RDP 8809: The Intertemporal Government Budget Constraint and Tests for Bubbles 8. Figures and Tables

Figure 1 SURPLUS vs DEBT OUTSTANDING

Graph 1: Nominal
… Debt Outstanding — Surplus
Graph 1: Nominal
Graph 2: Deflated by GOP
… Debt Outstanding — Surplus
Graph 2: Deflated by GOP

Note that the definition of a surplus here is the surplus excluding interest payments as employed in the paper (i.e. includes state and local surpluses excluding public trading enterprises and including scignorage)

Figure 2 GOVERNMENT SPENDING vs TAXATION PLUS SEIGNIORAGE

Graph 3: Nominal
… Government Spending — Taxation + Seigniorage
Graph 3: Nominal
Graph 4: Deflated by GDP
… Government Spending — Taxation + Seigniorage
Graph 4: Deflated by GDP
TABLE 1: GOVERNMENT DEFICITS AND DEBT OUTSTANDING – 1955 TO 1987
  DEFICIT DEBT OUTSTANDING
  level % GDP level % GDP
1955 110 1.14 7,007 72.89
1956 159 1.53 7,248 69.59
1957 46 0.41 7,511 66.21
1958 46 0.40 7,475 64.45
1959 271 2.17 7,634 61.25
1960 234 1.70 7,694 55.97
1961 32 0.22 7,871 53.85
1962 358 2.39 8,156 54.49
1963 415 2.56 8,646 53.43
1964 419 2.33 9,188 51.13
1965 183 0.93 9,420 47.65
1966 255 1.23 9,947 47.89
1967 552 2.41 10,394 45.45
1968 643 2.63 10,876 44.55
1969 386 1.40 11,667 42.33
1970 191 0.63 12,015 39.34
1971 10 0.03 12,582 37.29
1972 134 0.36 13,534 35.92
1973 696 1.62 14,133 32.94
1974 281 0.55 13,863 26.99
1975 2,552 4.13 16,494 26.70
1976 3,567 4.90 17,599 24.17
1977 2,685 3.23 19,051 22.91
1978 3,283 3.63 22,531 24.94
1979 3,426 3.35 25,889 25.34
1980 1,989 1.73 27,566 24.02
1981 1,080 0.83 27,856 21.29
1982 553 0.37 28,697 19.40
1983 4,448 2.77 35,504 22.08
1984 7,932 4.40 43,972 24.38
1985 6,720 3.35 49,169 24.51
1986 5,726 2.56 54,783 24.54
1987 2,716 1.10 60,631 24.60

Figures for the Deficit (Commomwealth government only, unadjusted for Public Trading Enterprises and interest payments) and Debt outstanding are from tables 2.14 and 2.23 from Occasional Paper No. 8A published by the RBA. RBA holdings of debt are not included in debt outstanding. Note that this measure of the deficit is that usually considered when fiscal policy is discussed and not the definition of the deficit used in this study.

TABLE 2: TESTS FOR STATIONARITY
  Govt. Exp. Excluding Interest Payments Govt. Exp. Including Interest Payments Taxation plus Seignorage
Time Trend t-statistic 2.13 2.29 2.25
DF −2.38 −2.50 −2.35
ADF −1.98 −2.00 −1.76
Adjusted DF −2.26 −2.37 −2.25
Perron and Phillips (PP) 2.36 2.59 2.41
Stock and Watson (SW) −10.49 −10.93 −10.17

The null hypothesis of non-stationarity is rejected at the 95 per cent significance level if the DF or ADF statistic is greater than −3.60. The critical values for the PP and SW tests (95 per cent) are 7.24 and −21.7, respectively.

TABLE 3: COINTEGRATION TESTS
  Govt Exp Excluding
Interest Payments
Govt Exp Including
Interest Payments
Constant Not Constant Constant Not Constant
Constant 0.026
(1.11)
×
 
−0.023
(−0.91)
×
 
Alpha 0.934
(15.59)
0.998
(114.27)
0.961
(16.35)
0.908
(118.80)
CRDW 1.26 1.26 1.32 1.19
ADF −2.34 −3.94 −4.33 −4.41
R2 0.89 0.997 0.90 0.997
Inline Equation 7.36 7.75 9.40 9.77
PP 6.27 6.63 7.94 8.26
SW   −21.56   −20.86

The null hypothesis of no cointegration is rejected at the 95% significance level if the CRDW exceeds 0.386. The critical value for the ADF statistic is −3.37. The Critical value for the SW statistic is −17.5 (95%). The Inline Equation and PP critical values for the cointegrating case are unknown and excluded here as an extra guide.

TABLE 4: TESTS FOR STATIONARITY
Test Deficit Excluding
Interest Payments
Deficit Including
Interest Payments
DF −4.00 −4.27
Adjusted DF −3.82 −4.16
Inline Equation 7.75 9.13
Perron and Phillips (PP) 6.61 7.71
Stock and Watson (SW) −21.67 −23.54

The null hypothesis of non-stationarity is accepted at the 95 per cent significance level if the DF statistics are greater than −3.00. The critical values for the Inline Equation and PP tests are 7.24 (95%) and 5.91 (90%) and for the SW test is −14.1 (95%).

TABLE 5: RESTRICTED FLOOD GARBER TEST
Equation (11)
 
Equation (12)
 
Parameters
A0 1.33 (7.08)
k1 0.26 (17.07)
k2 0.0007 (0.17)
a1 0.33 (1.07)
b −4.75 (−0.12)
(t statistics in brackets)
Log of the likelihood 120.451
Durbin Watson Statistics
– Equation 1 0.17
– Equation 2 1.75