SLIDE 1 The Economic Ripple Effects of COVID-19
Francisco J. Buera1 Roberto N. Fattal-Jaef2 Hugo Hopenhayn 4
Yongseok Shin 1
1Washington University in St. Louis 2World Bank 3Universidad Torcuato Di Tella 4UCLA
Universidad Torcuato Di Tella June 3, 2020
SLIDE 2 Motivation
- COVID+non-pharmaceutical interventions (NPIs):
⊲ largest (transitory ?) aggregate shock since... ⊲ more permanent reshuffling of what/how we consume
⊲ Ripple effects of a LARGE transitory shock, e.g., Lockdown? ⊲ Ripple effects of a pure reallocation shock? ⊲ How effects depend on policies/institutions?
SLIDE 3
Motivation: How Bad, For How Long?
SLIDE 4
Motivation: How Bad, For How Long?
SLIDE 5
Motivation: Neoclassical Dynamics of Lockdown
SLIDE 6 Related Literature
- See NBER Working Papers 26867-27281
SLIDE 7 This Paper
- Heterogeneous Agents model
⊲ occupational choices ⊲ stochastic ability zt =
with prob. ψt z ∼ 1 − z−η
⊲ credit friction: collateral constraints, kt ≤ λat ⊲ labor friction: matching friction w/ rest unemployment
- Deterministic dynamics following unanticipated shocks:
⊲ Lock-down: fraction φ of all firms becomes Non-Essential (shut-down). ⊲ Reallocation shock: 10% of individuals redraw their productivity, 0.87 = ψ1 < ψ = 0.97
- Buera, Fattal-Jaef & Shin (2015)+ (simple version of) Alvarez & Shimer (2011)
SLIDE 8 Roadmap
- Analyze macro and micro implicatons of:
- 1. one-period lockdown shock, three cases:
1.1 non-essential firms have no income, liable for rental/debt payments (baseline) 1.2 also liable for wage payments, i.e., no wage subsidies/furloughs 1.3 small open economy with tighter credit constraints...
- 2. Pure reallocation shock...
SLIDE 9 Agent’s Optimization Problem: Essential
vt (z, a) = maxa′,oc
1 − σ + βEvt+1
- z′, a′
- ct + at+1 = max {wt, πt (z, at; rt, wt)} + (1 + rt) at − Tt
where πt (z, a; r, w) = max
k,l zkαlθ − (rt + δ) k − wtl
subject to k ≤ λa
- Full replacement unemployment insurance: wt
- Lump-sum taxes with budget balance, Tt = wtUt
SLIDE 10 Agent’s Optimization Problems: Non-Essential
vNE
1
(z, a) = maxa′
1 − σ + βEv2
- z′, a′
- c1 + a2 = − (r + δ) k1− + (1 + r1) a1 − T1
- Workers
vW
1 (z, a) = maxa′
1 − σ + βEv2
- z′, a′
- c1 + a2 = w1 + (1 + r1) a1 − T1
- Non-essential entrepreneurs only pay rental cost, − (r + δ) k1−
⊲ employment at will (US) or generous government wage subsidies (Europe)
- non-essential become essential for t ≥ 2
SLIDE 11 Labor Market Friction
- Mt unemployed workers matched to the hiring market
Mt = γ (Ut + JDt)
- Evolution of Unemployment
Ut+1 = Ut + JDt − Mt
JDt =
- [max {l−1 − lt (a, z) , 0}]
- dG E
t + dG NE t
- + exiting entrep.
- Walrasian Hiring Market Clearing
- lt(a,z)>0 [1 + lt (a, z)]
- dG E
t + dG NE t
= 1 − Ut+1
SLIDE 12 Labor Market Friction with Rest Unemployment
- non-essential workers are not reallocated in the first period
- but can be rehired frictionlessly by their previous employers in the second
period
⊲ only by surviving firms ⊲ if their net-worth constraint does not bind
SLIDE 13 Labor Market Friction with Rest Unemployment
- Mt unemployed workers matched to the hiring market
M1 = γ (U1 + JD1 − R1) M2 = γ (U2 + JD2 − RH2) where R1 = job destruction by surviving non-essential firms in t = 1 and RH2 = ψ
- l0>0 max {min {l2 (a, z) , l0} − l1, 0} dG NE
2
⊲ i.e., job destruction by non-essential can be re-hired the following period
- Evolution of Unemployment
U2 = U1 + JD1 − M1 U3 = U2 + JD2 − M2 − RH2
SLIDE 14 Calibration Strategy
- Parameter values set to match
⊲ distribution and dynamics of U.S. establishments ⊲ unemployment rate in U.S. (γ) ⊲ external finance to fixed capital in non-corporate sector in U.S. (λ)
◮ also calibration to external finance in developing countries
SLIDE 15 Roadmap
- Analyze macro and micro implicatons of:
- 1. one-period lockdown shock, three cases:
1.1 non-essential firms have no income, liable for rental/debt payments (baseline) 1.2 also liable for wage payments, i.e., no wage subsidies/furloughs 1.3 small open economy with tighter credit constraints...
