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Search, Evaluate, and Read Evidence","\u002Fen\u002Facademic-writing\u002F02-reading-and-literature-matrix","en\u002Facademic-writing\u002F02-reading-and-literature-matrix",{"title":27,"path":28,"stem":29},"3. From Sources to Synthesis and Argument","\u002Fen\u002Facademic-writing\u002F03-arguments-outlines-and-paragraphs","en\u002Facademic-writing\u002F03-arguments-outlines-and-paragraphs",{"title":31,"path":32,"stem":33},"4. Literature Review and a Defensible Gap","\u002Fen\u002Facademic-writing\u002F04-writing-the-literature-review","en\u002Facademic-writing\u002F04-writing-the-literature-review",{"title":35,"path":36,"stem":37},"5. Research Design, Evidence, and Core Sections","\u002Fen\u002Facademic-writing\u002F05-core-sections-and-evidence","en\u002Facademic-writing\u002F05-core-sections-and-evidence",{"title":39,"path":40,"stem":41},"6. Citation, Paraphrasing, Integrity, and AI","\u002Fen\u002Facademic-writing\u002F06-citation-paraphrasing-and-integrity","en\u002Facademic-writing\u002F06-citation-paraphrasing-and-integrity",{"title":43,"path":44,"stem":45},"7. Revision, Review, and Submission","\u002Fen\u002Facademic-writing\u002F07-revision-style-and-submission","en\u002Facademic-writing\u002F07-revision-style-and-submission",{"title":47,"path":48,"stem":49},"8. Research Workbook","\u002Fen\u002Facademic-writing\u002F08-literature-review-checklist-and-template","en\u002Facademic-writing\u002F08-literature-review-checklist-and-template",{"title":51,"path":52,"stem":53},"9. Research Workflow and Tools","\u002Fen\u002Facademic-writing\u002F09-tools-for-academic-writing-and-literature-management","en\u002Facademic-writing\u002F09-tools-for-academic-writing-and-literature-management",{"title":55,"path":56,"stem":57},"10. Worked Project — From Question to Defensible Conclusion","\u002Fen\u002Facademic-writing\u002F10-worked-example-from-block-structure-to-question-chain","en\u002Facademic-writing\u002F10-worked-example-from-block-structure-to-question-chain",{"title":59,"path":60,"stem":61,"children":62,"page":249},"Accounting","\u002Fen\u002Faccounting","en\u002Faccounting",[63,69,87,93,193],{"title":64,"path":65,"stem":66,"children":67},"Accounting — From Evidence to Decisions","\u002Fen\u002Faccounting\u002F00-index","en\u002Faccounting\u002F00-index",[68],{"title":64,"path":65,"stem":66},{"title":70,"path":71,"stem":72,"children":73},"Accounting Appendix","\u002Fen\u002Faccounting\u002Fappendix","en\u002Faccounting\u002Fappendix\u002Findex",[74,75,79,83],{"title":70,"path":71,"stem":72},{"title":76,"path":77,"stem":78},"Worked Examples and Error Diagnosis","\u002Fen\u002Faccounting\u002Fappendix\u002F24-examples-pitfalls","en\u002Faccounting\u002Fappendix\u002F24-examples-pitfalls",{"title":80,"path":81,"stem":82},"Accounting Glossary","\u002Fen\u002Faccounting\u002Fappendix\u002F26-glossary","en\u002Faccounting\u002Fappendix\u002F26-glossary",{"title":84,"path":85,"stem":86},"Reading and Evidence Map","\u002Fen\u002Faccounting\u002Fappendix\u002F27-reading-map","en\u002Faccounting\u002Fappendix\u002F27-reading-map",{"title":88,"path":89,"stem":90,"children":91},"Northstar Record-to-Decision Capstone","\u002Fen\u002Faccounting\u002Fcapstone","en\u002Faccounting\u002Fcapstone\u002Findex",[92],{"title":88,"path":89,"stem":90},{"title":94,"path":95,"stem":96,"children":97},"Financial Accounting","\u002Fen\u002Faccounting\u002Ffinancial-accounting","en\u002Faccounting\u002Ffinancial-accounting\u002Findex",[98,99,117,131,165,179],{"title":94,"path":95,"stem":96},{"title":100,"path":101,"stem":102,"children":103},"1. Foundations","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002Findex",[104,105,109,113],{"title":100,"path":101,"stem":102},{"title":106,"path":107,"stem":108},"Objectives and Qualitative Characteristics","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F01-objectives-qualitative-characteristics","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F01-objectives-qualitative-characteristics",{"title":110,"path":111,"stem":112},"Equation and Elements","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F02-equation-elements","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F02-equation-elements",{"title":114,"path":115,"stem":116},"Accrual Basis, Estimates and Periods","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F03-accounting-bases-principles","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F03-accounting-bases-principles",{"title":118,"path":119,"stem":120,"children":121},"2. Recording Transactions","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions","en\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002Findex",[122,123,127],{"title":118,"path":119,"stem":120},{"title":124,"path":125,"stem":126},"Double-Entry and Debit\u002FCredit","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F04-double-entry-dr-cr","en\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F04-double-entry-dr-cr",{"title":128,"path":129,"stem":130},"Accounting Cycle","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F05-accounting-cycle","en\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F05-accounting-cycle",{"title":132,"path":133,"stem":134,"children":135},"3. Measurement and Adjustments","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002Findex",[136,137,141,145,149,153,157,161],{"title":132,"path":133,"stem":134},{"title":138,"path":139,"stem":140},"Revenue Recognition","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F07-revenue-recognition","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F07-revenue-recognition",{"title":142,"path":143,"stem":144},"Inventory","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F08-inventory","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F08-inventory",{"title":146,"path":147,"stem":148},"Receivables and Expected Credit Losses","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F09-receivables","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F09-receivables",{"title":150,"path":151,"stem":152},"Property, Plant and Equipment","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F10-ppe","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F10-ppe",{"title":154,"path":155,"stem":156},"Intangible Assets","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F11-intangibles","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F11-intangibles",{"title":158,"path":159,"stem":160},"Leases","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F12-leases","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F12-leases",{"title":162,"path":163,"stem":164},"Current and Deferred Income Tax","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F13-income-tax","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F13-income-tax",{"title":166,"path":167,"stem":168,"children":169},"4. Reporting and Cash","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash","en\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002Findex",[170,171,175],{"title":166,"path":167,"stem":168},{"title":172,"path":173,"stem":174},"Linked Financial Statements","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F06-financial-statements","en\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F06-financial-statements",{"title":176,"path":177,"stem":178},"Cash, Reconciliation and Internal Control","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F14-cash-control","en\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F14-cash-control",{"title":180,"path":181,"stem":182,"children":183},"5. Analysis and Comparison","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison","en\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002Findex",[184,185,189],{"title":180,"path":181,"stem":182},{"title":186,"path":187,"stem":188},"Ratio Analysis","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F15-ratio-analysis","en\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F15-ratio-analysis",{"title":190,"path":191,"stem":192},"IFRS versus US GAAP","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F25-ifrs-gaap","en\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F25-ifrs-gaap",{"title":194,"path":195,"stem":196,"children":197},"Management Accounting","\u002Fen\u002Faccounting\u002Fmanagement-accounting","en\u002Faccounting\u002Fmanagement-accounting\u002Findex",[198,199,217,235],{"title":194,"path":195,"stem":196},{"title":200,"path":201,"stem":202,"children":203},"1. Cost Foundations","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002Findex",[204,205,209,213],{"title":200,"path":201,"stem":202},{"title":206,"path":207,"stem":208},"Cost Concepts and Behaviour","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F16-cost-concepts","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F16-cost-concepts",{"title":210,"path":211,"stem":212},"Costing Systems","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F17-costing-systems","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F17-costing-systems",{"title":214,"path":215,"stem":216},"Variable