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The summation of currency (C) and demand deposits (D) is equivalent to M1. The central banks monetary base, MB is equivalent to currency (C) plus

The summation of currency (C) and demand deposits (D) is equivalent to M1. The central banks monetary base, MB is equivalent to currency (C) plus reserves (R). Suppose R is the amount of reserves, RR is required reserves, ER is excess reserves, r is the required reserve ratio, e is the excess reserves ratio and c is the currency ratio. If R = RR + ER, RR = r x D, ER = e x D, C = c x D, derive the money multiplier, m for M1. Explain why the simple deposit multiplier overstates the money multiplier you computed.

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