Understanding Key Economic Indicators and Growth
Consumer Price Index (CPI) and Real Value
The Consumer Price Index (CPI) is used to deflate nominal values into real values, allowing us to compare purchasing power over time. The formula is:
Real Value (year y) = Nominal Value (year x) * (CPI (year y) / CPI (year x))
For example, the real US federal minimum wage has declined by $3 since 1960. Market imperfections, such as lack of information, lack of competition, or high costs of entry, can contribute to this.
Unemployment and Business Cycles
The natural rate of unemployment is the normal level of unemployment. It has four contributors:
- Frictional
- Structural
- Seasonal
- Real-wage/classical unemployment
Cyclical unemployment refers to short-term fluctuations. Business cycles are the patterns of these short-term ups and downs.
Real GDP and Economic Growth
Real GDP is the rate at which income increases when we keep prices fixed. It describes a country’s economic productivity over time.
Given the growth rate in nominal GDP and inflation, the real GDP growth rate is:
Real GDP Growth Rate = Nominal GDP Growth Rate – Inflation Rate
Combining real GDP with population data gives us real GDP per capita, which describes the change in purchasing power for the average person over time.
Given the growth rate in nominal GDP:
Real GDP per Capita Growth Rate = Nominal GDP Growth Rate – Inflation Rate – Population Growth Rate
Economic growth builds on itself over time.
GDP per capita in any year can be calculated as:
GDP (year a) = GDP (year b) * (1 + Growth Rate)(year a – year b)
Rule of 70
A simple shortcut to understand how many years it takes for GDP to double is the Rule of 70:
Years Until Income Doubles = 70 / Real GDP Growth Rate
Factors Influencing GDP Growth
The growth of a nation’s GDP can be expressed as:
g(y) = g(A) + a * g(K) + (1 – a) * g(L)
Where:
- g = growth rates of a variable measured in percentage change
- a = share of GDP distributed to owners of capital
- 1 – a = share of GDP distributed to laborers
- g(A) = growth in technology
- g(K) = growth in capital
- g(L) = growth in labor
Aggregate Expenditure and Demand
Aggregate Expenditure is made up of:
- Consumption (C)
- Investment (I)
- Government Spending (G)
- Net Exports (X – M)
Aggregate Demand is also composed of Consumption (C) (roughly 66%), Investment (I), Government Spending (G), and Net Exports (X – M).
Marginal Propensity to Consume and Save
Disposable income = Consumption + Saving
The Marginal Propensity to Consume (MPC) is the fraction of each additional dollar of disposable income that is spent on consumption.
MPC (between 0 and 1) = Change in Consumption / Change in Disposable Income
The Marginal Propensity to Save (MPS) is:
MPS = 1 – MPC
Consumption and Planned Aggregate Expenditure
Total consumption can be broken down as:
Total Consumption = Autonomous Consumption + Income-Dependent Consumption
Or:
C = a + bYd
Where:
- C = current consumption
- a = autonomous consumption
- b = marginal propensity to consume
- Yd = disposable income
Planned Aggregate Expenditure (PAE) is:
PAE = A + bY
Where:
- bY = income-dependent expenditure
- A = a + I + G + NX (autonomous spending, not affected by income)
Multiplier Effect
The multiplier is calculated as:
Multiplier = 1 / (1 – MPC)
Aggregate Demand and Supply
Aggregate Demand (AD) represents the real GDP demanded at alternative price levels. It is downward sloping.
AD will shift right (increase) if there is:
- Increased consumer spending
- Expanding business
- Increase in government spending
- Tariff ends/decreases
- Increased demand for goods
AD will shift left if the opposite occurs.
Taxation Multiplier
The taxation multiplier is:
Taxation Multiplier = -MPC / (1 – MPC)
Aggregate Supply (AS) represents the real GDP supplied at different price levels. It is upward sloping.
Long-Run Aggregate Supply (LRAS)
An increase in LRAS can be caused by:
- Technological innovation, leading to greater production using the same number of inputs
- Increase in available capital
- Increase in available labor supply
- Universal primary education
A decrease in LRAS is caused by the opposite of these factors.
An increase in consumer confidence leads to an increase in AD, which in turn causes a decrease in SRAS.