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Why decrease in money supply will causes the real interest rate to remain unchanged and price level fall? I though that decrease in money supply

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Why decrease in money supply will causes the real interest rate to remain unchanged and price level fall? I though that decrease in money supply will shift the LM curve up to the left, isn't interest rate rise and price level rise?

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A decrease in money supply causes the real interest rate to and the price level to__in general equilibrium. a. remain unchanged; fall b. remain unchanged; rise c. rise; rise d. fall; remain unchanged Your answer is incorrect. The correct answer is: remain unchanged; fall

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