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1. What is public sector forecast 1. Users: Policy makers, planners, contractors, budget officials Level: Federal, State, Local Policy Type: Fiscal: Taxes (Income, Business, Consumption/Sales, Property…) Spending (Health, Education, Infrastructure, Debt…) Monetary: Inflation, Economic Growth 2. Type of Forecast Macroeconomic (National Economy, Local/Regional Economy, Price, Labor Market, Financial Market…) Micro-simulation (Income Distribution, Individual Consumption behavior, Demographics…) Impact Analysis (Policy Changes and Economic Impact) Specific Forecasts (Tax, Fee, Lottery, Health, Education, Tax Expenditures) 3. Techniques a. Time Series Model b. Structural Econometric Model c. Time Series Structural Model (VAR) d. Panel Data Model e. Micro Simulation Model 4. Forecast Risks Loss Function (what will happen when forecasts are wrong) Symmetrical vs. Asymmetric loss functions The key issue when evaluate forecasting errors 5. Differences between private and public forecasts From a technical point view (i.e., understanding data generating mechanism, fitting models, diagnostic checking ) forecasters are the same, but differences exist a. User/subjects b. Forecasting interval c. Loss Function d. Transparency 2. Importance of the government sector PowerPoint presentation 1. Government provides important services: Health Care, Social Security and Insurance, Education, Roads/Bridges, Public Safety, National Security/Defense… 2. Look at the size a. Government revenue and spending as share of GDP i. Increase over time ii. Cyclical patterns (why?) b. Revenue Level Trend up, declined only when there were law changes or economic downturn 3. Spending Level Going up, up, up… (A technical issue: neither mean nor variance is constant) 4. State and Local Government: Spending vs. Revenue Balanced in general 5. Federal Government Spending Forecast by CBO 6. Employment Share 3. Experts forecast vs. model-based forecast Define a forecast Suppose we have observed a macro data series over time (say government spending), and we can write is as xt where t 1, 2,...T , T denotes the current period (or the last observation). Say we have information set T , so we can write a forecast for xt as xT i | T i 1,2,...n Expert forecast: Experience-based. Given T to guess what to come: For example, during good times xt will grow by 1.5% while during downturns xt will decline by 1.0%. Advantage: Quick (rule of thumb), low cost Disadvantage: Limited, hard to evaluate (for example, what went wrong. animal spirit?) Model-based forecast: Advantages: Systematic, making forecasts evaluation easier, can deal with complex systems Example: Or xt 1 xt 1 2 y1t 3 y2t 3 y3t ... ut Federal Funds Rate ( r ) r 0.0632( r r ) 0.0313 ( - ) 0.122 r t 1 0.354 r t 2 0.129 r t 3 0.0152 r t -4 t t -1 t -1 (0.0425 ) (0.0692) (0.0849 ) (0.0849 ) 0.360 (0.0946 ) GDP Deflator ( ) (0.0856 ) (0.0805 ) 0.0839 t -1 0.199 t -2 0.110 t -3 0.0773 t -4 (0.0858 ) ( 0.0798 ) (0.0688 ) (0.0896 ) t -1 0.105 (0.139 ) 0.202 t -2 (0.136 ) t -3 0.0435 (0.0949 ) t -4 -0.0323 ( r r ) 0.0758 ( - ) 0.215 r t 1 0.00934 r t 2 0.0167 r t 3 0.0500 r t -4 t t -1 (0.0834) (0.0153) t -1 (0.102) 0.449 (0.108 ) 0.0859 (0.102) t -1 (0.114) 0.346 (0.103 ) 0.0145 t 1 (0.167 ) (0.103 ) t -2 0.256 t 2 (0.0970 ) (0.0963 ) t -3 0.0835 (0.163 ) 0.0509 (0.0830 ) 0.0229 t -3 (0.114 ) t 4 t 4 Percentage Output Gap ( ) 0.0485( - ) 0.109 t 1 (0.0572) t -1 (0.0703 ) = 0.0393 ( r r ) t (0.0352) 0.137 (0.0741) 1.153 (0.0782) r t 1 t 1 t 1 0.314 (0.0702) r t 2 0.0779 r t 3 0.0985 r t -4 0.120 (0.0710 ) 0.0244 (0.115 ) (0.0666 ) (0.0708 ) t 2 t 2 0.0444 (0.0660 ) 0.195 (0.112) t 3 t 3 0.00889 (0.0569 ) 0.00411 (0.0785 ) Note: The subscript ' ' is used to indicate the end-point condition. Disadvantages: Overhead costs: computer, programmers, training Limitations: the local vs. global trend issue t 4 t 4