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MonetaryTrends
October 2010

Deflation and the Fisher Equation

I

1990s, the ex post real federal funds rate was 2.18 percent
rving Fisher (1867-1947), one of America’s greatest
and, in the 1980s, it was a whopping 4.61 percent.
monetary economists, is famous for many reasons.
With the federal funds rate near zero since December
One of the most important is the Fisher equation,
2008 and expected to remain there for the next year or two,
which states that the nominal interest rate is equal to the
real interest rate plus the expected inflation rate. This is a the Fisher equation has important implications for the expected
inflation rate. If the real economy is currently rebounding to
statement about equilibrium in the market for bonds, not
a sustainable growth trend, the real interest rate will rise and
about the factors that determine these two components.
the only outcomes possible will be either a higher nominal
Depending on which market rate is used, the expected
federal funds rate or a negative expected inflation rate.
real return will include a premium for various sources of
The current consensus is that the Federal Open Market
risk. For most of post-WWII U.S. history, estimates of
Committee cannot raise interest rates because the unemploythis risk premium in the federal funds market have been
ment rate is so high. The unemployment rate, however, is a
small relative to estimates of the risk-free real interest
poor guide for setting the policy rate during a recovery
rate and the expected inflation rate, so they are ignored
because unemployment lags growth in gross domestic prodin this essay.
uct. The high unemployment rate will persist even as the
The chart shows the Fed’s policy rate—the federal
economy recovers and real interest rates rise. So, according
funds rate—and the consumer price index (CPI) inflation
to Irving Fisher, one reason to worry about deflation is that
trend. The trend is measured as a 25-month centered movthe federal funds rate is expected to be held near zero as the
ing average. We use a 25-month window to filter out the
economy grows out of this recession.
noise or temporary deviations associated with temporary
shocks and measurement error. The Blue Chip Consensus
—William T. Gavin
forecast is used as the inflation rate for the next 12 months
to make the calculation current; that is, the last value in
the chart is the monthly average of actual inflation
from July 2009 through July 2010 and the Blue
Chip Consensus monthly forecasts of CPI inflation
CPI Inflation and the Federal Funds Rate
through July 2011 (shown at an annual rate).
Percent Annual Rate
Since January 2000, the average federal funds
7
rate has been 2.80 percent and the average CPI
6
inflation rate has been 2.50 percent. The ex post
Federal Funds Rate
real federal funds rate has been 0.30 percent. The
5
low real interest rate is associated with a decade
4
bracketed by two recessions and, consequently,
relatively low economic growth. Looking back to
3
the 1990s when real growth was surprisingly rapid,
2
the average federal funds rate was 5.15 percent
1
while the inflation rate averaged 2.97 percent. Yet,
CPI Inflation Trend
these values were low compared with the 1980s—
0
the average federal funds rate was 9.97 percent and
–1
the average inflation rate was 5.36 percent. In the
2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010

Views expressed do not necessarily reflect official positions of the Federal Reserve System.

research.stlouisfed.org

Contents
Page
3
4
6
7
8
9
10
11
12
14
15
16
18

Monetary and Financial Indicators at a Glance
Monetary Aggregates and Their Components
Reserves Markets and Short-Term Credit Flows
Senior Loan Officer Opinion Survey on Bank Lending Practices
Measures of Expected Inflation
Interest Rates
Policy-Based Inflation Indicators
Implied Forward Rates, Futures Contracts, and Inflation-Indexed Securities
Velocity, Gross Domestic Product, and M2
Bank Credit
Stock Market Index and Foreign Inflation and Interest Rates
Reference Tables
Definitions, Notes, and Sources

Conventions used in this publication:
1. Unless otherwise indicated, data are monthly.
2. Shaded areas indicate recessions, as determined by the National Bureau of Economic Research.
3. Percent change at an annual rate is the simple, not compounded, monthly percent change multiplied by 12. For
example, using consecutive months, the percent change at an annual rate in x between month t –1 and the current
month t is: [(xτ /x τ – 1 )–1] × 1200. Note that this differs from National Economic Trends. In that publication, monthly
percent changes are compounded and expressed as annual growth rates.
4. The percent change from year ago refers to the percent change from the same period in the previous year. For example,
the percent change from year ago in x between month t –12 and the current month t is: [(xτ /x τ – 12 )–1] × 100.
We welcome your comments addressed to:
Editor, Monetary Trends
Research Division
Federal Reserve Bank of St. Louis
P.O. Box 442
St. Louis, MO 63166-0442

On March 23, 2006, the Board of Governors of the
Federal Reserve System ceased the publication of the
M3 monetary aggregate. It also ceased publishing
the following components: large-denomination time
deposits, RPs, and eurodollars.

or to:
stlsFRED@stls.frb.org

Monetary Trends is published monthly by the Research Division of the Federal Reserve Bank of St. Louis. Visit the Research Division’s website at research.stlouisfed.org/publications/mt to
download the current version of this publication or register for e-mail notification updates. For more information on data in the publication, please visit research.stlouisfed.org/fred2 or call
(314) 444-8590.

updated through
09/21/10

Monetary Trends

M2 and MZM

Treasury Yield Curve

Billions of dollars

Percent

9900

5

MZM

Week Ending Friday:
09/18/09
08/20/10
09/17/10

4

8900

3

M2
7900
2

6900

1

2007

2008

2009

5y

2010

7y

10y

Adjusted Monetary Base

Real Treasury Yield Curve

Percent change at an annual rate

Percent

400

3

300

200

20y

Week Ending Friday:
09/18/09
08/20/10
09/17/10

2

100

0

1

-100

-200

0

2007

2008

2009

Reserve Market Rates

7y

10y

20y

Inflation-Indexed Treasury Yield Spreads

Percent

Percent

8
7

5y

2010

2.5

Effective Federal Funds Rate
Intended Federal Funds Rate
Primary Credit Rate

6

Week Ending Friday:
09/18/09
08/20/10
09/17/10

2.0

5
4
3

1.5
2
1
0

1.0

2007

2008

2009

2010

5y

7y

10y

20y

Note: Effective December 16, 2008, FOMC reports the
intended Federal Funds Rate as a range.
Research Division
Federal Reserve Bank of St. Louis

