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Prefatory Note

The attached document represents the most complete and accurate version available
based on original files from the FOMC Secretariat at the Board of Governors of the
Federal Reserve System.
Please note that some material may have been redacted from this document if that
material was received on a confidential basis. Redacted material is indicated by
occasional gaps in the text or by gray boxes around non-text content. All redacted
passages are exempt from disclosure under applicable provisions of the Freedom of
Information Act.

Content last modified 02/09/2012.

CLASS I FOMC - RESTRICTED CONTROLLED (FR)
OCTOBER 19, 2006

MONETARY POLICY ALTERNATIVES

PREPARED FOR THE FEDERAL OPEN MARKET COMMITTEE
BY THE STAFF OF THE BOARD OF GOVERNORS OF THE FEDERAL RESERVE SYSTEM

Class I FOMC - Restricted Controlled (FR)

October 19, 2006

MONETARY POLICY ALTERNATIVES
Recent Developments
(1)

The FOMC’s decision at its September meeting to leave the federal funds

rate target unchanged at 5¼ percent was largely anticipated by financial market
participants. Similarly, the wording of the accompanying statement roughly matched
the market consensus, leaving the expected path of interest rates little changed in
response. 1 Over the intermeeting period, investors remained virtually certain that the
federal funds rate target would hold steady for the remainder of this year.
Expectations for policy further ahead, though, moved as much as 30 basis points
lower early in the period in response to a few data releases with a weakish cast. In
recent weeks, however, those declines were rolled back in the wake of speeches by
FOMC members and the minutes of the September meeting—which were reportedly
read as emphasizing the risks to inflation—as well as stronger-than-expected
economic data. The market response to these releases was probably heightened by
the monetary policy communications. Futures quotes currently indicate that investors
expect about 50 basis points of easing during 2007, about what had been anticipated
before the September meeting (Chart 1). Respondents to the Desk’s survey of
primary dealers also expect the FOMC to ease policy during 2007, although by
somewhat less than implied by futures market quotes. Investors became a bit more
confident in their expectations about monetary policy in that the implied probability
distribution for the federal funds rate from options on Eurodollar futures contracts
maturing in about six months narrowed further, with about 20 percent probability
The effective federal funds rate averaged near its intended level over the intermeeting
period. The Desk purchased $1½ billion of Treasury coupon securities in the market and
redeemed $3¾ billion of coupon securities. The volume of outstanding long-term RPs
increased by $2 billion.

1

Class I FOMC - Restricted Controlled (FR)

Page 2 of 42

Chart 1
Interest Rate Developments

Expected Federal Funds Rates*

Percent
6.0

Implied Distribution of Federal Funds Rate about
Six Months Ahead*
Percent
35

Recent: 10/19/2006
Last FOMC: 09/19/2006

October 19, 2006
September 19, 2006

30

5.5

25
20

5.0

15
10

4.5

5
0

4.0
Oct.
2006

Feb.

May Aug.
2007

Dec.

Apr.

Aug.
2008

*Estimates from options on Eurodollar futures contracts, adjusted to
estimate expectations for the federal funds rate.

*Estimates from federal funds and Eurodollar futures, with an allowance
for term premiums and other adjustments.

Implied Volatilities
Percent

11

220
FOMC

Ten-Year Treasury (left scale)
Six-Month Eurodollar (right scale)

9

Nominal Treasury Yields*

Basis points

Daily

4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 6.25

Percent
7

Daily

200

FOMC

Ten-Year
Two-Year

180

5

160

7

6

4

140
5

3

120

2

100

3

1

80
1

60
Apr.

Aug.
2004

Dec.

Apr.

Aug.
2005

Dec.

Apr. Aug.
2006

0
Apr.

Aug.
2004

Dec.

Apr.

Aug.
2005

Dec.

Apr. Aug.
2006

*Par yields from a smoothed nominal off-the-run Treasury yield curve.

Inflation Compensation*

Oil Prices

Percent
FOMC

Daily

Next Five Years
Five-Year Forward, Five Years Ahead

4.0

$/barrel
FOMC

Daily
Spot WTI
Far-Dated Futures

3.5

80
70
60

3.0

50
2.5
40
2.0

30

1.5
Apr.

Aug.
2004

Dec.

Apr.

Aug.
2005

Dec.

Apr. Aug.
2006

20
Apr.

Aug.
2004

Dec.

*Estimates based on smoothed nominal and inflation-indexed
Treasury yield curves and adjusted for the indexation-lag (carry) effect.

Note: Vertical lines indicate September 19, 2006. Last daily observations are for October 19, 2006.

Apr.

Aug.
2005

Dec.

Apr.
Aug.
2006

Class I FOMC - Restricted Controlled (FR)

Page 3 of 42

weight now being placed on tightening and 45 percent being placed on easing by then.
Forward-looking implied volatilities derived from longer-term interest rate derivatives
also remain near historical lows (see box on following page).
(2)

Yields on nominal and inflation-indexed Treasury coupon securities rose

slightly, on net, over the intermeeting period. Inflation compensation for next year
declined modestly, likely reflecting a further fall in spot energy prices, but was largely
unchanged at longer maturities. Survey data pointed to a decline in household shortterm inflation expectations. Trading conditions in the Treasury securities market
remained healthy despite reports of substantial liquidations of short positions in
Treasury issues by some large hedge funds (Chart 2). Similarly, the winding down of
Amaranth, a hedge fund that posted losses in excess of $6 billion in energy trading
and that had positions in several other markets, left no discernible imprint on the
functioning of markets.
(3)

Broad equity indexes rose 4 to 5 percent over the intermeeting period.

Investor optimism was reportedly buoyed by a relative paucity of profit warnings
ahead of scheduled third-quarter earnings announcements and, in the event, by
aggregate earnings news that has thus far outstripped expectations with about onefifth of the S&P 500 firms having reported; analysts’ estimates now suggest that
earnings for the third quarter will come in 15 percent above the levels of a year ago.
The drop in oil prices may also have supported share values. Equity implied
volatilities remain near historical lows. Spreads of investment-grade corporate bond
yields over those on comparable Treasury securities held steady, while those on
speculative-grade corporate bonds narrowed a little. Corporate credit quality
remained solid, with expected and realized bond default rates staying very low.
(4)

The trade-weighted index of the dollar versus major foreign currencies rose

about 1 percent on balance over the intermeeting period, with the gains spread evenly

Class I FOMC - Restricted Controlled (FR)

Page 4 of 42

Implied volatility, realized volatility, and turning points in monetary policy
Measures of interest rate uncertainty have stayed near historical lows during the past
few months. For example, implied volatilities derived from options on two- and tenyear swap contracts, shown by the black lines below, remain near lows observed in
the past six years.
Implied volatility could reflect both expected volatility over the horizon of the option
and a premium for volatility risk. Past volatility likely informs investors’ expectations
of future volatility, and realized volatilities on two- and ten-year swap rates are still
near sample lows after having edged a bit higher over the intermeeting period. The
subdued level of realized volatility notwithstanding, some commentators find
currently low implied volatilities particularly puzzling given that monetary policy
might be at a “turning point,” denoted by the shaded regions below.* However,
reduced-form econometric models that include realized volatility and other variables
generally indicate that implied volatility is not greater during the periods between
easing and tightening cycles.

* Historical turning points refer to periods between the last increase (decrease) in the target of a tightening (easing)

cycle and the first decrease (increase) in the target of a subsequent easing (tightening) cycle. For the purposes of this
analysis, the period after the June 2006 FOMC meeting is presumed to be a turning point, although the results reported
here are insensitive to that assumption.

Class I FOMC - Restricted Controlled (FR)

Page 5 of 42

Chart 2
Asset Market Developments

Daily Total Trading Volume in Two-, Five-, and
Ten-year Treasury On-the-Run Notes
Billions

Stock Prices
300

Index(12/31/03=100)
FOMC

Daily

140

Wilshire

250

130

200
120
150
110
100
100

50
0
Jan.

Mar.

May
2006

July

90

Sept.

Apr.

Sept.
2004

Feb.

July
2005

Dec.

May
Oct.
2006

Source. BrokerTec Interdealer Market Data. Total interdealer
market volume estimated from ICAP volume and market share.

Corporate Earnings Growth

Implied Volatilities

Percent

Quarterly*

Q3p

40

Daily

30
Q2

Percent
FOMC

S&P 500
Nasdaq

20

30

10

20

0
-10

S&P 500 EPS
NIPA, economic
profits before tax

10
-20
-30

1989

1992

1995

1998

2001

0

2004

Apr.

*Change from four quarters earlier.
Source. I/B/E/S for S&P 500 EPS.

Corporate Bond Spreads*
Basis points

Apr.

Aug.
2005

Percent of Outstandings
6

Daily

FOMC

Ten-Year BBB (left scale)
Five-Year High-Yield (right scale)

240

Dec.

Dec.

Apr. Aug.
2006

Corporate Default Rates

Basis points
280

Aug.
2004

750

Percent of Liabilities
2.5

Monthly

Bond Default Rates(left scale)*
Expected Year-Ahead Defaults (right scale)**

5
625
4

1.5

500

200

3

1.0

375
160

2.0

2

0.5

250
1

120

0.0

125
0

80

0
Apr.

Sept.
2004

Feb.

July
2005

Dec.

May
Oct.
2006

*Measured relative to an estimated off-the-run Treasury yield curve.

