RDP 8809: The Intertemporal Government Budget Constraint and Tests for Bubbles 8. Figures and Tables
November 1988
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Figure 1 SURPLUS vs DEBT OUTSTANDING


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


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. |
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. |
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 |
![]() |
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 |
Test | Deficit Excluding Interest Payments |
Deficit Including Interest Payments |
---|---|---|
DF | −4.00 | −4.27 |
Adjusted DF | −3.82 | −4.16 |
![]() |
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 |
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 |