3

updated through
09/21/10

Monetary Trends
M1
Percent change from year ago
21
14
7
0
-7
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

97

98

99

00

01

02

03

04

05

06

07

08

MZM
Percent change from year ago
25
20
15
10
5
0
-5
93

94

95

M2
Percent change from year ago
12
9
6
3
0
-3
93

94

95

Monetary Services Index - M2**
Percent change from year ago
15
10
5
0
-5
91

92

93

94

95

96

**We will not update the MSI series until we revise the code to accomodate the discontinuation of M3.

Research Division

4

Federal Reserve Bank of St. Louis

updated through
09/21/10

Monetary Trends

Adjusted Monetary Base
Percent change from year ago
120
100
80
60
40
20
0
-20
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

Domestic Nonfinancial Debt

Currency Held by the Nonbank Public

Percent change from year ago

Percent change from year ago

40

15

30
10

20

Total

10

5

Federal

0
-10

0
2003

2004

2005

2006

2007

2008

2009

2010

2007

2008

Small Denomination Time Deposits*

Checkable Deposits

Percent change from year ago

Percent change from year ago

25.0

30

12.5

20

0.0

10

-12.5

0

-25.0

2009

2010

2009

2010

2009

2010

-10
2007

2008

2009

2010

2007

2008

Money Market Mutual Fund Shares

Savings Deposits

Percent change from year ago

Percent change from year ago

60

30

Institutional Funds

20

30
10

Retail Funds
0

0
-30

-10
2007

2008

2009

2010

2007

2008

Research Division
Federal Reserve Bank of St. Louis

5

updated through
09/21/10

Monetary Trends
Adjusted and Required Reserves
Billions of dollars
1500

1000

500

Required
|
|
|

Adjusted
0
93

94

95

96

97

98

99

00

01

Total Borrowings, nsa

02

03

04

05

06

07

08

09

10

Excess Reserves plus RCB Contracts

Billions of dollars

Billions of dollars

450

1200

300

800

150

400

0

0
2003

2004

2005

2006

2007

2008

2009

2010

99

00

2003

2004

2005

2006

2007

2008

2009

2010

03

04

05

06

07

08

09

10

06

07

08

09

10

* Data exclude term auction credit

Nonfinancial Commercial Paper
Percent change from year ago
60
30
0
-30
-60
93

94

95

96

97

98

01

02

As of April 10, 2006, the Federal Reserve Board made major changes to its commercial paper calculations.
For more information, please refer to http://www.federalreserve.gov/releases/cp/about.htm.

Consumer Credit
Percent change from year ago
20

10

0

-10
93

94

95

96

97

98

99

00

01

02

03

04

05

Research Division

6

Federal Reserve Bank of St. Louis

updated through
09/21/10

Monetary Trends

Net Percentage of Domestic Banks Tightening Standards for Commercial and Industrial Loans
Percentage

90

Large & Medium Firms

60
30

Small Firms
0
-30
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

Net Percentage of Domestic Banks Tightening Standards for Commercial Real Estate Loans
Percentage

90
60
30
0
-30
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

Net Percentage of Domestic Banks Tightening Standards for Residential Mortgage Loans
Percentage

80
60
40
20
0
-20
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

07

08

09

10

Net Percentage of Domestic Banks Tightening Standards for Consumer Loans
Percentage

80
60
40

Credit Card Loans
20
0

Other Consumer Loans
-20
93

94

95

96

97

98

99

00

01

02

03

04

05

06

Research Division
Federal Reserve Bank of St. Louis

7

updated through
09/21/10

Monetary Trends

CPI Inflation and 1-Year-Ahead CPI Inflation Expectations
Percent
6
5

Humphrey-Hawkins CPI Inflation Range
4
3
2

|
|
|
|
|
|
|
|
|
|
|
|

CPI Inflation
1

University of
Michigan

0
-1
-2

Federal Reserve Bank
of Philadelphia
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

11

The shaded region shows the Humphrey-Hawkins CPI inflation range. Beginning in January 2000, the Humphrey-Hawkins inflation range was reported
using the PCE price index and therefore is not shown on this graph.

10-Year Ahead PCE Inflation Expectations and Realized Inflation
Percent
8

6

4

2

Expected

Realized
0
65

70

75

80

85

90

95

00

05

10

See the notes section for an explanation of the chart.

Treasury Security Yield Spreads

Real Interest Rates

Yield to maturity

Percent, Real rate = Nominal rate less year-over-year CPI inflation
6

6

10-Year less 3-Month T-Bill

4

4
2

1-Year Treasury Yield

2

0

0

||
|
|
|
|
|

10-Year less 3-Year Note

-2

Federal Funds Rate

3-Year less 3-Month T-Bill
-2

01

02

03

04

05

06

07

08

09

10

-4

01

02

03

04

05

06

07

08

09

10

Research Division

8

Federal Reserve Bank of St. Louis

updated through
09/21/10

Monetary Trends

Short-Term Interest Rates
Percent
12
10

Prime Rate

8

90-Day Commercial Paper

6
4

3-Month Treasury Yield

2
0
-2
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

07

08

09

10

Long-Term Interest Rates
Percent
10

Conventional Mortgage
8
|
|
|
|
|
|

6
4

Corporate Aaa

10-Year Treasury Yield

2
93

94

95

96

97

98

99

00

01

02

03

04

05

06

Long-Term Interest Rates

Short-Term Interest Rates

Percent

Percent

10
8

6

90-Day Commercial Paper

4

Corporate Baa

6

2

4

3-Month
Treasury Yield

0

10-Year Treasury Yield
2

-2
2007

2008

2009

2010

2007

2008

2009

2010

FOMC Intended Federal Funds Rate, Discount Rate, and Primary Credit Rate
Percent
8

Intended Federal
Funds Rate

6

Primary Credit
Rate

Discount Rate

4
2
0
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

Research Division
Federal Reserve Bank of St. Louis

9

updated through
09/21/10

Monetary Trends
Federal Funds Rate and Inflation Targets
Percent
10

4% 3% 2% 1% 0%

Target Inflation Rates

5

Actual
0

-5
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

Calculated federal funds rate is based on Taylor's rule.