1990

1993

1996

1999

2002

2005

*6-month moving average, from Moody’s Investors Service.
**Firm-level estimates of default weighted by firm liabilities as a percent
of total liabilities, excluding defaulted firms. Source. Moody’s KMV.

Note: Vertical lines indicate September 19, 2006. Last daily observations are for October 19, 2006.

Class I FOMC - Restricted Controlled (FR)

Page 6 of 42

against most currencies (Chart 3).2 Both nominal and real yields on long-term
government bonds in foreign industrial countries moved roughly in tandem with
those on comparable U.S. securities. Major foreign stock markets also recorded gains
similar to those in the United States. On October 5, the European Central Bank
raised its main policy rate 25 basis points, the fifth such increase in the present round
of tightening.
(5)

The dollar was down slightly over the intermeeting period against an index

of currencies of our other important trading partners, led by declines of 2 and
1 percent against the Brazilian real and the Mexican peso, respectively. Stock prices in
most Latin American and Asian markets recorded solid gains over the period. Prices
of Thai financial assets dropped after the September 19th coup, but they ended the
period higher on balance. More recently, South Korean equity prices fell somewhat
on news of the nuclear test in North Korea and have since only partially recovered.
(6)

Domestic nonfinancial sector debt is estimated to have expanded at an

annual rate of 6½ percent in the third quarter, in line with the second-quarter pace, as
a pickup in government debt growth was likely offset by a moderation in business and
household debt growth (Chart 4). Consumer credit slowed noticeably over the
summer, and mortgage debt growth is anticipated to have dropped further in the third
quarter, owing largely to an expected further deceleration in house prices. In the
business sector, growth in C&I loans weakened substantially in September but was
quite strong for the third quarter as a whole. Bank lending to businesses through
commercial real estate loans slowed during August and September, a pattern
consistent with results from the October Senior Loan Officer Opinion Survey, which
indicated a weakening of demand and a tightening of credit standards for such loans.

2

Class I FOMC - Restricted Controlled (FR)

Page 7 of 42

Chart 3
International Financial Indicators

Ten-Year Government Bond Yields (Nominal)

Nominal Trade-Weighted Dollar Indexes
Index(12/31/03=100)
Daily
Broad
Major Currencies
Other Important Trading Partners

112

6.0

Percent
Daily
UK (left scale)
Germany (left scale)
Japan (right scale)

110
5.5

2.5

108
106

5.0
2.0

104
102

3.0

4.5
1.5

100

4.0

98
96

1.0
3.5

94

0.5

3.0
92
90
Jan.

May Sept.
2004

Feb.

Stock Price Indexes
Industrial Countries

June Oct.
2005

Feb.

June
2006

Oct.

Index(12/31/03=100)

Daily

2.5

0.0
Jan.

May Sept.
2004

Feb.

June Oct.
2005

Stock Price Indexes
Emerging Market Economies
175
170

Feb.

June
2006

Oct.

Index(12/31/03=100)

Daily

265
250

165

UK (FTSE-350)
Euro Area (DJ Euro)
Japan (Topix)

160

235

Brazil (Bovespa)
Korea (KOSPI)
Mexico (Bolsa)

155

220

150

205

145

190

140
135

175

130

160

125

145

120
115

130

110

115

105

100

100
85

95
90
Jan.

May Sept.
2004

Feb.

June Oct.
2005

Feb.

June
2006

Oct.

70
Jan.

May Sept.
2004

Feb.

Note: Vertical lines indicate September 20, 2006. Last daily observations are for October 19, 2006.

June Oct.
2005

Feb.

June
2006

Oct.

Class I FOMC - Restricted Controlled (FR)

Page 8 of 42

Chart 4
Debt and Money

Growth of Nonfinancial Debt

Growth of Household Debt
Percent

Percent, s.a.a.r.

21

Quarterly, s.a.a.r.

Total
_____

Nonfederal
__________

8.9

8.9

Q1
Q2
Q3
Q4

9.3
8.2
9.7
9.6

8.5
9.9
10.5
10.0

Q1
Q2
Q3

9.5
6.4
6.5

9.1
8.3
7.2

2004

18

Consumer
Credit

15
12

2005

2006

p

9
Q3p

Home
Mortgage

Q3p

6
3
0
-3

1991

p Projected.

1993

1995

1997

1999

2001

2003

2005

p Projected.

Changes in Selected Components of
Nonfinancial Business Debt

$Billions

Net Percentage of Domestic Respondents Tightening
Standards for Business Loans Over the Preivous Three
Months
Percent
50
40

C&I Loans
Commercial Paper
Bonds

80

C&I loans to large and medium-sized firms
Commercial real estate loans

Monthly rate

60

30
40

p
Sum

20
20
10
0

0

-20

-10
-20
2004

H1

H2

Q1

Q2

-40

Q3

1990

1993

1996

1999

2005
2006
p Preliminary.
Note. Commercial paper and C&I loans are seasonally adjusted,
bonds are not.

Source: Senior Loan Officer Opinion Survey.

Growth of M2

M2 Velocity and Opportunity Cost
Percent

s.a.a.r.

10

8.00

2002

Percent

2005

Velocity

2.3

Quarterly
8

Opportunity Cost*
(left axis)

4.00

2.2
Q3p

6

2.1

2.00

4
2.0

2
0

1.00

Q3p

Velocity
(right axis)

1.9

0.50

-2

1.8

0.25

-4
2004

H1

H2
2005

Q1

Q2
2006

Q3

1993

1995

1997

*Two-quarter moving average.

1999

2001

2003

2005

2007

Class I FOMC - Restricted Controlled (FR)

(7)

M2 grew modestly in the third quarter, evidencing the lagged effects of

prior increases in opportunity costs and slow growth in nominal spending. Strong
advances in small time deposits and retail money funds offset a runoff in liquid
deposits. The stock of currency was about flat, owing to continuing weak overseas
demand for U.S. banknotes.

Page 9 of 42

Class I FOMC - Restricted Controlled (FR)

Page 10 of 42

Medium-Term Strategies
(8)

Over the intermeeting period, incoming data on economic activity and

inflation were mostly consistent with the staff’s September projection. Accordingly,
the latest Greenbook forecast continues to point to below-trend economic growth
and gradually ebbing core inflation. As in September, the forecast is predicated on an
assumption that the Committee maintains the current stance of policy through mid2008 and then eases slightly. Long-term Treasury yields follow a path similar to that
projected in September, that is, rising marginally as investors come to realize that
policy is unlikely to be eased next year. Stock prices once again are anticipated to
increase at about a 6½ percent annual rate, but from a level that is about 3½ percent
higher than anticipated in the previous forecast. The foreign exchange value of the
dollar is again assumed to depreciate gradually. Given recent developments in energy
markets, oil prices in the near term are assumed to be about $5 per barrel lower than
in the September projection, but that difference largely unwinds over the next two
years. Against this backdrop, real GDP growth is expected to slow to around a
1½ percent annual rate in the second half of this year, just a touch softer than in the
September Greenbook. Thereafter, economic growth picks up gradually to about a
2½ percent pace in 2008, which brings it up to the staff’s estimate of the expansion of
potential GDP. The sluggish performance over the next few quarters pushes the
unemployment rate up to a little above 5 percent. The flattening out of energy and
other commodity prices, combined with an expected deceleration in import prices and
slight cooling in product and labor markets, nudges core PCE inflation down from an
annual rate of around 2¼ percent in the second half of 2006 to close to 2 percent by
the end of the forecast period. Headline PCE inflation is projected to slow to an
annual rate of less than 1 percent in the second half of this year, reflecting the recent
sharp declines in consumer energy prices, but to rebound to 2.7 percent in 2007 and
2.1 percent in 2008.

Class I FOMC - Restricted Controlled (FR)

(9)

Page 11 of 42

To shed light on the economic outlook and policy strategies at a longer

horizon, the FRB/US model was used to construct an illustrative extension of the
Greenbook forecast beyond 2008 based on a set of medium-term assumptions
together with some judgmental adjustments. Important influences on the inflation
outlook include trend multifactor productivity growth of about 1¾ percent per year,
approximately flat energy prices, and a pickup in real dollar depreciation to an average
rate of 3 percent per year. Based on these assumptions, the unemployment rate
would need to be a bit above the staff’s assumed long-run NAIRU of 5 percent to
keep the core PCE inflation rate stable. The illustrative extension also assumes that
the unified federal budget deficit rises gradually from just under 2 percent of GDP in
2008 to a little over 2½ percent by 2012 and that the assumed pace of dollar
depreciation and steady growth abroad are sufficient to stabilize the current account
deficit at just below 8 percent of GDP. Further assuming that both term and risk
premiums on bonds gradually move back to their historical norms, the real funds rate
would need to decline to around 2 percent to keep output expanding along its
potential path.
(10)

The value of the equilibrium real federal funds rate (r*) is subject to

substantial uncertainty, which can be seen in the range of different estimates reported
in Chart 5. The Greenbook-consistent measure of short-run r*—the value that would
close the output gap over the next twelve quarters—has remained around 2½ to
2¾ percent since the June Bluebook, reflecting the relatively small revisions since the
start of the summer in the staff’s assessment of the strength of aggregate demand
relative to potential output. This judgmental estimate currently lies just above the
range of the three model-based measures of short-run r*. Model-based estimates of
the medium-run value of r*—the real rate consistent with output at potential at a
horizon of about seven years, on the assumption that monetary policy acts to close

Class I FOMC - Restricted Controlled (FR)

Page 12 of 42

Chart 5
Equilibrium Real Federal Funds Rate
Short-Run Estimates with Confidence Intervals

Percent
8

Actual real federal funds rate
Range of model-based estimates
70 percent confidence interval
90 percent confidence interval
Greenbook-consistent measure

7
6
5
4
3
2
1
0
-1

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

Short-Run and Medium-Run Measures
Current Estimate

Previous Bluebook

2.1
2.1
2.7

2.2
2.1
2.7

Short-Run Measures
Single-equation model
Small structural model
Large model (FRB/US)
Confidence intervals for three model-based estimates
70 percent confidence interval
90 percent confidence interval
Greenbook-consistent measure

(0.8 - 3.8(
-0.1 - 4.6(
2.8

2.6

2.2
2.2

2.2
2.2

Medium-Run Measures
Single-equation model
Small structural model
Confidence intervals for two model-based estimates
70 percent confidence interval
90 percent confidence interval
TIPS-based factor model

(1.3 - 3.1(
(0.7 - 3.7(
2.1

2.1

2.9

2.9

Memo
Actual real federal funds rate

Note: Appendix A provides background information regarding the construction of these measures and confidence intervals.

