index 0.12
(1.07)
Freedom of trade index 0.23 **
(2.19)
Regulation quality index 0.11
(0.56)
NMS (dummy) -0.54 -0.59
(-0.63) (-0.73)
NMS during 1990-1994 (dummy) -2.97 ** -1.13
(-2.27) (-0.70)
NMS during 1995-1999 (dummy)
NMS during 2000-2004 (dummy) 2.82 *** 2.65 ***
(2.72) (2.71)
NMS after 2005 (dummy) 2.15 ** 1.78 **
(2.44) (2.07)
Observations 455 351
Adjusted [R.sup.2] 0.457 0.493
(5) (6)
Sample Post 1990 Transition
Log initial GDP per capita -1.96 *** -3.54 ***
(-4.61) (-3.13)
Population growth -0.43 0.074
(-1.44) (0.082)
Investment (in % of GDP) 0.10 *** 0.034
(3.39) (0.43)
Openness (in % of GDP) 0.0056 * -0.025
(1.84) (-1.08)
Years of schooling
Terms of trade growth 9.13 22.4
(1.62) (1.29)
Output loss 0.97 0.037
(1.24) (0.017)
Legal system quality index 0.26 1.21 *
(1.44) (1.88)
Freedom of trade index 0.45 ** 1.77 **
(2.41) (2.32)
Regulation quality index -0.13 0.16
(-0.49) (0.22)
NMS (dummy) -0.65 -0.50
(-0.72) (-0.23)
NMS during 1990-1994 (dummy) -0.88 -4.90 **
(-0.50) (-2.23)
NMS during 1995-1999 (dummy)
NMS during 2000-2004 (dummy) 2.95 *** -0.72
(2.90) (-0.34)
NMS after 2005 (dummy) 2.01 ** -0.69
(2.23) (-0.34)
Observations 208 51
Adjusted [R.sup.2] 0.464 0.595
(7)
Sample Transition
Log initial GDP per capita -3.54 ***
(-3.13)
Population growth 0.074
(0.082)
Investment (in % of GDP) 0.034
(0.43)
Openness (in % of GDP) -0.025
(-1.08)
Years of schooling
Terms of trade growth 22.4
(1.29)
Output loss 0.037
(0.017)
Legal system quality index 1.21 *
(1.88)
Freedom of trade index 1.77 **
(2.32)
Regulation quality index 0.16
(0.22)
NMS (dummy) -5.41 **
(-2.40)
NMS during 1990-1994 (dummy)
NMS during 1995-1999 (dummy) 4.90 **
(2.23)
NMS during 2000-2004 (dummy) 4.19
(1.60)
NMS after 2005 (dummy) 4.21
(1.50)
Observations 51
Adjusted [R.sup.2] 0.595
Notes: Estimation method: OLS. t statistics are reported in
parentheses. The panel structure employs non-overlapping 5-year
periods. *, **, *** denote statistical significance at 10%, 5% and
1% level, using robust standard errors. Column (1) displays standard
textbook specification, column (2) repeats the same regression
excluding the schooling variable but using the same sample as (1).
All specifications include world region dummies, time period dummies
(1995-1999 period omitted) and the interaction between the two sets
of dummies. World regions are defined as follows: OMS (omitted), NMS,
non-EU OECD, non-EU non-OECD; in column (6), the reference group to
the NMS dummy are the remaining transition economies. In column (7),
the 1990-1994 period is omitted.