Components of Taylor's Rule
Actual and Potential Real GDP
PCE Inflation
Billions of chain-weighted 2005 dollars

Percent change from year ago

15000

5

Potential

4

13000

3

Actual

2

11000

1
0

9000

-1
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

See notes section for further explanation.

Monetary Base Growth and Inflation Targets
Percent
30

Target Inflation Rates

Actual

15

0% 1% 2% 3% 4%

0

-15
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

Calculated base growth is based on McCallum's rule. Actual base growth is percent change from the previous quarter.
*Actual values for 2008:Q4, 2009:Q1, and 2009:Q4 are 188.38 percent, 60.77 percent, and 56.51, respectively.

Components of McCallum's Rule
Monetary Base Velocity Growth
Real Output Growth
Percent

Percent

15

Recursive Average

8

10-Year
Moving Average

|

0

|
|

4
-15
-30

0

-45

1-Year
Moving Average

-60

Quarter to Quarter
Growth Rate

-4

-75

-8
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

Research Division

10

Federal Reserve Bank of St. Louis

updated through
09/21/10

Monetary Trends

Implied One-Year Forward Rates

Rates on 3-Month Eurodollar Futures

Percent
6

Percent, daily data
0.56

Week Ending:
09/18/09
08/20/10
09/17/10

5
4

0.49

Nov 2010

3

0.42

|
|
|

2

Oct 2010

0.35
1
0

2y

5y

3y

7y

10y

Sep 2010

0.28
07/19

Rates on Selected
Federal Funds Futures Contracts

07/26

08/02

08/09

08/16

08/23

08/30

09/06

09/13

09/20

Rates on Federal Funds Futures
on Selected Dates

Percent, daily data

Percent

0.22

0.22

07/16/2010
Nov 2010

0.20

0.20

09/17/2010

Sep 2010
0.18

0.18

08/13/2010

Oct 2010
0.16

0.16
07/19

07/26

08/02

08/09

08/16

08/23

08/30

09/06

09/13

Sep

09/20

Oct

Nov

Jan

Dec

Feb

Contract Month

Inflation-Indexed Treasury Securities

Inflation-Indexed Treasury Yield Spreads

Weekly data

Weekly data

Percent

Percent

4.00

4.00

2.67

1.67

1.33

-0.67

20

0.00
2008

15
10

2009
.

2010

2011

Maturity

5

20

-3.00
2008

15
10

2009

2010

.

Note: Yields are inflation-indexed constant maturity
U.S. Treasury securities

2011

5

Horizon

Note: Yield spread is between nominal and inflation-indexed
constant maturity U.S. Treasury securities.

Inflation-Indexed
10-Year Government Notes

Inflation-Indexed
10-Year Government Yield Spreads

Percent, weekly data

Percent, weekly data
5

4

4

3

3

U.S.

2

U.S.

2
1

1

0

0
2006

2007

2008

2009

2010

2006

2007

2008

2009

2010

Note: Data is temporarily unavailable for the French and U.K. 10-Year Notes and Government Yield Spreads.

Research Division
Federal Reserve Bank of St. Louis

11

updated through
09/21/10

Monetary Trends
Velocity
Nominal GDP/MZM, Nominal GDP/M2 (Ratio Scale)
2.75
2.50

MZM

2.25
2.00

M2

1.75

1.50

1.25
12054

93

12419

94

12784

95

13149

96

13515

97

98

13880

14245

99

14610

00

14976

01

15341

02

15706

03

16071

04

16437

05

16802

06

17167

07

17532

08

17898

09

18263

10

18628

Interest Rates
Percent
8

6

3-Month T-Bill
4

M2 Own
2

MZM Own
0

93

94

95

96

97

98

99

00

01

02

04

05

06

07

08

09

MZM Velocity and Interest Rate Spread

M2 Velocity and Interest Rate Spread

Ratio Scale

Ratio Scale

3.50

10

2.25

Velocity = Nominal GDP / M2

Velocity = Nominal GDP / MZM

03

3.00
2.50

2.00

1.50

2.00

1.75

1.50

1974Q1 to 1993Q4
1994Q1 to present

1974Q1 to 1993Q4
1994Q1 to present
1.25

1.00

-1

0
3
5
6
8
9
10 11
1
2
4
7
Interest Rate Spread = 3-Month T-Bill less MZM Own Rate

-1

0
3
5
6
1
2
4
Interest Rate Spread = 3-Month T-Bill less M2 Own Rate

Research Division

12

Federal Reserve Bank of St. Louis

updated through
09/21/10

Monetary Trends

Gross Domestic Product
Percent change from year ago
10
8
6
4
2
0
-2
-4
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

98

99

00

01

02

03

04

05

06

07

08

09

10

Dashed lines indicate 10-year moving averages.

Real Gross Domestic Product
Percent change from year ago
6
3
0
-3
-6
93

94

95

96

97

Dashed lines indicate 10-year moving averages.

Gross Domestic Product Price Index
Percent change from year ago
5
4
3
2
1
0
93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

98

99

00

01

02

03

04

05

06

07

08

09

10

Dashed lines indicate 10-year moving averages.

