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In the IS-LM model seen in class, consumption only depends on disposable income. What happens if it also depends on the interest rate? Concretely, let's

In the IS-LM model seen in class, consumption only depends on disposable income. What happens if it also depends on the interest rate? Concretely, let's change C (Y^d ) to C (Y^d, r) where Cy^d (Y^d, r) > 0 and Cr (Y^d, r) < 0. The intuition is that people spend more when their available income increases and are more tempted to buy expensive items like cars and houses when financing is cheap (i.e. when the interest rate is low). c) (16 pts) Does this change (Cr (Y^d, r) < 0 compared to a situation where C, (Y^d, r) = 0) make monetary policy more effective / less effective, unchanged or is the change ambiguous!' (how does it change (dY/(dM0)^s)? (Justify well, make sure the implicit function theorem can be applied). d) (4 pts) Does this change (C, (Y, r) < 0 compared to a situation where Cr (Y^d, r) = 0) make government expenditure more or less effective at stimulating the economy (how does it change dY/G0)? Is it ambiguous

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