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8/2/2019 Investment Management - 9 - 07-Bond Strategy
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Let’s try toLet’s try tounderstand aunderstand a
story of astory of ayoung dynamicyoung dynamicmanager…manager…
Interesting!!!!!!!!!!!
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We started in the last classWe started in the last class
…MANAGING BOND RISK ...…MANAGING BOND RISK ...
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One of the basic issue behindOne of the basic issue behind
Investment Strategy in bonds is...Investment Strategy in bonds is...
“How to ensure a balance
between risk and return
while making a suitable
portfolio of bonds so as tosatisfy the risk-return
appetite of an investor?”
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INVESTMENT STRATEGIES forINVESTMENT STRATEGIES forbonds………bonds………
• Investment strategies are broadly
classified into the following categories:
Passive or Buy - and - Hold Strategy
Semi-Active Strategy
Active Strategy
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First……First……
Passive orBuy-and-Hold
Strate
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PASSIVE STRATEGYPASSIVE STRATEGY
• A buy-and-hold strategy is one whereby an
investor buys and holds bonds till the
maturity or redemption.
• In it, the primary objective of the investor is
to maximise the income over a period through
coupon and its reinvestment.
• Passive Strategies are the strategies that
once they are formed do not require active
management or changes.
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PASSIVE STRATEGYPASSIVE STRATEGY ((continuedcontinued…)…)
• A passive strategy requires noeconomic forecasting or on going
asset allocation decisions. In it, once a
portfolio is established, one simplywaits until the term of bond expires.
• If bonds’ market is efficient, thensuch a strategy would be very useful
strategy.
• The investor does not activel seek
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PASSIVE STRATEGY…???PASSIVE STRATEGY…???
• Some of the passive strategies may
be
Bond Ladder Strategy
Bond Barbell Strategy
Bond Bullet Strategy
Investment in Index Fund
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BOND LADDER STRATEGYBOND LADDER STRATEGY
Bond value changes daily and an investor can avoid losses arising dueto these fluctuations by acquiring short-term bonds. They usually have
higher transaction cost and lower yields.
On the other side, the opposite strategy is to buy longterm bond but they are having high interest rate risk.
But, if a portfolio of bonds is constructed with maturities
distributed over a period of time, then it can have the
advantages of short-term bonds as well as long term bonds.
• A bond portfolio construction strategy that invests
approximately equal amounts in every maturity within
a given range.
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BOND LADDER STRATEGYBOND LADDER STRATEGY ((continuedcontinued…)…)
• The most important advantage of such astrategy is that all the bonds would not maturein the same interest rate environment; as aconsequence-
If rates rise the value of our portfolio may fall, but we donot need to sell bonds that haven’t matured andwhatever bonds are matured that would be sold at theredemption value.
If cash is needed, the maturing bonds offer a readysource of cash.
Such a strategy is inflexible and if an investor seeks totake advantage of anticipated changes in interest rates
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Time
A m o u n t
I n v e s t e d
LADDER STRATEGY
“INVEST EQUALLY IN ALL MATURITY”
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BOND BARBELL STRATEGYBOND BARBELL STRATEGY
• In this strategy, an investor acquires portfolioconsisting of very long and very short termmaturity bonds.
• The Bond Barbell Strategy places “heavyweights” on very long and very shortmaturities, with no position in
intermediate term securities
• A fixed income securities strategystrategy in which thematurities of the securities included in the
PortfolioPortfolio are concentrated at two extremes.
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BOND BARBELL STRATEGYBOND BARBELL STRATEGY ((continuedcontinued…)…)
• The advantage of this is - an investor needs to revise onlyhalf of his/her portfolio depending upon the expectation
of changes in interest rates. If interest rates are expected
to rise, then he/she should sell the long-term bonds and
invest in short term and do the opposite if the interest rates are expected to fall.
• Following this strategy may mean that the
investor is unable to match maturities with cash
needs as effectively as he/she could do with that
of the Ladder Strategy.
