The FDI inflow into India was 30 billion in 2020. For Bangladesh, it was 12 billion in 2020. Compute the compound annual growth rate (CAGR) of FDI inflows for each country over this period and state which country had a higher CAGR.
Answer
India: 5.64%, Bangladesh: 9.37% – Bangladesh has higher CAGR
The correct answer is India: 5.64%, Bangladesh: 9.37% – Bangladesh has higher CAGR — Compare 5.64% and 9.37%; Bangladesh’s CAGR is higher.
Step-by-step solution
- India: Ratio = 30/10 = 3.
- CAGR = 3^(1/20) – 1.
- ln(3)=1.0986; 1/20=0.05; 0.05×1.0986=0.05493; exp(0.05493)=1.0564; 1.0564–1=0.0564 → 5.64%.
- Bangladesh: Ratio = 12/2 = 6.
- CAGR = 6^(1/20) – 1.
- ln(6)=1.7918; 0.05×1.7918=0.08959; exp(0.08959)=1.0937; 1.0937–1=0.0937 → 9.37%.
- Compare 5.64% and 9.37%; Bangladesh’s CAGR is higher.
Common mistake: Using simple growth instead of CAGR
Concept tested: CAGR of FDI inflows
Published · How this solution was prepared and checked
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