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where Y is real output, P is the price level, r is the real interest rate, e is inflation expectation, T is a lump-sum tax,

where Y is real output, P is the price level, r is the real interest rate, e is inflation expectation, T is a lump-sum tax, Cd is desired consumption, Id is desired investment, and M is the nominal supply of money which is set by the central bank. Derive an algebraic expression for the IS and LM curves with the real interest rate on the left hand side

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