and Absorption Costing","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F19-variable-vs-absorption","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F19-variable-vs-absorption",{"title":218,"path":219,"stem":220,"children":221},"2. Planning and Control","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002Findex",[222,223,227,231],{"title":218,"path":219,"stem":220},{"title":224,"path":225,"stem":226},"Cost–Volume–Profit Analysis","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F18-cvp-analysis","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F18-cvp-analysis",{"title":228,"path":229,"stem":230},"Budgeting and Variance Analysis","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F20-budgeting-variances","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F20-budgeting-variances",{"title":232,"path":233,"stem":234},"Performance Measurement","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F21-performance-measurement","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F21-performance-measurement",{"title":236,"path":237,"stem":238,"children":239},"3. Decisions and Investment","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment","en\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002Findex",[240,241,245],{"title":236,"path":237,"stem":238},{"title":242,"path":243,"stem":244},"Short-Term Decisions","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F22-short-term-decisions","en\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F22-short-term-decisions",{"title":246,"path":247,"stem":248},"Capital Budgeting","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F23-capital-budgeting","en\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F23-capital-budgeting",false,{"title":251,"path":252,"stem":253,"children":254,"page":249},"Business Analytics","\u002Fen\u002Fbusiness-analytics","en\u002Fbusiness-analytics",[255,261,279,305,335,365,383,400],{"title":256,"path":257,"stem":258,"children":259},"Business Analytics — From Data to Defensible Action","\u002Fen\u002Fbusiness-analytics\u002F00-index","en\u002Fbusiness-analytics\u002F00-index",[260],{"title":256,"path":257,"stem":258},{"title":262,"path":263,"stem":264,"children":265},"0. Decision and Data Foundations","\u002Fen\u002Fbusiness-analytics\u002F00-intro","en\u002Fbusiness-analytics\u002F00-intro\u002Findex",[266,267,271,275],{"title":262,"path":263,"stem":264},{"title":268,"path":269,"stem":270},"Decision Framing","\u002Fen\u002Fbusiness-analytics\u002F00-intro\u002F01-decision-framing","en\u002Fbusiness-analytics\u002F00-intro\u002F01-decision-framing",{"title":272,"path":273,"stem":274},"Data Contracts","\u002Fen\u002Fbusiness-analytics\u002F00-intro\u002F02-data-contracts","en\u002Fbusiness-analytics\u002F00-intro\u002F02-data-contracts",{"title":276,"path":277,"stem":278},"Reproducible Analytics Workflow","\u002Fen\u002Fbusiness-analytics\u002F00-intro\u002F03-reproducible-workflow","en\u002Fbusiness-analytics\u002F00-intro\u002F03-reproducible-workflow",{"title":280,"path":281,"stem":282,"children":283},"1. Descriptive Analytics","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive","en\u002Fbusiness-analytics\u002F01-descriptive\u002Findex",[284,285,289,293,297,301],{"title":280,"path":281,"stem":282},{"title":286,"path":287,"stem":288},"Distributions and Exploratory Data Analysis","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F04-distributions-eda","en\u002Fbusiness-analytics\u002F01-descriptive\u002F04-distributions-eda",{"title":290,"path":291,"stem":292},"KPIs and Denominators","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F05-kpis-denominators","en\u002Fbusiness-analytics\u002F01-descriptive\u002F05-kpis-denominators",{"title":294,"path":295,"stem":296},"Segments, Cohorts and Funnels","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F06-segmentation-cohorts-funnels","en\u002Fbusiness-analytics\u002F01-descriptive\u002F06-segmentation-cohorts-funnels",{"title":298,"path":299,"stem":300},"Visual Evidence and Data Stories","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F07-visualisation-story","en\u002Fbusiness-analytics\u002F01-descriptive\u002F07-visualisation-story",{"title":302,"path":303,"stem":304},"Experiments and Causal Boundaries","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F08-experiments-causal-boundary","en\u002Fbusiness-analytics\u002F01-descriptive\u002F08-experiments-causal-boundary",{"title":306,"path":307,"stem":308,"children":309},"2. Predictive Analytics","\u002Fen\u002Fbusiness-analytics\u002F02-predictive","en\u002Fbusiness-analytics\u002F02-predictive\u002Findex",[310,311,315,319,323,327,331],{"title":306,"path":307,"stem":308},{"title":312,"path":313,"stem":314},"Validation, Baselines and Leakage","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F09-validation-leakage","en\u002Fbusiness-analytics\u002F02-predictive\u002F09-validation-leakage",{"title":316,"path":317,"stem":318},"Regression and Forecasting","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F10-regression-forecasting","en\u002Fbusiness-analytics\u002F02-predictive\u002F10-regression-forecasting",{"title":320,"path":321,"stem":322},"Classification and Calibration","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F11-classification-calibration","en\u002Fbusiness-analytics\u002F02-predictive\u002F11-classification-calibration",{"title":324,"path":325,"stem":326},"Trees and Ensembles","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F12-trees-ensembles","en\u002Fbusiness-analytics\u002F02-predictive\u002F12-trees-ensembles",{"title":328,"path":329,"stem":330},"Decision Metrics and Thresholds","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F13-decision-metrics-thresholds","en\u002Fbusiness-analytics\u002F02-predictive\u002F13-decision-metrics-thresholds",{"title":332,"path":333,"stem":334},"Explainability, Monitoring and Drift","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F14-explainability-drift","en\u002Fbusiness-analytics\u002F02-predictive\u002F14-explainability-drift",{"title":336,"path":337,"stem":338,"children":339},"3. Prescriptive Analytics","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive","en\u002Fbusiness-analytics\u002F03-prescriptive\u002Findex",[340,341,345,349,353,357,361],{"title":336,"path":337,"stem":338},{"title":342,"path":343,"stem":344},"Decision-Making under Uncertainty","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F15-decision-uncertainty","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F15-decision-uncertainty",{"title":346,"path":347,"stem":348},"Linear Optimisation","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F16-linear-optimization","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F16-linear-optimization",{"title":350,"path":351,"stem":352},"Inventory and Allocation","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F17-inventory-allocation","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F17-inventory-allocation",{"title":354,"path":355,"stem":356},"Queueing and Simulation","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F18-queueing-simulation","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F18-queueing-simulation",{"title":358,"path":359,"stem":360},"Pricing and Revenue Management","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F19-pricing-experimentation","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F19-pricing-experimentation",{"title":362,"path":363,"stem":364},"Causal Targeting and Policy Learning","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F20-causal-targeting","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F20-causal-targeting",{"title":366,"path":367,"stem":368,"children":369},"4. Deployment and Governance","\u002Fen\u002Fbusiness-analytics\u002F04-deployment","en\u002Fbusiness-analytics\u002F04-deployment\u002Findex",[370,371,375,379],{"title":366,"path":367,"stem":368},{"title":372,"path":373,"stem":374},"Data Products and Monitoring","\u002Fen\u002Fbusiness-analytics\u002F04-deployment\u002F21-data-products-monitoring","en\u002Fbusiness-analytics\u002F04-deployment\u002F21-data-products-monitoring",{"title":376,"path":377,"stem":378},"Governance, Fairness and Privacy","\u002Fen\u002Fbusiness-analytics\u002F04-deployment\u002F22-governance-fairness-privacy","en\u002Fbusiness-analytics\u002F04-deployment\u002F22-governance-fairness-privacy",{"title":380,"path":381,"stem":382},"Adoption and Business Value","\u002Fen\u002Fbusiness-analytics\u002F04-deployment\u002F23-adoption-value","en\u002Fbusiness-analytics\u002F04-deployment\u002F23-adoption-value",{"title":384,"path":385,"stem":386,"children":387},"Appendix and Revision Tools","\u002Fen\u002Fbusiness-analytics\u002Fappendix","en\u002Fbusiness-analytics\u002Fappendix\u002Findex",[388,389,393,397],{"title":384,"path":385,"stem":386},{"title":390,"path":391,"stem":392},"Formula and Decision