• This strategy as compared to LADDERED ONE is more
risky if the anticipation about future interest rates go
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Time
A m o u n t
I n v e s t e d
BARBELL STRATEGY
“INVESTMENT
CONCENTRATED AT TWO
EXTREMES OF MATURITY”
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BOND BULLET STRATEGYBOND BULLET STRATEGY
• A single maturity is at the heart of the bulletstrategy. However, the essence is that thematurities of the bonds in the portfolio areconcentrating towards one maturity time.
• Under Bond Bullet Strategy, the maturities are concentratedUnder Bond Bullet Strategy, the maturities are concentrated
towards one end of the yield curve.towards one end of the yield curve.
• It can be best used when investor has a strong sense of theIt can be best used when investor has a strong sense of thewhen money will be needed.when money will be needed.
• Another reason to have such a strategy could be to position
a portfolio in response to strong anticipated change ininterest rates in one direction.
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BOND BULLET STRATEGYBOND BULLET STRATEGY ((continuedcontinued…)…)
• One of the advantages of the Bullet Strategy is toOne of the advantages of the Bullet Strategy is tofocus cash flows to meet expected future expendituresfocus cash flows to meet expected future expenditures
such as buying a business in future. Zero-couponsuch as buying a business in future. Zero-coupon
bonds could be appropriate in these situationsbonds could be appropriate in these situations
because they eliminate reinvestment risk and providebecause they eliminate reinvestment risk and provide
a known amount of cash at maturity.a known amount of cash at maturity.
• Another reason to have such a strategy could be to
position a portfolio in response to strong anticipated
change in interest rates in one direction.
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Time
A m o u n t
I n v e s t e d
BULLET STRATEGY
“INVESTMENT
CONCENTRATING TOWARDS
ONE MATURITY”
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INVESTMENT IN INDEX FUNDINVESTMENT IN INDEX FUND
• In this strategy, an investor selects an appropriateindex of bond market and invest in it!
• The basic philosophy of the Index Fund is - “if you can’t
beat the market, go along with it” - which is based onthe notion of Efficient Financial Markets. It is usuallyadopted by those funds who strongly believe that theycan not outperform the market.
• The idea of such a strategy is to create a portfolio thatmirrors the broad market and supposedly minimizessystematic or market related risk.
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INVESTMENT IN INDEX FUNDINVESTMENT IN INDEX FUND ((continuedcontinued…)…)
• Bond Index funds are having lot of practical problemsas bonds are continually dropped from the index as the
mature and that requires a revision.
• Also, if the index is consisting of large number of securities, then it will be very costly to create and
maintain such a portfolio.
• Generally, funds uses the publicly available indices but
they may use their own customized index specifically
designed to meet certain investment objectives.
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INVESTMENT IN INDEX FUNDINVESTMENT IN INDEX FUND ((continuedcontinued…)…)
• There are three ways that are widely used in theindustry to replicate a particular index-
Purchase all the bonds in an index in a proportion that appear
in the Index. Such an approach is called PURE BONDINDEXING.
An alternative to selecting all bonds is to use only a sample.
Another approach which is known as CELL MATCHING
approach involves decomposing the index into cells based on
some feature like credit rating, sector, duration etc. and then,
select a sample of bonds from each cell.
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Indices reported by NSE…Indices reported by NSE…
NSE G-Sec Index for the day As on 3-July-2007
As on 03-July-2007
Index Total ReturnsIndex
PrincipalReturnsindex
Avg. Coupon Avg.ResidualMaturity
PortfolioYTM
PortfolioDuration
PortfolioModifiedDuration
PortfolioConvexity
ALL 248.43 118.3 8.350 9.228 8.577 5.406 5.184 55.636
1-3 211.31 90.91 8.641 2.162 8.713 1.966 1.884 4.433
3-8 246.35 106.55 8.929 5.365 8.465 4.261 4.088 21.902
8+ 294.71 131.42 7.988 14.927 8.606 8.135 7.799 98.799
TB 227.34 227.34 0.000 0.322 7.443 0.317 0.306 0.164
GS 250.99 109.06 8.350 10.415 8.585 6.069 5.820 62.842
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Second……Second……
…Semi-Active
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SEMI - ACTIVE INVESTMENT STRATEGY -SEMI - ACTIVE INVESTMENT STRATEGY -
INTEREST IMMUNIZATION STRATEGIESINTEREST IMMUNIZATION STRATEGIES
• An investment strategy that immunizes a bond portfolio from
interest rate fluctuations is called IMMUNIZATION STRATEGY.
