The Holy Grail of a decentralised stablecoin is achieved on rigorous mathematical frameworks, obtaining multiple advantageous proofs: stability, convergence, truthfulness, faithfulness, and malicious-security. These properties could only be attained by the novel and interdisciplinary combination...

This paper aims at providing macroeconomists with a detailed exposition of the New Keynesian DSGE model. Both the sticky price version and the sticky information variant are derived mathematically. Moreover, we simulate the models, also including lagged terms in the sticky price version, and...

Markov-switching rational expectations (MSRE) models can yield fresh insights beyond what linear rational expectations (LRE) models have done for macroeconomics, as Davig and Leeper (2007) and Farmer, Waggoner and Zha (2009), among others, have noted and predicted. A lack of tractable...

Giannoni and Woodford (2003) found that the equilibrium determined by commitment to a super-inertial rule (where the sum of the parameters of lags of interest rate exceed ones and does not depend on the auto-correlation of shocks) corresponds to the unique bounded solution of Ramsey optimal...

This paper investigates the identification, the determinacy and the stability of ad hoc, "quasi-optimal" and optimal policy rules augmented with financial stability indicators (such as asset prices deviations from their fundamental values) and minimizing the volatility of the policy interest...

We develop a new method for computing minimal state variable solutions (MSV) to Markov-switching rational expectations models. We provide an algorithm to compute an MSV solution and show how to test a given solution for uniqueness and boundedness. We construct an example that is calibrated to...

With non-controllable auto-regressive shocks, the welfare of Ramsey optimal policy is the solution of a single Riccati equation of a linear quadratic regulator. The existing theory by Hansen and Sargent (2007) refers to an additional Sylvester equation but miss another equation for computing the...

Exploiting a specific sunspot equilibrium in a standard forward-looking New Keynsian model, we present an example of a possible conflict between short-term price stability and financial stability. We find a conflict because the sunspot process consists of a self-fulfilling belief linking the...

Using US data, we estimate optimal policy with a probability below one that the Fed reneges on its commitment ("limited credibility") versus discretionary policy where the Fed reneges on its commitment at all periods with a probability equal to one ("zero credibility"). The transmission...