Map","\u002Fen\u002Fbusiness-analytics\u002Fappendix\u002F24-formula-map","en\u002Fbusiness-analytics\u002Fappendix\u002F24-formula-map",{"title":394,"path":395,"stem":396},"Worked Examples and Pitfalls","\u002Fen\u002Fbusiness-analytics\u002Fappendix\u002F25-worked-examples-pitfalls","en\u002Fbusiness-analytics\u002Fappendix\u002F25-worked-examples-pitfalls",{"title":84,"path":398,"stem":399},"\u002Fen\u002Fbusiness-analytics\u002Fappendix\u002F26-reading-map","en\u002Fbusiness-analytics\u002Fappendix\u002F26-reading-map",{"title":401,"path":402,"stem":403,"children":404},"Capstone — The Evening Delivery Promise","\u002Fen\u002Fbusiness-analytics\u002Fcapstone","en\u002Fbusiness-analytics\u002Fcapstone\u002Findex",[405],{"title":401,"path":402,"stem":403},{"title":407,"path":408,"stem":409,"children":410,"page":249},"Financial Economic Time Series","\u002Fen\u002Ffinancial-economic-time-series","en\u002Ffinancial-economic-time-series",[411,417,423,429,435,441,447,453,459,465,471],{"title":412,"path":413,"stem":414,"children":415},"Financial and Economic Time Series — Course Guide","\u002Fen\u002Ffinancial-economic-time-series\u002F00-intro","en\u002Ffinancial-economic-time-series\u002F00-intro\u002Findex",[416],{"title":412,"path":413,"stem":414},{"title":418,"path":419,"stem":420,"children":421},"Three Versions of Time Series","\u002Fen\u002Ffinancial-economic-time-series\u002F01-bridge","en\u002Ffinancial-economic-time-series\u002F01-bridge\u002Findex",[422],{"title":418,"path":419,"stem":420},{"title":424,"path":425,"stem":426,"children":427},"Data, Clocks, and Transformations","\u002Fen\u002Ffinancial-economic-time-series\u002F02-data-transformations","en\u002Ffinancial-economic-time-series\u002F02-data-transformations\u002Findex",[428],{"title":424,"path":425,"stem":426},{"title":430,"path":431,"stem":432,"children":433},"Predictive Regressions and Persistent Predictors","\u002Fen\u002Ffinancial-economic-time-series\u002F03-predictive-regressions","en\u002Ffinancial-economic-time-series\u002F03-predictive-regressions\u002Findex",[434],{"title":430,"path":431,"stem":432},{"title":436,"path":437,"stem":438,"children":439},"Volatility, Tails, and Financial Risk","\u002Fen\u002Ffinancial-economic-time-series\u002F04-volatility-risk","en\u002Ffinancial-economic-time-series\u002F04-volatility-risk\u002Findex",[440],{"title":436,"path":437,"stem":438},{"title":442,"path":443,"stem":444,"children":445},"Unit Roots, Cointegration, and Error Correction","\u002Fen\u002Ffinancial-economic-time-series\u002F05-unit-roots-cointegration","en\u002Ffinancial-economic-time-series\u002F05-unit-roots-cointegration\u002Findex",[446],{"title":442,"path":443,"stem":444},{"title":448,"path":449,"stem":450,"children":451},"VAR, Structural Identification, and Local Projections","\u002Fen\u002Ffinancial-economic-time-series\u002F06-var-identification","en\u002Ffinancial-economic-time-series\u002F06-var-identification\u002Findex",[452],{"title":448,"path":449,"stem":450},{"title":454,"path":455,"stem":456,"children":457},"State Space, Mixed Frequency, and Nowcasting","\u002Fen\u002Ffinancial-economic-time-series\u002F07-state-space-nowcasting","en\u002Ffinancial-economic-time-series\u002F07-state-space-nowcasting\u002Findex",[458],{"title":454,"path":455,"stem":456},{"title":460,"path":461,"stem":462,"children":463},"Forecast Evaluation for Decisions","\u002Fen\u002Ffinancial-economic-time-series\u002F08-forecast-evaluation","en\u002Ffinancial-economic-time-series\u002F08-forecast-evaluation\u002Findex",[464],{"title":460,"path":461,"stem":462},{"title":466,"path":467,"stem":468,"children":469},"Integrated R Laboratory","\u002Fen\u002Ffinancial-economic-time-series\u002F09-r-laboratory","en\u002Ffinancial-economic-time-series\u002F09-r-laboratory\u002Findex",[470],{"title":466,"path":467,"stem":468},{"title":472,"path":473,"stem":474,"children":475},"Capstones, Data, and Reading Ladder","\u002Fen\u002Ffinancial-economic-time-series\u002F10-capstone-readings","en\u002Ffinancial-economic-time-series\u002F10-capstone-readings\u002Findex",[476],{"title":472,"path":473,"stem":474},{"title":478,"path":479,"stem":480,"children":481,"page":249},"Intro To Economics","\u002Fen\u002Fintro-to-economics","en\u002Fintro-to-economics",[482,486,490,494,498,502,506,510,514,518,522,526,530],{"title":483,"path":484,"stem":485},"Introduction to Economics — Decisions, Markets, and the Macroeconomy","\u002Fen\u002Fintro-to-economics\u002F00-intro","en\u002Fintro-to-economics\u002F00-intro",{"title":487,"path":488,"stem":489},"Chapter 1 — Choice, Opportunity Cost, and Trade","\u002Fen\u002Fintro-to-economics\u002F01-foundations","en\u002Fintro-to-economics\u002F01-foundations",{"title":491,"path":492,"stem":493},"Chapter 2 — Demand, Supply, Equilibrium, and Welfare","\u002Fen\u002Fintro-to-economics\u002F02-demand-and-supply","en\u002Fintro-to-economics\u002F02-demand-and-supply",{"title":495,"path":496,"stem":497},"Chapter 3 — Elasticity, Revenue, and Tax Incidence","\u002Fen\u002Fintro-to-economics\u002F03-elasticity","en\u002Fintro-to-economics\u002F03-elasticity",{"title":499,"path":500,"stem":501},"Chapter 4 — Firms, Market Power, and Market Failure","\u002Fen\u002Fintro-to-economics\u002F04-market-structures","en\u002Fintro-to-economics\u002F04-market-structures",{"title":503,"path":504,"stem":505},"Chapter 5 — GDP, Income, Wealth, and Welfare","\u002Fen\u002Fintro-to-economics\u002F05-gdp-and-wealth","en\u002Fintro-to-economics\u002F05-gdp-and-wealth",{"title":507,"path":508,"stem":509},"Chapter 6 — Inflation, Purchasing Power, and Labour Markets","\u002Fen\u002Fintro-to-economics\u002F06-inflation-and-unemployment","en\u002Fintro-to-economics\u002F06-inflation-and-unemployment",{"title":511,"path":512,"stem":513},"Chapter 7 — Productivity, Technology, and Economic Growth","\u002Fen\u002Fintro-to-economics\u002F07-economic-growth","en\u002Fintro-to-economics\u002F07-economic-growth",{"title":515,"path":516,"stem":517},"Chapter 8 — Money, Credit, and Banking","\u002Fen\u002Fintro-to-economics\u002F08-money-and-banking","en\u002Fintro-to-economics\u002F08-money-and-banking",{"title":519,"path":520,"stem":521},"Chapter 9 — Business Cycles, AD–AS, and Monetary Policy","\u002Fen\u002Fintro-to-economics\u002F09-monetary-policy-and-ad-as","en\u002Fintro-to-economics\u002F09-monetary-policy-and-ad-as",{"title":523,"path":524,"stem":525},"Chapter 10 — Fiscal Policy, Distribution, and Public Debt","\u002Fen\u002Fintro-to-economics\u002F10-fiscal-policy","en\u002Fintro-to-economics\u002F10-fiscal-policy",{"title":527,"path":528,"stem":529},"Chapter 11 — Trade, Capital Flows, and Exchange Rates","\u002Fen\u002Fintro-to-economics\u002F11-open-economy-and-exchange-rates","en\u002Fintro-to-economics\u002F11-open-economy-and-exchange-rates",{"title":531,"path":532,"stem":533},"Chapter 12 — Integrated Economic Analysis Studio","\u002Fen\u002Fintro-to-economics\u002F12-review-and-case-studies","en\u002Fintro-to-economics\u002F12-review-and-case-studies",{"title":535,"path":536,"stem":537,"children":538,"page":249},"Microeconometrics","\u002Fen\u002Fmicroeconometrics","en\u002Fmicroeconometrics",[539,557,563,581,603,629,651,673,691,709],{"title":540,"path":541,"stem":542,"children":543},"0. Causal Questions and Designs","\u002Fen\u002Fmicroeconometrics\u002F00-foundations","en\u002Fmicroeconometrics\u002F00-foundations\u002Findex",[544,545,549,553],{"title":540,"path":541,"stem":542},{"title":546,"path":547,"stem":548},"Causal Questions and Estimands","\u002Fen\u002Fmicroeconometrics\u002F00-foundations\u002F01-causal-question-estimands","en\u002Fmicroeconometrics\u002F00-foundations\u002F01-causal-question-estimands",{"title":550,"path":551,"stem":552},"Potential Outcomes and Experiments","\u002Fen\u002Fmicroeconometrics\u002F00-foundations\u002F02-potential-outcomes-experiments","en\u002Fmicroeconometrics\u002F00-foundations\u002F02-potential-outcomes-experiments",{"title":554,"path":555,"stem":556},"Causal Diagrams and Controls","\u002Fen\u002Fmicroeconometrics\u002F00-foundations\u002F03-dags-controls","en\u002Fmicroeconometrics\u002F00-foundations\u002F03-dags-controls",{"title":558,"path":559,"stem":560,"children":561},"Microeconometrics — Designing Credible Counterfactuals","\u002Fen\u002Fmicroeconometrics\u002F00-index","en\u002Fmicroeconometrics\u002F00-index",[562],{"title":558,"path":559,"stem":560},{"title":564,"path":565,"stem":566,"children":567},"1. Regression and Inference","\u002Fen\u002Fmicroeconometrics\u002F01-regression","en\u002Fmicroeconometrics\u002F01-regression\u002Findex",[568,569,573,577],{"title":564,"path":565,"stem":566},{"title":570,"path":571,"stem":572},"OLS as a Projection","\u002Fen\u002Fmicroeconometrics\u002F01-regression\u002F04-ols-projection","en\u002Fmicroeconometrics\u002F01-regression\u002F04-ols-projection",{"title":574,"path":575,"stem":576},"FWL, Selection and Controls","\u002Fen\u002Fmicroeconometrics\u002F01-regression\u002F05-fwl-selection-controls","en\u002Fmicroeconometrics\u002F01-regression\u002F05-fwl-selection-controls",{"title":578,"path":579,"stem":580},"Inference