• An immunization strategy refers to that strategy adopted by
investors to shield their overall financial status from exposure to
interest rate fluctuations.
• A portfolio of bond is said to be immunized if the value of the
portfolio at the end of a holding period is insensitive to interestrate changes. OR, IMMUNIZATION said to exist if the total value
of a portfolio of bonds at the end of a holding period is equal to
the value of the portfolio based on the YTMs that existed when
urchased.
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SEMI - ACTIVE INVESTMENT STRATEGY - INTEREST
IMMUNIZATION STRATEGIES (continued…)
• MATCH THE MATURITY is a crude way to achieve somedegree of immunization. However, DURATION is an
important and a better tool for immunizing a bond
portfolio and therefore, we should use it for
immunization.
• Under the assumption that a yield curve is flat or there
are parallel shifts in it , it can be shown that a bond
portfolio will be immunized completely if holding periodis exactly equal to duration. In doing so, one ensures a
balance between price risk and reinvestment risk. That’s
to say that when holding period is equal to duration, the
change in price with respect to change in interest rate
E E E E E E E
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SEMI - ACTIVE INVESTMENT STRATEGY - INTEREST
IMMUNIZATION STRATEGIES (continued…)
• If an investor buys a bond whose duration is
equal to holding period, then any parallel shift
in the yield curve in near future would have
price and interest rate effects that exactly
offset each other.
• To achieve immunization, the duration of the
bond must be equal to the remaining time in
the horizon period. Hence, immunization
requires active management, called
EM VE NVE MEN R EG N ERE
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SEMI - ACTIVE INVESTMENT STRATEGY - INTEREST
IMMUNIZATION STRATEGIES (continued…)
• If Holding period/Horizon Period is same as
DURATION then the IMMUNIZATION STRATEGY
adopted is called HOLDING PERIOD
IMMUNIZATION.
• In this case, changes in the interest rate do not
change the HOLDING PERIOD RATE OF RETURN
or HORIZON RATE OF RETURN.
SEMI ACTIVE INVESTMENT STRATEGYSEMI ACTIVE INVESTMENT STRATEGY
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SEMI - ACTIVE INVESTMENT STRATEGY -SEMI - ACTIVE INVESTMENT STRATEGY -
INTEREST IMMUNIZATION STRATEGIESINTEREST IMMUNIZATION STRATEGIES (continued…)
• Immunization, that is ensuring
equality between the portfolio
duration and the holdingperiod, can be achieved using
either of the following -Ladder
Barbell
Bullet
SEMI ACTIVE INVESTMENT STRATEGYSEMI ACTIVE INVESTMENT STRATEGY
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SEMI - ACTIVE INVESTMENT STRATEGY -SEMI - ACTIVE INVESTMENT STRATEGY -
DEDICATIONDEDICATION
• DEDICATION(also known as CASH FLOW MATCHING) is concerned with financing a stream of
liabilities over a period of time; match the receipt
of cash flows from bonds to the liabilities payment
over a period of time.
• A dedicated portfolio of bonds seeks to match the
receipt of cash flows with the need for the funds sothat the interest and the principal amounts are matchedwith the payment schedule of the investor.
• No reinvestment is done here. Therefore, it has no
SEMI ACTIVE INVESTMENT STRATEGYSEMI ACTIVE INVESTMENT STRATEGY
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SEMI - ACTIVE INVESTMENT STRATEGY -SEMI - ACTIVE INVESTMENT STRATEGY -
DEDICATIONDEDICATION
• In it, if structured properly, the portfolio of bonds will cash itself out in the sense that
between every two successive liability
payments, the cash flow from the principalpayment and coupon receipts would be
sufficient to cover the next liability payment.