M2
Percent change from year ago
12
9
6
3
0
93

94

95

96

97

Dashed lines indicate 10-year moving averages.

Research Division
Federal Reserve Bank of St. Louis

13

updated through
09/21/10

Monetary Trends
Bank Credit
Percent change from year ago
15
10
5
0
-5
-10
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2007

2008

2009

2010

2008

2009

2010

Investment Securities in Bank Credit at Commercial Banks
Percent change from year ago
20
15
10
5
0
-5
2001

2002

2003

2004

2005

2006

Total Loans and Leases in Bank Credit at Commercial Banks
Percent change from year ago
15
10
5
0
-5
-10
-15
2001

2002

2003

2004

2005

2006

2007

Commercial and Industrial Loans at Commercial Banks
Percent change from year ago
30
15
0
-15
-30
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

Research Division

14

Federal Reserve Bank of St. Louis

updated through
09/21/10

Monetary Trends

Standard & Poor's 500
1800

150

1440

120

Composite Index
(left)
1080

90

720

60

Price/Earnings Ratio
(right)
360

30

0

0

93

94

95

96

97

98

99

00

01

02

03

04

05

06

07

08

09

10

Recent Inflation and Long-Term Interest Rates
Consumer Price
Inflation Rates
Percent change from year ago
2009Q3
2009Q4
2010Q1

Long-Term
Government Bond Rates
2010Q2

May10

Percent
Jun10
Jul10

Aug10

United States

-1.60

1.46

2.42

1.77

3.42

3.20

3.01

2.70

Canada

-0.87

0.79

1.61

1.40

3.45

3.28

3.20

2.98

France

-0.42

0.36

1.32

1.61

3.08

3.07

.

.

Germany

-0.25

0.44

0.81

1.06

2.73

2.54

2.62

2.35
3.80

Italy
Japan
United Kingdom

0.12

0.65

1.29

1.41

3.99

4.10

4.03

-2.31

-2.03

-1.12

-0.93

1.26

1.08

1.08

.

1.46

2.09

3.26

3.44

3.77

3.57

3.48

3.20

* Copyright , 2010, Organisation for Economic Cooperation and Development, OECD Main Economic Indicators (www.oecd.org).

Inflation and Long-Term Interest Rate Differentials
Percent

Percent

2

4

U.K.
Germany
2
0

U.K.
Canada
0

-2
-2

Germany

Canada

Japan

Inflation differential = Foreign inflation less U.S. inflation
Long-term rate differential = Foreign rate less U.S. rate
-4

Japan
-4

2007

2008

2009

2010

2007

2008

2009

2010

Research Division
Federal Reserve Bank of St. Louis

15

updated through
08/17/10

Monetary Trends
Money Stock

Bank

Adjusted

M1

MZM

M2

M3*

Credit

Monetary Base

Reserves

2005.

1371.536

6709.684

6524.832

9786.477

7015.642

806.623

96.555

343.539

2006.

1374.163

7000.882

6868.752

10270.74

7698.030

835.036

94.909

.

2007.

1372.079

7635.008

7303.199

.

8463.337

850.544

94.159

.

2008.

1432.775

8707.694

7823.088

.

9123.482

1009.767

232.170

.

2009.

1634.804

9537.118

8436.940

.

9193.247

1796.572

944.793

.

MSI M2**

2008

1

1384.590

8384.246

7618.254

.

9001.155

856.263

96.115

.

.

2

1392.557

8664.175

7733.424

.

9004.581

859.333

94.378

.

.

3

1423.718

8773.061

7829.293

.

9072.266

892.762

117.838

.

.

4

1530.237

9009.295

8111.382

.

9415.925

1430.712

620.349

.

2009

1

1578.272

9413.546

8363.350

.

9330.060

1663.022

820.691

.

.

2

1621.078

9550.893

8420.406

.

9285.616

1763.719

917.109

.

.

3

1653.103

9585.002

8442.804

.

9144.193

1747.153

895.408

.

.

4

1686.765

9599.029

8521.200

.

9013.121

2012.393

1145.965

.

2010

1

1702.912

9497.220

8521.489

.

8922.226

2089.181

1216.986

.

.

2

1710.363

9387.769

8563.048

.

9199.405

2034.267

1158.289

.

2008

Jul

1413.845

8768.068

7801.390

.

9027.693

870.707

97.012

.

.

Aug

1398.847

8752.714

7789.624

.

9028.065

871.469

96.673

.

.

Sep

1458.462

8798.402

7896.864

.

9161.040

936.110

159.830

.

.

Oct

1471.733

8845.564

8012.064

.

9498.832

1142.155

347.607

.

.

Nov

1516.921

8971.958

8064.557

.

9389.721

1480.742

674.073

.

.

Dec

1602.056

9210.362

8257.526

.

9359.223

1669.239

839.367

.

2009 Jan

1583.474

9342.150

8318.930

.

9334.898

1730.414

870.183

.

.

Feb

1573.982

9412.811

8358.887

.

9350.707

1590.201

758.628

.

.

Mar

1577.360

9485.677

8412.234

.

9304.574

1668.452

833.261

.

.

Apr

1608.534

9472.155

8366.764

.

9261.193

1787.758

949.349

.

.

May

1608.536

9579.490

8439.162

.

9313.723

1799.320

946.195

.

.

Jun

1646.163

9601.034

8455.293

.

9281.932

1704.080

855.782

.

.

Jul

1649.971

9599.330

8445.331

.

9202.625

1693.690

841.454

.

.

Aug

1648.483

9560.317

8421.966

.

9159.403

1728.096

879.570

.

.

Sep

1660.854

9595.358

8461.114

.

9070.552

1819.673

965.200

.

.

Oct

1676.188

9598.647

8493.987

.

8984.716

1975.377

1122.191

.

