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Department of Economic
Creation date：2024-04-16 16:22:22
Belonging category：经济Economics
Department of Economic

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THE GOODS MARKET

Department of Economic
Roadmap for Today
■ Aggregate demand and its compositions
■ Determinants of aggregate demand
■ Equilibrium in the goods market
■ Multiplier effect
■ Reading: Blanchard and Johnson, Chapter 3

Aggregate Demand
■ Aggregate demand () for goods and services:
= + + +
1. Consumption (): Goods and services purchased by consumers
2. Government spending (): Goods and services purchased by governments (e.g., the
federal, provincial, local governments)
■ Not including government transfers (e.g., employment insurance)
3. Net exports (): Exports – Imports, Positive = Trade surplus, Negative = Trade deficit
4. Investments (): Capital goods (e.g., houses, factories, machinery)
■ Not referring to financial investments (e.g., stocks, bonds)
Aggregate Demand: An Example
■ Consider the following categories of aggregate demand: Consumption of goods,
consumption of services, investment, government spending. Which category do the
following items belong to?
1. A government transfer
2. A purchase of shares of a stock
3. A purchase of bread
4. A purchase of a 50-year old house
5. A purchase of a travel insurance
6. A construction of a new factory

Aggregate Demand: An Example
■ Consider the following categories of aggregate demand: Consumption of goods, consumption of
services, investment, government spending. Which category do the following items belong to?
1. A government transfer (None)
2. A purchase of shares of a stock (None)
3. A purchase of bread (Consumption of goods)
4. A purchase of a 50-year old house (None)
5. A purchase of a travel insurance (Consumption of services)
6. A construction of a new factory (Investment)

Inventory Investment
■ Inventory investment () = Production – Sales
– If > 0: Firms’ inventory accumulates
– If < 0: Firms’ inventory decreases (production from previous years fulfills
part of this year's demand)

Assumptions
1. Only one good in the economy
2. Inventories do not change ? Inventory investments, = 0: Assumed over the
entire course
3. The economy is closed (no imports or exports, = = 0, and zero flow of funds
across border): To be relaxed in Winter 2022
■ Aggregate demand = + +

Determination of GDP in the Short Run
■ How is GDP (i.e., the level of output) determined in the short run in a closed economy?
■ Keynesian economics: Aggregate demand determines aggregate supply in the short run
– Aggregate supply is perfectly elastic in the short run (price is constant)
– In the long run, aggregate supply is determined by input factors and technology
■ Relationship between aggregate demand and supply:

DETERMINANTS OF
AGGREGATE DEMAND

Relationship Between Income and Aggregate Demand
■ Government spending () not directly determined by income of a country? Take as
exogenous (i.e., a given number)
■ Investment () is related to income, but also depends crucially on the financial markets
? Postpone the discussion to next week
? Focus on determinants of consumption ()

Determinants of Consumption
■ Consumption () is determined by
1. Disposable income: After-tax income, ≡ ? , where is gross income = GDP
and is tax
2. Marginal propensity to consume (MPC), 1: When disposable income increases by
1 unit, by how many units consumption increases
■ Both factors positively affect the level of consumption
■ The simplest form: A linear relationship
= 0 + 1 = 0 + 1( ? )

Consumption Function: Implications
■ Consumption increases with disposable
income, but less than one for one
■ MPC is constant at all levels of income
(implied by the linear relationship
between and )
■ Note: Alternatively, one can imagine
that MPC decreases / increases with
income ? Assuming linear relationship
is a simplification
■ 0 > 0: The level of consumption for a
household with zero disposable income
– Example: Necessity expenditures
(e.g., food)
EQUILIBRIUM OUTPUT AND
MULTIPLIER EFFECT

The Determination of Equilibrium Output
■ Equilibrium in the goods market occurs when
Aggregate supply () = Aggregate demand ()
■ Aggregate demand for goods: ≡ + + , where consumption: = 0 + 1 =
0 + 1( ? ), investment and government spending are taken as exogenous
■ Namely,
= 0 + 1 ? + ? +
■ Solving for the equilibrium output, ?, we get
? = 11 ? 1 (0 + ? + ? 1)

Autonomous spending (i.e., spending that is
independent of output or income)
Illustration of Goods-Market Equilibrium

Summary
■ The goods market:
– The production of goods and services within a period of time in a country (the
definition of GDP)
– Aggregate demand for goods and services: = + + (+ + )
■ Determinants of consumption: Disposable income and marginal propensity of consume -
= 0 + 1( ? )
■ Equilibrium in the goods market (assuming perfectly elastic production):
= 0 + 1 ? + ? +
■ Key to derive the IS curve ? Building block for the IS-LM model (Week 4)
Case category
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SVM. (10 points) Consider an SVM classifier using RBF kernel, and finish the following python code to search for the optimum kernel parameter γ. You are required to calculate the RBF function and search yourself, instead of using functions in Scikit-Learn (sklearn). def parameter search(gamma list ,Xtr,ytr,Xts,yts ,...): """ Parameters gamma list: A list of RBF kernel parameter gamma to search for Xtr: Training data, shape (ntr,nrow,ncol) ytr: Training labels, shape (ntr,) Xts: Test data, shape (nts,nrow,ncol) yts: Test labels, shape (nts,) ... Add other parameters as needed Returns: gamma optimum: The gamma with minimum error on Xts, yts """ ... return gamma optimum
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