Determination of Interest Rates and Intro to Monetary Policy

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Determination of Interest Rates and Intro to Monetary Policy

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Title: Determination of Interest Rates and Intro to Monetary Policy


1
Determination of Interest Rates and Intro to
Monetary Policy
  • Econ 280

2
Monetary Conditions vs. Monetary Policy
  • Monetary Conditions reflect changes in the
    economy (the amount of loanable funds available,
    the productive capacity of the economy, expected
    rate of inflation etc.)
  • Monetary Policy responds to monetary condition
    ,and attempts to smooth monetary conditions.

3
Monetary Policy
  • Changes in monetary conditions (an increase in
    inflation for example) can cause a change in the
    level of interest rates. However, it does not
    necessarily imply a change in monetary policy.

4
Basic DefinitionsShort Term Interest Rates
  • Federal Funds Rate Rate charged on overnight
    loans between banks
  • Discount Rate Interest rate charged on
    overnight loans from Fed Reserve to banks
  • Prime Rate the interest rate commercial banks
    charge their large (best) customers
  • CDs
  • Treasury Bills
  • Commercial Paper

5
Basic DefinitionsLong Term Interest rates
  • Treasury Bonds
  • Municipal Securities
  • Corporate Bonds
  • Other

6
Outline
  • What determines the level of Interest rates
  • The Asset Market (last class)
  • The Money Market (next class)
  • International (future class)
  • Today
  • Federal Reserve and Monetary Policy
  • Taylor Rule
  • The Yield Curve

7
The Federal Reserve SystemBackground and overview
  • 12 Regional Banks
  • Fed board of Governors 7 members, 14 year
    appointments
  • Federal Open market Committee (FOMC), Board of
    Gov, Bank of NY Pres, 5 other Fed bank pres.
  • Independence of the Fed

8
FOMC
  • Federal Open Market Committee (FOMC), Board of
    Gov, Bank of NY Pres, 5 other Fed bank pres.
  • After each meeting they issue a statement
    outlining any changes in the target for the
    federal funds rate.
  • Since February 2000, the committee has included a
    discussion of the Feds ability to accomplish its
    long run goals (price stability and sustainable
    economic growth) and any risks that may hinder
    its ability to meet its goals.

9
Federal Reserve Monetary Policy
  • Tools of Monetary Policy
  • Discount Window Lending
  • Reserve Requirements
  • Open Market Operations

10
Discount Rate
  • The Federal Reserve provides short- term loans to
    banks to enable them to meet depositors demands
    and reserve requirements.
  • The Fed sets the discount rate which the rate of
    interest changed on the loans.

11
Using the Discount Rate
  • When the Fed increases the discount rate it
    discourages banks from borrowing, reducing the
    money supply.
  • Increases in the discount rate raise the cost of
    borrowing
  • When the Fed decreases the discount rate banks
    are more willing to borrow so the money supply
    will increase

12
Discount Window Loans
  • Adjustment Credit Loans Most common type of
    loan to cover short falls of reserves
  • Seasonal Credit given to a limited number of
    banks that operate in vacation and agriculture
    areas, rate tied to the average of the monthly
    average Fed Funds rate and CD rates.
  • Extended Credit Banks with severe liquidity
    problems. ½ point above the rate on seasonal
    credit

13
Discount Window Disadvantages
  • Disadvantages to using the discount window as a
    source of funds
  • Cost associated with Discount window
    lendingInterest rate is high compared to other
    sources
  • Concerns that might be raised about the health of
    the bank causing increased monitoring
  • More likely to be turned down in the future.

14
Problems with The Discount Window
  • The rate is set by the Fed, but it cant control
    the amount of lending.
  • It is difficult to revise.
  • It can cause large fluctuations in the spread
    between rates in general and the discount rate,
    causing unintended changes in the volume of loan
    and hence the money supply.

15
Reserve Requirements
  • Setting of the of required reserves in the
    banking sector.
  • The reserves must either be cash on hand or on
    deposit at the Fed.
  • If reserve requirements are increased banks hold
    more money in reserve decreasing the amount that
    is available for lending.
  • If reserve requirements are decreased banks hold
    less money in reserves increasing the amount
    available for lending.