and Clustering","\u002Fen\u002Fmicroeconometrics\u002F01-regression\u002F06-inference-clustering","en\u002Fmicroeconometrics\u002F01-regression\u002F06-inference-clustering",{"title":582,"path":583,"stem":584,"children":585},"2. Instruments and Panel Data","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel","en\u002Fmicroeconometrics\u002F02-iv-panel\u002Findex",[586,587,591,595,599],{"title":582,"path":583,"stem":584},{"title":588,"path":589,"stem":590},"Instrumental Variables","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F07-iv-identification","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F07-iv-identification",{"title":592,"path":593,"stem":594},"Weak Instruments and LATE","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F08-weak-iv-late","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F08-weak-iv-late",{"title":596,"path":597,"stem":598},"Panel Fixed Effects","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F09-panel-fixed-effects","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F09-panel-fixed-effects",{"title":600,"path":601,"stem":602},"Dynamic Panels and Limits","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F10-dynamic-panel","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F10-dynamic-panel",{"title":604,"path":605,"stem":606,"children":607},"3. Policy Evaluation Designs","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs","en\u002Fmicroeconometrics\u002F03-policy-designs\u002Findex",[608,609,613,617,621,625],{"title":604,"path":605,"stem":606},{"title":610,"path":611,"stem":612},"Difference-in-Differences","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F11-did-core","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F11-did-core",{"title":614,"path":615,"stem":616},"Staggered DID and Event Studies","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F12-staggered-event-studies","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F12-staggered-event-studies",{"title":618,"path":619,"stem":620},"Regression Discontinuity","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F13-rdd","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F13-rdd",{"title":622,"path":623,"stem":624},"Matching, Weighting and Overlap","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F14-matching-weighting","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F14-matching-weighting",{"title":626,"path":627,"stem":628},"Synthetic Control","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F15-synthetic-control","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F15-synthetic-control",{"title":630,"path":631,"stem":632,"children":633},"Module 4 — Choice and Limited Outcomes","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002Findex",[634,635,639,643,647],{"title":630,"path":631,"stem":632},{"title":636,"path":637,"stem":638},"Binary Choice","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F16-binary-choice","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F16-binary-choice",{"title":640,"path":641,"stem":642},"Multinomial and Ordered Choice","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F17-multinomial-choice","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F17-multinomial-choice",{"title":644,"path":645,"stem":646},"Count Outcomes","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F18-count-outcomes","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F18-count-outcomes",{"title":648,"path":649,"stem":650},"Censoring, Truncation and Selection","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F19-censoring-selection","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F19-censoring-selection",{"title":652,"path":653,"stem":654,"children":655},"Module 5 — Modern Causal Analysis","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal","en\u002Fmicroeconometrics\u002F05-modern-causal\u002Findex",[656,657,661,665,669],{"title":652,"path":653,"stem":654},{"title":658,"path":659,"stem":660},"Double Machine Learning","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F20-dml","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F20-dml",{"title":662,"path":663,"stem":664},"Heterogeneity and Policy Learning","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F21-heterogeneity-policy","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F21-heterogeneity-policy",{"title":666,"path":667,"stem":668},"Sensitivity and Partial Identification","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F22-sensitivity-partial-id","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F22-sensitivity-partial-id",{"title":670,"path":671,"stem":672},"External Validity and Transport","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F23-external-validity","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F23-external-validity",{"title":674,"path":675,"stem":676,"children":677},"Module 6 — From Data to Auditable Evidence","\u002Fen\u002Fmicroeconometrics\u002F06-workflow","en\u002Fmicroeconometrics\u002F06-workflow\u002Findex",[678,679,683,687],{"title":674,"path":675,"stem":676},{"title":680,"path":681,"stem":682},"Data Provenance","\u002Fen\u002Fmicroeconometrics\u002F06-workflow\u002F24-data-provenance","en\u002Fmicroeconometrics\u002F06-workflow\u002F24-data-provenance",{"title":684,"path":685,"stem":686},"Reproducibility and Reporting","\u002Fen\u002Fmicroeconometrics\u002F06-workflow\u002F25-reproducibility-reporting","en\u002Fmicroeconometrics\u002F06-workflow\u002F25-reproducibility-reporting",{"title":688,"path":689,"stem":690},"Paper and Evidence Audit","\u002Fen\u002Fmicroeconometrics\u002F06-workflow\u002F26-paper-audit","en\u002Fmicroeconometrics\u002F06-workflow\u002F26-paper-audit",{"title":692,"path":693,"stem":694,"children":695},"Appendix — Revision and Evidence Map","\u002Fen\u002Fmicroeconometrics\u002Fappendix","en\u002Fmicroeconometrics\u002Fappendix\u002Findex",[696,697,701,705],{"title":692,"path":693,"stem":694},{"title":698,"path":699,"stem":700},"Formula and Design Map","\u002Fen\u002Fmicroeconometrics\u002Fappendix\u002F27-formula-design-map","en\u002Fmicroeconometrics\u002Fappendix\u002F27-formula-design-map",{"title":702,"path":703,"stem":704},"Ten Worked Microeconometric Pitfalls","\u002Fen\u002Fmicroeconometrics\u002Fappendix\u002F28-worked-pitfalls","en\u002Fmicroeconometrics\u002Fappendix\u002F28-worked-pitfalls",{"title":706,"path":707,"stem":708},"Reading and Software Map","\u002Fen\u002Fmicroeconometrics\u002Fappendix\u002F29-reading-software-map","en\u002Fmicroeconometrics\u002Fappendix\u002F29-reading-software-map",{"title":710,"path":711,"stem":712,"children":713},"Capstone — Should Northbridge Expand Pathways?","\u002Fen\u002Fmicroeconometrics\u002Fcapstone","en\u002Fmicroeconometrics\u002Fcapstone\u002Findex",[714],{"title":710,"path":711,"stem":712},{"title":716,"path":717,"stem":718,"children":719,"page":249},"Microeconomics","\u002Fen\u002Fmicroeconomics","en\u002Fmicroeconomics",[720,726,732,738,744,750,756,762,768,774,780,786,792],{"title":721,"path":722,"stem":723,"children":724},"Advanced Microeconomics — Course Guide","\u002Fen\u002Fmicroeconomics\u002F00-intro","en\u002Fmicroeconomics\u002F00-intro\u002Findex",[725],{"title":721,"path":722,"stem":723},{"title":727,"path":728,"stem":729,"children":730},"Module 1 — Choice, Duality, and Revealed Preference","\u002Fen\u002Fmicroeconomics\u002F01-fundations","en\u002Fmicroeconomics\u002F01-fundations\u002Findex",[731],{"title":727,"path":728,"stem":729},{"title":733,"path":734,"stem":735,"children":736},"Module 2 — Comparative Statics and Welfare Measurement","\u002Fen\u002Fmicroeconomics\u002F02-comparative-statics","en\u002Fmicroeconomics\u002F02-comparative-statics\u002Findex",[737],{"title":733,"path":734,"stem":735},{"title":739,"path":740,"stem":741,"children":742},"Module 3 — Choice under Risk and Insurance","\u002Fen\u002Fmicroeconomics\u002F03-uncertainty","en\u002Fmicroeconomics\u002F03-uncertainty\u002Findex",[743],{"title":739,"path":740,"stem":741},{"title":745,"path":746,"stem":747,"children":748},"Module 4 — General Equilibrium and Welfare","\u002Fen\u002Fmicroeconomics\u002F04-general-equilibrium","en\u002Fmicroeconomics\u002F04-general-equilibrium\u002Findex",[749],{"title":745,"path":746,"stem":747},{"title":751,"path":752,"stem":753,"children":754},"Module 5 — Static, Dynamic, and Repeated Games","\u002Fen\u002Fmicroeconomics\u002F05-game-theory","en\u002Fmicroeconomics\u002F05-game-theory\u002Findex",[755],{"title":751,"path":752,"stem":753},{"title":757,"path":758,"stem":759,"children":760},"Module 6 — Oligopoly, Entry, and Algorithmic Pricing","\u002Fen\u002Fmicroeconomics\u002F06-oligopoly","en\u002Fmicroeconomics\u002F06-oligopoly\u002Findex",[761],{"title":757,"path":758,"stem":759},{"title":763,"path":764,"stem":765,"children":766},"Module 7 — Information Economics and Contracts","\u002Fen\u002Fmicroeconomics\u002F07-information-economics","en\u002Fmicroeconomics\u002F07-information-economics\u002Findex",[767],{"title":763,"path":764,"stem":765},{"title":769,"path":770,"stem":771,"children":772},"Module 