Table 2: Addressing the possible endogeneity of the investment variable
(1) (2)
Maximum time period Full Post1990
Estimation method OLS OLS
Log initial GDP per capita -2.11 *** -1.94 ***
(-7.02) (-4.51)
Population growth -0.54 ** -0.65 **
(-2.25) (-2.11)
Initial investment (in % of GDP) 0.072 *** 0.044 *
(3.66) (1.74)
Relative price of investment
Investment (instrumented)
Openness (in % of GDP) 0.0088 *** 0.0069 **
(3.23) (2.17)
Terms of trade growth 5.97 * 7.53
(1.75) (1.39)
Output loss 1.42 * 1.80 **
(1.80) (2.36)
Legal system quality index 0.18 0.33 *
(1.44) (1.80)
Freedom of trade index 0.22 ** 0.40 **
(1.99) (2.19)
Regulation quality index 0.086 -0.18
(0.43) (-0.65)
NMS (dummy) -0.93 -0.98
(-1.06) (-1.03)
NMS during 1990-1994 (dummy) -0.59 -0.25
(-0.31) (-0.12)
NMS during 2000-2004 (dummy) 2.71 *** 3.04 ***
(2.68) (2.92)
NMS after 2005 (dummy) 1.72 * 2.00 **
(1.87) (2.09)
Observations 350 207
Adjusted [R.sup.2] 0.437 0.425
First-stage IV estimation
Relative price of investment
Initial investment (in % of GDP)
Kleinbergen-Paap F statistic
Stock-Yogo 10% critical value
(3) (4)
Maximum time period Full Post1990
Estimation method OLS OLS
Log initial GDP per capita -2.27 *** -2.17 ***
(-7.32) (-4.80)
Population growth -0.58 ** -0.63 **
(-2.44) (-2.11)
Initial investment (in % of GDP)
Relative price of investment -0.013 *** -0.012 **
(-3.27) (-2.29)
Investment (instrumented)
Openness (in % of GDP) 0.011 *** 0.0090 ***
(4.12) (2.92)
Terms of trade growth 5.27 9.47
(1.38) (1.63)
Output loss 1.90 ** 1.95 ***
(2.41) (2.61)
Legal system quality index 0.18 0.30
(1.35) (1.55)
Freedom of trade index 0.13 0.31
(1.15) (1.65)
Regulation quality index 0.072 -0.17
(0.37) (-0.67
NMS (dummy) -0.87 -0.89
(-1.05) (-0.99)
NMS during 1990-1994 (dummy) -1.27 -1.00
(-0.75) (-0.54)
NMS during 2000-2004 (dummy) 2.65 *** 2.94 ***
(2.77) (2.94)
NMS after 2005 (dummy) 1.85 ** 2.12 **
(2.09) (2.31)
Observations 350 207
Adjusted [R.sup.2] 0.433 0.436
First-stage IV estimation
Relative price of investment
Initial investment (in % of GDP)
Kleinbergen-Paap F statistic
Stock-Yogo 10% critical value
(5) (6)
Maximum time period Full Post1990
Estimation method IV IV
Log initial GDP per capita -2.05 *** -1.94 ***
(-7.53) (-4.88)
Population growth -0.53 ** -0.64 **
(-2.41) (-2.23)
Initial investment (in % of GDP)
Relative price of investment
Investment (instrumented) 0.084 *** 0.051 *
(4.04) (1.93)
Openness (in % of GDP) 0.0085 *** 0.0069 **
(3.40) (2.33)
Terms of trade growth 5.53 * 7.25
(1.78) (1.45)
Output loss 1.31 * 1.72 **
(1.80) (2.45)
Legal system quality index 0.17 0.32 *
(1.49) (1.90)
Freedom of trade index 0.20 ** 0.40 **
(2.02) (2.37)
Regulation quality index 0.083 -0.17
(0.45) (-0.67)
NMS (dummy) -0.93 -1.00
(-1.18) (-1.15)
NMS during 1990-1994 (dummy) -0.51 -0.19
(-0.29) (-0.10)
NMS during 2000-2004 (dummy) 2.71 *** 3.03 ***
(2.98) (3.20)
NMS after 2005 (dummy) 1.92 ** 2.15 **
(2.29) (2.44)
Observations 349 206
Adjusted [R.sup.2] 0.480 0.450
First-stage IV estimation
Relative price of investment -0.016 *** -0.013 ***
(-4.40) (-2.68)
Initial investment (in % of GDP) 0.82 *** 0.84 ***
(27.50) (19.71)
Kleinbergen-Paap F statistic 661.38 357.62
Stock-Yogo 10% critical value 19.93 19.93
Notes: OLS (columns 1-4), IV (columns 5-6). See also notes to Table 1.