.

Nov

1687.511

9605.793

8525.219

.

9043.586

2044.519

1182.207

.

.

Dec

1696.597

9592.648

8544.394

.

9011.060

2017.284

1133.497

.

2010 Jan

1680.757

9522.816

8488.470

.

8942.069

2010.112

1105.430

.

.

Feb

1714.827

9528.544

8549.933

.

8883.944

2150.910

1296.143

.

.

Mar

1713.151

9440.299

8526.064

.

8940.664

2106.522

1249.385

.

.

Apr

1701.691

9349.126

8498.054

.

9255.630

2044.296

1178.953

.

.

May

1706.769

9398.968

8579.979

.

9194.380

2034.542

1149.699

.

.

Jun

1722.630

9415.214

8611.111

.

9148.204

2023.962

1146.215

.

.

Jul

1718.488

9433.686

8610.356

.

9211.634

2015.148

1131.017

.

Note: All values are given in billions of dollars. *See table of contents for changes to the series.
**We will not update the MSI series until we revise the code to accommodate the discontinuation of M3.
Research Division

16

Federal Reserve Bank of St. Louis

updated through
09/08/10

Monetary Trends
Federal

Primary Prime

3-mo

Funds Credit Rate Rate

CDs

3-mo

Treasury Yields
3-yr

10-yr

Corporate

Municipal

Aaa Bonds Aaa Bonds

Conventional
Mortgage

2005.
2006.
2007.
2008.
2009.

3.21
4.96
5.02
1.93
0.16

4.19
5.96
5.86
2.39
0.50

6.19
7.96
8.05
5.09
3.25

3.51
5.15
5.27
2.97
0.56

3.21
4.85
4.47
1.39
0.15

3.93
4.77
4.34
2.24
1.43

4.29
4.79
4.63
3.67
3.26

5.23
5.59
5.56
5.63
5.31

4.28
4.15
4.13
4.58
4.27

5.86
6.41
6.34
6.04
5.04

2008
.
.
.

1
2
3
4

3.18
2.09
1.94
0.51

3.67
2.33
2.25
1.31

6.21
5.08
5.00
4.06

3.23
2.76
3.06
2.82

2.09
1.65
1.52
0.30

2.17
2.67
2.63
1.48

3.66
3.89
3.86
3.25

5.46
5.60
5.65
5.82

4.39
4.43
4.50
5.02

5.88
6.09
6.31
5.87

2009
.
.
.

1
2
3
4

0.18
0.18
0.16
0.12

0.50
0.50
0.50
0.50

3.25
3.25
3.25
3.25

1.08
0.62
0.30
0.22

0.22
0.17
0.16
0.06

1.27
1.49
1.56
1.39

2.74
3.31
3.52
3.46

5.27
5.51
5.27
5.20

4.64
4.43
4.11
3.91

5.06
5.03
5.16
4.92

2010
.

1
2

0.13
0.19

0.61
0.75

3.25
3.25

0.21
0.42

0.11
0.15

1.47
1.38

3.72
3.49

5.29
5.04

3.93
3.83

5.00
4.91

2008 Aug
. Sep

2.00
1.81

2.25
2.25

5.00
5.00

2.79
3.59

1.75
1.15

2.70
2.32

3.89
3.69

5.64
5.65

4.44
4.61

6.48
6.04

Oct
Nov
Dec

0.97
0.39
0.16

1.81
1.25
0.86

4.56
4.00
3.61

4.32
2.36
1.77

0.69
0.19
0.03

1.86
1.51
1.07

3.81
3.53
2.42

6.28
6.12
5.05

5.05
4.83
5.17

6.20
6.09
5.33

2009 Jan
. Feb
. Mar

0.15
0.22
0.18

0.50
0.50
0.50

3.25
3.25
3.25

1.02
1.16
1.07

0.13
0.30
0.22

1.13
1.37
1.31

2.52
2.87
2.82

5.05
5.27
5.50

4.64
4.56
4.74

5.06
5.13
5.00

.
.
.

.
.
.

Apr
May
Jun

0.15
0.18
0.21

0.50
0.50
0.50

3.25
3.25
3.25

0.89
0.57
0.39

0.16
0.18
0.18

1.32
1.39
1.76

2.93
3.29
3.72

5.39
5.54
5.61

4.48
4.26
4.56

4.81
4.86
5.42

.
.
.

Jul
Aug
Sep

0.16
0.16
0.15

0.50
0.50
0.50

3.25
3.25
3.25

0.35
0.30
0.25

0.18
0.17
0.12

1.55
1.65
1.48

3.56
3.59
3.40

5.41
5.26
5.13

4.36
4.17
3.81

5.22
5.19
5.06

.
.
.

Oct
Nov
Dec

0.12
0.12
0.12

0.50
0.50
0.50

3.25
3.25
3.25

0.24
0.21
0.22

0.07
0.05
0.05

1.46
1.32
1.38

3.39
3.40
3.59

5.15
5.19
5.26

3.85
3.99
3.89

4.95
4.88
4.93

2010 Jan
. Feb
. Mar

0.11
0.13
0.16

0.50
0.59
0.75

3.25
3.25
3.25

0.20
0.19
0.23

0.06
0.11
0.15

1.49
1.40
1.51

3.73
3.69
3.73

5.26
5.35
5.27

3.96
3.91
3.91

5.03
4.99
4.97

.
.
.

Apr
May
Jun

0.20
0.20
0.18

0.75
0.75
0.75

3.25
3.25
3.25

0.30
0.45
0.52

0.16
0.16
0.12

1.64
1.32
1.17

3.85
3.42
3.20

5.29
4.96
4.88

3.95
3.75
3.81

5.10
4.89
4.74

.
.