8 — Mechanism Design and Auctions","\u002Fen\u002Fmicroeconomics\u002F08-mechanism-design","en\u002Fmicroeconomics\u002F08-mechanism-design\u002Findex",[773],{"title":769,"path":770,"stem":771},{"title":775,"path":776,"stem":777,"children":778},"Module 9 — Behavioural and Experimental Microeconomics","\u002Fen\u002Fmicroeconomics\u002F09-behavioural-economics","en\u002Fmicroeconomics\u002F09-behavioural-economics\u002Findex",[779],{"title":775,"path":776,"stem":777},{"title":781,"path":782,"stem":783,"children":784},"Module 10 — Externalities, Public Goods, and Collective Action","\u002Fen\u002Fmicroeconomics\u002F10-externalities-public-goods","en\u002Fmicroeconomics\u002F10-externalities-public-goods\u002Findex",[785],{"title":781,"path":782,"stem":783},{"title":787,"path":788,"stem":789,"children":790},"Module 11 — Matching and Market Design","\u002Fen\u002Fmicroeconomics\u002F11-market-design","en\u002Fmicroeconomics\u002F11-market-design\u002Findex",[791],{"title":787,"path":788,"stem":789},{"title":793,"path":794,"stem":795,"children":796},"Module 12 — Integrated Microeconomic Design Studio","\u002Fen\u002Fmicroeconomics\u002F12-review","en\u002Fmicroeconomics\u002F12-review\u002Findex",[797],{"title":793,"path":794,"stem":795},{"title":799,"path":800,"stem":801,"children":802},"Playground","\u002Fen\u002Fplayground","en\u002Fplayground\u002Findex",[803,804,808,812,816,820],{"title":799,"path":800,"stem":801},{"title":805,"path":806,"stem":807},"Typst Plugin Playground","\u002Fen\u002Fplayground\u002F01-typstex","en\u002Fplayground\u002F01-typstex",{"title":809,"path":810,"stem":811},"Citation Plugin Test","\u002Fen\u002Fplayground\u002F02-citation","en\u002Fplayground\u002F02-citation",{"title":813,"path":814,"stem":815},"Pyodide Playground","\u002Fen\u002Fplayground\u002F03-pyodide","en\u002Fplayground\u002F03-pyodide",{"title":817,"path":818,"stem":819},"WebR Playground","\u002Fen\u002Fplayground\u002F04-webr","en\u002Fplayground\u002F04-webr",{"title":821,"path":822,"stem":823},"Chart.js 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文献综述的构建与写作","\u002Fzh\u002Facademic-writing\u002F04-writing-the-literature-review","zh\u002Facademic-writing\u002F04-writing-the-literature-review",{"title":1056,"path":1057,"stem":1058},"8. 文献综述清单与模板","\u002Fzh\u002Facademic-writing\u002F08-literature-review-checklist-and-template","zh\u002Facademic-writing\u002F08-literature-review-checklist-and-template",{"title":1060,"path":1061,"stem":1062},"10. 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策略全流程","\u002Fzh\u002Fquant\u002F09-case-study","zh\u002Fquant\u002F09-case-study",{"title":1779,"path":1780,"stem":1781},"量化投资文献与软件图谱","\u002Fzh\u002Fquant\u002F10-reading-software-map","zh\u002Fquant\u002F10-reading-software-map",{"path":1411},{"id":1784,"title":523,"body":1785,"description":3501,"extension":3502,"features":3503,"hero":3503,"layout":3503,"locale":3503,"meta":3504,"navigation":3503,"path":524,"published":3505,"seo":3506,"stem":525,"__hash__":3507},"docs\u002Fen\u002Fintro-to-economics\u002F10-fiscal-policy.md",{"type":1786,"value":1787,"toc":3482},"minimark",[1788,1792,1797,1801,1805,1808,1824,1828,1915,1927,2080,2087,2092,2096,2100,2106,2271,2274,2278,2293,2540,2555,2789,2792,2799,2804,2818,2822,2829,2832,2853,2856,2860,2863,2953,2964,2967,2971,2989,3175,3179,3192,3362,3369,3377,3382,3386,3389,3427,3431,3434,3451,3455,3472],[1789,1790,523],"h1",{"id":1791},"chapter-10-fiscal-policy-distribution-and-public-debt",[1793,1794,1796],"h2",{"id":1795},"core-question","Core question",[1798,1799,1800],"p",{},"How can a government stabilise demand and protect households without wasting resources, weakening useful price signals, or placing debt on an unsustainable path?",[1793,1802,1804],{"id":1803},"learning-outcomes","Learning outcomes",[1798,1806,1807],{},"You will be able to:",[1809,1810,1811,1815,1818,1821],"ul",{},[1812,1813,1814],"li",{},"separate purchases, transfers, taxes, deficits, and debt;",[1812,1816,1817],{},"explain why fiscal multipliers vary across policies and economic conditions;",[1812,1819,1820],{},"calculate a simple debt-to-GDP path;",[1812,1822,1823],{},"evaluate a package by timing, targeting, incentives, distribution, and fiscal risk.",[1793,1825,1827],{"id":1826},"_1-read-the-budget-before-judging-it","1. Read the budget before judging it",[1829,1830,1831,1847],"table",{},[1832,1833,1834],"thead",{},[1835,1836,1837,1841,1844],"tr",{},[1838,1839,1840],"th",{},"Item",[1838,1842,1843],{},"Immediate accounting role",[1838,1845,1846],{},"Main economic channel",[1848,1849,1850,1867,1880,1891,1902],"tbody",{},[1835,1851,1852,1856,1864],{},[1853,1854,1855],"td",{},"government purchase",[1853,1857,1858,1859,1863],{},"enters ",[1860,1861,1862],"code",{},"G"," in GDP",[1853,1865,1866],{},"direct demand for current output",[1835,1868,1869,1872,1877],{},[1853,1870,1871],{},"transfer",[1853,1873,1874,1875],{},"does not itself enter ",[1860,1876,1862],{},[1853,1878,1879],{},"changes recipients' disposable income",[1835,1881,1882,1885,1888],{},[1853,1883,1884],{},"tax",[1853,1886,1887],{},"finances government; not a purchase",[1853,1889,1890],{},"changes disposable income and incentives",[1835,1892,1893,1896,1899],{},[1853,1894,1895],{},"interest payment",[1853,1897,1898],{},"cost of past borrowing",[1853,1900,1901],{},"transfers income to bondholders",[1835,1903,1904,1907,1912],{},[1853,1905,1906],{},"public investment",[1853,1908,1858,1909,1911],{},[1860,1910,1862],{}," when produced",[1853,1913,1914],{},"demand now; capacity later if productive",[1798,1916,1917,1918,1922,1923,1926],{},"A yearly ",[1919,1920,1921],"strong",{},"deficit"," is a flow. ",[1919,1924,1925],{},"Debt"," is a stock inherited from past borrowing and other adjustments.",[1928,1929,1932],"span",{"className":1930},[1931],"katex-display",[1928,1933,1936,1984],{"className":1934},[1935],"katex",[1928,1937,1940],{"className":1938},[1939],"katex-mathml",[1941,1942,1945],"math",{"xmlns":1943,"display":1944},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML","block",[1946,1947,1948,1979],"semantics",{},[1949,1950,1951,1955,1959,1962,1965,1968,1971,1974],"mrow",{},[1952,1953,1954],"mtext",{},"overall deficit",[1956,1957,1958],"mo",{},"=",[1952,1960,1961],{},"primary spending",[1956,1963,1964],{},"+",[1952,1966,1967],{},"interest",[1956,1969,1970],{},"−",[1952,1972,1973],{},"revenue",[1975,1976,1978],"mi",{"mathvariant":1977},"normal",".",[1980,1981,1983],"annotation",{"encoding":1982},"application\u002Fx-tex","\\text{overall deficit}=\\text{primary spending}+\\text{interest}-\\text{revenue}.",[1928,1985,1989,2018,2042,2064],{"className":1986,"ariaHidden":1988},[1987],"katex-html","true",[1928,1990,1993,1998,2006,2011,2015],{"className":1991},[1992],"base",[1928,1994],{"className":1995,"style":1997},[1996],"strut","height:0.6944em;",[1928,1999,2003],{"className":2000},[2001,2002],"mord","text",[1928,2004,1954],{"className":2005},[2001],[1928,2007],{"className":2008,"style":2010},[2009],"mspace","margin-right:0.2778em;",[1928,2012,1958],{"className":2013},[2014],"mrel",[1928,2016],{"className":2017,"style":2010},[2009],[1928,2019,2021,2025,2031,2035,2039],{"className":2020},[1992],[1928,2022],{"className":2023,"style":2024},[1996],"height:0.8889em;vertical-align:-0.1944em;",[1928,2026,2028],{"className":2027},[2001,2002],[1928,2029,1961],{"className":2030},[2001],[1928,2032],{"className":2033,"style":2034},[2009],"margin-right:0.2222em;",[1928,2036,1964],{"className":2037},[2038],"mbin",[1928,2040],{"className":2041,"style":2034},[2009],[1928,2043,2045,2049,2055,2058,2061],{"className":2044},[1992],[1928,2046],{"className":2047,"style":2048},[1996],"height:0.7512em;vertical-align:-0.0833em;",[1928,2050,2052],{"className":2051},[2001,2002],[1928,2053,1967],{"className":2054},[2001],[1928,2056],{"className":2057,"style":2034},[2009],[1928,2059,1970],{"className":2060},[2038],[1928,2062],{"className":2063,"style":2034},[2009],[1928,2065,2067,2071,2077],{"className":2066},[1992],[1928,2068],{"className":2069,"style":2070},[1996],"height:0.4306em;",[1928,2072,2074],{"className":2073},[2001,2002],[1928,2075,1973],{"className":2076},[2001],[1928,2078,1978],{"className":2079},[2001],[1798,2081,2082,2083,2086],{},"The ",[1919,2084,2085],{},"primary balance"," excludes interest, so it shows the current budget choice before the cost of inherited debt.",[2088,2089,2091],"warning",{"title":2090},"Accounting is not evaluation","A transfer does not enter GDP directly, but may raise consumption. A tax cut may raise demand, but less than its face value if recipients save it. Always trace behaviour after recording the budget entry.",[1793,2093,2095],{"id":2094},"_2-from-a-budget-measure-to-output","2. From a budget measure to