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Authorized for public release by the FOMC Secretariat on 1/10/2020

BOARD

OF

GOVERNORS

OF THE

FEDERAL RESERVE SYSTEM

DIVISION OF MONETARY AFFAIRS
FOMC SECRETARIAT

Date:

December 5, 2014

To:

Federal Open Market Committee

From:

Matthew M. Luecke

Subject: DSGE Models Update

The attached memo provides an update on the projections of the DSGE
models.

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System DSGE Project Forecasts
December 5, 2014

Mike Dotsey, Pablo Guerron, Keith Sill1
Federal Reserve Bank of Philadelphia

1

We thank Andrea Tambalotti, Marco Del Negro, and Bora Durdu for their contributions, Argia Sbordone for
comments, and Brie Coellner for assistance.

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This memo describes the economic forecasts for three of the four models that are currently
part of the System project on dynamic stochastic general equilibrium (DSGE) models. These are
the EDO (Board), PRISM (FRB Philadelphia), and FRBNY models. We first give a summary of
the model forecasts and then provide each model’s forecasts in greater detail.

Summary of Model Forecasts

The current forecasts for real GDP growth, core PCE inflation, and the federal funds rate, as
well as those presented at the September FOMC meeting, are displayed in the table and figures at
the end of this summary section. These forecasts were obtained using actual data through
2014Q3 and conditioning assumptions or “nowcasts” for 2014Q4, where the nowcast
assumptions for 2014Q4 vary slightly across the models depending on their source (Board staff,
FRBNY staff, and Macroadvisers forecasts for EDO, the FRBNY model, and PRISM,
respectively). The models differ somewhat in their assumptions on federal funds rate
expectations. FRBNY and PRISM assume funds rate expectations that are consistent with market
expectations through 2015Q2. EDO assumes funds rate expectations that are consistent with
market expectations through 2017Q2.

The three forecasts share a similar underlying story: gaps in economic activity have not yet
closed, which implies that inflation is projected to remain below mandate consistent levels
throughout the forecast horizon. The models also generally agree on the reason why gaps are still
open: past shocks to financial conditions –so-called headwinds – have a lasting effect on the
economy by continuing to restrain demand and, in particular, investment. Where the models
differ is in the projected speed at which gaps will close, with PRISM forecasting a relatively
robust growth of the economy while EDO and especially FRBNY foresee a much slower pace of
the recovery.

Compared to September, PRISM and FRBNY show little change in their projections for
output growth over the next three years, with PRISM forecasting annual growth of about 4
percent and FRBNY forecasting annual growth of about 2 percent. The EDO forecast is marked

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up a bit to 3 percent in 2015 and down to 2.6 percent in 2016 and 2017. Averaging across the
models, output growth is 3 percent in 2015 and 2.8 percent in 2016 and 2017. The inflation
forecasts are, on average, slightly lower than they were in September and reflect the lower-thanexpected realization on core inflation for 2014Q3. Core inflation is projected to remain below
mandate consistent levels over the next 3 years, rising from 1.6 percent in 2014 to 2 percent at
the end of 2017.
The forecasts for the federal funds rate are little changed from September. EDO’s path
remains constrained at market expectation through mid-2017, while PRISM and FRBNY
constrain the path of the funds rate only through 2015Q2. To the extent they bind, market
expectations hold the funds rate below the level implied by the models’ estimated rules.
Beginning in 2015Q3, PRISM’s strong growth and rising inflation lead to a rapid pace of
renormalization, with the funds rate rising to 3.3 percent by the end of 2017. Consistent with its
weaker fundamentals, FRBNY shows instead a more gradual re-normalization as the funds rate
reaches 2.3 at the end of 2017.

