Worked example 1
MPC = 0.75. The government increases spending on hospitals by $20 billion, financed by borrowing.
(a) Calculate the government spending multiplier. (b) Calculate the total change in national income. (c) If crowding out reduces private investment by $5 billion, estimate the net effect on AD.
Show solution outline
(a) Multiplier k = 1 ÷ (1 − 0.75) = 1 ÷ 0.25 = 4
(b) Total ΔY ΔY = k × ΔG = 4 × $20bn = $80 billion
(c) Net effect with crowding out Gross fiscal boost = +$80bn to Y Crowding out: I falls by $5bn → secondary reduction ≈ 4 × $5bn = $20bn Net ΔY ≈ $80bn − $20bn = $60 billion (crowding out reduces but does not eliminate the stimulus)