• The biggest risk with cash-flow matching
strategies is that the bonds selected to match
forecasted liabilities may be called, if they have
a call option, forcing the investment manager
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Third……Third……
……ActiveStrategy……ActiveStrategy
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ACTIVE INVESTMENT STRATEGYACTIVE INVESTMENT STRATEGY
• Active investment strategy involves switchingand swapping bonds as circumstances changes
in the market for fixed income securities.
• Active investment strategies are based on theassumption that the bond market is not so
efficient , thereby giving some investors the
opportunity to earn above average-profits.
• Portfolio managers with the ability to identifymispriced bonds or to “time” the bond market by
accurately predicting interest rates can make
use of the active investment strategy.
•
ACTIVE INVESTMENT STRATEGYACTIVE INVESTMENT STRATEGY
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ACTIVE INVESTMENT STRATEGYACTIVE INVESTMENT STRATEGY(continued…)(continued…)
• Active Investment Management Strategy involvessecurity selection,where attempts are made at
identifying mispriced bonds and involves market timing,
where attempts are made at forecasting general
movements in interest rates and take the advantage of turnings.
• It involves the following steps:
Determine the proper pricing of bonds under
consideration and try to identify over-and under-priced
bonds.
Forecast the level and change in the yield curve
Given the forecast determine the impact of change on the
current portfolio
ACTIVE INVESTMENT STRATEGYACTIVE INVESTMENT STRATEGY
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• Active Management Strategies are of two typeOne, Bond Swap Strategies; and
Second, Yield Curve Shift Strategies.
• Some of the Bond Swap Strategies may be:
Substitution SwapQuality Swap
Inter-Market Spread Swap
Rate Anticipation Swap
Pure Yield Pickup Swap
Tax Swap
Liquidity Swap
Besides these, one may have Contingent
Immunization-as Active Investment Strategy.
ACTIVE INVESTMENT STRATEGYACTIVE INVESTMENT STRATEGY(continued…)
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Substitution SwapSubstitution Swap
• Substitution Swap Strategy is based on theconcept of ‘temporary mis-pricing’ which is
arising due to an imbalance in the relative
supply and demand conditions in the market.
• It is an exchange of one bond for a nearly
identical substitute but with a belief that the
market has temporarily mispriced the twobonds and that the discrepancy between the
prices of bonds represents a profit
opportunity.
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Substitution Swap-Substitution Swap-ExampleExample
•EXAMPLE:Consider the following two bonds -
Bond A yielding 7.5% and it is a AA bond.
(presently held bond)
Bond B yielding 7.85% and it is also AA bond.
Here, Substitution Swap will mean sell
Bond A and Buy B; thus get higher yield.
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• Quality Swap Strategy is based on the
concept of ‘yield spread’ which is arising
due to differences in yields between
bonds of different qualities. (we all knowthat bonds of different risk quality has
different yield)
• If it is believed strongly that an economy
is improving and becoming strong, then
investors may see less credit risk in low
quality(but, higher return). In such a
Quality SwapQuality Swap
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Quality Swap-Quality Swap-ExampleExample
•EXAMPLE:Consider the following two bonds -
Bond A yielding 7.5% and it is a AA bond.
(presently held bond)
Bond B yielding 7.95% and it is also A bond.
Here, Quality Swap will mean sell Bond A and
Buy B; thus get higher yield if we are expectingno default in near future due to better
economic conditions.
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Inter-Market Spread SwapInter-Market Spread Swap
• The Inter-market Spread Swap is pursued
when an investor believes that the yield
spread between two sectors/segments of
the bond market is temporarily out of line.
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Inter-Market Spread SwapInter-Market Spread Swap --ExampleExample
•EXAMPLE:Consider the following-
Bond A is trading in BSE Debt Segment at a price
yielding 7.5% and it is a AA bond.
