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Econ 240 C Lecture 13
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2 Part I. CA Budget Crisis
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3 CA Budget Crisis w What is Happening to UC? UC Budget from the state General Fund
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4 UC Budget w Econ 240A Lab Four w New data for Fiscal Year 2004-05 w Governor’s Budget Summary 2004-05 released January 2004 http://www.dof.ca.gov/
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6 CA Budget Crisis w What is happening to the CA economy? CA personal income
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Log Scale
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11 CA Budget Crisis w How is UC faring relative to the CA economy?
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13 CA Budget Crisis w What is happening to CA state Government? General Fund Expenditures?
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15 CA Budget Crisis w How is CA state government General Fund expenditure faring relative to the CA economy?
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17 Long Run Pattern Analysis w Make use of definitions: w UCBudget = (UCBudget/CA Gen Fnd Exp)*(CA Gen Fnd Exp/CA Pers Inc)* CA Pers Inc w UC Budget = UC Budget Share*Relative Size of CA Government*CA Pers Inc
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18 What has happened to UC’s Share of CA General Fund Expenditures? w UC Budget Share = (UC Budget/CA Gen Fnd Exp)
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22 UC Budget Crisis w UC’s Budget Share goes down about one tenth of one per cent per year will the legislature continue to lower UC’s share? Probably, since competing constituencies such as prisons, health and K-12 will continue to lobby the legislature.
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23 What has happened to the size of California Government Expenditure Relative to Personal Income? w Relative Size of CA Government = (CA Gen Fnd Exp/CA Pers Inc)
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25 California Political History w Proposition 13 approximately 2/3 of CA voters passed Prop. 13 on June 6, 1978 reducing property tax and shifting fiscal responsibility from the local to state level w Gann Inititiative (Prop 4) In November 1979, the Gann initiative was passed by the voters, limits real per capita government expenditures
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26 CA Budget Crisis w Estimate of the relative size of the CA government: 6.00 %
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27 CA Budget Crisis: Pattern Estimate of UC Budget w UC Budget = UC Budget Share*Relative Size of CA Government*CA Pers Inc w Political trends estimate w UC Budget = 0.035*.060*1266.4 $B =$ 2.66 B estimate w Governor’s proposal in January: $ 2.67 B
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28 Econometric Estimates of UCBUD w Linear trend w Exponential trend w Linear dependence on CAPY w Constant elasticity of CAPY
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29 Econometric Estimates w Linear Trend Estimate w UCBUDB(t) = a + b*t +e(t) about 3.0 B Too optimistic
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31 Econometric Estimates w Logarithmic (exponential trend) w lnUCBUDB = a + b*t +e(t) w simple exponential trend will over-estimate UC Budget by far
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34 Econometric Estimate w Dependence of UC Budget on CA Personal Income w UCBUDB(t) = a + b*CAPY(t) + e(t) w looks like a linear dependence on income will overestimate the UC Budget for 2004- 05
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36 Econometric Estimates w How about a log-log relationship w lnUCBUDB(t) = a + b*lnCAPY(t) + e(t) w Estimated elasticity 0.855 w autocorrelated residual w fitted lnUCBUDB(2004-05) = 1.22342 $3.40 B w actual (Governor’s Proposal) = 0.98228 $2.67B
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41 Econometric Estimates w Try a distributed lag Model of lnUCBUDB(t) on lnCAPY(t) clearly lnUCBUDB(t) is trended (evolutionary) so difference to get fractional changes in UC Budget likewise, need to difference the log of personal income
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42 Identify dlnucbudb
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45 Identify dlncapy
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48 Estimate ARONE Model for dlncapy
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49 This is a satisfactory model
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50 Estimate ARONE Model for dlncapy(t) w Orthogonalize dlncapy and save residual w need to do transform dlnucbudb w dlnucbudb(t) = h(Z)*dlncapy(y) + resid(t) w dlncapy(t) = 0.714*dlncapy(t-1) + N(t) w [1 - 0.714Z]*dlnucbudb(t) = h(Z)* [1 - 0.714Z]*dlncapy(t) + [1 - 0.714Z]*resid(t) w i.e. w(t) = h(Z)*N(t) + residw(t)
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51 Distributed Lag Model w Having saved resid as res[N(t)] from ARONE model for dlncapy w and having correspondingly transformed dlnucbud to w w cross-correlate w and res
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53 Distributed lag model w There is contemporary correlation and maybe something at lag one w specify dlnucbud(t) = h 0 *dlncapy(t) + h 1 *dlncapy(t-1) + resid(t)
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57 Try an ARONE residual fo dlnucbudb
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61 w Try a dummy for 1992-93, the last recession, this is the once and for all decline in UCBudget mentioned by Granfield w There is too much autocorrelation in the residual from the regression of lnucbud(t) = a + b*lncapy(t) + e(t) to see the problem w Look at the same regression in differences
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66 Distributed lag Model w dlnucbud(t) = h 0 *dlncapy(t) + h 1 *dlncapy(t-1) + dummy (1992-93) + resid(t) w
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69 Try an artwo residual instead of arone
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71 Note the fitted tends to be higher than the residual For the past three years suggesting UC is taking a bath
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73Correlogram of the residuals: try an ar(1) or an ma(1)
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76 Correlogram of the residuals
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77Fitted fractional change in UC Budget is –0.025 (-2.5%)versus Governor’s proposal of -0.086 (-8.6%)
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78 Conclusions w Governors proposed cut in UC Budget of 8.6% is greater than expected from various Box-Jenkins models, controlling for income w The UC Budget growth path ratcheted down in the recession beginning July 1990 w The UC Budget growth path looks like it is ratcheting down again in the recession beginning March 2001
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80 Try estimating the model in levels
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82 Correlogram of residuals: add an ARONE
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85 Correlogram of the residuals
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86 dlucbud c dlncapy(-1) dummy for 1992-93 dummy2 for 2003-04 ma(7)
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87 dlnucbud c dlncapy dummy for 1992-93 dummy2 for 2003-04
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