-2

Class I FOMC - Restricted Controlled (FR)

Page 13 of 42

the output gap over the next several years and keep it closed thereafter—are also close
to the value implicit in the illustrative Greenbook extension.
(11)

Medium-term implications of alternative monetary policy strategies

can be assessed using optimal control simulations of the FRB/US model. In these
simulations, policymakers and participants in financial markets are assumed to
understand fully the forces shaping the economic outlook (as summarized by the
extended Greenbook projection), whereas households and firms form their
expectations using more limited information. The optimal path of policy balances
three stabilization objectives: keeping core PCE inflation close to a specified goal;
keeping unemployment close to the long-run NAIRU; and avoiding sharp changes in
the nominal federal funds rate. The optimal policy and associated macroeconomic
outcomes depend on the level of the inflation goal and the weights assigned to the
stabilization objectives; these paths also reflect both the structure of the FRB/US
model and the specific assumptions embedded in the extended Greenbook outlook.
(12)

The first set of simulations, shown in Chart 6, explores the implications of

alternative goals for core PCE inflation, assuming that policymakers place equal
weights on the three stabilization objectives. With an inflation goal of 2 percent
(denoted by the solid lines), the optimal control simulation prescribes a nominal funds
rate of about 5¼ percent through the end of next year followed by a gradual decline
to about 4¼ percent by the end of the decade. Unemployment remains a bit above
the long-run NAIRU of 5 percent and core inflation remains slightly above the
2 percent goal through 2012, reflecting the balancing of the inflation and employment
objectives in an environment in which steady dollar depreciation is generating
persistent upward pressure on domestic inflation. With an inflation goal of
1½ percent (the dashed lines), the optimal policy prescribes a funds rate path that
rises to nearly 6 percent next year before declining to about 3½ percent by 2012. In
this case, the unemployment rate peaks at about 5½ percent later this decade while

Class I FOMC - Restricted Controlled (FR)

Page 14 of 42

Chart 6
Alternative Long-Run Inflation Objectives
Federal Funds Rate

2 Percent Objective
1½ Percent Objective
2006

2007

2008

2009

2010

Five-Year Real Interest Rate

Percent
7.0

2011

2012

Percent
5.0

6.5

4.5

6.0

4.0

5.5

3.5

5.0

3.0

4.5

2.5

4.0

2.0

3.5

1.5

3.0

2006

2007

2008

2009

2010

2011

Civilian Unemployment Rate

2012

1.0

Percent
6.5

6.0

5.5

5.0

4.5

2006

2007

2008

2009

2010

2011

2012

Core PCE Inflation

Four-quarter average

4.0

Percent
3.0

2.5

2.0

1.5

2006

2007

2008

2009

2010

2011

2012

1.0

Class I FOMC - Restricted Controlled (FR)

Page 15 of 42

core inflation declines gradually towards its goal. The slow pace of disinflation is
importantly shaped by the high output costs associated with lowering long-run
inflation expectations in FRB/US and by the relative weights that policymakers are
assumed to place on their inflation and unemployment objectives.
(13)

Chart 7 depicts two alternative scenarios that illustrate, for an inflation goal

of 1½ percent, how policymaker preferences and the costs of disinflation influence
the policy path in optimal control simulations. In the first scenario (the dashed lines),
policymakers place considerably greater relative weight on achieving the inflation
objective, rather than placing equal weight on inflation and unemployment
stabilization as in the benchmark scenario (the solid lines). With a greater focus on
the inflation objective, the optimal funds rate path continues to rise well into 2008
and remains on a track about 50 basis points higher than in the benchmark scenario
for several years thereafter. As a result, the unemployment rate rises to nearly
6 percent, helping push core inflation closer to the 1½ percent goal by the end of the
decade. The second scenario maintains the baseline assumption that policymakers
place equal weights on the three stabilization objectives, but departs from the model’s
standard equation for the evolution of long-run inflation expectations; in particular,
this scenario posits that unexpectedly tight monetary policy directly induces wage and
price setters to mark down their assessment of the policymakers’ inflation goal,
thereby diminishing the amount of economic slack needed to reduce actual and
expected inflation in the FRB/US model.3 The optimal policy in this case (the dotted

More specifically, the learning mechanism assumes that wage and price setters believe that
monetary policy is determined by a Taylor rule for which all the parameters are known
except the inflation goal. The level of the nominal funds rates therefore provides a signal of
the inflation goal that wage and price setters use to update their expectations of long-run
inflation—a channel that is absent from the other model simulations in which wage and
price setters use only past inflation to update their assessment of long-run inflation. This
change in the learning mechanism lowers the sacrifice ratio—the cumulative amount of
excess unemployment needed to lower inflation one percentage point—from over 6 in the
3

Class I FOMC - Restricted Controlled (FR)

Page 16 of 42

Chart 7
Optimal Policy with a 1½ Percent Inflation Objective

Federal Funds Rate

Equal weights
More weight on inflation
With learning
2006

2007

2008

2009

2010

Five-Year Real Interest Rate

Percent
7.0

2011

2012

Percent
5.0

6.5

4.5

6.0

4.0

5.5

3.5

5.0

3.0

4.5

2.5

4.0

2.0

3.5

1.5

3.0

2006

2007

2008

2009

2010

2011

Civilian Unemployment Rate

2012

1.0

Percent
6.5

6.0

5.5

5.0

4.5

2006

2007

2008

2009

2010

2011

2012

Core PCE Inflation

Four-quarter average

4.0

Percent
3.0

2.5

2.0

1.5

2006

2007

2008

2009

2010

2011

2012

1.0

Class I FOMC - Restricted Controlled (FR)

Page 17 of 42

lines) prescribes a near-term rise in the funds rate to about 6¼ percent by mid-2007,
with subsequent policy easing as long-term inflation expectations converge to the
inflation goal. The more favorable policy tradeoff is readily apparent in this scenario:
Core inflation descends more quickly towards the 1½ percent goal even though the
unemployment rate is only modestly higher than the long-run NAIRU.
(14)

These optimal control policies prescribe broadly similar and relatively stable

funds rate paths over the next two years, in part because all of the simulations are
premised on the same set of assumptions regarding the medium-term outlook. The
upper portion of Chart 8 provides some information on the extent of uncertainty
about the future course of monetary policy. The left panel depicts confidence
intervals for the range of federal funds rate outcomes implied by stochastic
simulations of the FRB/US model, assuming that monetary policy is wellcharacterized by an estimated outcome-based rule and that the shocks hitting the
economy are typical of the experience over the past two decades. In the absence of
any shocks, the outcome-based rule (denoted by the dashed line) prescribes a funds
rate path that remains between 5¼ and 5½ percent through mid-2007 and then
declines gradually to about 5 percent. The stochastic simulations indicate a 70 percent
probability that the prescriptions of the outcome-based rule will fall in the range of
4 to 6½ percent during 2007. By comparison, confidence intervals implied by options
prices on federal funds and Eurodollar futures contracts (right panel) point to
noticeably less uncertainty in financial markets regarding the prospective path of
policy over the next two years.
(15)

While optimal control analysis necessitates the use of a macroeconomic

model such as FRB/US, simple policy rules based on a limited set of variables can
serve as benchmarks for monetary policy strategy, and the near-term prescriptions of

baseline case to less than 2, comparable to estimates of the sacrifice ratio for the disinflation
of the early 1980s.

Class I FOMC - Restricted Controlled (FR)

Page 18 of 42

Chart 8
The Policy Outlook in an Uncertain Environment
Information from Financial Markets

FRB/US Model Simulations
Percent
9

Estimated outcome-based rule
70 Percent confidence interval
90 Percent confidence interval
Estimated forecast-based rule

Q4

2006

Q1

Q2

Q3

Q4

2007
2007

Q1

Q2

Percent
9

Expectations from futures contracts
70 Percent confidence interval
90 Percent confidence interval
Actual and Greenbook assumption

8

Q3

Q4

8

7

7

6

6

5

5

4

4

3

3

2

Q4

2008
2008

Q1

2006

Q2

Q3

Q4

Q1

2007
2007

Q2

Q3

Q4

2008
2008

Near-Term Prescriptions of Simple Policy Rules
1½ Percent
Inflation Objective
2006Q4 2007Q1
Taylor (1993) rule
Taylor (1999) rule
Taylor (1999) rule with higher r*
First-difference rule

4.7
4.7
5.5
5.5

4.8
4.8
5.5
5.7

2 Percent
Inflation Objective
2006Q4 2007Q1
4.4
4.5
5.2
5.2

4.5
4.5
5.3
5.2

Memo
2006Q4 2007Q1
Estimated outcome-based rule
Estimated forecast-based rule
Greenbook assumption
Market expectations

5.4
5.3
5.3
5.2

5.5
5.1
5.3
5.2

Note: Appendix B provides background information regarding the specification of each rule and the methodology used in
constructing confidence intervals and near-term prescriptions.