16
Monetary Control Act of 1980
  • Moved much of the responsibility of reserve
    requirements from the Fed to the Congress.
  • Rules also expanded to include all depository
    institutions. A basic ratio of 12 was
    established for all checkable deposits. Likewise
    a basic rate of 3 was set for time deposits.
  • Fed given ability to change the checkable deposit
    rate between 8 and 14.

17
Using Reserve Requirements
  • Advantage is that reserve rules affect all banks
    the same
  • Can have large impact because of multiple deposit
    creation.
  • Can cause immediate liquidity problems for banks
    with low excess reserves.
  • Is not used very often.

18
Open Market Operations
  • When the Fed purchases securities on the open
    market it must use cash reserves (money which
    was out of circulation), therefore the amount
    banks have available to lend (excess reserves)
    will increase.
  • When the Fed sells it already owns on the open
    market individuals and institutions pay for them
    with cash which the Fed then holds in reserve, in
    effect removing it from circulation, reducing the
    amount of excess reserves in banks.

19
Open Market Operations
  • Dynamic
  • Intended to change the level of reserves and the
    monetary base
  • Defensive Open Market Operations
  • Intended to offset movements in other factors
    that affect reserves and the monetary base.

20
Advantages of Open Market Operations
  • Conducted at the initiative of the Fed (with the
    discount rate they can only encourage banks to
    loan more or less)
  • Flexible and precise
  • Easily reversed
  • Implemented quickly

21
Recent Adjustments to Federal Funds Rate
  • In 2004 Fed started to increase Fed Funds to
    return to a neutral (neither expansionary or
    contractionary) level
  • Federal Funds Rate Targets
  • June 2003 July 2004 1
  • Increases stopped at August 8, 2006 meeting
  • Currently 5.25

22
Open Market Operations
  • The buying and selling of US government
    securities by the Federal Reserve on the open
    market.
  • In other words, it is buying and selling the
    securities at the market price and yield.

23
Open Market Operations
  • When the Fed purchases securities on the open
    market it must use its cash reserves (money
    which was out of circulation), therefore the
    amount banks have available to lend will
    increase.
  • When the Fed sells these securities on the open
    market individuals and institutions pay for them
    with cash which the Fed then holds in reserve
    removing it from circulation, reducing the amount
    of excess reserves in banks.

24
Open Market Operations
  • Dynamic
  • intended to change the level of reserves and the
    monetary base
  • Defensive Open Market Operations
  • Intended to offset movements in other factors
    that affect reserves and the monetary base.
  • Only buys and sells US Treasury and government
    securities to avoid conflicts of interest

25
Daily Open Market Operations
  • Conducted at the trading desk, (at the New York
    Fed), Both Dynamic and Defensive Operations are
    undertaken.

26
A Day at the Trading Desk
  • Review of developments in Fed Funds Market on the
    previous day and check ofactual amount of
    reserves on the previous day.
  • Detailed Forecast developed by staff of short
    term factors affecting reserves(treasury
    deposits, float, publics holding of currency)
  • Monitor the current developments in the Fed Funds
    Market

27
A Day at the Trading Desk continued
  • Use forecasts to decide if sales or purchases
    need to be made to keep the Fed Funds rate in its
    target range.
  • Call treasury to get updated info on planned moves

28
A Day at the Trading Desk continued
  • Contact Monetary Affairs Division at the Board of
    Governors in D.C. andformulate a proposes course
    of action.
  • Midmorning Conference call with Director of
    Monetary affairs and one of theregional bank
    presidents to propose course of action for the day

29
A Day at the Trading Desk
  • Execution of temporary Open Market Operations
    mainly through the use of repurchase agreements
    and reverse repurchase agreements. The effect of
    these changes are reversed at the maturity of the
    agreement.
  • Conduct any Outright Open market operations
    (purchase and sale of securitiesdirectly)

30
Advantages of Open Market Operations
  • Conducted at the initiative of the Fed (with the
    discount rate they can only encourage banks to
    loan more or less)
  • Flexible and precise
  • Easily reversed
  • Implemented quickly

31
Repurchase Agreements
  • The sale of a security with the promise of
    repurchasing it in a very short time (usually
    overnight) at a premium.
  • The seller is essentially borrowing money from
    the other party and using a security (usually
    issued by the treasury) as collateral.

