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Study the table below and calculate (i) and (ii), showing all your workings - Leaving Cert Economics - Question 6 - 2012

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Study the table below and calculate (i) and (ii), showing all your workings. Year National Income Consumption Investment Exports Imports 1 €24,000 €15,000 €6,000 €1... show full transcript

Worked Solution & Example Answer:Study the table below and calculate (i) and (ii), showing all your workings - Leaving Cert Economics - Question 6 - 2012

Step 1

The Marginal Propensity to Save (MPS)

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Answer

To calculate the Marginal Propensity to Save (MPS), we use the formula:

MPS=1MPCMPS = 1 - MPC
  1. Calculate Savings for Year 1:

    • National Income (Y1) = €24,000
    • Consumption (C1) = €15,000
    • Savings (S1) = Y1 - C1 = €24,000 - €15,000 = €9,000
  2. Calculate Savings for Year 2:

    • National Income (Y2) = €34,000
    • Consumption (C2) = €22,000
    • Savings (S2) = Y2 - C2 = €34,000 - €22,000 = €12,000
  3. Calculate the change in savings:

    • Change in Savings = S2 - S1 = €12,000 - €9,000 = €3,000
  4. Calculate the change in income:

    • Change in National Income = Y2 - Y1 = €34,000 - €24,000 = €10,000
  5. Find the MPS:

    • MPS = Change in Savings / Change in Income = €3,000 / €10,000 = 0.3 or 30%

Step 2

The size of the Multiplier.

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Answer

To determine the size of the multiplier (k), we first need to find the Marginal Propensity to Consume (MPC). This is related to MPS as follows:

  1. Determine MPC:

    • MPC = 1 - MPS
    • From previous calculations, MPS = 0.3
    • Therefore, MPC = 1 - 0.3 = 0.7 or 70%
  2. Calculate the Marginal Propensity to Import (MPM):

    • Given an increase in imports of €5,000.
    • MPM = Change in Imports / Change in Income = €5,000 / €10,000 = 0.5 or 50%
  3. Apply the Multiplier Formula (using Method 1):

    • k=1MPS+MPM=10.3+0.5k=10.8=1.25k = \frac{1}{MPS + MPM} = \frac{1}{0.3 + 0.5} \Rightarrow k = \frac{1}{0.8} = 1.25
  4. Apply the Multiplier Formula (using Method 2):

    • k=11(MPCMPM)=11(0.70.5)k=110.2=10.8=1.25k = \frac{1}{1 - (MPC - MPM)} = \frac{1}{1 - (0.7 - 0.5)} \Rightarrow k = \frac{1}{1 - 0.2} = \frac{1}{0.8} = 1.25

Thus, the size of the multiplier is 1.25.

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