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New York Fed Dsge Model: The Circularity Of Productivity Shocks

The New York Federal Reserve has published the Dynamic Stochastic General Equilibrium (DSGE) model it uses to hit forecasts, in a staff report, as well as a 5-part serial on the Liberty Street Economics blog. It provides an introduction to a modern DSGE model. The analysis they supply of the deportment of the model during the financial crisis illustrates the inherent weakness of the DSGE modelling assumptions, every bit the effect of financial policy is assumed out of existence, as well as besides much importance is attached to Total Factor Productivity (TFP) shocks.

Background


The researchers at the New York Fed bring made populace the forecasts of their DSGE model, which are available since 2010. (The electrical current version of the model was presumably changed every bit a final result of the financial crisis.) The model is described inwards exceptional inwards the previously linked working paper, it was authored yesteryear Marco Del Negro, Stefano Eusepi, Marc Giannoni, Argia Sbordone, Andrea Tambalotti, Matthew Cocci, Raiden Hasegawa, as well as M. Henry Linder. That staff newspaper is fairly technical, as well as at that spot is a serial of v spider web log posts which gives a less formal introduction (link to the firstly post; you lot tin footstep through the articles).

The researchers at the New York Fed recognise that DSGE models bring limitations, as well as they beak over some of the criticisms. They concluded the firstly article with:

 DSGE models inwards full general as well as the FRBNY model inwards exceptional bring huge margins for improvement. The listing of flaws is long, ranging from the lack of heterogeneity (the models assume a representative household) to the unsmooth representation of financial markets (the models bring no term premia). Nevertheless, nosotros are sticking our necks out as well as showing our forecasts, non because nosotros cry upward nosotros bring a “good” model of the economy, but because nosotros desire to bring a populace tape of the model’s successes as well as failures. In doing so, nosotros tin larn from both our yesteryear functioning as well as readers’ criticism. The model is a piece of work inwards progress. Hopefully, it tin live improved over time, guided yesteryear electrical current economical as well as policy questions as well as benefiting from developments inwards economical theory as well as econometric tools. 
They beak over the forecasting tape since 2010. On a rattling brusk horizon ("nowcasting"), DSGE models underperform consensus economic science forecasts. But on longer horizons, they practise better. With regard to the New York Fed model inwards particular, it had (correctly) forecast a to a greater extent than sluggish recovery than the consensus since 2010.

Explaining The Financial Crisis


I may render to other beak over other aspects of this model later, but I desire to merely expect at 1 theme of involvement here. In the 3rd percentage of their spider web log articles, Developing a Narrative: The Great Recession as well as Its Aftermath, they analyse the causes of the "Great Recession".

Their model allows for a broad issue of disturbances, or "shocks" to the economy. But 4 types of shocks are constitute to live dominant:

  1. total element productivity shocks;
  2. financial (spread) shocks;
  3. investment demand shocks;
  4. monetary policy shocks (including forwards guidance).
They summarise the kickoff of the Great Recession every bit follows:


The firstly characteristic of this decomposition that nosotros desire to highlight is the paramount importance of spread shocks (in purple) during the recession. Starting at the terminate of 2007, the economic scheme experiences a sequence of large shocks to credit spreads, driven yesteryear an increment inwards the perceived riskiness of borrowers. (...) These needlelike increases inwards the toll of credit describe of piece of work organization human relationship for a spend upward inwards quarterly gross domestic product growth of to a greater extent than than v percent points (annualized), which is almost one-half of the total drib inwards output growth at the nadir of the recession. (...) 
        The other one-half of the spend upward inwards gross domestic product growth inwards 2008 stems from pregnant declines inwards TFP (the ruby-red bars). As nosotros already pointed out, TFP shocks bring permanent effects on the productive capacity of the economic scheme inwards our framework, suggesting that the recession caused some lasting damage. However, the negative shocks of 2008 are followed yesteryear positive shocks, amongst the ruby-red bars primarily contributing to gross domestic product growth. As a result, the grade of TFP, as well as so of potential output inwards our model, emerges largely unscathed at the acquaint time. 
Except From The Working Paper: The FRBNY DSGE Model, Figure 12.
The text refers to the bars inwards the inwards a higher house diagram; the ruby-red bars are the Total Factor Productivity shocks, as well as the royal bars are the credit spread shocks. I volition focus on these 2 shocks.


Fiscal Policy Is Absent

As I noted inwards an before post, the effect of financial policy is assumed out of existence. In Section 2.2, the authors note:
Fiscal policy is fully Ricardian as well as so that the timing of taxes does non touching on the equilibrium.
The effect of this supposition is that the financial automatic stabilisers are embedded into the model of the economic scheme (made endogenous, inwards economist-speak). As a result, the economic scheme appears to live stable, as well as it is merely temporarily knocked away from equilibrium yesteryear random "shocks".