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Forecasts

Dec
2.1
(2.1,2.1)
2.1
(2.1,2.1)
2.2

Sep
2.0
(0.2,3.5)
1.9
(1.2,2.4)
2.2

Output Growth (Q4/Q4)
2015
2016
Dec
Sep
Dec
Sep
3.0
2.5
2.6
3.1
(-0.3,6.4) (0.2,5.2) (1.0,4.3) (1.1,4.8)
2.0
2.0
1.9
1.7
(-0.9,4.1) (-1.1,4.5) (-1.4,4.9) (-1.5,4.9)
4.0
3.8
4.0
3.8

(2.2,2.2)

(1.6,2.9)

(0.8,7.2)

(0.6,7.3)

(0.5,7.7)

(0.5,7.7)

(0.1,7.6)

(-0.5,7.3)

2.1

2.2

3.0

2.5

2.6

3.1

2.6

3.2

Model
EDO - Board
of Governors
New York
Fed
PRISM Philadelphia
Fed
Median
Forecast*

Model
EDO - Board
of Governors
New York Fed
PRISM Philadelphia
Fed
Median
Forecast*

Model
EDO - Board
of Governors
New York Fed

2014

2017
Dec
2.6
(0.8,4.6)
1.9
(-1.4,5.2)
3.8

Sep
3.2
(1.0,5.1)
1.8
(-1.3,5.1)
3.7

2014
Dec
Sep
1.6
1.6
(1.6,1.6) (1.5,1.7)
1.6
1.6
(1.6,1.6) (1.4,1.7)
1.5
1.7

Inflation (Q4/Q4)
2015
2016
Dec
Sep
Dec
Sep
1.5
1.6
1.6
1.7
(1.0,2.0)
(1.0,2.1) (1.0,2.3) (1.0,2.4)
1.2
1.4
1.5
1.7
(0.6,1.8)
(0.7,2.0) (0.8,2.2) (0.9,2.4)
1.5
1.7
1.8
1.9

2017
Dec
Sep
1.8
1.8
(1.2,2.5) (1.1,2.6)
1.8
1.9
(1.0,2.6) (1.1,2.7)
1.9
1.9

(1.5,1.5)

(1.5,2.0)

(0.2,2.8)

(0.3,3.1)

(0.2,3.5)

(0.2,3.6)

(0.2,3.7) (0.2,3.7)

1.6

1.6

1.5

1.6

1.6

1.7

2014
Dec
0.1
(0.1,0.1)
0.1
(0.1,0.1)
0.1

Sep
0.1
(0.0,0.6)
0.1
(0.1,0.6)
0.1

Federal Funds Rate (Q4)
2015
2016
Dec
Sep
Dec
Sep
0.7
0.7
1.5
1.5
(0.0,1.9)
(0.0,2.4) (0.1,3.2) (0.0,3.6)
0.8
1.0
1.5
1.8
(0.2,1.7)
(0.3,2.0) (0.5,2.8) (0.7,3.1)
1.3
1.6
2.6
2.9

1.8

1.9

2017
Dec
Sep
2.0
2.3
(0.4,3.9) (0.4,4.0)
2.3
2.6
(0.9,3.7) (1.1,4.0)
3.3
3.4

PRISM Philadelphia
(0.1,0.1) (-0.4,0.6) (-0.2,2.8) (0.0,3.4) (0.3,5.0) (0.2,5.4) (0.4,6.1)
Fed
Median
0.1
0.1
0.8
1.0
1.5
1.8
2.3
Forecast*
For each individual forecast, the numbers in parentheses represent 68% confidence bands.
* The median forecast is calculated as the median of the Q4/Q4 projections from the forecasters.

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(0.4,6.2)
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Real GDP Growth
6
4

Percentage (SAAR)

2
0
-2
-4
-6
-8
-10
08Q1 08Q3 09Q1 09Q3 10Q1 10Q3 11Q1 11Q3 12Q1 12Q3 13Q1 13Q3 14Q1 14Q3 15Q1 15Q3 16Q1 16Q3 17Q1 17Q3
New York

EDO

PRISM

Core PCE Inflation
3

Percentage (SAAR)

