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制作人:王曼舒1Chapter
4Why
Do
Interest
Rates
Change?Chapter
Preview制作人:王曼舒2
Interest
rates
might
fluctuate
time
antime
and
affect
business
activities.will
examine
the
forces
that
moveinterest
rates
and
the
theories
behindthose
movements.
Topics
include:Determining
Asset
DemandSupply
and
Demand
in
the
Bond
MarketChanges
in
Equilibrium
Interest
Rates4.1
Determinants
of
Asset
Demand
An
asset
is
a
piece
of
property
that
isa
store
of
value.Facing
the
question
of
whether
to
buyand
hold
an
asset
or
whether
to
buyone
asset
rather
than
another,
anindividual
must
consider
the
followingfactors:Wealth,
expected
return,
risk
andliquidity制作人:王曼舒34.1.1
Wealth(财富)
Wealth,
the
total
resources
ownedby
the
individual,
including
allassets;
The
effect
of
changes
in
wealth:Other
things
being
equal,
anincrease
in
wealth
raises
thequantity
demanded
of
an
asset.制作人:王曼舒44.1.2
Expected
Return
(预期收益)
Expected
return:
the
return
expected
over
thenext
period,
on
one
asset
relative
to
alternatiassets;The
expected
return
on
an
asset
is
theweighted
average
of
all
possible
returns,
wherthe
weights
are
the
probabilities
of
occurrenc(发生事件)of
that
return:制作人:王曼舒5Re=
p1R1
+
p2R2,Wherep1
=
probability
of
occurrence
of
return
1;
R1
=
return
in
state
1p2
=
probability
of
occurrence
return
2;
R2
=
return
in
state
24.1.2.1
EXAMPLE
1:
Expected
Return(P62)What
is
the
expected
return
on
the
Mobil
Oil
bond
if
the
returnis
12%
two-thirds
of
the
time
and
8%
one-third
of
the
time?SolutionThe
expected
return
is
10.68%.制作人:王曼舒6Re=
p1R1
+
p2R2,
wherep1R1=
probability
of
occurrence
of
return
1=
return
in
state
1
=
12%
==
2/30.12=.67p2=
probability
of
occurrence
return
2
=1/3=.33R2=
return
in
state
2
=
8%
=0.08ThusRe=
(.67)(0.12)
+
(.33)(0.08)
=0.1068
=
10.68%4.1.3
Risk
Risk:
the
degree
of
uncertaintyassociated
with
the
return
on
one
assetrelative
to
alternative
assets;In
finance,
we
use
standard
deviation
oreturn
as
a
measure
of
risk;
The
formula
for
the
standard
deviationis
shown
as
on
P63制作人:王曼舒84.1.3.1
EXAMPLE
2:
Standard
Deviation
(a)
What
is
the
standard
deviation
of
the
returon
the
Fly-by-Night
Airlines
stock
and
Feeton-the
Ground
Bus
Company,
with
the
samereturn
outcomes
and
probabilities
describeas
on
P63?Of
these
two
stocks,
which
is
riskier?制作人:王曼舒94.1.3.2
EXAMPLE
2:
Standard
Deviation
(b)Solution
Fly-by-Night
Airlines
has
a
standard
deviation
ofreturns
of
5%.制作人:王曼舒104.1.3.3
EXAMPLE
2:
Standard
Deviation
(c)
Feet-on-the-Ground
Bus
Company
has
a
standarddeviation
of
returns
of
0%.制作人:王曼舒114.1.3.4
EXAMPLE
2:
Standard
Deviation
(d)
Fly-by-Night
Airlines
has
a
standard
deviatof
returns
of
5%;
Feet-on-the-Ground
BusCompany
has
a
standard
deviation
of
returnsof
0%
Clearly,
Fly-by-Night
Airlines
is
a
riskierbecause
its
standard
deviation
of
returns
ofis
higher
than
the
zero
standard
deviation
oreturns
for
Feet-on-the-Ground
Bus
Company,which
has
a
certain
return.制作人:王曼舒124.1.3.6
Effect
of
changes
in
risk制作人:王曼舒14Holding
everything
else
constanif
an
asset’s
risk
rises
relativthat
of
alternative
assets,
itsquantity
demanded
will
fall.4.1.4
Liquidity
Liquidity:
the
ease
and
speed
with
whichan
asset
can
be
turned
into
cash,
relativto
alternative
assets;
Effect
of
changes
in
liquidity:
The
moreliquid
an
asset
is
relative
to
alternativassets,
holding
everything
else
unchangethe
more
desirable
it
is,
and
the
greaterwill
be
the
quantity
demanded.Government
bond
VS
company
bond制作人:王曼舒154.1.5
Determinants
of
Asset
Demand制作人:王曼舒164.2
Supply
and
demand
in
the
bondmarket
We
want
to
study
the
interest-ratedetermination
by
examining
the
supply
ofand
demand
for
bonds;
Since
interest
rates
on
different
marketstend
to
move
together,
we
first
of
all
studby
supposing
that
there
is
only
one
type
ofsecurities
and
a
single
interest
rate
in
thentire
economy.
