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Basically, GDP=AE=Y where AE is aggregate expenditure and Y is income. Y=C+I+G+(X-M) C is consumption, I is investment, G is government spending, X is exports and M is imports. So increased investment can lead to increased GDP. In a bit more detail: I can be broken down into: Investment=I0 - bi where I0 is 'autonomous' investment (as in firms will do it nor matter what). i is the interest rate and b is the marginal propensity to invest. So, as interest rates increase, the cost of investing increases and so investment decreases.

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