2

Class I FOMC - Restricted Controlled (FR)

Page 19 of 42

such rules can be obtained without specifying any particular model. As shown in the
lower portion of Chart 8, the rules proposed by Taylor (1993, 1999) prescribe a funds
rate of about 4½ to 4¾ percent, depending on the inflation objective (either 2 or
1½ percent). A higher funds rate of 5¼ to 5½ percent is prescribed by a variant of
the Taylor (1999) rule—introduced in the August Bluebook—that incorporates a
value of r* that is 75 basis points higher than in the original rule. Finally, with an
inflation objective of 1½ percent, the first-difference rule—whose prescriptions do
not depend on the level of the output gap or any particular value of the equilibrium
real interest rate—calls for a distinct upward tilt to the path of policy, with the funds
rate rising to 5¾ percent by the first quarter of next year; in contrast, with a 2 percent
inflation goal, the first-difference rule is consistent with holding the funds rate at its
current level.

Class I FOMC - Restricted Controlled (FR)

Page 20 of 42

Short-Run Policy Alternatives
(16)

This Bluebook presents three formal policy alternatives for the Committee’s

consideration, associated with the draft statements in Table 1. Under Alternatives A
and B, the Committee would again leave the stance of monetary policy unchanged at
this meeting; Alternative A would indicate that the Committee has no clear view as to
the likely future direction of policy, whereas Alternative B would repeat the statement
from September that further policy tightening may prove necessary. Under
Alternative C, the Committee would increase the target rate 25 basis points at this
meeting and continue to stress upside risks to inflation. In all three, the Committee
would acknowledge that economic growth appears to have slowed further in the third
quarter, but the characterization of growth going forward varies across the
alternatives.
(17)

If the Committee judges that the news since its decision to hold the funds

target unchanged in September has not significantly altered the outlook for inflation
and activity, it might be attracted to Alternative B. A combination of below-trend
growth and an edging lower in core inflation, as in the staff forecast, may be viewed as
the best attainable outcome. With the real federal funds rate around the upper end of
the range of model-based estimates of its equilibrium value as noted earlier, the
Committee might judge the current stance of policy as broadly consistent with
achieving this result. Moreover, from a risk-management perspective, modest policy
restraint may be viewed as appropriately weighing the competing risks to inflation and
economic growth. The possibility that inflation expectations could begin to drift
higher and the tightness of the labor market, as evidenced by data on labor
compensation and reports of difficulties in filing certain positions, may both be
viewed as pointing to upside risks to costs and prices in the Greenbook projection.
Despite those upside inflation risks, the Committee may want to refrain from
tightening in light of the downside risks to economic growth, including the possibility

Class I FOMC - Restricted Controlled (FR)

Page 21 of 42

Table 1: Alternative Language for the October FOMC Announcement
September FOMC
Policy
Decision

Rationale

Assessment of
Risk

Alternative A

Alternative B

1. The Federal Open Market
Committee decided today to keep its
target for the federal funds rate at
5¼ percent.
2. The moderation in economic
growth appears to be continuing,
partly reflecting a cooling of the
housing market.

The Federal Open Market Committee
decided today to keep its target for the
federal funds rate at 5¼ percent.

The Federal Open Market Committee
decided today to keep its target for the
federal funds rate at 5¼ percent.

Economic growth appears to have
slowed further in the third quarter, partly
reflecting a cooling of the housing
market. Although there is a risk that the
slowdown in economic growth may
become more pronounced, the economy
seems likely to expand at a moderate
pace.

Economic growth appears to have
slowed further in the third quarter, partly
reflecting a cooling of the housing
market. Going forward, the economy
seems likely to expand at a moderate
pace.

3. Readings on core inflation have
been elevated, and the high levels of
resource utilization and of the prices
of energy and other commodities
have the potential to sustain
inflation pressures. However,
inflation pressures seem likely to
moderate over time, reflecting
reduced impetus from energy prices,
contained inflation expectations,
and the cumulative effects of
monetary policy actions and other
factors restraining aggregate
demand.
4. Nonetheless, the Committee
judges that some inflation risks
remain. The extent and timing of
any additional firming that may be
needed to address these risks will
depend on the evolution of the
outlook for both inflation and
economic growth, as implied by
incoming information.

Readings on core inflation have been
elevated, and the high level of resource
utilization has the potential to sustain
inflation pressures. However, inflation
pressures seem likely to moderate over
time, reflecting reduced impetus from
energy prices, contained inflation
expectations, and the cumulative effects
of monetary policy actions and other
factors restraining aggregate demand.

In these circumstances, future policy
adjustments will depend on the evolution
of the outlook for both inflation and
economic growth, as implied by
incoming information.

[Unchanged]

[Unchanged]

Alternative C
The Federal Open Market
Committee decided today to raise its
target for the federal funds rate by
25 basis points to 5½ percent.
Economic growth appears to have
slowed further in the third quarter,
partly reflecting a cooling of the
housing market. Going forward, the
economy seems likely to expand at a
moderate pace.

Readings on core inflation have
been elevated and the high levels of
resource utilization and of the prices
of energy and other commodities
have the potential to sustain
inflation pressures. Inflation
pressures seem likely to moderate
over time, but the extent and speed
of that moderation is uncertain. In
these circumstances, the Committee
believed that an additional firming
of policy was appropriate to bolster
progress towards achieving price
stability.
Although the Committee both seeks
and expects a gradual reduction in
inflation, it continues to view the
risks to that outcome as remaining
to the upside. The extent and
timing of any additional firming that
may be needed to address these
risks will depend on the evolution of
the outlook for both inflation and
economic growth, as implied by
incoming information.

Class I FOMC - Restricted Controlled (FR)

Page 22 of 42

that the housing market could continue to deteriorate. Holding the federal funds rate
unchanged would permit additional information bearing on the prospects for growth
and inflation to accumulate before making a move in either direction.
(18)

With little news since the September FOMC meeting, the Committee could

essentially repeat its previous statement, but acknowledge softness in the economy in
the third quarter. If the Committee wished to include an explicit assessment of the
prospects for growth, it could also include an additional sentence in row 2 noting that
“Going forward, the economy seems likely to expand at a moderate pace.”
(19)

Money market futures and options indicate that investors remain confident

that the Committee will maintain the federal funds rate at 5¼ percent at this meeting.
Moreover, the Desk’s survey of primary dealers indicates that the accompanying
statement is expected to replicate broadly the September announcement. The release
of a statement along the lines of alternative B, therefore, would not prove a surprise,
and the market reaction would likely be limited.
(20)

In recent statements, the risk assessment has pointed to upside risks to

inflation and the possible need to firm policy further. However, market participants
appear to attach greater likelihood to policy easing than tightening. To protest that
view and to underscore its commitment to reduce inflation, the Committee might
choose to modify its words to note that “Although the Committee both seeks and
expects a gradual reduction in inflation, it continues to view the risks to that outcome
as remaining to the upside.” The variation in wording might also be seen as having
the advantage of eliminating repetition, which in the past has led to market
participants viewing certain phrases as heavily freighted with meaning. If modifying
the statement along these lines was successful in increasing investors’ perception of
the upside risks to inflation, near-term policy expectations might back up somewhat
and short-term Treasury yields rise. In this case, the value of the dollar on foreign
exchange markets would likely edge higher, and stock prices could fall.