The same Bond A is trading at a price in NSE debt
segment yielding 7.75%.
Here, Inter-Market Spread Swap will meansell Bond A at BSE and Buy the same
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Rate Anticipation SwapRate Anticipation Swap
• Such a swap are geared toward profiting from ananticipated movement in the overall market
prices.
• It is pegged to interest rate forecasting. In case, if investors believe that rates will fall, then they will
swap bonds of longer duration. Conversely, if
rates are expected to increase, they will swap to
shorter duration bonds.
• Rate Anticipation Swap means that depending
upon the anticipation about future interest rates,
one can swap bonds with different durations. For
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Rate Anticipation Swap-Rate Anticipation Swap-ExampleExample
•EXAMPLE:
Consider the following two bonds -
Bond A is Zero-Coupon yielding 8% with maturity of 20
years. (presently held bond)
Bond B is 10% Coupon yielding 6.25% with a maturity of 5
years.
If an investor is expecting the interest rate to rise
in future, then Rate Anticipation Swap will mean
sell Bond A and Buy B; thus get minimum capital
lP Yi ld Pi k
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Pure Yield Pickup SwapsPure Yield Pickup Swaps
• These swaps are oriented toward yielimprovements over the long-term, with littleheed being paid to interim price movements inthe market.
• The basic idea of this swap strategy is toincrease return by holding higher-yield bonds.When the yield curve is upward sloping, the
pure yield pickup swap entails moving intolonger - term higher-yield bonds. In this case,the investor is willing to accept higherinterest rate risk.
l k E l
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Pure Yield Pickup Swap-Pure Yield Pickup Swap-ExampleExample
•EXAMPLE:Consider the following two bonds -
Bond A yielding 8% and it is having 5-year
maturity. (presently held bond)
Bond B yielding 8.85% and it is having a 10-year
maturity.
If the investor is concerned only with the
PURE YIELD, then Pure Yield Pickup
Swap will mean sell Bond A and Buy B;
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• Sometimes, bonds with same quality
have different yields and one of cause
of differences is tax. If such a difference
is not exactly off-set the advantages of
tax benefits, there is a possibility of
some swap strategy for obtaining higher
rate of return after tax. Then, investors
may adopt tax-swap strategies.
Tax SwapsTax Swaps
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• EXAMPLE:
Consider the following two bonds -
Bond A yielding 8% and it is a taxable bond.
(presently held bond)Bond B yielding 5.75% and it is a tax-free
bond.
If the investor is paying 30% tax, then
Tax Swap will mean sell Bond A and
Buy B; thus get higher yield(after
tax).
Tax Swaps-Tax Swaps-ExampleExample
Li idit SLi idit S
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• Sometimes, bonds with same quality
may have different yield or price
because of differences in liquidity of bonds. If an investor is not concerned
about the liquidity of a bond as he has
no intention of trading in that, then hecan take advantage of higher yield of a
less liquid bond. That is to say, an
investors may swap higher liquidity
Liquidity SwapLiquidity Swap
d E l
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• EXAMPLE:
Consider the following two bonds -Bond A yielding 8% and it is a bond having very good
liquidity in the market. (presently held bond)
Bond B yielding 8.75% and it is a comparatively less
liquid bond but is of same quality as that of Bond A.
If the investor is very keen in possessing highly liquid
bonds, then Liquidity Swap will mean sell Bond A andBuy B; thus get higher yield. It is because of the fact
that the investor is willing to take ‘liquidity liquidity
premium premium’.
Liquidity Swap-Liquidity Swap-ExampleExample
Yield Curve Shifts and BondYield Curve Shifts and Bond
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Yield Curve Shifts and Bond Yield Curve Shifts and Bond
StrategiesStrategies
Yield Curve Shift Strategies make forecasts about likelyshifts in yield curve and then devise an appropriatebond investment strategy to profit from such forecasts.
Three types of yield curve shifts occur with someregularity:
1. Parallel Shifts
2. Shifts with Twists3. Shifts with Humpedness
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ParallelParallel
Parallel Shifts: It takes place when rateson all maturities change by the samenumber of basis points.
