Macroeconomics for Financial Forecasting

Course Structure & Assessment Framework

• Weighting Scheme:

  • Continuous Assessment (CA): $60\%$ of Course Grade ($\text{CG}$).

  • Class participation and engagement (individual grade): $40\%$ of $\text{CA}$ ($24\%$ of $\text{CG}$).

  • Groupwork evaluation: $60\%$ of $\text{CA}$ ($36\%$ of $\text{CG}$).

  • Final Assessment (FA): $40\%$ of Course Grade ($\text{CG}$), evaluated via an individual in-class examination with browser-locking technology.

• Group Project Specifications:

  • Teams of $5$ apply zero-shot sentiment analysis using a large language model ($\text{LLM}$) on qualitative news to forecast a financial variable (e.g., stock index or interest rate).

  • Modeling requires linear regressions run via tools such as Excel Data Analysis.

• Foundational Literature:

  • Paul Krugman and Robin Wells, Macroeconomics.

  • Robert T. McGee, Applied Financial Macroeconomics and Investment Strategy: A Practitioner's Guide to Tactical Asset Allocation.

GDP Accounting & Short-Term Aggregate Demand

• Three Measures of GDP:

  • Production Approach: Gross Value Added ($\text{GVA}$) across all sectors plus net taxes on products ($\text{Taxes} - \text{Subsidies}$):     $\text{GDP} \approx \sum \text{GVA}_{\text{sector}} + \text{Taxes} - \text{Subsidies}$

  • Income Approach: Pre-tax factor remuneration:     $\text{GDP} \approx \text{Employee Compensations} + \text{Gross Operating Surplus}$

  • Demand Approach: Final expenditures on domestic output:     $Y = C + G + I + \text{Inv} + (EX - IM)$

  • Private consumption ($C$), Government consumption ($G$), Gross fixed capital formation ($I$), Changes in inventories ($\text{Inv}$), and Net exports of goods and services ($EX - IM$).

• GDP Exclusions & Boundaries:

  • Omits environmental degradation, depletion of natural resources, damage from wars/natural disasters, unpriced transactions (volunteer/household labor), and the informal/shadow economy.

  • Omits secondary financial market transactions and stock market capitalization; captures financial sector value added via imputed service charges, net commissions, and margins.

• Private Consumption & Savings Dynamics:

  • Nominal consumption relates directly to Personal Disposable Income ($\text{PDI}$):     $C = c \times \text{PDI}$     $S = \text{PDI} - C = s \times \text{PDI}$

  • Marginal propensity to consume $c = 1 - s$, where $s$ represents the savings rate.

  • Savings Motives: Consumption smoothing across cycles, precautionary reserves (education, retirement, health), and macro/policy uncertainty.

  • Interest Rate Channels: Lower interest rates increase consumption for net borrowers by easing borrowing costs, but can reduce consumption for net lenders due to declining interest income.

Growth Measurement & Forecasting Mechanics

• Price Deflation:   $\text{Real GDP} = \frac{\text{Nominal GDP}}{\text{GDP Deflator}}$

• Percentage Change Calculations:

  • Linear Approximations:     $\Delta\% \text{Nominal GDP} \approx \Delta\% \text{Real GDP} + \Delta\% \text{Price}$     $\Delta\% \text{Real GDP} \approx \Delta\% \text{Nominal GDP} - \Delta\% \text{Price}$

  • Exact Multiplicative Identity:     $1 + \Delta\% \text{Nominal} = (1 + \Delta\% \text{Real}) \times (1 + \Delta\% \text{Price})$

• Chain-Linked Component Contributions:

  • In chained-volume national accounts, aggregate real GDP growth equals the weighted sum of component contributions:     $\text{Contribution of } I = \Delta\% I \times \left(\frac{\text{Nominal } I}{\text{Nominal GDP}}\right)$

• Seasonality Considerations:

  • Sequential period comparisons ($\text{QoQ}$, $\text{MoM}$) require Seasonally Adjusted ($\text{SA}$) and Working-Day-Adjusted ($\text{WDA}$) or Calendar-Day-Adjusted ($\text{CDA}$) data to eliminate recurrent calendar distortions.

  • Year-on-year ($\text{YoY}$) metrics inherently bypass intra-year seasonal patterns.

Long-Term Economic Growth & Sustainability

• Real GDP Growth Decomposition:   $\Delta \text{Real GDP} = \Delta \text{Total Pop.} + \Delta \left(\frac{\text{Real GDP}}{\text{Employment}}\right) + \Delta \left(\frac{\text{Employment}}{\text{Pop}_{15-64}}\right) + \Delta \left(\frac{\text{Pop}_{15-64}}{\text{Total Pop.}}\right)$

  • Growth separates into population expansion, labor productivity, the employment rate, and the working-age demographic share.

• Solow Growth Model:   $\text{Labor Productivity Growth} = \text{Total Factor Productivity (TFP)} + \text{Capital Deepening}$

  • $\text{TFP}$ reflects technological innovations, organizational efficiency, and managerial improvements.

  • Capital deepening measures real capital accumulation per hour or per worker.