Class I FOMC - Restricted Controlled (FR)

(21)

Page 23 of 42

In contrast, the Committee might now be more concerned about the

downside risks to growth, perhaps in part as a result of the sharp slowing estimated
for the third quarter. If so, Alternative A might find some support. In this
alternative, the stance of policy would be maintained at this meeting, and the
statement would indicate that the outlook was such that the Committee did not have a
clear view as to the likely future direction of policy. The Committee might judge that
there is a material probability that growth could prove weaker than in the staff
forecast, perhaps reflecting a more pronounced housing market adjustment with more
extensive effects on the rest of the economy, along the lines of the “Housing
correction with spillovers” scenario described in the Greenbook. Moreover, if the
Committee, like the staff, saw only sluggish near-term growth in activity and
employment, it might be concerned that any additional adverse shocks to demand
could have a disproportionate impact on the economy. Maintaining the federal funds
rate at 5¼ percent for some time would be broadly consistent with the Committee’s
past behavior as captured in the estimated policy rules presented earlier. Further, as
noted in the medium-term policy strategies, the optimal policy path associated with
pursuit of a 2 percent inflation objective has the federal funds rate remaining near
current levels for the next year or so, before moving gradually lower thereafter.
(22)

In order to point out the downside risks to growth, the statement

accompanying Alternative A could note that “there is a risk that the slowdown in
economic growth may become more pronounced.” To simplify the statement, the
Committee might want to remove from the discussion of inflation the reference to
the high levels “of the prices of energy and other commodities.” Indeed, the
Committee might see some merit in this simplification for the other alternatives as
well. Given the competing risks to inflation and growth, the risk assessment might
simply state that “In these circumstances, future policy adjustments will depend on

Class I FOMC - Restricted Controlled (FR)

Page 24 of 42

the evolution of the outlook for inflation and economic growth, as implied by
incoming information.”
(23)

Although market participants expect the current target for the federal funds

rate to be maintained at this meeting, they do not expect a statement that explicitly
identifies risks to growth as well as to inflation and suggests the Committee is no
longer predisposed towards policy firming. Market participants are likely to interpret
such a statement as implying that the Committee might ease rates sooner than they
had previously thought—and perhaps by even more than the half point reduction
already built in for 2007. As a result, near-term policy expectations would probably
move lower and shorter-term Treasury yields decline. The value of the dollar on
foreign exchange markets would likely edge lower and stock prices rally. The
implications for long-term yields would depend on whether the statement caused
investors to adjust their views about the Committee’s longer-term inflation intentions
or the appropriate path for the real interest rate.
(24)

If the Committee expected higher inflation than the staff, or if it thought

the Greenbook forecast was broadly plausible but viewed inflation as remaining
unacceptably high, it might wish to raise the target federal funds rate to 5½ percent at
this meeting, as in Alternative C. This alternative might be favored if the factors
underlying the increase in core inflation in the first half of this year were viewed as
likely to be more persistent than envisaged in the staff’s projection, perhaps reflecting
an increase in inflation expectations as illustrated in the “Higher expected inflation”
simulation presented in the Greenbook. In that regard, the Committee may be
concerned that the current level of inflation expectations is already somewhat higher
than the objectives cited by a number of policymakers. (The box on the following
page discusses various measures of inflation expectations.) Even if the Committee
shares the staff’s view that inflation is likely to decline gradually over the forecast, it
may view the pace of that decline, in which core PCE inflation is projected to remain

Class I FOMC - Restricted Controlled (FR)

Page 25 of 42

Estimates
of inflation expectations
fall
The level of inflation expectations is a key factor affecting monetary policy. Estimates of
such expectations can potentially be gleaned from surveys and financial asset prices. But
given various technical and measurement issues, these indicators do not typically provide a
clean read of investors’ expectations of core inflation.
The difference between yields on nominal Treasury securities and those on TIPS contains
information about investors’ inflation expectations. However, a number of adjustments are
necessary to translate the raw spread between nominal and real yields into an estimate of
core PCE inflation expectations:
• First, the raw spread includes a liquidity premium. Although the liquidity premium in
TIPS is estimated to have declined notably over time, and by some recent
calculations now stands very close to zero, this issue somewhat complicates any
reading of inflation expectations.
• Second, TIPS compensate investors for inflation with a two-and-a-half month lag,
and hence raw prices partially reflect inflation that has already occurred. Adjustments
for these “carry effects” are straightforward but imprecise.
• Third, TIPS payments are based on the non-seasonally-adjusted headline CPI, not
the core PCE. The staff’s forecasts of these two series can be used to translate
between price indexes under the assumption that financial markets have a similar
assessment.
• Fourth, the raw spread includes an inflation risk premium. To separate inflation risk
premiums from expected inflation, Board staff employs a number of methods based
on affine term structure models that are necessarily model dependent.
After considering these adjustments and based on the most recently observed differences
between yields on nominal Treasury securities and TIPS, the staff’s point estimates of
expected core PCE inflation from the very near term to ten years ahead vary between about
2.0 and 2.4 percent. However, the caveats associated with these adjustments suggest
substantial confidence intervals around these point estimates.
The Desk’s recent survey includes primary dealers’ forecasts of quarterly core PCE price
inflation from the current quarter through the first quarter of 2008, and the average
projection across that horizon also ranged from about 2.0 percent to 2.4 percent. The
monthly Michigan Survey does not refer to a specific price index, but regressions can be
used to infer anticipated core PCE inflation from the survey responses. The most recent
reading of 2.9 percent over the next twelve months implies expected core PCE inflation of
approximately 2.6 percent over the same period. Unfortunately, limited data preclude a
similar mapping for longer-run expectations. Finally, assuming the staff’s presumed
discrepancy between headline CPI and core PCE, inflation expectations for 2007 and over
the next ten years from the August Survey of Professional Forecasters are about 2.4 and
2.1 percent, respectively.

Class I FOMC - Restricted Controlled (FR)

Page 26 of 42

above 2 percent beyond 2008, as unacceptably slow. In the medium-term strategies
presented earlier, for example, bringing inflation below 2 percent in the next few years
involves raising the federal funds rate to about 6 percent over the next several
quarters.
(25)

In the statement accompanying Alternative C, the discussion of growth

could be identical to that proposed for Alternative B. However, in the second half of
the inflation paragraph, rather than listing the various factors contributing to the
expected moderation in inflation, the Committee could posit that “Inflation pressures
seem likely to moderate over time, but the extent and speed of that moderation is
uncertain.” The discussion of inflation could conclude by stating that “In these
circumstances, the Committee believed that an additional firming of policy was
appropriate to bolster progress towards achieving price stability.” If, despite the
firming in policy, the Committee continued to be predominantly concerned with
inflation risks, it presumably would want to leave the risk assessment tilted as was
proposed for Alternative B. However, that sentiment could perhaps be conveyed
more strongly to market participants by adopting the language in paragraph 20 earlier
in this Bluebook noting that the Committee “both seeks and expects a gradual
reduction in inflation.”
(26)

The tightening of policy envisaged under Alternative C would catch market

participants unawares. Investors would revise up sharply their expectations for the
path of policy over the next year or so. Short- and medium-term nominal and real
rates would rise markedly. Nominal long-term yields would probably decline if
market participants concluded that the FOMC was seeking a steeper decline in
inflation or had a lower objective for inflation than they previously thought. With real
rates higher, the foreign exchange value of the dollar would likely rise, and equity
prices would probably decline, perhaps sharply.

Class I FOMC - Restricted Controlled (FR)

Page 27 of 42

Money and Debt Forecasts
(27)

Under the Greenbook forecast, M2 is projected to expand at around a

4 percent annual rate in the second half of 2006, reflecting moderate growth in
nominal income and the restraining effects of past policy tightening. However, as
opportunity costs gradually decline given the assumed path of the federal funds rate,
M2 growth picks up to around a 5 percent annual rate in 2007 and 2008.
(28)

Growth of domestic nonfinancial sector debt is expected to slow to an

annual rate of around 6¼ percent on average over the forecast horizon, down from
growth of 9½ percent in 2005. The growth of home mortgage debt is expected to
step down considerably, reflecting both a deceleration in house prices and declining
residential investment. Business debt growth remains moderate over the forecast
period, as profits flatten out and firms draw on their accumulated cash to finance
growing investment spending. With the budget deficit projected to widen some over
the next two years, federal government debt is forecast to expand 6 percent in 2007
and 2008, up from the 4½ percent increase expected in 2006.

Class I FOMC - Restricted Controlled (FR)

Page 28 of 42

Table 2
M2 Growth Under Alternative Policy Paths
No Change

25 bp Tightening

Greenbook Forecast*

Money Growth Rates
Oct-05
Nov-05
Dec-05
Jan-06
Feb-06
Mar-06
Apr-06
May-06
Jun-06
Jul-06
Aug-06
Sep-06
Oct-06
Nov-06
Dec-06
Jan-07
Feb-07
Mar-07

5.5
3.5
4.8
10.8
4.0
3.0
3.2
1.0
5.2
3.7
4.2
2.7
6.2
3.7
3.7
4.0
4.3
4.6

5.5
3.5
4.8
10.8
4.0
3.0
3.2
1.0
5.2
3.7
4.2
2.7
6.2
3.3
2.9
3.2
3.6
4.1

5.5
3.5
4.8
10.8
4.0
3.0
3.2
1.0
5.2
3.7
4.2
2.7
6.2
3.7
3.7
4.0
4.3
4.6

Quarterly Growth Rates
2006 Q1
2006 Q2
2006 Q3
2006 Q4
2007 Q1
2007 Q2

6.3
3.0
3.8
4.4
4.0
4.8

6.3
3.0
3.8
4.2
3.3
4.3

6.3
3.0
3.8
4.4
4.0
4.8

Annual Growth Rates
2005
2006
2007
2008

4.0
4.4
4.8
5.1

4.0
4.4
4.5
5.1

4.0
4.4
4.8
5.3

Growth From
Oct-06

To
Mar-07

4.1

3.4

4.1

2005 Q4

2006 Q3

4.4

4.4

4.4

* This forecast is consistent with nominal GDP and interest rates in the Greenbook forecast.

Class I FOMC - Restricted Controlled (FR)

Page 29 of 42

Directive and Balance of Risks Statement
(29)

Draft language for the directive and draft risk assessments identical to those

presented in Table 1 are provided below.

Directive Wording
The Federal Open Market Committee seeks monetary and financial
conditions that will foster price stability and promote sustainable growth
in output. To further its long-run objectives, the Committee in the
immediate future seeks conditions in reserve markets consistent with
maintaining/INCREASING/REDUCING the federal funds rate at/TO
an average of around ________ 5¼ percent.