Table 3: IV regressions with interaction terms
(1) (2)
Sample Full Transition
Estimation method IV OLS
Log initial GDP per capita -1.67 *** -2.34 **
(-7.18) (-2.43)
Population growth -0.47 ** 0.36
(-2.12) (0.40)
Investment (in % of GDP, 0.089 *** 0.076
instrumented in case of IV) (4.23) (0.95)
Openness (in % of GDP) 0.0083 *** -0.023
(3.31) (-1.11)
Terms of trade growth 5.43 * 19.6
(1.75) (1.14)
Output loss 1.30 * -0.63
(1.80) (-0.29)
Private credit (in % of GDP)
Legal system quality index 0.18 1.51 **
(1.56) (2.46)
Freedom of trade index 0.22 ** 2.03 ***
(2.15) (2.78)
Regulation quality index 0.045 -0.28
(0.25) (-0.38)
NMS (dummy) -0.80 -1.27
(-1.01) (-0.59)
NMS during 1990-1994 (dummy) -0.56 -4.65 **
(-0.33) (-2.26)
NMS during 2000-2004 (dummy) 2.78 *** -0.72
(3.32) (-0.35)
NMS after 2005 (dummy) 1.94 ** 0.45
(2.31) (0.22)
(NMS 2000-2004) * -2.89 *** -4.28 **
(log initial GDP per capita) (-4.00) (-2.44)
(NMS 2000-2004) x
(legal system quality)
(NMS 2000-2004) x
(private credit ratio)
Observations 349 51
Adjusted [R.sup.2] 0.488 0.632
First-stage IV estimation
Relative price of investment -0.02 ***
(-4.40)
Initial investment (in % of GDP) 0.82 ***
(27.05)
Kleinbergen-Paap F statistic 642.47
Stock-Yogo 10% critical value 19.93
(3) (4)
Sample Full Transition
Estimation method IV OLS
Log initial GDP per capita -2.02 *** -3.28 ***
(-7.38) (-2.86)
Population growth -0.51 ** 0.31
(-2.27) (0.36)
Investment (in % of GDP, 0.086 *** 0.057
instrumented in case of IV) (4.09) (0.70)
Openness (in % of GDP) 0.0084 *** -0.024
(3.36) (-1.05)
Terms of trade growth 5.45 * 19.8
(1.76) (1.12)
Output loss 1.31 * -0.50
(1.81) (-0.22)
Private credit (in % of GDP)
Legal system quality index 0.30 2.59 **
(1.54) (2.32)
Freedom of trade index 0.21 ** 2.02 **
(2.08) (2.68)
Regulation quality index 0.073 -0.0084
(0.39) (-0.012)
NMS (dummy) -0.87 -1.19
(-1.10) (-0.55)
NMS during 1990-1994 (dummy) -0.53 -4.26 **
(-0.31) (-2.08)
NMS during 2000-2004 (dummy) 2.16 ** -1.75
(2.18) (-0.77)
NMS after 2005 (dummy) 1.92 ** -0.57
(2.29) (-0.28)
(NMS 2000-2004) *
(log initial GDP per capita)
(NMS 2000-2004) x -1.74 * -3.24 *
(legal system quality) (-1.71) (-1.85)
(NMS 2000-2004) x
(private credit ratio)
Observations 349 51
Adjusted [R.sup.2] 0.481 0.608
First-stage IV estimation
Relative price of investment -0.02 ***
(-4.39)
Initial investment (in % of GDP) 0.82 ***
(27.08)
Kleinbergen-Paap F statistic 647.44
Stock-Yogo 10% critical value 19.93
(5) (6)
Sample Full Transition
Estimation method IV OLS
Log initial GDP per capita -1.81 *** -1.88
(-6.57) (-1.22)
Population growth -0.37 * 0.068
(-1.85) (0.052)
Investment (in % of GDP, 0.085 *** 0.094
instrumented in case of IV) (4.15) (0.93)
Openness (in % of GDP) 0.0090 *** -0.0068
(4.24) (-0.27)
Terms of trade growth 8.80 ** 40.4 **
(2.37) (2.41)
Output loss 0.46 0.48
(0.47) (0.12)
Private credit (in % of GDP) -0.19 * 1.02
(-1.91) (0.63)
Legal system quality index 0.18 0.61
(1.58) (0.91)
Freedom of trade index 0.17 1.46
(1.57) (1.53)
Regulation quality index 0.025 -0.25
(0.15) (-0.46)
NMS (dummy) -0.59 -0.94
(-0.76) (-0.48)
NMS during 1990-1994 (dummy) 0.14
(0.083)
NMS during 2000-2004 (dummy) -1.44 -4.04 *
(-1.63) (-2.08)
NMS after 2005 (dummy) 1.31 1.08
(1.50) (0.67)
(NMS 2000-2004) *
(log initial GDP per capita)
(NMS 2000-2004) x
(legal system quality)
(NMS 2000-2004) x -5.72 *** -7.76 **
(private credit ratio) (-6.14) (-2.76)
Observations 320 37
Adjusted [R.sup.2] 0.478 0.614
First-stage IV estimation
Relative price of investment -0.02 ***
(-3.99)
Initial investment (in % of GDP) 0.82 ***
(23.11)
Kleinbergen-Paap F statistic 552.36
Stock-Yogo 10% critical value 19.93
Notes: OLS (columns 1, 3 and 5), IV (columns
2, 4 and 6). See also notes to Table 1.