• Human Development Index (HDI):

  • Geometric composite measuring human capabilities (Amartya Sen framework):

  • Health: Life Expectancy Index.

  • Education: Mean and expected years of schooling.

  • Living Standards: Gross National Income ($\text{GNI}$) per capita at Purchasing Power Parity (\text{PPP } \).

• Environmental Decoupling:

  • Environmental Kuznets Curve posits that pollution and carbon emissions accelerate during early industrialization, but plateau and decouple from growth at advanced income stages.

High-Frequency Business Indicators

• Indicator Types:

  • Soft Data (Surveys): Qualitative sentiment balances providing real-time data ($\text{PMIs}$, German $\text{IFO}$, $\text{ZEW}$, Bank of Japan $\text{Tankan}$, European Commission $\text{ESI}$, $\text{BCI}$).

  • Hard Data: Quantitative physical and transaction metrics (industrial production, durable goods shipments, building permits, payroll counts).

  • Composite Series: Leading indicators (e.g., Conference Board $\text{LEI}$, OECD $\text{CLI}$) forecast economic inflection points $1$ to $2$ quarters forward; coincident indicators track contemporaneous output.

• Purchasing Managers' Index (PMI):

  • Diffusion index formula based on survey percentages:     $\text{PMI} = \% \text{Better} + 0.5 \times \% \text{Unchanged}$

  • An index reading above $50$ signifies expansion, equal to $50$ indicates neutral conditions, and below $50$ reflects contraction.

  • Sub-indices include New Orders (leading), Production (coincident), Supplier Deliveries, and Inventories.

Price Indices, Labor Costs & Financial Valuation

• Measures of Inflation:

  • Consumer Price Index (CPI / HICP): Fixed basket of consumer purchases; includes import costs and consumer taxes, excludes export prices.

  • GDP Deflator: Captures prices of all domestically produced goods and services; includes capital goods, public services, and exports, while excluding imports.

  • Personal Consumption Expenditures (PCE) Deflator: Federal Reserve target metric; accounts for product substitution, non-market transfers (Medicare/Medicaid), and imputed housing rents.

• Core Inflation & Taxes:

  • Core measures exclude volatile energy and food prices to track underlying monetary persistence.

  • Changes in Value Added Tax ($\text{VAT}$) pass through asymmetrically, with prices reacting roughly twice as strongly to tax increases as to decreases.

• Unit Labor Costs (ULC) and Inflation Transmission:   $ULC = \frac{\text{Compensations}}{\text{Productivity}}$   $\Delta\% \text{Productivity} \approx \Delta\% \text{Real GDP} - \Delta\% \text{Employment}$   $\Delta\% ULC \approx \Delta\% \text{Compensation per Employee} - \Delta\% \text{Productivity}$   $\Delta\% \text{Price (GDP Deflator)} \approx \Delta\% ULC + \Delta\% \text{Markup}$

• Asset Price Transmission:

  • Modigliani-Cohn Money Illusion: Equity investors tend to systematically overvalue equities in low-inflation environments and undervalue them under high inflation due to incorrect nominal-to-real cash flow discounting.

  • Fixed Income: Medium- and long-term bond yields incorporate policy rate expectations plus an inflation risk premium.

Central Banking & Monetary Frameworks

• Central Bank Mandates & Governance:

  • Federal Reserve System: Dual mandate under the Federal Reserve Act (Price stability at $2\%$ over the long run, Maximum employment). Decisions made by the Federal Open Market Committee ($\text{FOMC}$) with $12$ voters ($7$ Board Governors, New York Fed President, and $4$ rotating regional Reserve Bank Presidents).

  • Eurosystem (ECB): Primary objective under the Treaty on the Functioning of the EU (Price stability at $2\%$ over the medium term). Decisions made by the Governing Council ($6$ Executive Board members plus $15$ rotating National Central Bank Governors).

  • Independence: Shielding policy from political cycles prevents fiscal dominance and runaway money creation (e.g., Zimbabwe hyperinflation).

• Conventional Monetary Policy Tools:

  • Reserve Requirements: Determines maximum credit expansion capacity via the bank credit channel:     $\text{Money Multiplier} = \frac{1}{\text{Reserve Coefficient}}$

  • Policy Interest Rates: Discount Window Primary Credit Rate and Federal Funds Target Range in the US; Main Refinancing Operations ($\text{MRO}$) repo rate and deposit facility rate in the Eurozone.

  • Standard Open-Market Operations: Short-term collateralized repurchase agreements ($\text{repos}$) managing interbank system liquidity.

• Unconventional Policy Interventions (QE / QT):

  • Quantitative Easing (QE): Large-scale secondary-market purchases of long-term sovereign and private debt funded by creating commercial bank central bank reserves; compresses term premia without directly injecting physical currency into the non-bank public.

  • Quantitative Tightening (QT): Balance sheet contraction achieved by winding down bond purchase reinvestment programs (tapering), allowing assets to mature, or executing outright security sales.

• Balance Sheet Risks: Creation of asset price bubbles via search-for-yield, heightened central bank exposure to sovereign credit default risk, and wealth redistribution between creditors and debtors.