32
Repurchase Agreements
  • The difference in price represents the interest
    rate paid on the loan (it is often referred to as
    the repo rate).
  • Reverse Repos are just taking the opposite side
    of the agreement (lending the money today,
    agreeing to sell back the security it he future).

33
Open Market Repurchase Agreements (Repos)
  • Used when the Fed believes that there will be an
    event that is significant but not long lived.
  • An example may be a large payment from the US
    treasury such as Tax Refunds or Social Security
    payments (either would create a temporary
    increase in the amount of reserves available)

34
A Big Picture Question
  • Do we need a lender of last resort if the FDIC is
    in existence?
  • The Announcement Effect Signal future monetary
    policy moves.
  • The role of lender of last resort promotes safety
    and soundness, but the lending function is not
    very effective as a tool.

35
How is monetary policy determined?
  • The Fed is attempting to attain a given set of
    macroeconomic goals.

36
Goals
  • High employment Full Employment and Balanced
    Growth Act of 1978 (Humphrey Hawkins). Committed
    the government (and the Fed) to promoting high
    employment consistent with a stable price level.
  • Key is how big should or can employment be? The
    natural rate of unemployment constrains the
    ability to always increase employment.

37
Economic Growth
  • Growth is measured by increases in real GDP.
  • Biggest current question is why has growth slowed
    in the last 20 years?

38
Price Stability
  • Targeting inflation is the latest fad among
    central banks. The belief is that keeping prices
    stable can decrease uncertainty and lead the
    economy toward the other goals.

39
Interest rate Stability
  • Again the main idea is decreasing uncertainty and
    promoting Stability in Financial Markets

40
Stability in Foreign Exchange Markets
  • Not always able to control Asian Financial
    crisis is a good example.

41
Conflict among Goals.
  • The goals often interfere with each other, for
    example stable prices and high employment.
  • If the Phillips curve is correct there is a
    tradeoff between unemployment and inflation.
    Often low unemployment has resulted in high
    inflation ad vice versa.

42
Conflicts continued
  • Likewise since interest rates are linked to the
    price level (fisher equation) Interest rate
    stability and high employment are not always
    compatible.
  • Which should a central bank target? How should
    they set their objective?

43
Goals vs. Targets
  • Sets Goals (Employment, Inflation) then
    establishes targets for key variables that should
    be consistent with reaching the goals
  • The targets are the means of obtaining the
    desired goals.

44
Operating Targets
  • Variables that are directly effected by the
    policy tools of the central bank.
  • Some examples include reserve aggregates, the
    monetary base, federal funds rate, borrowed
    reserves

45
Intermediate Targets
  • Variables that have a direct effect on the goals,
    but are not directly effected by the central
    banks monetary tools.
  • Examples include M1, M2 etc

46
Monetary Policy
  • Since Targets are more long term in nature, the
    central bank aims at the targets in an attempt to
    steer the economy toward its goals.
  • Often there is conflict in choosing the correct
    target.
  • For example in class we showed, choosing a
    monetary aggregate lessens the ability of the
    bank to control interest rates and vice versa.

47
Choosing Targets
  • Operating Targets should be
  • Measurable
  • Central Bank has some control over changes in the
    variable
  • Have an intermediate target as its goal.
  • Intermediate Targets should be
  • Measurable
  • Central Bank has some control over changes in the
    variable.
  • Have a predictable impact on the goal

48
A quick Historical Perspective of the Fed
  • Pre 1920s Discount rate is the primary tool
  • 1920 1930 Expanded use of Open Market
    Operations
  • 1930s The Great Depression
  • The introduction of the Reserve Requirement
    (Thomas Amendment to the Agricultural Adjustment
    Act of 1933
  • Pegging of Interest rate and war finance. Fed
    would make Open Market Purchases to keep the
    interest rates fixed to pre war levels.