In
next
chapter,
we
will
discuss
whyinterest
rates
on
different
securities
dif制作人:王曼舒17Point
A:Point
B:4.2.1
Demand
Curve
(look
atFigure
1
on
P66)For
one-year
discount
bonds
(no
coupon,
face
valu$1000):制作人:王曼舒184.2.1.1
Demand
CurvePoint
C:
P
=
$850
i
=
17.6%Point
D:P
=
$800
i
=
25.0%Point
E:
P
=
$750
i
=
33.0%制作人:王曼舒19Bd
=
300Bd
=
400Bd
=
500
Demand
Curve
is
Bd
in
Figure
1
whichconnects
points
A,
B,
C,
D,
E.Has
usual
downward
slopeFigure
4.1
Supply
and
Demand
for
Bonds4.2.1.2
Supply
and
Demand
Analysisof
the
Bond
Market制作人:王曼舒204.2.2
Supply
Curvei
=
33.0%i
=
25.0%i
=
17.6%i
=
11.1%制作人:王曼舒21Point
F:
P
=
$750Point
G:
P
=
$800Point
C:
P
=
$850Point
H:
P
=
$900Point
I:
P
=
$950
i
=5.3%Bs
=
100Bs
=
200Bs
=
300Bs
=
400Bs
=
500
Supply
Curve
is
Bs
that
connects
points
F,
G,
C,
H,I,
and
has
upward
slope:
the
higher
the
interestrate,
the
less
willingness
to
issue
new
bonds.4.2.3
Market
Equilibrium1.
Occurs
when
Bd
=
Bs,
at
P*
=
850,
i*
=17.6%制作人:王曼舒222.
When
P
=
$950,
i
=
5.3%,
Bs
>
Bd(excess
supply):
P
to
P*,
ito
i*3.
When
P
=
$750,
i
=
33.0,
Bd
>
Bs(excess
demand):
P
to
P*,
i
to
i*4.2.3
Market
EquilibriumMarket
equilibrium
occurs
when
the
amount
thatpeople
are
willing
to
buy
(demand)
equals
the
amountthat
people
are
willing
to
sell
(supply)
at
a
given
prExcess
supply
occurs
when
the
amount
that
people制作人:王曼舒23are
willing
to
sell
(supply)
is
greater
than
the
amounpeople
are
willing
to
buy
(demand)
at
a
given
priceExcess
demand
occurs
when
the
amount
that
peopleare
willing
to
buy
(demand)
is
greater
than
theamount
that
people
are
willing
to
sell
(supply)
at
agiven
price.4.2.4
Supply
and
Demand
Analysis制作人:王曼舒24
Interest
rate
and
price
of
a
bond
arealways
negatively.4.2.5
Loanable(可贷出的)FundsFrameworkesvalue
in
the
usualdirection.1.
Demand
forbonds
=
supply
ofloanable
fundsn
Supply
ofbonds
=
demand
forloanable
fundsn
Therefore
we
can
usethe
Figure
4.2
toexpress
interest
ratFigure
4.2
A
Comparison
of
Terminology:
Loanable制作人:王曼舒25Funds
and
Supply
and
Demand
for
Bonds4.3
Changes
in
EquilibriumInterest
Rates制作人:王曼舒26
It
is
important
to
distinct
betweenmovements
along
a
demand
(orsupply)
curve
and
a
shifts
in
ademand
(or
supply)
curve.
When
quantity
demanded
changes
as
aresult
of
a
change
in
the
price
of
thebond,
we
have
a
movement
along
thedemand
curve,
e.g.,
from
Point
A
to
B;制作人:王曼舒274.3.1
Shift
in
the
demand
for
Bonds制作人:王曼舒28
When
quantity
demanded
changes
ateach
given
price
of
the
bond
inresponse
to
a
change
in
some
otherfactor
besides
the
bond’s
price
orinterest
rate,
we
have
a
shift
in
thedemand
curve,
e.g.
