Equilibrium indeterminacy and interest rate rules Question 2.3 in Galí (2015) Consider a classical economy with an exogenous real interest rate process {r}. Discuss the conditions under which the equilibrium will be (locally) unique and solve for the equilib- rium level of inflation when the central bank follows the rules: (a) Rule #1: Partial adjustment it = Q¡it-1 + (1 - i)ii where = [0,1] and it is a reference interest rate given by, i=p+Pxπt (b) Rule #2: Moving average inflation targeting it = p + prπt where 7+ = (1-8) ²007 πt-k (c) Show the equivalence between the two rules.
Equilibrium indeterminacy and interest rate rules Question 2.3 in Galí (2015) Consider a classical economy with an exogenous real interest rate process {r}. Discuss the conditions under which the equilibrium will be (locally) unique and solve for the equilib- rium level of inflation when the central bank follows the rules: (a) Rule #1: Partial adjustment it = Q¡it-1 + (1 - i)ii where = [0,1] and it is a reference interest rate given by, i=p+Pxπt (b) Rule #2: Moving average inflation targeting it = p + prπt where 7+ = (1-8) ²007 πt-k (c) Show the equivalence between the two rules.
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![Equilibrium indeterminacy and interest rate rules
Question 2.3 in Galí (2015)
Consider a classical economy with an exogenous real interest rate process {rt}. Discuss the
conditions under which the equilibrium will be (locally) unique and solve for the equilib-
rium level of inflation when the central bank follows the rules:
(a) Rule #1: Partial adjustment
i = pit-1+ (1 – 4:)i:
where o e [0,1] and i; is a reference interest rate given by,
(b) Rule #2: Moving average inflation targeting
it = p+ Prīt
where 7 = (1– 8) Lo oK Tq-k-
(c) Show the equivalence between the two rules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb73d65c-e27e-4eec-96b2-3aa8a68666ae%2Fa42dbebb-e9e0-47e1-93bd-ea4f31560569%2Fl6m8cxc_processed.png&w=3840&q=75)
Transcribed Image Text:Equilibrium indeterminacy and interest rate rules
Question 2.3 in Galí (2015)
Consider a classical economy with an exogenous real interest rate process {rt}. Discuss the
conditions under which the equilibrium will be (locally) unique and solve for the equilib-
rium level of inflation when the central bank follows the rules:
(a) Rule #1: Partial adjustment
i = pit-1+ (1 – 4:)i:
where o e [0,1] and i; is a reference interest rate given by,
(b) Rule #2: Moving average inflation targeting
it = p+ Prīt
where 7 = (1– 8) Lo oK Tq-k-
(c) Show the equivalence between the two rules.
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