Comparing GDP among Countries

Read this text on how to compare the economic welfare of different nations. It reviews how to convert GDP to a common currency using exchange rates and GDP per capita using population data.

It is common to use GDP as a measure of economic welfare or standard of living in a nation. Two issues immediately arise when comparing the GDP of different nations for this purpose. First, we measure a country's GDP in its own currency: the United States uses the U.S. dollar; Canada uses the Canadian dollar; most countries of Western Europe use the euro; Japan uses the yen; Mexico uses the peso; and so on.

Thus, comparing GDP between two countries requires converting to a common currency. A second issue is that countries have very different numbers of people. For instance, the United States has a much larger economy than Mexico or Canada. Still, it also has almost three times as many people as Mexico and nine times as many people as Canada. Thus, if we are trying to compare standards of living across countries, we need to divide GDP by population.


Converting Currencies with Exchange Rates

To compare the GDP of countries with different currencies, it is necessary to convert to a "common denominator" using an exchange rate, which is the value of one currency in terms of another currency. We express exchange rates either as the units of country A's currency that need to be traded for a single unit of country B's currency (for example, Japanese yen per British pound) or as the inverse (for example, British pounds per Japanese yen).

We can use two types of exchange rates for this purpose: market exchange rates and purchasing power parity (PPP) equivalent exchange rates. Market exchange rates vary on a day-to-day basis depending on supply and demand in foreign exchange markets. PPP-equivalent exchange rates provide a longer-run measure of the exchange rate. For this reason, economists typically use PPP-equivalent exchange rates for GDP cross-country comparisons. We will discuss exchange rates in more detail in Exchange Rates and International Capital Flows. The following Work It Out feature explains how to convert GDP to a common currency.

Work It Out

Converting GDP to a Common Currency

Using the exchange rate to convert GDP from one currency to another is straightforward. Say that the task is to compare Brazil's GDP in 2020 of 7.4 trillion reals with the U.S. GDP of $20.9 trillion for the same year.

Step 1. Determine the exchange rate for the specified year. In 2020, the exchange rate was 2.362 reals = $1. (These numbers are realistic but rounded off to simplify the calculations.)

Step 2. Convert Brazil's GDP into U.S. dollars:

\begin{aligned}
        \text { Brazil's GDP in \$ U.S. } & =\frac{\text { Brazil's GDP in reals }}{\text { Exchange rate (reals } / \$ \text { U.S.) }} \\
        & =\frac{7.4 \text { trillion reals }}{2.362 \text { reals per } \$ \text { U.S. }} \\
        & =\$ 3.1 \text { trillion }
        \end{aligned}

Step 3. Compare this value to the GDP in the United States in the same year. The U.S. GDP was $20.9 trillion in 2020, which is almost seven times that of GDP in Brazil.

Step 4. View Table 6.8 which shows the size of and variety of GDPs of different countries in 2020, all expressed in U.S. dollars. We calculate each using the process that we explained above.

Country GDP in Billions of Domestic Currency Domestic Currency/U.S. Dollars (PPP Equivalent) GDP (in billions of U.S. dollars)
Brazil 7,447.86 reals 2.362 3,153.60
Canada 2,204.91 dollars 1.206 1,827.70
China 101,598.62 yuan 4.186 24,273.31
Egypt 5,820.00 pounds 4.511 1,290.21
Germany 3,367.56 euros 0.746 4,516.93
India 195,861.61 rupees 21.990 8,907.02
Japan 531,247.88 yen 102.835 5,166.00
Mexico 23,122.02 pesos 9.522 2,428.20
South Korea 1,924,452.90 won 861.824 2,233.00
United Kingdom 2,112.04 pounds 0.700 3,019.06
United States 20,936.60 dollars 1.000 20,936.60
Table 6.8 Comparing GDPs Across Countries, 2020

GDP Per Capita

The U.S. economy has the largest GDP in the world by a considerable amount. The United States is also a populous country; in fact, it is the third largest country by population in the world, although well behind China and India. Is the U.S. economy larger than other countries just because the United States has more people than most other countries or because the U.S. economy is actually larger on a per-person basis? We can answer this question by calculating a country's GDP per capita, that is, the GDP divided by the population.

GDP per capita = GDP/population

The second column of Table 6.9 lists the GDP of the same selection of countries that appeared in the previous Tracking Real GDP over Time and Table 6.8, showing their GDP as converted into U.S. dollars (which is the same as the last column of the previous table). The third column gives the population for each country. The fourth column lists the GDP per capita. We obtain GDP per capita in two steps: First, by multiplying column two (GDP, in billions of dollars) by 1000 so it has the same units as column three (Population, in millions). Then, divide the result (GDP in millions of dollars) by column three (Population in millions).

Country GDP (in billions of U.S. dollars) Population (in millions) Per Capita GDP (in U.S. dollars)
Brazil 3,153.60 212.56 14,836.27
Canada 1,827.71 38.00 48,097.62
China 24,273.36 1,402.11 17,312.02
Egypt 1,290.21 102.33 12,608.30
Germany 4,516.94 83.24 54,263.99
India 8,907.03 1,380.00 6,454.37
Japan 5,166.00 125.84 41,052.13
Mexico 2,428.20 128.93 18,833.48
South Korea 2,233.00 51.78 43,124.78
United Kingdom 3,019.60 67.22 44,913.08
United States 20,936.60 329.48 63,544.37
Table 6.9 GDP Per Capita, 2020

Notice that the rankings by GDP in billions of U.S. dollars and by GDP per capita are different than the ranking of GDP by each country's currency. Measured by its own currency, the rupee, India has a somewhat larger GDP than Germany. On a per capita basis in U.S. dollars, Germany has more than nine times India's per capita GDP on PPP terms.

Clear It Up

Is China going to surpass the United States in terms of standard of living?

China has the largest GDP in PPP terms: $24 trillion compared to the United States $21 trillion. But China has a much larger population, so that in per capita terms, its GDP is less than one-fourth that of the United States ($17,000 compared to $63,000). The Chinese people are still quite poor relative to the United States and other developed countries. One caveat: For reasons we will discuss shortly, GDP per capita can give us only a rough idea of the differences in living standards across countries.

The world's high-income nations – including the United States, Canada, Western European countries, and Japan – typically have GDP per capita in the range of $20,000 to $50,000. Middle-income countries, which include much of Latin America, Eastern Europe, and some countries in East Asia, have GDP per capita in the range of $6,000 to $12,000. The world's low-income countries, many of them located in Africa and Asia, often have GDP per capita of less than $2,000 per year.


Source: Rice University, https://openstax.org/books/principles-macroeconomics-3e/pages/6-4-comparing-gdp-among-countries
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Last modified: Thursday, September 21, 2023, 3:34 PM