2.5

2

1.5

1

0.5

0
08Q1 08Q3 09Q1 09Q3 10Q1 10Q3 11Q1 11Q3 12Q1 12Q3 13Q1 13Q3 14Q1 14Q3 15Q1 15Q3 16Q1 16Q3 17Q1 17Q3
New York

EDO

PRISM

Federal Funds Rate
6

5

Percentage

4

3

2

1

0
08Q1 08Q3 09Q1 09Q3 10Q1 10Q3 11Q1 11Q3 12Q1 12Q3 13Q1 13Q3 14Q1 14Q3 15Q1 15Q3 16Q1 16Q3 17Q1 17Q3
New York

EDO

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PRISM

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Detailed Descriptions of Individual Model Forecasts
The EDO Model
On average, the EDO model projects real GDP growth moderately higher than its trend of 2.7
percent in 2015. Thereafter, real GDP growth hovers around its trend. The unemployment rate
rises to 6.1 percent by the end of 2015 and stays at that level through the end of 2017. Inflation
runs below the Committee’s 2 percent objective, averaging around 1.6 percent over the next
three years. In this forecast, the funds rate path through 2017:Q2 is consistent with market
expectations, which indicate that private agents do not expect the federal funds rate to lift
appreciably above its effective lower bound until the second quarter of 2015.2

The lackluster growth of GDP over the forecast is the product of two offsetting forces. First, the
combination of weak growth in consumption along with relatively high real short-term interest
rates has led the model to estimate a relatively elevated aggregate risk premium, the model’s
main cyclical driver. All else equal, GDP growth would rise above trend as this risk premium
converges to its historical average. However, the model also interprets the market-expected path
of the federal funds rate as unusually accommodative, given the expected state of the economy
and the estimated monetary policy reaction function. Although these lower-than- expected
interest rates boost the current level of real GDP, these effects vanish over the medium term,
lowering GDP growth. In the current forecast, these two forces are balanced, leading to roughly
trend GDP growth. The gradual increase in projected inflation over the forecast horizon is
driven by the rebound of wages following negative markup shocks and a slow return of
household labor supply preferences to long-run levels.

The EDO model forecast now conditions on the 2014:Q3 data and a preliminary Tealbook
forecast for the fourth quarter. Although growth early in 2015 is initially stronger, the mediumterm projection was revised down compared to September with real GDP growth averaging 2¾
percent in 2016-2017. Inflation gradually increases to 1.9 percent in 2017.

2

Observations of the market-expected funds rate path through 11 quarters into the future are provided to the
model starting in 2008:Q4.

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The FRBNY Model

The FRBNY model forecasts are obtained using data released through 2014Q3, augmented for
2014Q4 with the FRBNY staff forecasts for real GDP growth, core PCE inflation, and growth in
total hours, and with values of the federal funds rate and the spread between Baa corporate bonds
and 10-year Treasury yields based on 2014Q4 observations. The expected federal funds rate is
constrained to equal market expectations, as measured by OIS rates, through 2015Q2. This
constraint is implemented via anticipated policy shocks, whose standard deviations are estimated
using FFR expectations since 2008Q4, when the zero bound became binding. The 2014Q4 staff
projections, OIS rates and spreads are those that were available on November 26.

The FRBNY DSGE forecast did not change much compared to September, with the trajectory of
output somewhat stronger in 2016 and 2017, but inflation a bit weaker throughout the forecast
horizon. Over the short term, this modest change reflects to a large extent the moderating
influence of the staff GDP now-cast for Q4, which is weaker than the model’s own forecast for
that quarter. Given the staff projection of a Q4/Q4 growth rate of 2.1% for 2014, GDP growth is
seen leveling off close to 2% throughout the forecast horizon, while inflation dips to 1.2% in
2015 and only very gradually recovers towards mandate consistent levels, reaching 1.8% in
2017.

