International Spillovers and Guidelines for Policy Cooperation1 Anton Korinek JohnsHopkinsUniversityandNBER Presentation at the IMF 15th Jacques Polak Annual Research Conference November 2014 1 FinancialsupportfromtheIMFResearchFellowshipandINET/CIGIaregratefullyacknowledged. AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 1/26 Motivation In a globalized world, national economic policies frequently create international spillover effects Examples: capital flow management, exchange rate stabilization, quantitative easing, devaluation policies, etc. → concerns about “global currency wars” Main Questions When are spillovers from national economic policymaking inefficient? Which global “rules of the road” guarantee efficient outcomes? AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 2/26 Main Contribution Key Contribution 1: Develop an efficient benchmark: Spillover effects of unilateral policymaking are efficient as long as: 1 policymakers act competitively 2 policymakers have complete external instruments 3 no imperfections in international market → Examples of efficient unilateral intervention: currentaccountmanagementinaliquiditytrap exchangerateinterventiontoinsurethetradablesector reserveaccumulationtointernalizelearningexternalities all these policies generate efficient spillovers AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 3/26 Main Contribution Key Contribution 2: Provide guidelines for cooperation Role for cooperation is limited to deviations from benchmark: 1 ensuring competitive behavior 2 dealing with incomplete/imperfect policy instruments createnew/betterinstruments useexistinginstrumentsmoreefficiently 3 addressing imperfections in international markets correctmarketimperfections useexistingmarketsmoreefficiently AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 4/26 Setup of Baseline Model Countries i = 1,...N of mass ωi with (cid:80) ωi = 1 i Policymaker and unit mass of domestic agents obtain utility Ui(xi) s.t. fi(xi,Xi,mi,Mi,ζi,Zi) ≤ 0 Q ·mi ≤ Ti 1−τi xi,Xi ... bundleofdomesticvariables mi,Mi ... bundleofinternationaltransactions (upper-casevariablesdenotecountryaggregates) ζi ... bundleofdomesticpolicies Zi ... bundleofexogenousparameters Q ... vectorofworldmarketpricesofmi,Mi τi isfullsetoftaxinstrumentsonintltransactionsrebatedviaTi AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 5/26 Setup of Baseline Model Countries i = 1,...N of mass ωi with (cid:80) ωi = 1 i Policymaker and unit mass of domestic agents obtain utility Ui(xi) s.t. fi(xi,Xi,mi,Mi,ζi,Zi) ≤ 0 Q ·mi ≤ Ti 1−τi xi,Xi ... bundleofdomesticvariables mi,Mi ... bundleofinternationaltransactions (upper-casevariablesdenotecountryaggregates) ζi ... bundleofdomesticpolicies Zi ... bundleofexogenousparameters Q ... vectorofworldmarketpricesofmi,Mi τi isfullsetoftaxinstrumentsonintltransactionsrebatedviaTi AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 5/26 Examples Example 1: Canonical open economy macro model: (cid:88) max βtu(ci) s.t. ci +(1−ξi)bi /R = yi +bi t t t t+1 t+1 t t (ci,bi ) t t+1 i t Mapping: define net imports mi = ci −yi = bi −bi /R t t t t t+1 t+1 domestic variables xi = {ci} t state variables Zi = {yi}, domestic policies ζi = ∅ t world market prices Q = 1/Πt R t s=0 s+1 external policy instruments (1−τi) = 1/Πt (1−ξi ) t s=1 s+1 → utility Ui(xi) = (cid:80) βtu(ci) t t → constraints fi(·) = ci −yi −mi ≤ 0 ∀t t t t t AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 6/26 Examples Example 1: Canonical open economy macro model: (cid:88) max βtu(ci) s.t. ci +(1−ξi)bi /R = yi +bi t t t t+1 t+1 t t (ci,bi ) t t+1 i t Mapping: define net imports mi = ci −yi = bi −bi /R t t t t t+1 t+1 domestic variables xi = {ci} t state variables Zi = {yi}, domestic policies ζi = ∅ t world market prices Q = 1/Πt R t s=0 s+1 external policy instruments (1−τi) = 1/Πt (1−ξi ) t s=1 s+1 → utility Ui(xi) = (cid:80) βtu(ci) t t → constraints fi(·) = ci −yi −mi ≤ 0 ∀t t t t t AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 6/26 Examples Other Examples: multiple traded goods: mi = (mi ) with k = 1...K t,k multiple states of nature: mi = (mi ) with s ∈ S t,s non-traded goods: xi = (ci ,ci ,yi ) and fi = yi −ci T,t N,t N,t t,2 N,t N,t labor: xi = (ci,(cid:96)i) and Ui(xi) = (cid:80) (cid:2)u(ci)−d((cid:96)i)(cid:3) t t t t t capital: xi = (ci,ki) and fi includes law of motion t t t domestic market imperfections → capture in fi(·) multiple types of agents, political preferences → capture in Ui(xi) → framework nests a wide range of open economy macro models AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 7/26 Solution Step 1 Lemma (Separability) Given the complete external policy instruments, we can separate the domestic and international optimization problems. Step 1: optimal domestic allocation for given external (mi,Mi) representative agent optimizes domestic policymaker optimizes → defines reduced-form utility function Vi(mi,Mi) Example (baseline model): Vi(mi,Mi) = (cid:80) βtu(yi +mi) t t t AntonKorinek (JHU) SpilloversandPolicyCooperation IMFARC2014 8/26
Description: