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Given: Base Year CPI = 100, Year 1 CPI = 106, Year 2 CPI = 119, Year 3 CPI = 132.
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6 stepslet's break down this inflation analysis.
Part a· 2 steps
State the inflation rate formula.
Given: Base Year CPI = 100, Year 1 CPI = 106, Year 2 CPI = 119, Year 3 CPI = 132.
Calculate the inflation rate for each year relative to the Base Year.
- Year 1 vs Base:
- Year 2 vs Base:
- Year 3 vs Base:
Part b· 2 steps
State the real income formula.
Given: Nominal salary = K18,000 per year.
Calculate the worker's real income for each year.
- Year 1:
- Year 2:
- Year 3:
Part c· 2 steps
Compare the real incomes calculated in part (b).
The real incomes are K16,981.13 (Year 1), K15,126.05 (Year 2), and K13,636.36 (Year 3).
Identify the year with the lowest real income.
The lowest real income is K13,636.36, which occurred in Year 3.
Justification: Real income represents the actual purchasing power of the nominal salary. Since the real income is lowest in Year 3, the worker's purchasing power was at its lowest, meaning they were worst off in that year.
Part d
The Quantity Theory of Money is expressed as , where:
- = Money Supply
- = Velocity of Money (the average number of times a unit of money is spent in a given period)
- = Price Level (represented by CPI in this case)
- = Volume of Transactions (or real output/GDP)
Assuming that the velocity of money () and the volume of transactions () remain relatively constant in the short run, the Quantity Theory of Money suggests a direct relationship between the money supply () and the price level (). Therefore, the inflation observed in Year 3 (a significant increase in the price level) may have been caused by a substantial increase in the money supply () in the economy.
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