A new concept for financial stability
In this paper, Akinci et al. propose a complementary concept to r*, the “natural real interest rate,” which they call the “financial stability real interest rate, r**,” and which denotes the underlying level of real interest rate that might generate financial instability dynamics. Both conceptually and observationally r** differs from the “natural real interest rate” and from the observed real interest rate as it reflects a tension in terms of macroeconomic stabilization versus financial stability objectives.
They develop a model where some agents in the economy face a credit constraint that gives rise to debt-deflation or asset fire-sale dynamics. The credit constraint is only occasionally binding which implies that the economy is characterized by two states: when the constraint is not binding the economy is in a normal state or tranquil period; when the constraint binds the economy is in a crisis mode and a financial instability dynamic arises. The financial stability real interest rate is the interest rate that would be consistent with the constraint being binding. Their model:
- Can account for the fact that credit spreads display occasional spikes and captures the asymmetric relationship between credit spreads and economic activity;
- Shows that during a period of financial stress, r** stands below the natural real interest rate. This suggests that, under these circumstances, a policy rate that tracks the natural real interest rate leads to financial instability. Moreover, prolonged period of low real interest rate leads eventually to an increase in leverage of the banking sector and a lower level of the financial stability real interest rate.
Finally, they provide a measure for r** for the US economy: they show that the level of spreads is tightly associated with r**, and more precisely with the gap between r** and the real rate r, especially during episodes of financial stress.

The Financial (In)Stability Real Interest Rate, R**
Authors: Ozge Akinci, Gianluca Benigno, Marco Del Negro, Albert Queralto
From: Federal Reserve Bank of New York
A new model of financial vulnerability
In this paper, Adrian et al. argue that even when risks of financial crises are small, macro-financial linkages can have first order impacts on macroeconomic outcomes, particularly on the downside. They use a microfounded New Keynesian model which explicitly models the link of financial vulnerability to downside risks of GDP, in order to understand to what extent optimal monetary policy should take such downside risks into account.
Monetary policy affects output directly via the intertemporal substitution of savings, and also via the pricing of risk that relates to the tightness of the value at risk constraints. The optimal monetary policy rule always depends on financial vulnerability in addition to the output gap, inflation, and the natural rate. We show that a classic Taylor rule exacerbates deviations of the output gap from its target value of zero relative to an optimal interest rate rule that includes vulnerability. The model provides a microfoundation for optimal monetary policy that takes financial vulnerability into account.
Financial Vulnerability and Monetary Policy
Authors: Tobias Adrian, Fernando Duarte
From: IMF, Brown University