- 2. Pure reallocation shock...
SLIDE 16 The Lock-Down Shock
- Start from stationary allocation
- Unexpected shock: fraction φ of businesses considered Non-Essential
⊲ magnitude and persistence of φ still open question ⊲ assume φ = 0.3 , 1-period shock →emphasize model’s propagation ⊲ shock realized after occupation and factor demand decisions, but before production
- two assumptions about labor costs in the first period:
⊲ are not paid by the firm, e.g., wage subsidies (Europe), furlough (US) ⊲ firm must paid wage bill
SLIDE 17 Propagation Forces
- 1. Burst of job destruction+matching friction → rise in Unemployment
- 2. Imperfect insurance → heterogeneous effect on net-worth
- 3. Financial Frictions → TFP, investment, rehiring dynamics
SLIDE 18 Roadmap
- Analyze macro and micro implicatons of:
- 1. one-period lockdown shock, three cases:
1.1 non-essential firms have no income, liable for rental/debt payments (baseline) 1.2 also liable for wage payments, i.e., no wage subsidies/furloughs 1.3 small open economy with tighter credit constraints...
- 2. Pure reallocation shock...
SLIDE 19
Lockdown: Aggregate Variables I
SLIDE 20
Lockdown: Aggregate Variables II
SLIDE 21
Micro Implications I: Employment by Age
Young: less than 5 year old
SLIDE 22
Micro Implications II: Consumption
SLIDE 23
Lockdown: Role of Rest Unemployment
SLIDE 24 Roadmap
- Analyze macro and micro implicatons of:
- 1. one-period lockdown shock, three cases:
1.1 non-essential firms have no income, liable for rental/debt payments (baseline) 1.2 also liable for wage payments, i.e., no wage subsidies/furloughs 1.3 small open economy with tighter credit constraints...
- 2. Pure reallocation shock...
SLIDE 25
No Wage Subsidies: Aggregate Variables I
SLIDE 26
No Wage Subsidies: Aggregate Variables II
SLIDE 27
Micro Implications: Employment by Age
Young: less than 5 year old
SLIDE 28 Roadmap
- Analyze macro and micro implicatons of:
- 1. one-period lockdown shock, three cases:
1.1 non-essential firms have no income, liable for rental/debt payments (baseline) 1.2 also liable for wage payments, i.e., no wage subsidies/furloughs 1.3 small open economy with tighter credit constraints...
- 2. Pure reallocation shock...
SLIDE 29
Small Open Economy: Aggregate Variables I
SLIDE 30 Roadmap
- Analyze macro and micro implicatons of:
- 1. one-period lockdown shock, three cases:
1.1 non-essential firms have no income, liable for rental/debt payments (baseline) 1.2 also liable for wage payments, i.e., no wage subsidies/furloughs 1.3 small open economy with tighter credit constraints...
- 2. Pure reallocation shock...
SLIDE 31 Pure Reallocation Shock
- Start from stationary allocation
- Unexpected shock: 10% of individuals redraw their productivity,
0.87 = ψ1 < ψ = 0.97
⊲ ∼ 10% of old businesses need to be replace by new ones ⊲ in a neoclassical world there are no aggregate consequences ⊲ process slow by financial and labor frictions
- It captures more permanent reshuffling of what/how we consume/produce
⊲ online person academic/business conference ⊲ changes in type of recreation and vacations
SLIDE 32
Pure Reallocation Shock: Aggregate Variables I
SLIDE 33
Pure Reallocation Shock: Aggregate Variables II
SLIDE 34 Summary of Results
- 1. Fast aggregate recovery (with wage support/flexible employment & rest)
- 2. but large, persistence effects for young firms
- 3. fall of interest rate (∆ aggregate demand<∆ aggregate supply)
- 4. large ripple effect without wage support/inflexible employment
- 5. capital outflows from financially underdeveloped, small open economies
SLIDE 35 Work in Progress, Further Extensions
- Distribution of welfare costs
⊲ Who gain from wage subsidies, milder ripple effects?
- Lockdown of different duration
⊲ Are cost convex in the length?
- Capital irreversibility, Kt+1 ≥ (1 − δ) Kt
⊲ Extension relevant for the case without wage subsidy, SOE with tighter credit constraint ⊲ Initial drop in the price of capital, further tighten constraints, e.g., Kiyotaki & Moore (1997)
- Debt financed support policies
⊲ Further depress investment ⊲ Ameliorate initial fall in consumption of constrained agents