Question

Which of the following mathematical equations correctly represents the transformation route to derive Gross National Product at Factor Cost (\( \text{GNP}_{fc} \)) from Gross Domestic Product at Market Prices (\( \text{GDP}_{mp} \))?

• A. \( \text{GNP}_{fc} = \text{GDP}_{mp} + \text{Net Factor Income from Abroad (NFIA)} - \text{Net Indirect Taxes (NIT)} \)
• B. \( \text{GNP}_{fc} = \text{GDP}_{mp} - \text{Net Factor Income from Abroad (NFIA)} + \text{Net Indirect Taxes (NIT)} \)
• C. \( \text{GNP}_{fc} = \text{GDP}_{mp} + \text{Net Factor Income from Abroad (NFIA)} - \text{Depreciation} \)
• D. \( \text{GNP}_{fc} = \text{GDP}_{mp} - \text{Net Indirect Taxes (NIT)} - \text{Depreciation} \)

Hint:

Keep your directional signs straight: Add foreign factor flows (\( + \text{NFIA} \)) to go from domestic to national, and Subtract product taxes (\( - \text{NIT} \)) to drop market prices down to factory cost.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
National Income accounting requires moving between different aggregates by adjusting for specific economic variables.
To derive \(GNP_{fc}\) from \(GDP_{mp}\), we must bridge two gaps:
1. The Gap between Domestic and National income (The Territory vs. Residents gap).
2. The Gap between Market Price and Factor Cost valuation (The Tax/Subsidy distortion gap).
Step 2: Key Formula or Approach:
The fundamental conversion rules are:
1. \(National = Domestic + \text{Net Factor Income from Abroad (NFIA)}\)
2. \(Factor Cost = Market Price - \text{Net Indirect Taxes (NIT)}\)
Note: Since both terms are "Gross", we do not need to adjust for Depreciation.
Detailed Explanation:
Let us perform the transformation in two logical steps:
Step A: Convert Domestic to National
\(GDP_{mp}\) measures the value produced within the domestic territory.
To find the income of the residents (National), we must add what our residents earn abroad and subtract what foreigners earn in our country.
\[ GNP_{mp} = GDP_{mp} + \text{NFIA} \]
Step B: Convert Market Price to Factor Cost
Market price includes the indirect taxes paid to the government and excludes the subsidies given by the government.
Factor cost is the actual cost incurred by factors of production (rent, wages, interest, profit).
To get factor cost, we must "strip away" the government interventions.
Since \(\text{Net Indirect Taxes (NIT)} = \text{Indirect Taxes} - \text{Subsidies}\), we subtract NIT from the market price.
\[ GNP_{fc} = GNP_{mp} - \text{NIT} \]
Conclusion:
Substituting the formula from Step A into Step B:
\[ GNP_{fc} = (GDP_{mp} + \text{NFIA}) - \text{NIT} \]
This gives us the complete transformation equation.
Step 3: Final Answer:
The equation is \(GNP_{fc} = GDP_{mp} + \text{NFIA} - \text{NIT}\).
Therefore, option (A) is correct.