Suppose the central bank has a dual mandate. This implies the following IS-MP-AS model: IS: Y_t = a - b(R_t - r) MP: R_t - r = m(pi_t - pi) + dY_t AS: pi_t = pi_t - 1 + v Y_t + o (a) Why does the above model represent a dual mandate? (b) Solve for the AD curve of this economy. (c) Compare the slope of the AD curve in this economy to the slope of an AD curve in an economy with a single mandate (i.e. set d = 0.). Does the slope make sense given the central bank's objectives? Explain using a graph.

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Suppose the central bank has a dual mandate. This implies the following IS-MP-AS model: IS: Y_t = a - b(R_t - r) MP: R_t - r = m(pi_t - pi) + dY_t AS: pi_t = pi_t - 1 + v Y_t + o (a) Why does the above model represent a dual mandate? (b) Solve for the AD curve of this economy. (c) Compare the slope of the AD curve in this economy to the slope of an AD curve in an economy with a single mandate (i.e. set d = 0.). Does the slope make sense given the central bank's objectives? Explain using a graph.

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