49
Historical Perspective continued
  • 1950sand 60s
  • Money Market Conditions. Use of Free reserves as
    indicator resulting in procyclical monetary
    policy.
  • 1970s Targeting Monetary Aggregates and the
    federal funds rate
  • Widening of target range for Fed Funds Rate
    Specifically the Fed targeted the amount of non
    borrowed reserves (total reserves less those
    borrowed from the discount window)

50
Historical Perspective continued
  • 1982-early 1990s
  • De-emphasis on monetary aggregates, return toward
    federal funds targeting
  • Target became growth in borrowed reserves was
    kept to a specific range.
  • Fed recognizes the need to target foreign
    exchange rate stability
  • Stock market crash of 1987 forced Fed to think
    about stability in the financial markets which
    also became a point of emphasis.

51
Historical Perspective continued
  • Mid to late 1990s
  • Fed still used the fed funds rate as primary
    tool, but was more tolerant of growth than
    before.
  • One explanation was a possible new paradigm of
    increased productivity. There has been debate
    about whether or not this new productivity growth
    actually exist.

52
Taylor Rule
  • Key determinants of the level of the fed funds
    rate are the level of unemployment and the level
    of inflation.
  • 1 change in core inflation 1 change in Fed
    Funds
  • 1 change in growth rate 1 change in Fed Funds

53
The Taylor RuleGreenspan Era
  • FF 7.271.54(CoreCPI)-1.78(UN)0.18(IPM)
  • (22.6) (17.0) (9.2)
  • Adj Rsqr .927 1987.3 1997.3
  • FF Fed Funds Rate
  • Core CPI change in core rate of Inflation
    past 6 qtrs
  • UN Current Unemployment Rate
  • IPM change in index of industrial production

54
Taylor Rule and Monetary Policy
  • If the Taylor Rule holds what impact would an
    inflation target have on the level of the fed
    funds rate?

55
Equilibrium Fed Funds Rate?
  • A rate that will keep inflation low and promote
    stable long term growth
  • Based on growth rate of productivity and growth
    of labor force.
  • At full employment nominal rate will increase
    by more than expected inflation (real fed funds
    increases)
  • Slow growth the real fed funds rate will
    decrease.

56
Yield Spreads
  • The differences in rates between different assets
    is a function of their riskiness (including the
    amount of time before the asset matures)
  • Changes in the differences provides information
    about the economy.

57
The Yield Curve
  • Differences in rates based on maturity (for
    similar default risk) are often used as a
    predictor of future economic activity.
  • The yield curve graphs the return paid on
    treasury bills, notes, and bonds at a given point
    in time.

58
Shifts in the Yield Curve
  • The shape of the yield curve and changes in the
    shape can provide information to the market
    concerning future interest rates.
  • Want to investigate two things, overall shifts in
    the curve and changes in its slope.

59
Historical Evidence (FDIC.gov)
60
Recent Yield Curves
61
Parallel Shifts
Short Intermediate Long Maturity
Short Intermediate Long Maturity
62
Approximate Parallel Shift
Change in rates is approximately the same for all
maturities
63
Twists
Flattening Twist
Short Intermediate Long Maturity
Steepening Twist
Short Intermediate Long Maturity
64
Flattening of the curve
65
Steepening of the Curve
Change for long term is greater than for short
term
66
Butterfly Shifts
Positive Butterfly
Short Intermediate Long Maturity
Negative Butterfly
Short Intermediate Long Maturity
67
Positive Butterfly shift
Increase for short term and long term is greater
than for intermediate term
68
Negative Butterfly Shift
Decrease for short term and long term is greater
than for intermediate term
69
Why does the Yield Curve usually slope upwards?
  • Three things are observed empirically concerning
    the yield curve
  • Rates across different maturities move together
  • More likely to slope upwards when short term
    rates are historically low, sometimes slope
    downward when short term rates are historically
    high
  • The yield curve usually slopes upward

70
Three Explanations of the Yield Curve
  • The Expectations Theories
  • Pure Expectations
  • Local Expectations
  • Return to Maturity Expectations
  • Segmented Markets Theory
  • Biased Expectations Theories
  • Liquidity Preference
  • Preferred Habitat

71
Pure Expectations Theory
  • Long term rates are a representation of the short
    term interest rates investors expect to receive
    in the future. In other words, the forward rates
    reflect the future expected rate.
  • Assumes that bonds of different maturities are
    perfect substitutes
  • In other words, the expected return from holding
    a one year bond today and a one year bond next
    year is the same as buying a two year bond today.
    (the same process that was used to calculate our
    forward rates)

72
Pure Expectations Theory A Simplified
Illustration
  • Let
  • rt todays time t interest rate on a one
    period bond
  • ret1 expected interest rate on a one period
    bond in the next period
  • r2t todays (time t) yearly interest rate on a
    two period bond.