B1d
to
B2d
.4.3.1
Shifts
in
the
Demand
Curve制作人:王曼舒29Figure
4.3
Shifts
in
the
Demand
Curve
for
Bonds4.3.1.1
How
Factors
Shift
theDemand
Curve
-
Wealth制作人:王曼舒30Wealth
Economy ,
wealth ,
Bd
,
Bd
shifts
outo
right,
and
the
vice
versa.4.3.1.2
How
Factors
Shift
theDemand
Curve
–
Expected
return制作人:王曼舒31Expected
Return
i
in
future,
Re
for
long-term
bondsshifts
out
to
right■πe,
relative
Re
,
Bd
shifts
out
to
ri4.3.1.3
How
Factors
Shift
theDemand
Curve
-
Risk制作人:王曼舒32Risk
Risk
of
bondsright,
Bd
,
Bd
shifts
out
to,
Bd
,
Bd
shifts
Risk
of
other
assetsto
right4.3.1.4
How
Factors
Shift
theDemand
Curve
-
Liquidity制作人:王曼舒33Liquidity
Liquidity
of
bondsright,
Bd
,
Bd
shifts
ou,
Bd
,Bd
sh
Liquidity
of
other
assetsout
to
right4.3.1.6
Summary
of
Shiftsin
the
Demand
for
Bonds
(1)制作人:王曼舒35
Wealth:
in
a
business
cycle
expansion
withgrowing
wealth,
the
demand
for
bonds
rises,conversely,
in
a
recession,
when
income
andwealth
are
falling,
the
demand
for
bondsfalls
Expected
returns:
higher
expectedinterest
rates
in
the
future
decrease
thedemand
for
long-term
bonds,
conversely,lower
expected
interest
rates
in
the
futureincrease
the
demand
for
long-term
bonds4.3.1.6
Summary
of
Shiftsin
the
Demand
for
Bonds
(2)制作人:王曼舒36
Risk:
an
increase
in
the
riskiness
of
bondscauses
the
demand
for
bonds
to
fall,conversely,
an
increase
in
the
riskiness
ofalternative
assets
(like
stocks)
causes
thedemand
for
bondsto
rise
Liquidity:
increased
liquidity
of
the
bondmarket
results
in
an
increased
demand
forbonds,
conversely,
increased
liquidity
ofalternative
asset
markets
(like
the
stockmarket)
lowers
the
demand
for
bonds4.3.2
Shift
in
the
Supply
ofBonds制作人:王曼舒37Certain
factors
can
cause
the
supplycurve
for
bonds
to
shift:
Expected
profitability
of
investmentopportunities;Expected
inflation;Government
activities.4.3.2
Shift
in
the
Supply
of
Bond制作人:王曼舒38Figure
4.4
Shift
in
the
Supply
Curve
for
Bonds4.3.2.1
Factors
that
shift
supplycurve-
Profitability制作人:王曼舒39Profitability
of
Investment
Opportunities
Business
cycle
expansion,
investmentopportunities ,
Bs
,
Bs
shifts
out
torightIn
a
business
cycle
expansion,
the
supply
ofbonds
increases,
conversely,
in
a
recessionwhen
there
are
far
fewer
expectedprofitable
investment
opportunities,
thesupply
of
bonds
falls4.3.2.2
Factors
that
shift
supplcurve-
Expected
Inflation制作人:王曼舒40Expected
Inflation■πe,
Bs
,
Bs
shifts
outto
rightAn
increase
in
expected
inflation
causes
thesupply
of
bonds
to
increase4.3.2.3
Factors
that
shift
supplcurve-
Government
Activity制作人:王曼舒41Government
ActivitiesDeficits ,
Bs
,
Bs
shifts
out
toHigher
government
deficits
increase
thsupply
of
bonds,
conversely,government
surpluses
decrease
thesupply
of
bonds4.3.2.4
Factors
That
Shift
SupplCurve
(Table
3)制作人:王曼舒424.4
Fisher
Effect
and
Businesscycle制作人:王曼舒43Fisher
EffectBusiness
cycle4.4.1
Changes
in
expected
inflationeIf
πe1.
Relative
Re
,Bd
shifts
into
left制作人:王曼舒442.Bs,
Bs
shiftsout
to
right3.
P
,
iFigure
4.5
Response
to
a
Change
in
Expected
Inflation4.4.2
Fisher
Effect
Our
analysis
on
demand
and
supply
hasbrought
an
important
observation:
whenexpected
inflation
rises,
interest
ratewill
rise.
This
observation
was
firstly
pointed
outby
Irving
Fisher,
and
therefore
calledFisher
Effect.
Irving
Fisher,
famous
economist(
(1867-1947)制作人:王曼舒45Figure
4.6
Expected
Inflation
and
Interest
Rates
(Three-Month
Treasury
Bills),
1953–20044.4.3
Evidence
on
the
Fisher
Effectin
the
United
States制作人:王曼舒464.4.5
Business
Cycle
Expansion1.
Wealth ,
Bd
,Bd
shifts
out
torightn
Investment
,制作人:王曼舒48Bs,
Bs
shiftsright1.
If
Bs
shiftsmore
than
Bdthen
P
,iFigure
4.7
Response
to
a
BusinessCycle
Expansion4.4.6
Evidence
on
Business
Cyclesand
Interest
RatesFigure
4.8
Business
Cycle
and
Interest
Rates
(Three-Month
Treasury
Bills),
1951–2
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