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Derive the multiplier for induced investment

Derive the multiplier for induced investment

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Dana
Y=C + I
Y = a+ ßY +Io
Y- ßy= a + Io
(1 – ß) Y = a + Io
Hence Y = (a + Io) / (1 – ß)
Y = (a + Io) / (1 – ß) + ?I / (1 – ß)
?Y = ?I / (1 – ß)
?Y = 1 / (1 – ß)* ?I
Thus ?Y/ ?I = 1 / (1 – ß)

Dana05 answered the question on July 18, 2019 at 19:56

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