73
Investing in successive one period bonds
  • If the strategy of buying the one period bond in
    two consecutive years is followed the return is
  • (1rt)(1ret1) 1 which equals
  • rtret1 (rt)(ret1)
  • Since (rt)(ret1) will be very small we will
    ignore it
  • that leaves
  • rtret1

74
The 2 Period Return
  • If the strategy of investing in the two period
    bond is followed the return is
  • (1r2t)(1r2t) - 1 12r2t(r2t)2 - 1
  • (r2t)2 is small enough it can be dropped
  • which leaves
  • 2r2t
  •  

75
Set the two equal to each other
  • 2r2t rtret1
  • r2t (rtret1)/2
  • In other words, the two period interest rate is
    the average of the two one period rates

76
Applying the model
  • The 2 year rate is an average of the current 1
    year rate and the expected rate one year in the
    future.
  • This implies that the yield curve will slope
    upward when the expected one year rate is
    expected to increase compared to the current one
    year rate.
  • Similarly the yield curve will slope downward
    when the expected rate is less than the current
    rate.

77
Expectations Hypothesis r2t (rtret1)/2
  • If you assume that the expected rate is
    representative of the long run average and that
    rates will move toward the average, empirical
    fact two is explained.
  • When the yield curve is upward sloping (R2tR1t)
    The current rate would be less than the long run
    average and it is expected that short term rates
    will be increasing.
  • Likewise when the yield curve is downward sloping
    the current rate would be above the long run
    average (the expected rate).

78
Expectations Hypothesis r2t (rtret1)/2
  • As short term rates increase the long term rate
    will also increase and a decrease in short term
    rates will decrease long term rates. (Fact 1)
  • This however does not explain Fact 3 that the
    yield curve usually slopes up. Given the
    explanation of Fact 2 the yield curve should
    slope up about half of the time and slope down
    about half of the time.

79
Problems with Pure Expectations
  • The pure expectations theory also ignores the
    fact that there is reinvestment rate risk and
    different price risk for the two maturities.
  • Consider an investor considering a 5 year horizon
    with three alternatives
  • buying a bond with a 5 year maturity
  • buying a bond with a 10 year maturity and holding
    it 5 years
  • buying a bond with a 20 year maturity and holding
    it 5 years.

80
Price Risk
  • The return on the bond with a 5 year maturity is
    known with certainty the other two are not.
  • The longer the maturity the greater the price
    risk.
  • If interest rates change the return and the 10
    and 20 year bonds will be determined in part by
    the capital gains resulting from the new price at
    the end of five years.

81
Reinvestment rate risk
  • Two new options
  • Investing in a 5 year bond
  • Investing in 5 successive 1 year bonds
  • Investing in a two year bond today followed by a
    three year bond in the future.
  • Again the 5 year return is known with certainty,
    but the others are not.

82
Local expectations
  • Local expectations theory says that returns of
    different maturities will be the same over a very
    short term horizon, for example 6 months.
  • This assumes that all the forward rates currently
    implied by the spot yield curve are realized.

83
Local Expectations
  • Previously we calculated the zero spot rates
    using the bootstrapping method for the on the run
    treasury securities given below.
  • Maturity YTM Maturity YTM
  • 0.5 4 2.5 5.0
  • 1.0 4.2 3.0 5.2
  • 1.5 4.45 3.5 5.4
  • 2.0 4.75 4.0 5.55

84
Zero spot Review (local expectations example)
  • Given the assumption that all of the on the run
    treasury securities were selling at par we found
    the 1.5 year zero coupon rate by discounting the
    coupons by the respective zero coupon rates.

