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Given: Base Year CPI = 100, Year 1 CPI = 106, Year 2 CPI = 119, Year 3 CPI = 132.

Chemistry

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let's break down this inflation analysis.

Part a· 2 steps

  1. State the inflation rate formula.

    Inflation Rate=CPIcurrent−CPIbaseCPIbase×100%\text{Inflation Rate} = \frac{\text{CPI}_{\text{current}} - \text{CPI}_{\text{base}}}{\text{CPI}_{\text{base}}} \times 100\%

    Given: Base Year CPI = 100, Year 1 CPI = 106, Year 2 CPI = 119, Year 3 CPI = 132.

  2. Calculate the inflation rate for each year relative to the Base Year.

    • Year 1 vs Base: Inflation RateY1=106−100100×100%=6100×100%=6%\text{Inflation Rate}_{\text{Y1}} = \frac{106 - 100}{100} \times 100\% = \frac{6}{100} \times 100\% = 6\%
    • Year 2 vs Base: Inflation RateY2=119−100100×100%=19100×100%=19%\text{Inflation Rate}_{\text{Y2}} = \frac{119 - 100}{100} \times 100\% = \frac{19}{100} \times 100\% = 19\%
    • Year 3 vs Base: Inflation RateY3=132−100100×100%=32100×100%=32%\text{Inflation Rate}_{\text{Y3}} = \frac{132 - 100}{100} \times 100\% = \frac{32}{100} \times 100\% = 32\%
    Year 1: 6%, Year 2: 19%, Year 3: 32%\boxed{\text{Year 1: } 6\%, \text{ Year 2: } 19\%, \text{ Year 3: } 32\%}

Part b· 2 steps

  1. State the real income formula.

    Real Income=Nominal IncomeCPI×100\text{Real Income} = \frac{\text{Nominal Income}}{\text{CPI}} \times 100

    Given: Nominal salary = K18,000 per year.

  2. Calculate the worker's real income for each year.

    • Year 1: Real IncomeY1=K18,000106×100≈K16,981.13\text{Real Income}_{\text{Y1}} = \frac{\text{K}18,000}{106} \times 100 \approx \text{K}16,981.13
    • Year 2: Real IncomeY2=K18,000119×100≈K15,126.05\text{Real Income}_{\text{Y2}} = \frac{\text{K}18,000}{119} \times 100 \approx \text{K}15,126.05
    • Year 3: Real IncomeY3=K18,000132×100≈K13,636.36\text{Real Income}_{\text{Y3}} = \frac{\text{K}18,000}{132} \times 100 \approx \text{K}13,636.36
    Year 1: K16,981.13, Year 2: K15,126.05, Year 3: K13,636.36\boxed{\text{Year 1: K}16,981.13, \text{ Year 2: K}15,126.05, \text{ Year 3: K}13,636.36}

Part c· 2 steps

  1. 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).

  2. 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.

    Year 3, due to the lowest real income (K13,636.36).\boxed{\text{Year 3, due to the lowest real income (K13,636.36).}}

Part d

The Quantity Theory of Money is expressed as MV=PTMV = PT, where:

  • MM = Money Supply
  • VV = Velocity of Money (the average number of times a unit of money is spent in a given period)
  • PP = Price Level (represented by CPI in this case)
  • TT = Volume of Transactions (or real output/GDP)

Assuming that the velocity of money (VV) and the volume of transactions (TT) remain relatively constant in the short run, the Quantity Theory of Money suggests a direct relationship between the money supply (MM) and the price level (PP). 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 (MM) in the economy.

Increase in money supply (M)\boxed{\text{Increase in money supply (M)}}
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