Worked example 1
In 2020, the developing country of Zambezi had both its export price index and import price index set at a base value of 100. By 2024, due to a fall in global demand for its main export, copper, its export price index fell to 95. Over the same period, the price of manufactured goods it imports rose, causing its import price index to increase to 110.
(a) Calculate Zambezi's terms of trade index for 2024. (2 marks) (b) Explain the likely impact of this change on Zambezi's economy. (4 marks)
Show solution outline
(a) Calculation of Terms of Trade (ToT) Index
Step 1: State the formula. The formula for the Terms of Trade Index is: ToT Index = (Index of Export Prices / Index of Import Prices) × 100
Step 2: Substitute the given values. Index of Export Prices (Px) = 95 Index of Import Prices (Pm) = 110
ToT Index = (95 / 110) × 100
Step 3: Calculate the final value. ToT Index = 0.8636... × 100 ToT Index = 86.36 (to 2 decimal places)
(b) Explanation of the Impact
1. Interpretation of the result: A fall in the ToT index from 100 in 2020 to 86.36 in 2024 represents a deterioration or worsening of the terms of trade.
2. Impact on purchasing power: This means that for every unit of exports sold, Zambezi can now buy fewer imports. Specifically, the purchasing power of its exports has fallen by approximately 13.64% (100 - 86.36).
3. Impact on the Balance of Payments: Assuming the volume of imports and exports remains unchanged (ceteris paribus), the fall in export prices relative to import prices will lead to a worsening of the current account balance. The value of exports will fall while the value of imports rises, increasing the current account deficit or reducing any surplus.
4. Impact on Standard of Living: To afford the same quantity of imports as before, Zambezi must now export a greater volume of copper. This requires more resources and effort for the same return, potentially leading to a fall in the country's real income and standard of living.