Risk Assessments
A. In these circumstances, future policy adjustments will depend on the
evolution of the outlook for inflation and economic growth, as implied
by incoming information.
B. Nonetheless, the Committee judges that some inflation risks remain.
The extent and timing of any additional firming that may be needed to
address these risks will depend on the evolution of the outlook for both
inflation and economic growth, as implied by incoming information.
C. Although the Committee both seeks and expects a gradual reduction in
inflation, it continues to view the risks to that outcome as remaining to
the upside. The extent and timing of any additional firming that may be
needed to address these risks will depend on the evolution of the
outlook for both inflation and economic growth, as implied by incoming
information.

Class I FOMC - Restricted Controlled (FR)

Page 30 of 42

Appendix A: Measures of the Equilibrium Real Rate
The equilibrium real rate is the real federal funds rate that, if maintained, would be projected to return
output to its potential level over time. The short-run equilibrium rate is defined as the rate that would
close the output gap in twelve quarters given the corresponding model’s projection of the economy.
The medium-run concept is the value of the real federal funds rate projected to keep output at potential
in seven years, under the assumption that monetary policy acts to bring actual and potential output into
line in the short run and then keeps them equal thereafter. The TIPS-based factor model measure
provides an estimate of market expectations for the real federal funds rate seven years ahead.
The actual real federal funds rate is constructed as the difference between the nominal rate and realized
inflation, where the nominal rate is measured as the quarterly average of the observed federal funds rate,
and realized inflation is given by the log difference between the staff’s estimate of the core PCE price
index and its lagged value four quarters earlier. For the current quarter, the nominal rate is specified as
the target federal funds rate on the Bluebook publication date.
Confidence intervals reflect uncertainties about model specification, coefficients, and the level of
potential output. The final column of the table indicates the values for the current quarter based on
the estimation for the previous Bluebook, except that the TIPS-based measure and the actual real funds
rate are the values published in the previous Bluebook.
Measure

Description

Single-equation
Model

The measure of the equilibrium real rate in the single-equation model is based on an
estimated aggregate-demand relationship between the current value of the output gap and
its lagged values as well as the lagged values of the real federal funds rate.

Small Structural The small-scale model of the economy consists of equations for five variables: the output
gap, the equity premium, the federal budget surplus, the trend growth rate of output, and
Model
the real bond yield.
Large Model
(FRB/US)

Estimates of the equilibrium real rate using FRB/US—the staff’s large-scale econometric
model of the U.S. economy—depend on a very broad array of economic factors, some of
which take the form of projected values of the model’s exogenous variables.

Greenbookconsistent

The FRB/US model is used in conjunction with an extended version of the Greenbook
forecast to derive a Greenbook-consistent measure. FRB/US is first add-factored so that
its simulation matches the extended Greenbook forecast, and then a second simulation is
run off this baseline to determine the value of the real federal funds rate that closes the
output gap.

TIPS-based
Factor Model

Yields on TIPS (Treasury Inflation-Protected Securities) reflect investors’ expectations of
the future path of real interest rates, but also include term and liquidity premiums. The
TIPS-based measure of the equilibrium real rate is constructed using the seven-year-ahead
instantaneous real forward rate derived from TIPS yields as of the Bluebook publication
date. This forward rate is adjusted to remove estimates of the term and liquidity
premiums based on a three-factor arbitrage-free term-structure model applied to TIPS
yields, nominal yields, and inflation. Because TIPS indexation is based on the total CPI,
this measure is also adjusted for the medium-term difference—projected at 40 basis
points—between total CPI inflation and core PCE inflation.

Class I FOMC - Restricted Controlled (FR)

Page 31 of 42

Appendix B: Analysis of Policy Paths and Confidence Intervals
Rule Specifications: For the following rules, it denotes the federal funds rate for quarter t, while
the explanatory variables include the staff’s projection of trailing four-quarter core PCE inflation (πt),
inflation two and three quarters ahead (πt+2|t and πt+3|t), the output gap in the current period and one
quarter ahead ( yt − yt* and yt +1|t − yt*+1|t ), and the three-quarter-ahead forecast of annual average GDP
growth relative to potential ( Δ 4 yt +3|t − Δ 4 yt*+3|t ), and π * denotes an assumed value of policymakers’
long-run inflation objective. The outcome-based and forecast-based rules were estimated using realtime data over the sample 1988:1-2005:4; each specification was chosen using the Bayesian information
criterion. Each rule incorporates a 75 basis point shift in the intercept, specified as a sequence of
25 basis point increments during the first three quarters of 1998. The first two simple rules were
proposed by Taylor (1993, 1999), while the third is a variant of the Taylor (1999) rule—introduced
in the August Bluebook—with a higher value of r*. The prescriptions of the first-difference rule do
not depend on assumptions regarding r* or the level of the output gap; see Orphanides (2003).
Outcome-based rule

it = 1.17it-1–0.37it-2+0.20[1.04 + 1.76 πt + 3.32( yt − yt* ) – 2.37( yt −1 − yt*−1 )]

Forecast-based rule

it = 1.16it-1–0.36it-2+0.20[0.89+ 1.74 πt+2|t+2.32( yt +1|t − yt*+1|t )–1.40( yt −1 − yt*−1 )]

Taylor (1993) rule

it = 2 + πt + 0.5(πt – π * ) + 0.5( yt − yt* )

Taylor (1999) rule

it = 2 + πt + 0.5(πt – π * ) + ( yt − yt* )

Taylor (1999) rule
with higher r*

it = 2.75 + πt + 0.5(πt – π * ) + ( yt − yt* )

First-difference rule

it = it-1 + 0.5(πt+3|t – π * ) + 0.5( Δ 4 yt +3|t − Δ 4 yt*+3|t )

FRB/US Model Simulations: Prescriptions from the two empirical rules are computed using dynamic
simulations of the FRB/US model, implemented as though the rule is followed starting at this FOMC
meeting. This quarter’s prescription is a weighted average of the actual value of the federal funds rate
thus far this quarter and the value obtained from the FRB/US model simulations using the timing of this
meeting within the quarter to determine the weights. Confidence intervals are based on stochastic
simulations of the FRB/US model with shocks drawn from the estimated residuals over 1986-2004.
Information from Financial Markets: The expected funds rate path is based on federal funds
and Eurodollar futures quotes. The confidence intervals for this path are obtained from prices of
at-the-money options contracts that are traded on the Chicago Mercantile Exchange.
Near-Term Prescriptions of Simple Policy Rules: These prescriptions are calculated using Greenbook
projections for inflation and the output gap. The first-difference rule’s one-quarter-ahead prescription is
computed using that rule’s prescription for the current quarter.
References:
Taylor, John B. (1993) “Discretion versus policy rules in practice,” Carnegie-Rochester Conference
Series on Public Policy, vol. 39 (December), pp. 195-214.
————— (1999). “A Historical Analysis of Monetary Policy Rules,” in John B. Taylor, ed.,
Monetary Policy Rules. The University of Chicago Press, pp. 319-341.
Orphanides, Athanasios (2003). “Historical Monetary Policy Analysis and the Taylor Rule,” Journal of
Monetary Economics, vol. 50 (July), pp. 983-1022.

Appendix C Table 1

Class I FOMC - Restricted Controlled (FR)

Page 32 of 42

Selected Interest Rates
(Percent)
Short-term
Treasury bills
secondary market

Federal
funds
1

Long-term
CDs
secondary
market

Comm.
paper

Off-the-run Treasury yields

Indexed yields

Moody’s
Baa

Municipal
Bond
Buyer

Conventional home
mortgages
primary market

4-week

3-month

6-month

3-month

1-month

2-year

5-year

10-year

20-year

5-year

10-year

Fixed-rate

ARM

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

05 -- High
-- Low

4.30
2.19

4.01
1.86

4.08
2.31

4.37
2.63

4.49
2.50

4.30
2.24

4.52
3.11

4.59
3.58

4.79
3.97

5.04
4.28

2.11
0.98

2.22
1.50

6.48
5.64

5.24
4.72

6.37
5.53

5.22
4.10

06 -- High
-- Low
Monthly
Oct 05
Nov 05
Dec 05

5.34
4.22

5.20
3.91

5.13
4.17

5.33
4.37

5.50
4.50

5.30
4.22

5.32
4.34

5.20
4.28

5.32
4.42

5.45
4.59

2.60
1.82

2.68
1.94

6.94
6.17

5.31
4.76

6.80
6.10

5.83
5.15

3.78
4.00
4.16

3.49
3.91
3.67

3.79
3.97
3.98

4.13
4.30
4.33

4.13
4.31
4.45

3.84
4.01
4.23

4.31
4.44
4.43

4.34
4.46
4.39

4.56
4.66
4.57

4.77
4.85
4.76

1.69
1.96
2.07

1.94
2.09
2.15

6.30
6.39
6.32

5.13
5.22
5.18

6.07
6.33
6.27

4.86
5.14
5.17

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Weekly
Aug
Aug
Sep
Sep
Sep
Sep
Sep
Oct
Oct
Oct
Daily
Oct
Oct
Oct
Oct
Oct
Oct
Oct
Oct
Oct
Oct
Oct
Oct
Oct

