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Calculate the inflation rate for Year 1 vs Base Year.

Economics

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4 steps

Here's the inflation analysis:

Part a· 1 step

Calculate the inflation rate for each year

  1. Calculate the inflation rate for Year 1 vs Base Year.

    The formula for inflation rate is:

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

    For Year 1 vs Base:

    Inflation RateYear 1=108−100100×100%=8100×100%=8%\text{Inflation Rate}_{\text{Year 1}} = \frac{108 - 100}{100} \times 100\% = \frac{8}{100} \times 100\% = 8\%

    For Year 2 vs Base:

    Inflation RateYear 2=119−100100×100%=19100×100%=19%\text{Inflation Rate}_{\text{Year 2}} = \frac{119 - 100}{100} \times 100\% = \frac{19}{100} \times 100\% = 19\%

    For Year 3 vs Base:

    Inflation RateYear 3=132−100100×100%=32100×100%=32%\text{Inflation Rate}_{\text{Year 3}} = \frac{132 - 100}{100} \times 100\% = \frac{32}{100} \times 100\% = 32\%

    The inflation rates are:

    • Year 1 vs Base: \boxed{\text{8%}}
    • Year 2 vs Base: \boxed{\text{19%}}
    • Year 3 vs Base: \boxed{\text{32%}}

Part b· 1 step

Calculate the worker's real income in each of the three years

  1. Calculate real income for each year.

    The formula for real income is:

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

    Given Nominal Salary = K18,000 and Base Year CPI = 100.

    For Year 1:

    Real IncomeYear 1=K18,000108×100=K16,666.67\text{Real Income}_{\text{Year 1}} = \frac{\text{K18,000}}{108} \times 100 = \text{K16,666.67}

    For Year 2:

    Real IncomeYear 2=K18,000119×100=K15,126.05\text{Real Income}_{\text{Year 2}} = \frac{\text{K18,000}}{119} \times 100 = \text{K15,126.05}

    For Year 3:

    Real IncomeYear 3=K18,000132×100=K13,636.36\text{Real Income}_{\text{Year 3}} = \frac{\text{K18,000}}{132} \times 100 = \text{K13,636.36}

    The real incomes are:

    • Year 1: K16,666.67\boxed{\text{K16,666.67}}
    • Year 2: K15,126.05\boxed{\text{K15,126.05}}
    • Year 3: K13,636.36\boxed{\text{K13,636.36}}

Part c· 1 step

In which year is the worker WORST OFF in terms of real purchasing power? Justify your answer

  1. Identify the year with the lowest real income.

    Comparing the real incomes:

    • Year 1: K16,666.67
    • Year 2: K15,126.05
    • Year 3: K13,636.36

    The worker is worst off in Year 3\boxed{\text{Year 3}}. This is because the real income in Year 3 (K13,636.36) is the lowest, meaning their purchasing power has been eroded the most by inflation compared to the other years.

Part d· 1 step

Using the Quantity Theory of Money (MV = PT), explain what change in money supply may have caused this inflation in Year 3

  1. Explain inflation in Year 3 using the Quantity Theory of Money.

    The Quantity Theory of Money states that MV=PTMV = PT, where MM is the money supply, VV is the velocity of money, PP is the price level, and TT is the volume of transactions (or real output). Assuming that the velocity of money (VV) and the volume of transactions (TT) remain relatively constant in the short run, an increase in the money supply (MM) directly leads to a proportional increase in the price level (PP). Therefore, the inflation observed in Year 3 could have been caused by a significant increase in the money supply\boxed{\text{increase in the money supply}} (MM) in the economy.

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