A Macroeconomic
Model with a Financial Sector
Markus K. Brunnermeier and Yuliy Sannikov
American Economic Review, 2014,
104(2): 379-421
http://da.doi.org/10.1257/aer.104.2.379
- the financial friction for the business cycles
- Financial stability
- How resilient is the financial system to
various shocks?
- At what point does the system enter a civic regime,
the same that market volatility, credit speed, and financing activity change
drastically?
- To what extent is risk exogenous, and to what
extent is it generated by the interactions within the system? How does one
quantity systemic risk?
- Does financial innovation really destabilize
the financial system?
- How does the system report to various
policies, and how policies affect spillovers and welfare?
Temporary shocks can have persistent effects
on economic activity as they affect the net worth of levered agents. Net worth
takes time to rebuild.
Financial frictions lead to the amplification
of shocks, directly through leverage and indirectly through prices. Thus, small
shocks can have potentially large effects on the economy. The amplification
through prices works through adverse feedback loops, as declining net worth of
levered agents’ net worth.
Allow the length of the slump to be uncertain.
Solve for full dynamics of the model using continuous-time
methodology and find a sharp distinction between normal times and civic episodes
.
Two types of agents: productive experts and
less productive households
The system’s reaction to shocks is highly nonlinear
Getting closes to the steady state, shocks
have smaller effect.
The system’s reaction to shocks is asymmetric.
Positive shocks of the steady state lead to
larger payouts and little amplification, while large negative shocks are amplified
into civic episodes resulting in significant inefficiencies, disinvestment, and
slow recovery
Endogenous risk dominates the volatility
dynamics and affects the experts’ precautionary motive.
The extent and length of slumps is stochastic
After moving through a high-volatility region,
the system can get tapped for some time in a recession with low growth and
misallocation of resources. The stationary distribution is U-shaped.
Financial innovation that allows experts to
hedge their idiosyncratic risk can be self-defeating, as it leads high systemic
risk.
Purpose of
the paper: financial regulation
“Our model argues in favor of countercyclical
regulation that encourages financial constitutions to retain earnings and build
up capital buffers in good times and that releases constraints in down turns”
“Our model makes a strong care in favor of
macro-prudential regulation. For example, regulation that restricts payouts (such
as dividends and bonus payments) should depend primarily on aggregate net worth
of all intermediaries. That is, even if same of the intermediaries are well
capitalized, allowing them to payout dividends can destabilize the system of
others are undercapitalized.”
The economy is prone to instability regardless
of the level of aggregate risk because leverage and risk taking are endogenous.
As aggregate risk goes down, equilibrium leverage goes up, and amplification
loops in civic regimes become more severe: a volatility paradox. Owing to the
volatility paradox, the Kocherlakota critique does not apply in our model: in
fact amplification in crisis can be unbounded in low-volatility environments. In
an environment with idiosyncratic and aggregate risks, equilibrium leverage
also increases with diversification and with financial instruments that facilitate
the hedging of idiosyncratic risk. Thus paradoxically, tools designed to better
manage risks may increase systemic risk.