As long every bit the automatic stabilisers are gratis to operate, 1 tin presumably acquire away amongst this supposition - although you lot terminate upward missing a lot. But if vandals blast the automatic stabilisers - such every bit Euro surface area policymakers - the economic scheme is going to collapse inwards a way that the model cannot promise to simulate.

Credit Shock - Reasonable, But Not Too Useful


The credit daze appears reasonable - the lockdown of the credit markets volition bring eventually been damaging for growth. The job I meet is that the credit markets near downwardly for a reason, as well as that is because borrowers became over-extended. Slowing growth made debt service rattling hard for many. As a result, the credit weakness was at to the lowest degree partially a outcome of tedious growth,

Anyone who follows inwards the tradition of Hyman Minsky cannot persuasion the seizure of credit markets every bit "random"; it was an inevitable outcome of widespread Ponzi finance.

Total Factor Productivity Shock - What It Is


Total Factor Productivity (TFP) has a long, complicated name, but it is viewed every bit of import inside economics. It has a long refer every bit it has to live distinguished from the to a greater extent than mutual term productivity.
  • Productivity is the amount of output produced per unit of measurement of fourth dimension (for example, per hour) yesteryear workers. Rising productivity agency that the output per hr per worker is rising.
  • Total Factor Productivity (TFP) is a variable which determines the productivity of workers for a fixed amount of capital. Increasing TFP amongst the same issue of hours of labour as well as the same amount of uppercase volition increment the output,
The telephone substitution distinction is that nosotros tin heighten productivity yesteryear adding uppercase ("capital deepening" is the pop description). That is, giving gardeners roto-tillers instead of shovels. By increasing TFP, it is possible to increment the efficiency of utilisation of labour as well as capital. Increasing TFP is by as well as large associated amongst technology as well as technique improvements over time, as well as it is oftentimes treated every bit the solely "free lunch" inwards economics.

But at that spot is a catch. Total Factor Productivity is solely a prophylactic concept to expect at inwards the long term. Its cyclical deportment is less obvious.

If all workers were describe employees for manufacturers, its move would likely live safe. (The shape of the production percentage used inwards DSGE models is largely equivalent to this situation.)  Even if describe of piece of work organization sector sales are down, output would live unaffected, all that would tumble out is that businesses would bring an unplanned rising inwards inventories. Since rising inventories are a shape of investment inside GDP, this agency that measured output is non affected yesteryear falling demand. Total element productivity would non live changed.

Unfortunately, this logic falls apart inwards the existent world.
  • In services as well as utilities, the amount of output depends upon the amount demanded, acre the issue of employees is essentially fixed at the kickoff of the analysis period. Businesses volition non trim occupation until it is clear that they are non longer needed.
  • Even inwards manufacturing - where output tin acquire into inventory - businesses bring a large issue of employees that are non involved straight inwards production (for example, managers, sales, accountants). They tin trim hours on the assembly describe relatively chop-chop (by cutting overtime), but they volition non acquire after reducing their salaried employees until it is clear that at that spot is a need. This agency that firm-wide occupation volition non drib every bit much every bit production.
To laissez passer on a uncomplicated example, imagine a restaurant. At the kickoff of the day, a for sure issue of waiters volition live given shifts. If a lot of customers walk in, those waiters volition live rattling busy, as well as the output of the eatery per waiters volition live high. The waiters are "productive". But if at that spot are no customers, the waiters volition live standing to a greater extent than or less doing rattling little, as well as so are "unproductive". But it makes no feel to say that the depression productivity of the waiters caused the lack of customers, as well as so lower eatery "output". Productivity falls, "in the brusk run", at least, inwards answer to demand.

 The New York Federal Reserve has published the Dynamic Stochastic General Equilibrium  New York Fed DSGE Model: The Circularity of Productivity Shocks

This analysis shows upward inwards the data. The nautical chart inwards a higher house shows a proxy for productivity - existent gross domestic product per worker. (Since the size of the uppercase stock changes fairly slowly, the divergence betwixt Total Factor Productivity as well as productivity is express inwards the brusk term.) As the recession hit, output cruel faster than the issue of workers. This dropped the existent gross domestic product per worker (that is, productivity) below its previous trend, However, 1 time the C-suite started axing employees, the output-per-worker started rising rapidly, as well as regained its previous trend.

As nosotros tin see, explaining the recession yesteryear falling productivity is equivalent to maxim that falling output caused the recession. This is solely a restatement of the Definition of a recession. We postulate to expect at what factors caused the falling output, as well as that agency nosotros bring to expect beyond DSGE models as well as their too-flexible productivity.

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(c) Brian Romanchuk 2014

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