How to Calculate The Real Gdp per Person

Real GDP per person is a key economic indicator that measures the total value of goods and services produced in a country, adjusted for inflation, and divided by the population. This metric provides a more accurate picture of a country's economic performance by accounting for price changes over time.

What is Real GDP Per Person?

Real GDP per person is calculated by adjusting the nominal GDP for inflation and then dividing by the population. This adjustment helps economists compare economic performance across different time periods, as it accounts for changes in the cost of living.

The formula for real GDP per person is:

Real GDP per person = (Nominal GDP / GDP Deflator) × 100 / Population

Where:

Nominal GDP is the total market value of all final goods and services produced in a country in a given year.
GDP Deflator is an index that measures the price level of all new goods and services produced in the economy.
Population is the total number of people living in the country.

Real GDP per person is expressed in the same units as nominal GDP (typically dollars or euros) but adjusted for inflation. It provides a more accurate measure of economic growth and living standards compared to nominal GDP per person.

The Formula

The calculation of real GDP per person involves several steps:

Calculate the nominal GDP for the year in question.
Determine the GDP deflator for the same year.
Divide the nominal GDP by the GDP deflator to get the real GDP.
Divide the real GDP by the population to get real GDP per person.

Real GDP per person = (Nominal GDP / GDP Deflator) × 100 / Population

For example, if a country's nominal GDP is $2 trillion, the GDP deflator is 120, and the population is 50 million, the real GDP per person would be:

Real GDP per person = ($2,000,000,000,000 / 120) × 100 / 50,000,000 = $80,000

This means each person in the country has a real GDP of $80,000, adjusted for inflation.

How to Calculate Real GDP Per Person

To calculate real GDP per person, follow these steps:

Gather the necessary data: Obtain the nominal GDP, GDP deflator, and population figures for the country and year you are analyzing.
Calculate the real GDP: Divide the nominal GDP by the GDP deflator and multiply by 100 to get the real GDP.
Divide by population: Take the real GDP and divide it by the population to get real GDP per person.
Interpret the result: Compare the result with historical data or other countries to understand the economic performance.

Note: Real GDP per person is often used to compare economic performance across countries and over time. It is a more accurate measure of living standards than nominal GDP per person.

Worked Example

Let's work through an example to illustrate how to calculate real GDP per person.

Example Scenario

Suppose we have the following data for a country:

Nominal GDP: $1.5 trillion
GDP Deflator: 110
Population: 40 million

Step-by-Step Calculation

Calculate the real GDP: Divide the nominal GDP by the GDP deflator and multiply by 100.

Real GDP = ($1,500,000,000,000 / 110) × 100 = $1,363,636,363,636
Calculate real GDP per person: Divide the real GDP by the population.

Real GDP per person = $1,363,636,363,636 / 40,000,000 = $34,091

In this example, the real GDP per person is $34,091, which represents the average economic output per person in the country, adjusted for inflation.

FAQ

What is the difference between nominal GDP per person and real GDP per person?: Nominal GDP per person is the total value of goods and services produced in a country divided by the population, without adjusting for inflation. Real GDP per person adjusts for inflation, providing a more accurate measure of economic growth and living standards.
Why is real GDP per person important?: Real GDP per person is important because it provides a more accurate measure of economic performance and living standards by accounting for changes in the cost of living. It helps economists compare economic growth across different time periods and countries.
How is the GDP deflator calculated?: The GDP deflator is calculated by dividing the nominal GDP by the real GDP and multiplying by 100. It measures the price level of all new goods and services produced in the economy.
Can real GDP per person be negative?: No, real GDP per person cannot be negative. It represents the total value of goods and services produced in a country, adjusted for inflation, and divided by the population. Negative values would indicate economic contraction, but the calculation itself does not produce negative results.
What are the limitations of using real GDP per person as a measure of economic performance?: Real GDP per person has limitations, including the fact that it does not account for income distribution, environmental quality, or the quality of goods and services. It also assumes that all goods and services are equally valuable, which may not be the case.