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# Write Down the Three Identities of Calculating the Gdp of a Country by the Three Methods. Also Briefly Explain Why Each of These Should Give Us the Same Value of Gdp. - Economics

Short Note

Write down the three identities of calculating the GDP of a country by the three methods. Also briefly explain why each of these should give us the same value of GDP.

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#### Solution

GDP can be calculated by the following three methods :-

(a) Income method :-

GDP = Total payments made to the factors of production

"GDP" equiv sum_(i=1)^MW_i+sum_(i=1)^MP_i+sum_(i=1)^M"In"_i+sum_(i=1)^MR_i...................(1)

sum_(i=1)^MW_i represents total wages and salaries received by i-th households.

sum_(i=1)^MP_i represents total profit received by i-th households.

sum_(i=1)^M"In"_i represents total Income received by i-th households.

sum_(i=1)^MR_i represents total Rent received by i-th households.

Equation (1) can be simplified as

GDP ≡ W + R + In + P

(b) Value added or product method

GDP ≡ Sum of gross value added by all firms in an economy

or GDP ≡ GVA1 + GVA2 + …GVAn

Where,

GVArepresents gross value added by the 1st firm

GVArepresents gross value added by the 2nd firm and so on

.

.

.

GVAn represents gross value added by the nth firm

Therefore,

"GDP" equiv sum_(i=1)^N "GVA"_i

(c) Expenditure method or final consumption method

GDP ≡ Sum total of revenues that firms earn

Or

GDP ≡ Total consumption + Investment + Government Consumption expenditure + Net exports

equiv sum_(i=1)^N C_i+sum_(i=1)^NI_i+sum_(i=1)^NG_i+sum_(i=1)^N X_i

As households spend some part of their income on imports, some portion of consumption expenditure also comprises of imports, which are denoted by CM. Similarly, some part of the investment expenditure and government consumption expenditure is spent on the foreign investment goods and imports. These portions of investment and government consumption expenditure are denoted by IM and GM respectively. Thus, the final household's consumption expenditure, investment expenditure and final government expenditure that are spent on the domestic firms are denoted by C − CM, I − IM and G − GM respectively.

Substituting these values in the above equation

"GDP" equiv C-C_m+I-I_m+G-G_m+sum_(i=1)^N X_i

equiv C+I+G+sum_(i=1)^N-(C_m+I_m+G_m)

equiv C+I+G+X-M

The three methods give the same result for measuring GDP because what is produced in the economy is either consumed or invested. The three methods depict the same picture of an economy from three different angles. While the product method presents the value added or total production, the income method depicts the income earned by all the factors, lastly, the expenditure method presents the expenditure incurred by all the factors. In the economy, the producer employs four factors of production to produce final goods and earns revenue by sale, which is equivalent to the total value addition by the firm. The firms pay remunerations to the factors, which act as the income of all the factors. These remunerations are equivalent to the factors’ contributions to the value addition. These factor incomes are then expended on the goods and services, which verifies the equality between the factor income and expenditure. Hence, the three methods will always give the same value of GDP.

Concept: Gross and Net Domestic Product (GDP and NDP)
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#### APPEARS IN

NCERT Class 12 Economics - Introductory Macroeconomics
Chapter 2 National Income Accounting
Exercise | Q 5 | Page 33
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