output",[2097,2098],"mermaid-diagram",{"code64":2099,"locale":7},"Zmxvd2NoYXJ0IExSCiAgQnVkZ2V0W1B1cmNoYXNlLCB0YXgsIG9yIHRyYW5zZmVyXSAtLT4gSW5jb21lW0luY29tZSBhbmQgY2FzaCBmbG93XQogIEluY29tZSAtLT4gU3BlbmRbQ29uc3VtcHRpb24gYW5kIGludmVzdG1lbnRdCiAgU3BlbmQgLS0+IERlbWFuZFtBZ2dyZWdhdGUgZGVtYW5kXQogIERlbWFuZCAtLT4gT3V0cHV0W091dHB1dCwgam9icywgYW5kIHByaWNlc10KICBPdXRwdXQgLS0+IFJldmVudWVbVGF4IHJldmVudWUgYW5kIGJlbmVmaXRzXQogIFJldmVudWUgLS0+IEJ1ZGdldA==",[1798,2101,2082,2102,2105],{},[1919,2103,2104],{},"fiscal multiplier"," is an outcome, not a universal constant:",[1928,2107,2109],{"className":2108},[1931],[1928,2110,2112,2149],{"className":2111},[1935],[1928,2113,2115],{"className":2114},[1939],[1941,2116,2117],{"xmlns":1943,"display":1944},[1946,2118,2119,2146],{},[1949,2120,2121,2124,2126,2144],{},[1975,2122,2123],{},"k",[1956,2125,1958],{},[2127,2128,2129,2137],"mfrac",{},[1949,2130,2131,2134],{},[1975,2132,2133],{"mathvariant":1977},"Δ",[1975,2135,2136],{},"Y",[1949,2138,2139,2141],{},[1975,2140,2133],{"mathvariant":1977},[1952,2142,2143],{},"fiscal impulse",[1975,2145,1978],{"mathvariant":1977},[1980,2147,2148],{"encoding":1982},"k=\\frac{\\Delta Y}{\\Delta \\text{fiscal impulse}}.",[1928,2150,2152,2172],{"className":2151,"ariaHidden":1988},[1987],[1928,2153,2155,2158,2163,2166,2169],{"className":2154},[1992],[1928,2156],{"className":2157,"style":1997},[1996],[1928,2159,2123],{"className":2160,"style":2162},[2001,2161],"mathnormal","margin-right:0.0315em;",[1928,2164],{"className":2165,"style":2010},[2009],[1928,2167,1958],{"className":2168},[2014],[1928,2170],{"className":2171,"style":2010},[2009],[1928,2173,2175,2179,2268],{"className":2174},[1992],[1928,2176],{"className":2177,"style":2178},[1996],"height:2.2408em;vertical-align:-0.8804em;",[1928,2180,2182,2187,2264],{"className":2181},[2001],[1928,2183],{"className":2184},[2185,2186],"mopen","nulldelimiter",[1928,2188,2190],{"className":2189},[2127],[1928,2191,2195,2255],{"className":2192},[2193,2194],"vlist-t","vlist-t2",[1928,2196,2199,2250],{"className":2197},[2198],"vlist-r",[1928,2200,2204,2224,2235],{"className":2201,"style":2203},[2202],"vlist","height:1.3603em;",[1928,2205,2207,2212],{"style":2206},"top:-2.314em;",[1928,2208],{"className":2209,"style":2211},[2210],"pstrut","height:3em;",[1928,2213,2215,2218],{"className":2214},[2001],[1928,2216,2133],{"className":2217},[2001],[1928,2219,2221],{"className":2220},[2001,2002],[1928,2222,2143],{"className":2223},[2001],[1928,2225,2227,2230],{"style":2226},"top:-3.23em;",[1928,2228],{"className":2229,"style":2211},[2210],[1928,2231],{"className":2232,"style":2234},[2233],"frac-line","border-bottom-width:0.04em;",[1928,2236,2238,2241],{"style":2237},"top:-3.677em;",[1928,2239],{"className":2240,"style":2211},[2210],[1928,2242,2244,2247],{"className":2243},[2001],[1928,2245,2133],{"className":2246},[2001],[1928,2248,2136],{"className":2249,"style":2034},[2001,2161],[1928,2251,2254],{"className":2252},[2253],"vlist-s","​",[1928,2256,2258],{"className":2257},[2198],[1928,2259,2262],{"className":2260,"style":2261},[2202],"height:0.8804em;",[1928,2263],{},[1928,2265],{"className":2266},[2267,2186],"mclose",[1928,2269,1978],{"className":2270},[2001],[1798,2272,2273],{},"It tends to be larger when resources are idle, recipients have high propensities to spend, imports leak out slowly, credit is constrained, and monetary policy does not offset the expansion. It tends to be smaller near capacity or when households save, imports rise, implementation is delayed, or interest rates respond strongly.",[1793,2275,2277],{"id":2276},"_3-worked-model-where-the-multiplier-comes-from","3. Worked model: where the multiplier comes from",[1798,2279,2280,2281,2284,2285,2288,2289,2292],{},"In a deliberately simple economy, households consume fraction ",[1860,2282,2283],{},"c"," of disposable income, the proportional tax rate is ",[1860,2286,2287],{},"t",", and fraction ",[1860,2290,2291],{},"m"," of each extra unit of income is spent on imports:",[1928,2294,2296],{"className":2295},[1931],[1928,2297,2299,2353],{"className":2298},[1935],[1928,2300,2302],{"className":2301},[1939],[1941,2303,2304],{"xmlns":1943,"display":1944},[1946,2305,2306,2350],{},[1949,2307,2308,2315,2317,2348],{},[2309,2310,2311,2313],"msub",{},[1975,2312,2123],{},[1975,2314,1862],{},[1956,2316,1958],{},[2127,2318,2319,2323],{},[2320,2321,2322],"mn",{},"1",[1949,2324,2325,2327,2329,2331,2335,2337,2339,2341,2344,2346],{},[2320,2326,2322],{},[1956,2328,1970],{},[1975,2330,2283],{},[1956,2332,2334],{"stretchy":2333},"false","(",[2320,2336,2322],{},[1956,2338,1970],{},[1975,2340,2287],{},[1956,2342,2343],{"stretchy":2333},")",[1956,2345,1964],{},[1975,2347,2291],{},[1975,2349,1978],{"mathvariant":1977},[1980,2351,2352],{"encoding":1982},"k_G=\\frac{1}{1-c(1-t)+m}.",[1928,2354,2356,2421],{"className":2355,"ariaHidden":1988},[1987],[1928,2357,2359,2363,2412,2415,2418],{"className":2358},[1992],[1928,2360],{"className":2361,"style":2362},[1996],"height:0.8444em;vertical-align:-0.15em;",[1928,2364,2366,2369],{"className":2365},[2001],[1928,2367,2123],{"className":2368,"style":2162},[2001,2161],[1928,2370,2373],{"className":2371},[2372],"msupsub",[1928,2374,2376,2403],{"className":2375},[2193,2194],[1928,2377,2379,2400],{"className":2378},[2198],[1928,2380,2383],{"className":2381,"style":2382},[2202],"height:0.3283em;",[1928,2384,2386,2390],{"style":2385},"top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;",[1928,2387],{"className":2388,"style":2389},[2210],"height:2.7em;",[1928,2391,2397],{"className":2392},[2393,2394,2395,2396],"sizing","reset-size6","size3","mtight",[1928,2398,1862],{"className":2399},[2001,2161,2396],[1928,2401,2254],{"className":2402},[2253],[1928,2404,2406],{"className":2405},[2198],[1928,2407,2410],{"className":2408,"style":2409},[2202],"height:0.15em;",[1928,2411],{},[1928,2413],{"className":2414,"style":2010},[2009],[1928,2416,1958],{"className":2417},[2014],[1928,2419],{"className":2420,"style":2010},[2009],[1928,2422,2424,2428,2537],{"className":2423},[1992],[1928,2425],{"className":2426,"style":2427},[1996],"height:2.2574em;vertical-align:-0.936em;",[1928,2429,2431,2434,2534],{"className":2430},[2001],[1928,2432],{"className":2433},[2185,2186],[1928,2435,2437],{"className":2436},[2127],[1928,2438,2440,2525],{"className":2439},[2193,2194],[1928,2441,2443,2522],{"className":2442},[2198],[1928,2444,2447,2503,2511],{"className":2445,"style":2446},[2202],"height:1.3214em;",[1928,2448,2449,2452],{"style":2206},[1928,2450],{"className":2451,"style":2211},[2210],[1928,2453,2455,2458,2461,2464,2467,2470,2473,2476,2479,2482,2485,2488,2491,2494,2497,2500],{"className":2454},[2001],[1928,2456,2322],{"className":2457},[2001],[1928,2459],{"className":2460,"style":2034},[2009],[1928,2462,1970],{"className":2463},[2038],[1928,2465],{"className":2466,"style":2034},[2009],[1928,2468,2283],{"className":2469},[2001,2161],[1928,2471,2334],{"className":2472},[2185],[1928,2474,2322],{"className":2475},[2001],[1928,2477],{"className":2478,"style":2034},[2009],[1928,2480,1970],{"className":2481},[2038],[1928,2483],{"className":2484,"style":2034},[2009],[1928,2486,2287],{"className":2487},[2001,2161],[1928,2489,2343],{"className":2490},[2267],[1928,2492],{"className":2493,"style":2034},[2009],[1928,2495,1964],{"className":2496},[2038],[1928,2498],{"className":2499,"style":2034},[2009],[1928,2501,2291],{"className":2502},[2001,2161],[1928,2504,2505,2508],{"style":2226},[1928,2506],{"className":2507,"style":2211},[2210],[1928,2509],{"className":2510,"style":2234},[2233],[1928,2512,2513,2516],{"style":2237},[1928,2514],{"className":2515,"style":2211},[2210],[1928,2517,2519],{"className":2518},[2001],[1928,2520,2322],{"className":2521},[2001],[1928,2523,2254],{"className":2524},[2253],[1928,2526,2528],{"className":2527},[2198],[1928,2529,2532],{"className":2530,"style":2531},[2202],"height:0.936em;",[1928,2533],{},[1928,2535],{"className":2536},[2267,2186],[1928,2538,1978],{"className":2539},[2001],[1798,2541,2542,2543,2546,2547,2550,2551,2554],{},"Let ",[1860,2544,2545],{},"c = 0.75",", ",[1860,2548,2549],{},"t = 0.20",", and ",[1860,2552,2553],{},"m = 