Jul
Aug

0.18
0.19

0.75
0.75

3.25
3.25

0.41
0.32

0.16
0.16

0.98
0.78

3.01
2.70

4.72
4.49

3.69
3.44

4.56
4.43

Note: All values are given as a percent at an annual rate.

Research Division
Federal Reserve Bank of St. Louis

17

updated through
08/17/10

Monetary Trends

M1

MZM

M2

M3*

Percent change at an annual rate

2005.
2006.
2007.
2008.
2009.

2.04
0.19
-0.15
4.42
14.10

2.11
4.34
9.06
14.05
9.53

4.25
5.27
6.32
7.12
7.85

5.97
4.95
.
.
.

2008
.
.
.

1
2
3
4

2.63
2.30
8.95
29.93

15.73
13.35
5.03
10.77

7.90
6.05
4.96
14.41

.
.
.
.

2009
.
.
.

1
2
3
4

12.56
10.85
7.90
8.15

17.95
5.84
1.43
0.59

12.43
2.73
1.06
3.71

.
.
.
.

2010
.

1
2

3.83
1.75

-4.24
-4.61

0.01
1.95

.
.

2008 Jul
. Aug
. Sep

14.61
-12.73
51.14

7.74
-2.10
6.26

8.03
-1.81
16.52

.
.
.

Oct
Nov
Dec

10.92
36.84
67.35

6.43
17.15
31.89

17.51
7.86
28.71

.
.
.

2009 Jan
. Feb
. Mar

-13.92
-7.19
2.58

17.17
9.08
9.29

8.92
5.76
7.66

.
.
.

.
.
.

.
.
.

Apr
May
Jun

23.72
0.00
28.07

-1.71
13.60
2.70

-6.49
10.38
2.29

.
.
.

.
.
.

Jul
Aug
Sep

2.78
-1.08
9.01

-0.21
-4.88
4.40

-1.41
-3.32
5.58

.
.
.

.
.
.

Oct
Nov
Dec

11.08
8.11
6.46

0.41
0.89
-1.64

4.66
4.41
2.70

.
.
.

2010 Jan
. Feb
. Mar

-11.20
24.32
-1.17

-8.74
0.72
-11.11

-7.85
8.69
-3.35

.
.
.

.
.
.

Apr
May
Jun

-8.03
3.58
11.15

-11.59
6.40
2.07

-3.94
11.57
4.35

.
.
.

.

Jul

-2.89

2.35

-0.11

.

*See table of contents for changes to the series.

Research Division

18

Federal Reserve Bank of St. Louis

Monetary Trends

Definitions
M1: The sum of currency held outside the vaults of depository institutions,
Federal Reserve Banks, and the U.S. Treasury; travelers checks; and demand
and other checkable deposits issued by financial institutions (except demand
deposits due to the Treasury and depository institutions), minus cash items in
process of collection and Federal Reserve float.
MZM (money, zero maturity): M2 minus small-denomination time deposits,
plus institutional money market mutual funds (that is, those included in M3 but
excluded from M2). The label MZM was coined by William Poole (1991); the
aggregate itself was proposed earlier by Motley (1988).
M2: M1 plus savings deposits (including money market deposit accounts)
and small-denomination (under $100,000) time deposits issued by financial
institutions; and shares in retail money market mutual funds (funds with initial
investments under $50,000), net of retirement accounts.
M3: M2 plus large-denomination ($100,000 or more) time deposits; repurchase
agreements issued by depository institutions; Eurodollar deposits, specifically,
dollar-denominated deposits due to nonbank U.S. addresses held at foreign
offices of U.S. banks worldwide and all banking offices in Canada and the
United Kingdom; and institutional money market mutual funds (funds with
initial investments of $50,000 or more).
Bank Credit: All loans, leases, and securities held by commercial banks.
Domestic Nonfinancial Debt: Total credit market liabilities of the U.S.
Treasury, federally sponsored agencies, state and local governments, households,
and nonfinancial firms. End-of-period basis.
Adjusted Monetary Base: The sum of currency in circulation outside Federal
Reserve Banks and the U.S. Treasury, deposits of depository financial institutions at Federal Reserve Banks, and an adjustment for the effects of changes
in statutory reserve requirements on the quantity of base money held by depositories. This series is a spliced chain index; see Anderson and Rasche (1996a,b,
2001, 2003).
Adjusted Reserves: The sum of vault cash and Federal Reserve Bank deposits
held by depository institutions and an adjustment for the effects of changes in
statutory reserve requirements on the quantity of base money held by depositories. This spliced chain index is numerically larger than the Board of
Governors’ measure, which excludes vault cash not used to satisfy statutory
reserve requirements and Federal Reserve Bank deposits used to satisfy required
clearing balance contracts; see Anderson and Rasche (1996a, 2001, 2003).
Monetary Services Index: An index that measures the flow of monetary services received by households and firms from their holdings of liquid assets;
see Anderson, Jones, and Nesmith (1997). Indexes are shown for the assets
included in M2, with additional data at research.stlouisfed.org/msi/index.html.
Note: M1, M2, M3, Bank Credit, and Domestic Nonfinancial Debt are constructed and published by the Board of Governors of the Federal Reserve
System. For details, see Statistical Supplement to the Federal Reserve Bulletin,
tables 1.21 and 1.26. MZM, Adjusted Monetary Base, Adjusted Reserves,
and Monetary Services Index are constructed and published by the Research
Division of the Federal Reserve Bank of St. Louis.