85
Zero spot curve (local expectations example)
  • Continuing the same process for future rates we
    started to build a zero spot yield curve
  • Time YTM Zero Spot
  • 0.5 4 4
  • 1.0 4.2 4.2
  • 1.5 4.45 4.4459
  • 2.0 4.75 4.7666

86
Forward Rates(local expectations example)
  • Given the zero spot rates it is possible to find
    the forward rates.
  • Let 1fm be the 1 period (six month) forward rate
    from time m to time m1.
  • The forward rate can then be found as

87
Forward Rate(local expectations example)
  • Given the 6 mo. zero spot rate of 4 and the 1
    year zero spot rate of 4.2, the one period
    (6mo.) forward rate from 6 months to 1 year would
    be
  • (1.021)2 (1.02)(11f1) 1f1 .022
  • Similarly the 6 month forward rate from 1 year to
    1.5 years can be found from the 1 year zero spot
    rate of 4.2 and the 1.5 zero spot rate of
    4.4459
  • (1.021)2(1 1f2) (1.022293)3 1f2 .024884
  • Likewise 1f3 .02847

88
Local expectations example
  • Local expectations theory says that returns of
    different maturities will be the same over a very
    short term horizon, for example 6 months.
  • The return from buying the 2 year 4.45 coupon
    bond that makes semiannual payments selling at
    par and selling it in six months should be equal
    to the return on a 1 year coupon bond with a YTM
    of 4.2 if you hold it 6 months.

89
6 mo return on 1 year bond
  • The 1 year bond has a current YTM of 4.2. This
    means that a equivalent bond selling at par would
    make a 2.10 coupon payment at eh end of 6 months
    and at the end of 1 year.
  • If you bought this bond at t 6 months and sold
    it at t1 year you should earn 1f1 (the 6 mo.
    forward rate) over the time you own the bond.
  • The price of the bond at t6 mos should reflect
    this.

90
6 mo return on 1 year bond
  • At time t1 year the bond makes payments of
    102.10. The total return from owning the bond is
    the capital gains yield and interest yield and it
    should equal 1f1.022

91
6 mo return on 1 year bond
  • Buying the bond at time 0 and selling it at the
    end of the first 6 months would then produce a
    return of
  • Which is equal to the spot (zero coupon) six
    month rate

92
Return on the 2 year bond
  • The price of the 2 year bond at the end of 6
    months should also equal the PV of its expected
    cash flows discounted back at the forward rate
    (otherwise there would be an arbitrage
    opportunity).
  • By finding the price at the end of 6 months we
    can again find the return from owning the bond
    for 6 months form t0 to t6 mos.

93
6 mo return on 2 year bond
  • There are three coupon payments left from time t
    6 mos to t 2 years, using the forward rates
    the price of the bond at t6mos should be

94
Total Return on holding 2 year bond for 6 months
  • The 2 year bond originally sold for par and it
    made a 2.375 coupon payment at t6mos. The
    total return from owning it is then
  • Which is the same as the 6 month return on the 1
    year bond (and the same as the 6 month spot rate)

95
Local Expectations
  • Similarly owning the bond with each of the longer
    maturities should also produce the same 6 month
    return of 2.
  • The key to this is the assumption that the
    forward rates hold. It has been shown that this
    interpretation is the only one that can be
    sustained in equilibrium.

96
Return to maturity expectations hypothesis
  • This theory claims that the return achieved by
    buying short term and rolling over to a longer
    horizon will match the zero coupon return on the
    longer horizon bond. This eliminates the
    reinvestment risk.

97
Expectations Theory and Forward Rates
  • The forward rate represents a break even rate
    since it the rate that would make you indifferent
    between two different maturities
  • According to the pure expectations theory and its
    variations are based on the idea that the forward
    rate represents the market expectations of the
    future level of interest rates.
  • However the forward rate does a poor job of
    predicting the actual future level of interest
    rates.

98
Segmented Markets Theory
  • Interest Rates for each maturity are determined
    by the supply and demand for bonds at each
    maturity.
  • Different maturity bonds are not perfect
    substitutes for each other.
  • Implies that investors are not willing to accept
    a premium to switch from their market to a
    different maturity.
  • Therefore the shape of the yield curve depends
    upon the asset liability constraints and goals of
    the market participants.