0.10",":",[1928,2556,2558],{"className":2557},[1931],[1928,2559,2561,2611],{"className":2560},[1935],[1928,2562,2564],{"className":2563},[1939],[1941,2565,2566],{"xmlns":1943,"display":1944},[1946,2567,2568,2608],{},[1949,2569,2570,2576,2578,2603,2605],{},[2309,2571,2572,2574],{},[1975,2573,2123],{},[1975,2575,1862],{},[1956,2577,1958],{},[2127,2579,2580,2582],{},[2320,2581,2322],{},[1949,2583,2584,2586,2588,2591,2593,2596,2598,2600],{},[2320,2585,2322],{},[1956,2587,1970],{},[2320,2589,2590],{},"0.75",[1956,2592,2334],{"stretchy":2333},[2320,2594,2595],{},"0.8",[1956,2597,2343],{"stretchy":2333},[1956,2599,1964],{},[2320,2601,2602],{},"0.1",[1956,2604,1958],{},[2320,2606,2607],{},"2.",[1980,2609,2610],{"encoding":1982},"k_G=\\frac{1}{1-0.75(0.8)+0.1}=2.",[1928,2612,2614,2669,2779],{"className":2613,"ariaHidden":1988},[1987],[1928,2615,2617,2620,2660,2663,2666],{"className":2616},[1992],[1928,2618],{"className":2619,"style":2362},[1996],[1928,2621,2623,2626],{"className":2622},[2001],[1928,2624,2123],{"className":2625,"style":2162},[2001,2161],[1928,2627,2629],{"className":2628},[2372],[1928,2630,2632,2652],{"className":2631},[2193,2194],[1928,2633,2635,2649],{"className":2634},[2198],[1928,2636,2638],{"className":2637,"style":2382},[2202],[1928,2639,2640,2643],{"style":2385},[1928,2641],{"className":2642,"style":2389},[2210],[1928,2644,2646],{"className":2645},[2393,2394,2395,2396],[1928,2647,1862],{"className":2648},[2001,2161,2396],[1928,2650,2254],{"className":2651},[2253],[1928,2653,2655],{"className":2654},[2198],[1928,2656,2658],{"className":2657,"style":2409},[2202],[1928,2659],{},[1928,2661],{"className":2662,"style":2010},[2009],[1928,2664,1958],{"className":2665},[2014],[1928,2667],{"className":2668,"style":2010},[2009],[1928,2670,2672,2675,2770,2773,2776],{"className":2671},[1992],[1928,2673],{"className":2674,"style":2427},[1996],[1928,2676,2678,2681,2767],{"className":2677},[2001],[1928,2679],{"className":2680},[2185,2186],[1928,2682,2684],{"className":2683},[2127],[1928,2685,2687,2759],{"className":2686},[2193,2194],[1928,2688,2690,2756],{"className":2689},[2198],[1928,2691,2693,2737,2745],{"className":2692,"style":2446},[2202],[1928,2694,2695,2698],{"style":2206},[1928,2696],{"className":2697,"style":2211},[2210],[1928,2699,2701,2704,2707,2710,2713,2716,2719,2722,2725,2728,2731,2734],{"className":2700},[2001],[1928,2702,2322],{"className":2703},[2001],[1928,2705],{"className":2706,"style":2034},[2009],[1928,2708,1970],{"className":2709},[2038],[1928,2711],{"className":2712,"style":2034},[2009],[1928,2714,2590],{"className":2715},[2001],[1928,2717,2334],{"className":2718},[2185],[1928,2720,2595],{"className":2721},[2001],[1928,2723,2343],{"className":2724},[2267],[1928,2726],{"className":2727,"style":2034},[2009],[1928,2729,1964],{"className":2730},[2038],[1928,2732],{"className":2733,"style":2034},[2009],[1928,2735,2602],{"className":2736},[2001],[1928,2738,2739,2742],{"style":2226},[1928,2740],{"className":2741,"style":2211},[2210],[1928,2743],{"className":2744,"style":2234},[2233],[1928,2746,2747,2750],{"style":2237},[1928,2748],{"className":2749,"style":2211},[2210],[1928,2751,2753],{"className":2752},[2001],[1928,2754,2322],{"className":2755},[2001],[1928,2757,2254],{"className":2758},[2253],[1928,2760,2762],{"className":2761},[2198],[1928,2763,2765],{"className":2764,"style":2531},[2202],[1928,2766],{},[1928,2768],{"className":2769},[2267,2186],[1928,2771],{"className":2772,"style":2010},[2009],[1928,2774,1958],{"className":2775},[2014],[1928,2777],{"className":2778,"style":2010},[2009],[1928,2780,2782,2786],{"className":2781},[1992],[1928,2783],{"className":2784,"style":2785},[1996],"height:0.6444em;",[1928,2787,2607],{"className":2788},[2001],[1798,2790,2791],{},"The model predicts that an extra £100 million of purchases eventually raises domestic output by £200 million.",[1798,2793,2794,2795,2798],{},"That number is ",[1919,2796,2797],{},"conditional on the model",". It falls if the central bank tightens, capacity is scarce, imports respond more, or firms cannot expand. The formula explains propagation; an empirical multiplier must be estimated for a place, policy, and horizon.",[2800,2801,2803],"h3",{"id":2802},"purchases-tax-cuts-and-transfers-are-not-interchangeable","Purchases, tax cuts, and transfers are not interchangeable",[1809,2805,2806,2809,2812,2815],{},[1812,2807,2808],{},"A purchase raises demand immediately if the project can begin.",[1812,2810,2811],{},"A tax cut first changes disposable income; some is saved.",[1812,2813,2814],{},"A targeted transfer may produce more demand per pound if recipients are liquidity-constrained.",[1812,2816,2817],{},"Public investment can raise future supply, but a poorly selected project can cost more than its benefits.",[1793,2819,2821],{"id":2820},"_4-automatic-stabilisers-versus-new-legislation","4. Automatic stabilisers versus new legislation",[1798,2823,2824,2825,2828],{},"During a downturn, tax receipts fall and unemployment-related payments rise automatically. These ",[1919,2826,2827],{},"automatic stabilisers"," support income without waiting for a new vote.",[1798,2830,2831],{},"Discretionary action can target a novel shock but faces three lags:",[2833,2834,2835,2841,2847],"ol",{},[1812,2836,2837,2840],{},[1919,2838,2839],{},"recognition"," — determine what happened;",[1812,2842,2843,2846],{},[1919,2844,2845],{},"decision"," — agree on a measure;",[1812,2848,2849,2852],{},[1919,2850,2851],{},"implementation"," — deliver funds or complete procurement.",[1798,2854,2855],{},"An immediate transfer and a five-year railway project can both be valuable, but they are not substitutes for the same policy objective.",[1793,2857,2859],{"id":2858},"_5-running-case-protecting-households-from-an-energy-shock","5. Running case: protecting households from an energy shock",[1798,2861,2862],{},"Suppose imported energy prices double and low-income households cannot afford basic heating.",[1829,2864,2865,2881],{},[1832,2866,2867],{},[1835,2868,2869,2872,2875,2878],{},[1838,2870,2871],{},"Option",[1838,2873,2874],{},"Protection",[1838,2876,2877],{},"Price signal",[1838,2879,2880],{},"Fiscal cost and targeting",[1848,2882,2883,2897,2911,2925,2939],{},[1835,2884,2885,2888,2891,2894],{},[1853,2886,2887],{},"universal price cap",[1853,2889,2890],{},"immediate and visible",[1853,2892,2893],{},"weakens incentive to conserve",[1853,2895,2896],{},"broad; pays even high users",[1835,2898,2899,2902,2905,2908],{},[1853,2900,2901],{},"cut energy tax",[1853,2903,2904],{},"quick",[1853,2906,2907],{},"weakens signal",[1853,2909,2910],{},"benefit rises with consumption",[1835,2912,2913,2916,2919,2922],{},[1853,2914,2915],{},"lump-sum payment",[1853,2917,2918],{},"supports income",[1853,2920,2921],{},"preserves marginal price",[1853,2923,2924],{},"can be broad or targeted",[1835,2926,2927,2930,2933,2936],{},[1853,2928,2929],{},"means-tested transfer",[1853,2931,2932],{},"concentrates support",[1853,2934,2935],{},"preserves signal",[1853,2937,2938],{},"requires administrative capacity",[1835,2940,2941,2944,2947,2950],{},[1853,2942,2943],{},"home-insulation grant",[1853,2945,2946],{},"slower",[1853,2948,2949],{},"reduces future demand",[1853,2951,2952],{},"quality and additionality matter",[1798,2954,2955,2956,2963],{},"IMF researchers estimated euro-area energy support at about 1.3% of GDP in 2022 and found that price-suppressing and untargeted measures made up a substantial share. The episode shows why speed, protection, conservation, inflation, and cost can point to different instruments (",[2957,2958,2962],"a",{"href":2959,"rel":2960},"https:\u002F\u002Fdoi.org\u002F10.5089\u002F9798400251399.001",[2961],"nofollow","Dao et al., 2023",").",[1798,2965,2966],{},"This evidence describes one exceptional energy shock; it does not establish that one instrument is best for every country.",[1793,2968,2970],{"id":2969},"_6-debt-dynamics-in-one-line","6. Debt dynamics in one line",[1798,2972,2542,2973,2976,2977,2980,2981,2984,2985,2988],{},[1860,2974,2975],{},"b"," be debt as a share of GDP, ",[1860,2978,2979],{},"r"," the effective nominal interest rate, ",[1860,2982,2983],{},"g"," nominal GDP growth, and ",[1860,2986,2987],{},"s"," the primary surplus as a share of GDP. A useful approximation is:",[1928,2990,2992],{"className":2991},[1931],[1928,2993,2995,3042],{"className":2994},[1935],[1928,2996,2998],{"className":2997},[1939],[1941,2999,3000],{"xmlns":1943,"display":1944},[1946,3001,3002,3039],{},[1949,3003,3004,3006,3008,3011,3013,3015,3017,3019,3021,3033,3035,3037],{},[1975,3005,2133],{"mathvariant":1977},[1975,3007,2975],{},[1956,3009,3010],{},"≈",[1956,3012,2334],{"stretchy":2333},[1975,3014,2979],{},[1956,3016,1970],{},[1975,3018,2983],{},[1956,3020,2343],{"stretchy":2333},[2309,3022,3023,3025],{},[1975,3024,2975],{},[1949,3026,3027,3029,3031],{},[1975,3028,2287],{},[1956,3030,1970],{},[2320,3032,2322],{},[1956,3034,1970],{},[1975,3036,2987],{},[1975,3038,1978],{"mathvariant":1977},[1980,3040,3041],{"encoding":1982},"\\Delta b \\approx (r-g)b_{t-1}-s.",[1928,3043,3045,3066,3089,3163],{"className":3044,"ariaHidden":1988},[1987],[1928,3046,3048,3051,3054,3057,3060,3063],{"className":3047},[1992],[1928,3049],{"className":3050,"style":1997},[1996],[1928,3052,2133],{"className":3053},[2001],[1928,3055,2975],{"className":3056},[2001,2161],[1928,3058],{"className":3059,"style":2010},[2009],[1928,3061,3010],{"className":3062},[2014],[1928,3064],{"className":3065,"style":2010},[2009],[1928,3067,3069,3073,3076,3080,3083,3086],{"className":3068},[1992],[1928,3070],{"className":3071,"style":3072},[1996],"height:1em;vertical-align:-0.25em;",[1928,3074,2334],{"className":3075},[2185],[1928,3077,2979],{"className":3078,"style":3079},[2001,2161],"margin-right:0.0278em;",[1928,3081],{"className":3082,"style":2034},[2009],[1928,3084,1970],{"className":3085},[2038],[1928,3087],{"className":3088,"style":2034},[2009],[1928,3090,3092,3095,3099,3102,3154,3157,3160],{"className":3091},[1992],[1928,3093],{"className":3094,"style":3072},[1996],[1928,3096,2983],{"className":3097,"style":3098},[2001,2161],"margin-right:0.0359em;",[1928,3100,2343],{"className":3101},[2267],[1928,3103,3105,3108],{"className":3104},[2001],[1928,3106,2975],{"className":3107},[2001,2161],[1928,3109,3111],{"className":3110},[2372],[1928,3112,3114,3145],{"className":3113},[2193,2194],[1928,3115,3117,3142],{"className":3116},[2198],[1928,3118,3121],{"className":3119,"style":3120},[2202],"height:0.3011em;",[1928,3122,3124,3127],{"style":3123},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[1928,3125],{"className":3126,"style":2389},[2210],[1928,3128,3130],{"className":3129},[2393,2394,2395,2396],[1928,3131,3133,3136,3139],{"className":3132},[2001,2396],[1928,3134,2287],{"className":3135},[2001,2161,2396],[1928,3137,1970],{"className":3138},[2038,2396],[1928,3140,2322],{"className":3141},[2001,2396],[1928,3143,2254],{"className":3144},[2253],[1928,3146,3148],{"className":3147},[2198],[1928,3149,3152],{"className":3150,"style":3151},[2202],"height:0.2083em;",[1928,3153],{},[1928,3155],{"className":3156,"style":2034},[2009],[1928,3158,1970],{"className":3159},[2038],[1928,3161],{"className":3162,"style":2034},[2009],[1928,3164,3166,3169,3172],{"className":3165},[1992],[1928,3167],{"className":3168,"style":2070},[1996],[1928,3170,2987],{"className":3171},[2001,2161],[1928,3173,1978],{"className":3174},[2001],[2800,3176,3178],{"id":3177},"worked-example","Worked example",[1798,3180,3181,3182,2546,3185,3188,3189,2554],{},"Initial debt is 80% of GDP, ",[1860,3183,3184],{},"r = 4%",[1860,3186,3187],{},"g = 3%",", and the primary budget has a 2% deficit, so ",[1860,3190,3191],{},"s = −2%",[1928,3193,3195],{"className":3194},[1931],[1928,3196,3198,3251],{"className":3197},[1935],[1928,3199,3201],{"className":3200},[1939],[1941,3202,3203],{"xmlns":1943,"display":1944},[1946,3204,3205,3248],{},[1949,3206,3207,3209,3211,3213,3215,3218,3220,3223,3225,3227,3230,3232,3234,3236,3238,3241,3243,3245],{},[1975,3208,2133],{"mathvariant":1977},[1975,3210,2975],{},[1956,3212,3010],{},[1956,3214,2334],{"stretchy":2333},[2320,3216,3217],{},"0.04",[1956,3219,1970],{},[2320,3221,3222],{},"0.03",[1956,3224,2343],{"stretchy":2333},[1956,3226,2334],{"stretchy":2333},[2320,3228,3229],{},"0.80",[1956,3231,2343],{"stretchy":2333},[1956,3233,1970],{},[1956,3235,2334],{"stretchy":2333},[1956,3237,1970],{},[2320,3239,3240],{},"0.02",[1956,3242,2343],{"stretchy":2333},[1956,3244,1958],{},[2320,3246,3247],{},"0.028.",[1980,3249,3250],{"encoding":1982},"\\Delta b \\approx (0.04-0.03)(0.80)-(-0.02)=0.028.",[1928,3252,3254,3275,3296,3326,3353],{"className":3253,"ariaHidden":1988},[1987],[1928,3255,3257,3260,3263,3266,3269,3272],{"className":3256},[1992],[1928,3258],{"className":3259,"style":1997},[1996],[1928,3261,2133],{"className":3262},[2001],[1928,3264,2975],{"className":3265},[2001,2161],[1928,3267],{"className":3268,"style":2010},[2009],[1928,3270,3010],{"className":3271},[2014],[1928,3273],{"className":3274,"style":2010},[2009],[1928,3276,3278,3281,3284,3287,3290,3293],{"className":3277},[1992],[1928,3279],{"className":3280,"style":3072},[1996],[1928,3282,2334],{"className":3283},[2185],[1928,3285,3217],{"className":3286},[2001],[1928,3288],{"className":3289,"style":2034},[2009],[1928,3291,1970],{"className":3292},[2038],[1928,3294],{"className":3295,"style":2034},[2009],[1928,3297,3299,3302,3305,3308,3311,3314,3317,3320,3323],{"className":3298},[1992],[1928,3300],{"className":3301,"style":3072},[1996],[1928,3303,3222],{"className":3304},[2001],[1928,3306,2343],{"className":3307},[2267],[1928,3309,2334],{"className":3310},[2185],[1928,3312,3229],{"className":3313},[2001],[1928,3315,2343],{"className":3316},[2267],[1928,3318],{"className":3319,"style":2034},[2009],[1928,3321,1970],{"className":3322},[2038],[1928,3324],{"className":3325,"style":2034},[2009],[1928,3327,3329,3332,3335,3338,3341,3344,3347,3350],{"className":3328},[1992],[1928,3330],{"className":3331,"style":3072},[1996],[1928,3333,2334],{"className":3334},[2185],[1928,3336,1970],{"className":3337},[2001],[1928,3339,3240],{"className":3340},[2001],[1928,3342,2343],{"className":3343},[2267],[1928,3345],{"className":3346,"style":2010},[2009],[1928,3348,1958],{"className":3349},[2014],[1928,3351],{"className":3352,"style":2010},[2009],[1928,3354,3356,3359],{"className":3355},[1992],[1928,3357],{"className":3358,"style":2785},[1996],[1928,3360,3247],{"className":3361},[2001],[1798,3363,3364,3365,3368],{},"Debt rises by about ",[1919,3366,3367],{},"2.8 percentage points of GDP",". If the same economy instead ran a 1% primary surplus, debt would fall by about 0.2 percentage points.",[1798,3370,3371,3372,2963],{},"The equation disciplines discussion, but real paths also include recessions, exchange-rate valuation, bank rescues, privatisation, maturity structure, inflation, and forecast error. The IMF's 2024 Fiscal Monitor therefore analyses a distribution of debt risks rather than one mechanical baseline (",[2957,3373,3376],{"href":3374,"rel":3375},"https:\u002F\u002Fwww.imf.org\u002Fen\u002Fpublications\u002Ffm\u002Fissues\u002F2024\u002F10\u002F23\u002Ffiscal-monitor-october-2024",[2961],"IMF, 2024",[3378,3379,3381],"tip",{"title":3380},"Debt questions need context","Ask who holds the debt, in which currency, at what maturity and interest rate, what financed it, and whether the state can raise revenue credibly. A debt ratio alone is not a verdict.",[1793,3383,3385],{"id":3384},"_7-a-six-test-policy-appraisal","7. A six-test policy appraisal",[1798,3387,3388],{},"For any proposal, answer in this order:",[2833,3390,3391,3397,3403,3409,3415,3421],{},[1812,3392,3393,3396],{},[1919,3394,3395],{},"objective"," — stabilisation, redistribution, correction of a market failure, or long-run capacity?",[1812,3398,3399,3402],{},[1919,3400,3401],{},"mechanism"," — whose budget changes, and what behaviour follows?",[1812,3404,3405,3408],{},[1919,3406,3407],{},"timing"," — when does demand or supply actually change?",[1812,3410,3411,3414],{},[1919,3412,3413],{},"incidence"," — who ultimately gains, pays, or is excluded?",[1812,3416,3417,3420],{},[1919,3418,3419],{},"side effects"," — prices, work, investment, imports, emissions, or monetary response?",[1812,3422,3423,3426],{},[1919,3424,3425],{},"fiscal path"," — temporary or permanent; financed now or added to debt?",[1793,3428,3430],{"id":3429},"practice-write-a-one-page-budget-brief","Practice: write a one-page budget brief",[1798,3432,3433],{},"The economy has a 3% negative output gap, inflation is falling, unemployment is rising, debt is 90% of GDP, and flood damage has closed transport links.",[2833,3435,3436,3439,3442,3445,3448],{},[1812,3437,3438],{},"Design a package with one immediate and one long-run measure.",[1812,3440,3441],{},"Draw the demand and supply channels separately.",[1812,3443,3444],{},"Explain which multiplier assumptions matter.",[1812,3446,3447],{},"Identify winners, losers, and implementation risks.",[1812,3449,3450],{},"State a review date and one condition for ending each measure.",[1793,3452,3454],{"id":3453},"quick-check","Quick check",[1809,3456,3457,3460,3463,3466,3469],{},[1812,3458,3459],{},"Purchases, transfers, and tax changes reach demand differently.",[1812,3461,3462],{},"A multiplier depends on the instrument, state of the economy, and policy response.",[1812,3464,3465],{},"Automatic stabilisers are fast; discretionary policy can be better targeted.",[1812,3467,3468],{},"Deficit is a flow; debt is a stock.",[1812,3470,3471],{},"Sustainability depends on primary balances, interest, growth, institutions, and risk.",[1798,3473,3474,3477,3478,1978],{},[1919,3475,3476],{},"Next:"," ",[2957,3479,3481],{"href":3480},".\u002F11-open-economy-and-exchange-rates","connect trade, capital flows, exchange rates, and imported inflation",{"title":10,"searchDepth":3483,"depth":3483,"links":3484},2,[3485,3486,3487,3488,3489,3493,3494,3495,3498,3499,3500],{"id":1795,"depth":3483,"text":1796},{"id":1803,"depth":3483,"text":1804},{"id":1826,"depth":3483,"text":1827},{"id":2094,"depth":3483,"text":2095},{"id":2276,"depth":3483,"text":2277,"children":3490},[3491],{"id":2802,"depth":3492,"text":2803},3,{"id":2820,"depth":3483,"text":2821},{"id":2858,"depth":3483,"text":2859},{"id":2969,"depth":3483,"text":2970,"children":3496},[3497],{"id":3177,"depth":3492,"text":3178},{"id":3384,"depth":3483,"text":3385},{"id":3429,"depth":3483,"text":3430},{"id":3453,"depth":3483,"text":3454},"Government budgets, multipliers, automatic stabilisers, policy design, distribution, and debt dynamics.","md",null,{},true,{"title":523,"description":3501},"ksHW_AfJLHT9MVIil7s8raFU7dRHFwFD0j9k1S4sTcM",[3509,3511],{"title":519,"path":520,"stem":521,"description":3510,"children":-1},"Output gaps, aggregate demand and supply, shock diagnosis, interest-rate transmission, expectations, lags, and policy trade-offs.",{"title":527,"path":528,"stem":529,"description":3512,"children":-1},"Trade accounting, nominal and real exchange rates, pass-through, external balances, exchange-rate regimes, and policy constraints.",1785754725769]