Notes
Page 3: Readers are cautioned that, since early 1994, the level and growth of
M1 have been depressed by retail sweep programs that reclassify transactions
deposits (demand deposits and other checkable deposits) as savings deposits
overnight, thereby reducing banks’ required reserves; see Anderson and Rasche
(2001) and research.stlouisfed.org/aggreg/swdata.html. Primary Credit Rate,
Discount Rate, and Intended Federal Funds Rate shown in the chart Reserve
Market Rates are plotted as of the date of the change, while the Effective
Federal Funds Rate is plotted as of the end of the month. Interest rates in
the table are monthly averages from the Board of Governors H.15 Statistical
Release. The Treasury Yield Curve and Real Treasury Yield Curve show
constant maturity yields calculated by the U.S. Treasury for securities 5, 7, 10,
and 20 years to maturity. Inflation-Indexed Treasury Yield Spreads are a
measure of inflation compensation at those horizons, and it is simply the
Research Division
Federal Reserve Bank of St. Louis

nominal constant maturity yield less the real constant maturity yield. Daily data
and descriptions are available at research.stlouisfed.org/fred2/. See also Statistical
Supplement to the Federal Reserve Bulletin, table 1.35. The 30-year constant
maturity series was discontinued by the Treasury as of February 18, 2002.
Page 5: Checkable Deposits is the sum of demand and other checkable
deposits. Savings Deposits is the sum of money market deposit accounts
and passbook and statement savings. Time Deposits have a minimum initial
maturity of 7 days. Retail Money Market Mutual Funds are included in M2.
Institutional money market funds are not included in M2.
Page 6: Excess Reserves plus RCB (Required Clearing Balance) Contracts
equals the amount of deposits at Federal Reserve Banks held by depository
institutions but not applied to satisfy statutory reserve requirements. (This
measure excludes the vault cash held by depository institutions that is not
applied to satisfy statutory reserve requirements.) Consumer Credit includes
most short- and intermediate-term credit extended to individuals. See Statistical
Supplement to the Federal Reserve Bulletin, table 1.55.
Page 7: Data are reported in the Senior Loan Officer Opinion Survey on
Bank Lending Practices.
Page 8: Inflation Expectations measures include the quarterly Federal Reserve
Bank of Philadelphia Survey of Professional Forecasters, the monthly University
of Michigan Survey Research Center’s Surveys of Consumers, and the annual
Federal Open Market Committee (FOMC) range as reported to the Congress
in the February testimony that accompanies the Monetary Policy Report to
the Congress. Beginning February 2000, the FOMC began using the personal
consumption expenditures (PCE) price index to report its inflation range; the
FOMC then switched to the PCE chain-type price index excluding food and
energy prices (“core”) beginning July 2004. Accordingly, neither are shown
on this graph. CPI Inflation is the percentage change from a year ago in the
consumer price index for all urban consumers. Real Interest Rates are ex post
measures, equal to nominal rates minus year-over-year CPI inflation.
From 1991 to the present the source of the long-term PCE inflation expectations
data is the Federal Reserve Bank of Philadelphia’s Survey of Professional
Forecasters. Prior to 1991, the data were obtained from the Board of Governors
of the Federal Reserve System. Realized (actual) inflation is the annualized rate
of change for the 40-quarter period that corresponds to the forecast horizon (the
expectations measure). For example, in 1965:Q1, annualized PCE inflation
over the next 40 quarters was expected to average 1.7 percent. In actuality,
the average annualized rate of change measured 4.8 percent from 1965:Q1 to
1975:Q1. Thus, the vertical distance between the two lines in the chart at any
point is the forecast error.
Page 9: FOMC Intended Federal Funds Rate is the level (or midpoint of
the range, if applicable) of the federal funds rate that the staff of the FOMC
expected to be consistent with the desired degree of pressure on bank reserve
positions. In recent years, the FOMC has set an explicit target for the federal
funds rate.
Page 10: Federal Funds Rate and Inflation Targets shows the observed
federal funds rate, quarterly, and the level of the funds rate implied by applying
Taylor’s (1993) equation
ft*= 2.5 + π t –1 + (π t –1 – π* )/2 + 100 × (yt –1 – yt –1P )/2
to five alternative target inflation rates, π* = 0, 1, 2, 3, 4 percent, where ft* is
the implied federal funds rate, π t –1 is the previous period’s inflation rate (PCE)
measured on a year-over-year basis, yt –1 is the log of the previous period’s
level of real gross domestic product (GDP), and yt –1P is the log of an estimate
of the previous period’s level of potential output. Potential Real GDP is
estimated by the Congressional Budget Office (CBO).
Monetary Base Growth and Inflation Targets shows the quarterly growth
of the adjusted monetary base implied by applying McCallum’s (2000, p. 52)
equation
Δbt = Δxt* − Δvta + λ ( Δxt* − Δxt −1 ),
Δxt* = π * + Δyt*
to five alternative target inflation rates, π* = 0, 1, 2, 3, 4 percent, where Δbt
is the implied growth rate of the adjusted monetary base, Δy*t is the 10-year