4.29
4.49
4.59
4.79
4.94
4.99
5.24
5.25
5.25

4.10
4.38
4.55
4.60
4.69
4.71
4.89
5.17
4.76

4.34
4.54
4.63
4.72
4.84
4.92
5.08
5.09
4.93

4.47
4.69
4.79
4.90
5.01
5.18
5.27
5.17
5.08

4.56
4.72
4.88
5.03
5.15
5.35
5.46
5.38
5.34

4.36
4.47
4.61
4.80
4.95
5.12
5.24
5.22
5.21

4.42
4.69
4.77
4.92
5.00
5.15
5.15
4.93
4.78

4.35
4.60
4.72
4.90
4.98
5.04
5.02
4.79
4.64

4.50
4.66
4.82
5.07
5.19
5.18
5.15
4.94
4.80

4.67
4.75
4.93
5.24
5.36
5.30
5.26
5.09
4.94

1.92
1.97
2.08
2.25
2.26
2.41
2.43
2.24
2.35

2.03
2.06
2.21
2.41
2.45
2.54
2.52
2.32
2.35

6.24
6.27
6.41
6.68
6.75
6.78
6.76
6.59
6.43

5.11
5.12
5.10
5.19
5.24
5.24
5.21
4.98
4.82

6.15
6.25
6.32
6.51
6.60
6.68
6.76
6.52
6.40

5.17
5.34
5.42
5.62
5.63
5.71
5.79
5.64
5.56

06
06
06
06
06
06
06
06
06
18
25
1
8
15
22
29
6
13
20

06
06
06
06
06
06
06
06
06
06

5.23
5.25
5.26
5.24
5.24
5.24
5.29
5.28
5.24
--

5.16
5.17
5.15
4.89
4.78
4.72
4.61
4.73
4.88
5.03

5.10
5.10
5.06
4.97
4.93
4.94
4.88
4.92
5.03
5.09

5.19
5.17
5.14
5.12
5.11
5.07
5.01
5.02
5.11
5.15

5.37
5.36
5.35
5.34
5.35
5.34
5.32
5.32
5.33
5.33

5.22
5.21
5.20
5.21
5.20
5.20
5.22
5.19
5.20
5.21

4.95
4.89
4.84
4.82
4.84
4.78
4.69
4.68
4.87
4.87

4.81
4.73
4.70
4.71
4.71
4.63
4.53
4.54
4.72
4.72

4.97
4.88
4.85
4.88
4.87
4.79
4.68
4.70
4.85
4.85

5.12
5.04
4.99
5.02
5.00
4.92
4.82
4.85
5.00
5.00

2.24
2.23
2.27
2.33
2.39
2.40
2.29
2.35
2.51
2.54

2.33
2.27
2.29
2.36
2.39
2.37
2.29
2.33
2.47
2.48

6.61
6.53
6.50
6.52
6.49
6.40
6.32
6.36
6.50
--

4.97
4.93
4.91
4.88
4.85
4.79
4.77
4.77
4.76
--

6.52
6.48
6.44
6.47
6.43
6.40
6.31
6.30
6.37
6.36

5.65
5.60
5.59
5.63
5.60
5.54
5.47
5.46
5.56
5.57

3
4
5
6
9
10
11
12
13
16
17
18
19

06
06
06
06
06
06
06
06
06
06
06
06
06

5.25
5.23
5.23
5.22
5.22
5.28
5.25
5.25
5.21
5.28
5.21
5.23
5.24 p

4.70
4.77
4.80
4.74
-4.78
4.90
4.93
4.92
5.00
5.06
5.05
5.02

4.91
4.93
4.94
4.94
-5.00
5.02
5.06
5.05
5.09
5.09
5.09
5.10

5.02
5.00
5.03
5.05
-5.09
5.10
5.13
5.13
5.15
5.15
5.14
5.16

5.33
5.32
5.31
5.33
-5.32
5.32
5.33
5.33
5.32
5.32
5.33
5.33

5.22
5.21
5.20
5.10
-5.21
5.20
5.19
5.20
5.22
5.19
---

4.68
4.62
4.67
4.76
-4.83
4.87
4.87
4.89
4.88
4.86
4.86
4.88

4.54
4.48
4.53
4.63
-4.69
4.72
4.72
4.74
4.73
4.71
4.70
4.73

4.69
4.65
4.69
4.78
-4.83
4.86
4.85
4.88
4.86
4.85
4.84
4.86

4.84
4.80
4.85
4.93
-4.97
5.00
5.00
5.03
5.01
5.00
4.98
5.00

2.35
2.32
2.34
2.43
-2.48
2.52
2.51
2.54
2.52
2.53
2.56
2.58

2.32
2.30
2.32
2.39
-2.44
2.48
2.48
2.49
2.47
2.48
2.49
2.52

6.34
6.31
6.35
6.43
-6.47
6.51
6.50
6.53
6.50
6.49
6.47
--

--------------

--------------

--------------

NOTE: Weekly data for columns 1 through 13 are week-ending averages. Columns 2 through 4 are on a coupon equivalent basis. Data in column 6 are interpolated from data on certain commercial paper trades settled by the
Depository Trust Company. Column 14 is the Bond Buyer revenue index, which is a 1-day quote for Thursday. Column 15 is the average contract rate on new commitments for fixed-rate mortgages (FRMs) with 80 percent
loan-to-value ratios at major institutional lenders. Column 16 is the average initial contract rate on new commitments for 1-year, adjustable-rate mortgages (ARMs) at major institutional lenders offering both FRMs and
ARMs with the same number of discount points.
MFMA
p - preliminary data

Class I FOMC - Restricted Controlled (FR)

Page 33 of 42
Appendix C Table 2

Money Aggregates
Seasonally Adjusted

Period

M2

1

2

Nontransactions
Components in M2
3

Annual growth rates (%):
Annually (Q4 to Q4)
2003
2004
2005

7.4
5.4
0.3

5.6
5.3
4.0

5.1
5.3
5.1

Quarterly (average)
2005-Q4
2006-Q1
Q2
Q3 p

-0.1
2.2
0.9
-4.7

5.0
6.3
3.0
3.8

6.4
7.4
3.5
5.9

Monthly
2005-Sep.
Oct.
Nov.
Dec.

-3.8
1.7
0.7
-5.8

5.5
5.5
3.5
4.8

7.9
6.5
4.2
7.6

10.3
-4.1
7.9
1.8
5.5
-19.6
2.6
-2.8
-10.9

10.8
4.0
3.0
3.2
1.0
5.2
3.7
4.2
2.7

10.9
6.1
1.7
3.6
-0.1
11.6
4.0
5.9
6.2

1393.1
1370.4
1373.4
1370.2
1357.8

6787.8
6817.3
6838.6
6862.3
6878.0

5394.7
5447.0
5465.2
5492.0
5520.2

1388.9
1351.0
1345.3
1360.2

6891.0
6860.0
6881.1
6889.5

5502.1
5509.0
5535.8
5529.3

1367.7
1378.6

6903.2
6934.0

5535.5
5555.4

2006-Jan.
Feb.
Mar.
Apr.
May
June
July
Aug.
Sep. p
Levels ($billions):
Monthly
2006-May
June
July
Aug.
Sep. p
Weekly
2006-Sep.

Oct.

p

M1

preliminar y

4
11
18
25
2p
9p

Class I FOMC - Restricted Controlled (FR)

Page 34 of 42
Appendix C Table 3
Changes in System Holdings of Securities 1
(Millions of dollars, not seasonally adjusted)

October 19, 2006
Treasury Bills

Treasury Coupons
Net Purchases 3

Net

Redemptions

Net

Purchases 2

(-)

Change

<1

1-5

5-10

Redemptions
(-)

Over 10

Net
Change

Federal

Net change

Agency

total

Redemptions
(-)