Uncertainty around the real GDP growth and inflation forecasts has diminished for 2015,
reflecting the addition of one more data point to the conditioning set, but it is broadly unchanged
otherwise. Notably, the 68% percent probability intervals for inflation remain quite tight, with
the probability of negative inflation assessed at roughly 10% in 2015, and at less than 5%
thereafter. Similarly, the probability of core PCE inflation above 3% is less than 5% in 2015 and
about 15% in 2017. In contrast, the width of the 68% probability interval for GDP growth is
almost 5 percentage points already in 2015, and 6.5 percentage points in 2017, in both cases with
about one third of the probability mass at negative values.
The dynamics behind medium-to-long-term FRBNY DSGE forecasts can be described as
follows. The headwinds from the financial crisis, which the model identifies as responsible for
holding growth below average over the recovery, continue to dissipate. In fact, spread shocks,

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which were the main driver of the Great Recession and continued to exercise a negative pull on
the economy during the first phase of the recovery, provide a positive contribution to GDP
growth and inflation starting in 2014. This contribution builds over the forecast horizon and
reaches about 1 percentage point of GDP in 2017. In contrast, a low marginal efficiency of
investment, which has persisted throughout the recovery, continues to hamper GDP growth and
to exert a negative drag on inflation. However, this effect is now smaller than in the recent past,
and it is forecast to shrink further. On the other side of the ledger, monetary policy has provided
consistent support to GDP growth over the last several years, but this support must be paid back
over time, since monetary policy is neutral in the long-run. This payback from past stimulus
implies a negative effect on growth over the foreseeable future, which reaches a peak of about 1
percentage point in 2016 and declines slowly afterwards.

Finally, the FRBNY model projects the FFR to reach 2% by the end of 2017, well below its
steady state value. This very shallow path after lift-off is mostly driven by the endogenous
response of policy to the relatively weak fundamentals, according to the historical reaction
function estimated by the model, rather than by the consequences of policy shocks.

The PRISM Model
The Philadelphia Research Intertemporal Stochastic Model (PRISM) forecast is constructed
using data through 2014Q3 that are then supplemented with a 2014Q4 nowcast based on the
most recent Macroeconomic Advisors model forecast. In addition, the forecasted path for the
federal funds rate is constrained through 2015Q2 using futures market data – implied
expectations.
PRISM forecasts that growth will accelerate from a 2.2 percent pace in 2014 to about 4 percent
in 2015 and 2016, and then taper down to about 3.8 percent in 2017. While 2014Q4 real output
growth is pinned down at 2.4 percent by the nowcast, the forecast calls for output growth to rise
to 3.8 percent in the first quarter of 2014, and then run at about that pace through the end of
2016. Growth then gradually edges down to about a 3.6 percent pace by the end of 2017. While
output growth is projected to be fairly robust, inflation remains contained at below 2 percent
through the forecast horizon. The forecast has the funds rate following the financial market

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expectation through 2015Q2 and then rising to 1.3 percent by the end of 2015 and 3.3 percent by
the end of 2017.
According to PRISM, an ongoing rebound in the labor market and investment demand will drive
above-trend growth over the next 3 years. The model continues to imply a de-trended level of
output that is below its steady state and an important factor in accounting for this output gap is
the low level of aggregate hours worked, which the model generates through a combination of
labor supply shocks, investment shocks, and government spending shocks. Looking ahead, the
model anticipates that above-trend real GDP growth will be driven by a rebound in hours worked
and a waning of the largely negative investment and financial shocks that have accumulated
since 2010.
The 2014Q4 nowcast for core PCE inflation is 1.4 percent. The model predicts a steady but
gradual rise in inflation over the next 3 years, reaching about 2 percent at the end of 2017. The
principal factor accounting for slightly below-trend core inflation over the forecast horizon is the
very slow unwinding of the effects of financial shocks, that are being only partially offset by the
rebound in hours worked and aggregate demand (which put upward pressure on inflation).
The forecast is implemented with a path for the federal funds rate that is constrained by financial
market expectations through 2015Q2. When that constraint is lifted in 2015Q3 the funds rate
begins to rise quickly, jumping about 65 basis points in 2015Q3. By the end of 2017, the funds
rate is projected to be at about 3.3 percent. The model puts relatively little weight on the output
gap in the estimated policy rule. Consequently, the shocks that account for the dynamics of the
federal funds rate are largely the same as those that account for the dynamics of inflation.

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