19

Monetary Trends
moving average growth in real GDP, Δνtα is the average base velocity growth
(calculated recursively), Δxt–1 is the lag growth rate of nominal GDP, and
λ = 0.5.
Page 11: Implied One-Year Forward Rates are calculated by this Bank from
Treasury constant maturity yields. Yields to maturity, R(m), for securities with
m = 1,..., 10 years to maturity are obtained by linear interpolation between
reported yields. These yields are smoothed by fitting the regression suggested
by Nelson and Siegel (1987),
R(m) = a0 + (a1 + a2 )(1 – e–m/50 )/(m/50) – a2 × e–m/50,
and forward rates are calculated from these smoothed yields using equation
(a) in table 13.1 of Shiller (1990),
f(m) = [D(m)R(m) – D(m–1)] / [D(m) – D(m–1)],
where duration is approximated as D(m) = (1 – e –R(m) × m)/R(m). These rates
are linear approximations to the true instantaneous forward rates; see Shiller
(1990). For a discussion of the use of forward rates as indicators of inflation
expectations, see Sharpe (1997). Rates on 3-Month Eurodollar Futures and
Rates on Selected Federal Funds Futures Contracts trace through time the
yield on three specific contracts. Rates on Federal Funds Futures on Selected
Dates displays a single day’s snapshot of yields for contracts expiring in the
months shown on the horizontal axis. Inflation-Indexed Treasury Securities
and Yield Spreads are those plotted on page 3. Inflation-Indexed 10-Year
Government Notes shows the yield of an inflation-indexed note that is
scheduled to mature in approximately (but not greater than) 10 years. The
current French note has a maturity date of 7/25/2015, the current U.K. note
has a maturity date of 4/16/2020, and the current U.S. note has a maturity date
of 5/15/2020. Inflation-Indexed Treasury Yield Spreads and InflationIndexed 10-Year Government Yield Spreads equal the difference between
the yields on the most recently issued inflation-indexed securities and the
unadjusted security yields of similar maturity.
Page 12: Velocity (for MZM and M2) equals the ratio of GDP, measured in
current dollars, to the level of the monetary aggregate. MZM and M2 Own
Rates are weighted averages of the rates received by households and firms
on the assets included in the aggregates. Prior to 1982, the 3-month T-bill
rates are secondary market yields. From 1982 forward, rates are 3-month
constant maturity yields.
Page 13: Real Gross Domestic Product is GDP as measured in chained
2000 dollars. The Gross Domestic Product Price Index is the implicit price
deflator for GDP, which is defined by the Bureau of Economic Analysis,
U.S. Department of Commerce, as the ratio of GDP measured in current
dollars to GDP measured in chained 2005 dollars.
Page 14: Investment Securities are all securities held by commercial banks
in both investment and trading accounts.
Page 15: Inflation Rate Differentials are the differences between the foreign
consumer price inflation rates and year-over-year changes in the U.S. all-items
Consumer Price Index.
Page 17: Treasury Yields are Treasury constant maturities as reported in the
Board of Governors of the Federal Reserve System’s H.15 release.

Sources
Agence France Trésor: French note yields.
Bank of Canada: Canadian note yields.
Bank of England: U.K. note yields.
Board of Governors of the Federal Reserve System:
Monetary aggregates and components: H.6 release. Bank credit and components: H.8 release. Consumer credit: G.19 release. Required reserves,
excess reserves, clearing balance contracts, and discount window borrowing:
H.4.1 and H.3 releases. Interest rates: H.15 release. Nonfinancial commercial paper: Board of Governors website. Nonfinancial debt: Z.1 release.
M2 own rate. Senior Loan Officer Opinion Survey on Bank Lending
Practices.

20

Bureau of Economic Analysis: GDP.
Bureau of Labor Statistics: CPI.
Chicago Board of Trade: Federal funds futures contract.
Chicago Mercantile Exchange: Eurodollar futures.
Congressional Budget Office: Potential real GDP.
Federal Reserve Bank of Philadelphia: Survey of Professional Forecasters
inflation expectations.
Federal Reserve Bank of St. Louis: Adjusted monetary base and adjusted
reserves, monetary services index, MZM own rate, one-year forward rates.
Organization for Economic Cooperation and Development: International
interest and inflation rates.
Standard & Poor’s: Stock price-earnings ratio, stock price composite index.
University of Michigan Survey Research Center: Median expected price
change.
U.S. Department of the Treasury: U.S. security yields.

References
Anderson, Richard G. and Robert H. Rasche (1996a). “A Revised Measure of
the St. Louis Adjusted Monetary Base,” Federal Reserve Bank of St. Louis
Review, March/April, 78(2), pp. 3-13.*
____ and ____(1996b). “Measuring the Adjusted Monetary Base in an Era of
Financial Change,” Federal Reserve Bank of St. Louis Review, November/
December, 78(6), pp. 3-37.*
____ and ____(2001). “Retail Sweep Programs and Bank Reserves, 19941999,” Federal Reserve Bank of St. Louis Review, January/February,
83(1), pp. 51-72.*
____ and ____ , with Jeffrey Loesel (2003). “A Reconstruction of the Federal
Reserve Bank of St. Louis Adjusted Monetary Base and Reserves,”
Federal Reserve Bank of St. Louis Review, September/October, 85(5),
pp. 39-70.*
____ , Barry E. Jones and Travis D. Nesmith (1997). “Special Report: The
Monetary Services Indexes Project of the Federal Reserve Bank of St.
Louis,” Federal Reserve Bank of St. Louis Review, January/February,
79(1), pp. 31-82.*
McCallum, Bennett T. (2000). “Alternative Monetary Policy Rules:
A Comparison with Historical Settings for the United States, the United
Kingdom, and Japa,” Federal Reserve Bank of Richmond Economic
Quarterly, vol. 86/1, Winter.
Motley, Brian (1988). “Should M2 Be Redefined?” Federal Reserve Bank of
San Francisco Economic Review, Winter, pp. 33-51.
Nelson, Charles R. and Andrew F. Siegel (1987). “Parsimonious Modeling of
Yield Curves,” Journal of Business, October, pp. 473-89.
Poole, William (1991). Statement before the Subcommittee on Domestic
Monetary Policy of the Committee on Banking, Finance and Urban Affairs,
U.S. House of Representatives, November 6, 1991. Government Printing
Office, Serial No. 102-82.
Sharpe, William F. (1997). Macro-Investment Analysis, on-line textbook
available at www.stanford.edu/~wfsharpe/mia/mia.htm.
Shiller, Robert (1990). “The Term Structure of Interest Rates,” Handbook of
Monetary Economics, vol. 1, B. Friedman and F. Hahn, eds., pp. 627-722.
Taylor, John B. (1993). “Discretion versus Policy Rules in Practice,” CarnegieRochester Conference Series on Public Policy, vol. 39, pp. 195-214.
Note: *Available on the Internet at research.stlouisfed.org/publications/review/.

Research Division
Federal Reserve Bank of St. Louis