outright
holdings 4

Net RPs 5
ShortTerm 6

LongTerm 7

Net
Change

2003
2004

18,150
18,138

-----

18,150
18,138

6,565
7,994

7,814
17,249

4,107
5,763

220
1,364

-----

18,706
32,370

10
---

36,846
50,507

2,223
-2,522

1,036
-331

3,259
-2,853

2005

8,300

---

8,300

2,894

11,309

3,626

2,007

2,795

17,041

---

25,341

-2,415

-192

-2,607

2005 QIII

4,743

---

4,743

1,298

5,025

1,118

90

757

6,774

---

11,517

964

1,538

2,502

QIV

1,512

---

1,512

1,596

2,789

800

902

189

5,897

---

7,410

-1,202

-1,293

-2,496

2006 QI

4,099

---

4,099

1,200

7,443

1,704

1,219

1,321

10,245

---

14,345

793

1,839

2,631

QII
QIII

--1,649

-----

--1,649

1,375
415

6,063
3,323

1,181
548

--228

1,217
3,931

7,402
583

-----

7,402
2,232

-627
-3,229

-4,413
-839

-5,040
-4,068

2006 Feb
Mar

1,308
1,228

-----

1,308
1,228

1,200
---

2,498
2,136

25
174

924
90

-----

4,647
2,400

-----

5,955
3,628

-396
393

-3,672
-232

-4,068
162

Apr
May

-----

-----

-----

--1,375

1,096
2,317

--101

-----

--1,217

1,096
2,576

-----

1,096
2,576

626
-756

-3,995
2,511

-3,368
1,755

Jun
Jul

--1,649

-----

--1,649

-----

2,650
549

1,080
---

-----

--3,931

3,730
-3,382

-----

3,730
-1,733

-2,633
-909

-2,077
110

-4,710
-800

Aug
Sep

-----

-----

-----

415
---

1,454
1,320

--548

--228

-----

1,869
2,096

-----

1,869
2,096

-231
-469

548
-2,291

318
-2,761

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

-6,472
5,587

3,000
---

-3,472
5,587

Aug 9
Aug 16

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

-3,477
3,052

-3,000
1,000

-6,477
4,052

Aug 23
Aug 30

-----

-----

-----

--415

--1,454

-----

-----

-----

--1,869

-----

--1,869

-5,503
4,592

5,000
---

-503
4,592

Sep 6
Sep 13

-----

-----

-----

-----

--1,320

--548

--228

-----

--2,096

-----

--2,096

2,681
-6,144

-2,000
-2,000

681
-8,144

Sep 20
Sep 27

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

1,770
-1,680

-1,000
-2,000

770
-3,680

Oct 4
Oct 11

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

-----

4,465
-2,442

-2,000
4,000

2,465
1,558

Oct 18

---

---

---

---

1,395

33

---

3,749

-2,321

---

-2,321

-2,913

2,000

-913

2006 Oct 19

---

---

---

---

---

---

---

---

---

---

---

3,506

---

3,506

---

---

---

---

1,395

33

---

3,749

-2,321

---

-2,321

5,087

2,000

7,087

277.0

129.1

217.2

61.7

489.6

---

766.7

-21.6

15.0

-6.6

2006 Jul 26
Aug 2

Intermeeting Period
Sep 20-Oct 19
Memo: LEVEL (bil. $)
Oct 19

1. Change from end-of-period to end-of-period. Excludes changes in compensation for the effects of
inflation on the principal of inflation-indexed securities.
2. Outright purchases less outright sales (in market and with foreign accounts).
3. Outright purchases less outright sales (in market and with foreign accounts). Includes short-term notes
acquired in exchange for maturing bills. Excludes maturity shifts and rollovers of maturing issues,
except the rollover of inflation compensation.

81.6
4.
5.
6.
7.

Includes redemptions (-) of Treasury and agency securities.
RPs outstanding less reverse RPs.
Original maturity of 13 days or less.
Original maturity of 14 to 90 days.
MRA:SPS

Class I FOMC - Restricted Controlled (FR)

Page 35 of 42

Appendix C Chart 1

Treasury Yield Curve

Spread Between Ten−Year Treasury Yield and Federal Funds Rate
Percentage points
4

Quarterly

2

0

+

−2

−4
1960

1964

1968

1972

1976

1980

1984

1988

1992

1996

2000

2004

+ Denotes most recent weekly value.
Note. Blue shaded regions denote NBER−dated recessions.

Treasury Yield Curve*
Percent
6.0

October 19, 2006
September 19, 2006
5.5

5.0

4.5

4.0

3.5

1

3

5

7

10

20

Maturity in Years
*Smoothed yield curve estimated from off−the−run Treasury coupon securities. Yields shown are those on notional par
Treasury securities with semi−annual coupons.

Class I FOMC - Restricted Controlled (FR)

Page 36 of 42

Appendix C Chart 2

Dollar Exchange Rate Indexes

Nominal

Ratio scale
March 1973=100
150

Monthly

140
130
120
Major
Currencies

110

100

90

+
80
1973

1976

1979

1982

1985

1988

1991

1994

1997

2000

2003

2006

+ Denotes most recent weekly value.

Ratio scale
March 1973=100

Real

140

Monthly

130
120
Other Important
110

100
Broad
Major
Currencies

90

80
1973

1976

1979

1982

1985

1988

1991

1994

1997

2000

2003

2006

Note. The major currencies index is the trade−weighted average of currencies of the euro area, Canada, Japan,
the U.K., Switzerland, Australia, and Sweden. The other important trading partners index is the trade−weighted
average of currencies of 19 other important trading partners. The Broad index is the trade−weighted average of
currencies of all important trading partners. Real indexes have been adjusted for relative changes in U.S. and
foreign consumer prices. Blue shaded regions denote NBER−dated recessions.

Class I FOMC - Restricted Controlled (FR)

Page 37 of 42

Appendix C Chart 3

Stock Indexes

Nominal

Ratio scale
1941−43=10

Ratio
45

2000

Monthly

+

40
S&P 500

1500
1000

35
30

500

25
P/E Ratio*
250

20

+

15
125
10
5
0
1960

1964

1968

1972

1976

1980

1984

1988

1992

1996

2000

2004

* Based on trailing four−quarter earnings.
+ Denotes most recent weekly value.

Real

Ratio scale
1941−43=10
160
140

Monthly

120

+

100
80
60

S&P 500*

40

20
1960

1964

1968

1972

1976

1980

* Deflated by the CPI.
+ Denotes most recent weekly value.
Note. Blue shaded regions denote NBER−dated recessions.

1984

1988

1992

1996

2000

2004

Class I FOMC - Restricted Controlled (FR)

Page 38 of 42

Appendix C Chart 4

One−Year Real Interest Rates

One−Year Treasury Constant Maturity Yield Less One−Year Inflation Expectations (Michigan Survey)*
Percent
8

Monthly

4

+
0

−4
1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

2005

* Mean value of respondents.

One−Year Treasury Constant Maturity Yield Less One−Year Inflation Expectations (Philadelphia Fed)*
Percent
8

Monthly
GDP Deflator

4

+
+
CPI

0

−4
1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

2005

* ASA/NBER quarterly survey until 1990:Q1; Philadelphia Federal Reserve Bank Survey of Professional Forecasters
thereafter. Median value of respondents.

One−Year Treasury Constant Maturity Yield Less Change in the Core CPI from Three Months Prior
Percent
8

Monthly

4

+
0

−4
1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

+ Denotes most recent weekly Treasury constant maturity yield less most recent inflation expectation.
Note. Blue shaded regions denote NBER−dated recessions.

2005

Class I FOMC - Restricted Controlled (FR)

Page 39 of 42

Appendix C Chart 5

Long−Term Real Interest Rates*

Real Ten−Year Treasury Yields
Percent
10

Monthly

8
Real rate using
Philadelphia Fed Survey
6
Ten−year TIPS yield
4

+
+

Real rate using
Michigan Survey

2

+
0

1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

2005

Nominal and Real Corporate Bond Rates
Percent
14

Monthly

12

Nominal rate on Moody’s
A−rated corporate bonds

10

Real rate using
Philadelphia Fed Survey

8

+

+

Real rate using
Michigan Survey

1985

1987

1989

+
1991

1993

1995

1997

1999

2001

2003

2005

* For real rates, measures using the Philadelphia Fed Survey employ the ten−year inflation expectations from the
Blue Chip Survey until April 1991 and the Philadelphia Federal Reserve Bank Survey of Professional Forecasters
thereafter (median value of respondents). Measures using the Michigan Survey employ the five− to ten−year
inflation expectations from that survey (mean value of respondents).
+ For TIPS and nominal corporate rate, denotes the most recent weekly value. For other real rate series, denotes
the most recent weekly nominal yield less the most recent inflation expectation.
Note. Blue shaded regions denote NBER−dated recessions.

6

4

2

Class I FOMC - Restricted Controlled (FR)

Page 40 of 42

Appendix C Chart 6

Commodity Price Measures

Journal of Commerce Index
Ratio scale, index (1980=100)
200
180

Weekly

160
140
120
Metals

100

Total

80

1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

2005

CRB Spot Industrials
Ratio scale, index (1967=100)
450

Weekly

400
350
300

250

1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

2005

CRB Futures
Ratio scale, index (1967=100)
450

Weekly

400
350
300
250

200
1985

1987

1989

1991

1993

1995

Note. Blue shaded regions denote NBER−dated recessions.

1997

1999

2001

2003

2005

Class I FOMC - Restricted Controlled (FR)

Page 41 of 42

Appendix C Chart 7

Growth of M2

Nominal M2
Percent
14

Quarterly

12

10

8

6

4

2

0
1960

1963

1966

1969

1972

1975

1978

1981

1984

1987

1990

1993

1996

1999

2002

2005

2008

Real M2
Percent
10

Quarterly

5

0

−5

1960

1963

1966

1969

1972

1975

1978

1981

1984

1987

1990

1993

1996

1999

2002

2005

2008

Note. Four−quarter moving average. Blue shaded regions denote NBER−dated recessions. Gray areas denote
projection period. Real M2 is deflated by CPI.

Class I FOMC - Restricted Controlled (FR)

Page 42 of 42

Appendix C Chart 8

Inflation Indicator Based on M2
Price Level

Ratio scale
140

Quarterly

120
100
Implicit GDP
price deflator (P)

80

Long-run equilibrium
price level (P*)

60

40

1965

1968

1971

1974

1977

1980

1983

1986

1989

1992

1995

1998

2001

2004

Inflation 1

2007

Percent
12

Quarterly

10

8

6

4

2

1965

1968

1971

1974

1977

1980

1983

1986

1989

1992

1995

1998

2001

2004

2007

1. Change in the implicit GDP price deflator over the previous four quarters.
Note: P* is defined to equal M2 times V* divided by potential GDP. V*, or long-run velocity, is estimated
using average velocity over the 1959:Q1-to-1989:Q4 period and then, after a break, over the interval from
1993:Q1 to the present. For the forecast period, P* is based on the staff M2 forecast and P is simulated using a
short-run dynamic model relating P to P*. Blue areas indicate periods in which P* is notably less than P.
Gray areas denote the projection period.