99
Biased Expectations Theories
  • Both Liquidity Preference Theory and Preferred
    Habitat Theory include the belief that there is
    an expectations component to the yield curve.
  • Both theories also state that there is a risk
    premium which causes there to be a difference in
    the short term and long term rates. (in other
    words a bias that changes the expectations result)

100
Liquidity Preference Theory
  • This explanation claims that the since there is a
    price risk and liquidity risk associated with the
    long term bonds, investor must be offered a
    premium to invest in long term bonds
  • Therefore the long term rate reflects both an
    expectations component and a risk premium.
  • This tends to imply that the yield curve will be
    upward sloping as long as the premium is large
    enough to outweigh an possible expected decrease.

101
Preferred Habitat Theory
  • Like the liquidity theory this idea assumes that
    there is an expectations component and a risk
    premium.
  • In other words the bonds are substitutes, but
    savers might have a preference for one maturity
    over another (they are not perfect substitutes).
  • However the premium associated with long term
    rates does not need to be positive.
  • If there are demand and supply imbalances then
    investors might be willing to switch to a
    different maturity if the premium produces enough
    benefit.

102
Preferred Habitat Theoryand The 3 Empirical
Observations
  • Thus according to Preferred Habitat theory a rise
    in short term rates still causes a rise in the
    average of the future short term rates. This
    occurs because of the expectations component of
    the theory. Therefore the long and short rates
    move together and fact 1 is explained.

103
Preferred Habitat Theory
  • The explanation of Fact 2 from the expectations
    hypothesis still works. In the case of a
    downward sloping yield curve, the term premium
    (interest rate risk) must not be large enough to
    compensate for the currently high short term
    rates (Current high inflation with an expectation
    of a decrease in inflation). Since the demand
    for the short term bonds will increase, the yield
    on them should fall in the future.

104
Preferred Habitat Theory
  • Fact three is explained since it will be unusual
    for the term premium to be so small or negative,
    therefore the the yield curve usually slopes up.

105
Measuring Yield Curve Risk
  • Key Rate Duration, Calculating the change in
    value for a security or portfolio after changing
    one key interest rate keeping other rates
    constant.
  • Each point on the spot yield curve has a separate
    duration associated with it.
  • If you allowed all rates to change by the same
    amount, you could measure the response to the
    security or portfolio to a parallel shift in the
    yield curve.

106
Federal Reserve
  • Goals vs. Targets BCLP?
  • Overview of the system
  • Discussion of appropriate goals / role of
    monetary policy
  • A day at the Federal Reserve Desk
  • Taylor Rule (determination of Fed Funds Rate)
  • Changes overtime on effectiveness of Fed /
    changes in Banking

107
Determinants of Long Term Rates
  • Expectations Hypothesis
  • Temporary vs. Perm shifts in short term rates

108
Bond Yields and Expectations
  • The long term yield definitely has an
    expectations component.
  • Assume that inflation has started to increase,
    but the Fed Res has not increased the Fed Funds
    rate Long Term rates will increase in
    anticipation of an increase in rates.

109
Other? Influences on Long Term Rates
  • Average rate of inflation over past 5 years.
    Expectations of increased inflation cause LT
    bond yield to increase. (expected increase in
    future ST rates)
  • Changes in real growth rate Bond yield may even
    decline during recovery (lag in impact (last
    class)

110
Other? continued
  • Negative Correlation with government budget
    deficit/GDP (rates increase as deficit increases)
    segmented markets?
  • Positive Correlation with ratio of capital
    Spending to GDP (firms compete for capital rates
    increase) (models from last class)

111
Yield Spread and Forecasting
  • Is the Yield Spread a good Forecaster of future
    economic activity?

112
The Conundrum and Lags
  • Changes in inflationary expectations are tied to
    changes in Fed Policy
  • If fed rate is below expectations Inflationary
    pressure exists
  • If fed pushes rates up quickly inflationary
    pressure eases and it is easy for the rate to be
    too high (overshot by the Fed)
  • If it does not increase rates and they are too
    low still have inflationary pressure
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