YTM
M
•
e urve s:e urve s:
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e urve s:e urve s:TwistTwist
Shifts with a Twist: A tw i s t is a non-parallelshift, it takes place when rates are changingdifferently with either a flattening orsteepening of the yield curve.
Flattening: The spread between long-term and short-term rates decreases.
Steepening: The spread between long-term and short-term rates increases.
•
e urve s:e urve s:
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e urve s:e urve s:TwistTwist
Shifts with a Twist:Flattening:
Steepening:
↓− )YTMYTM(STLT
YTM
M
ST LTM
YTM
ST LT
•
••
••
•
•
•
•
↑− )YTMYTM( STLT
Yield Curve Shifts:Yield Curve Shifts:
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Yield Curve Shifts: Yield Curve Shifts:HumpednessHumpedness
Shifts with Humpedness: A shift withhumpedness is a non-parallel shift in whichshort-term and long-term rates change bygreater magnitudes than intermediate rates.
Positive Butterfly: There is an increase in bothshort and long-term rates relative tointermediate rates.
Negative Butterfly: There is a decrease in bothshort and long-term rates relative to
intermediate rates.
•
Y e d Curve S ts:e urve ts:
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Y e d Curve S ts:e urve ts:HumpednessHumpedness
Positive Butterfly: ST and LT rates change morethan intermediate:
Negative Butterfly: Intermediate rates changemore than ST and LT:
YTM
MST LT
M
YTM
ST LT
•
••
••
Yield Curve ShiftY e urve t
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Yield Curve Shift Y e urve tStrategiesStrategies
When the view about yield curve is -
Negative ButterflyNegative Butterfly
1. The bu l le t s t r a t egy is formed by constructing
a portfolio concentrated in one maturity area.
1. The ba rbe l l s t r a t egy is formed withinvestments concentrated in both short-termand long-term bonds.
1. The l a dde r s t r a t egy is formed with equallyallocated investments in each maturity group.
•
Yield Curve ShiftY e urve t
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Yield Curve Shift Y e urve tStrategies…Strategies…
When the view about yield curve is –
Negative ButterflyNegative Butterfly
In such a case, the investor should go for theba rbe l l s t r a t egy which will be formed withinvestments concentrated in both short-termand long-term bonds as rates of intermediaries
maturity are going to increase.
•
5 5555
Yield Curve ShiftY e urve t
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Yield Curve Shift Y e urve tStrategies…Strategies…
When the view about yield curve is -
Positive ButterflyPositive Butterfly
In such a case, the investor may go for theBu l l e t S t r a t egy which will be formed byconstructing a portfolio concentrated in onematurity area as rates of short-term as well as
long term maturity are going to increase.
•
55 555
Yield Curve ShiftY e urve t
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Yield Curve Shift Y e urve tStrategiesStrategies
Yield Curve Strategies
If investors expected a simple downward parallel shift in the yieldcurve, a bu l l e t s t r a t egy with longer duration bonds would yieldgreater returns than an investment strategy in intermediate orshort-term bonds if the expectation turns out to be correct.
.
The ba rbe l l s t r a t egy could be profitable for an investor who isforecasting an upward negative butterfly yield curve shift.
Yield Curve Shift Strategies If investors expected a simpledownward parallel shift in the yield
curve, a bu l l e t s t r a t egy with longer duration bonds would yield
greater returns than an investment strategy in intermediate or
short-term bonds if the expectation turns out to be correct..
•
CONTINGENT IMMUNIZATIONCONTINGENT IMMUNIZATION
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CONTINGENT IMMUNIZATION…CONTINGENT IMMUNIZATION…
• Such a strategy has a combination of Immunization Strategy and Active InvestmentStrategy.
• In this strategy, the investor prescribes the
minimum acceptable target yield and accordinglyit is worked out how much can be devoted toactive bond investment strategy.
• In case, the investment amount falls below thatwhich will give minimum acceptable target yield,then the accepted investment strategy becomesthat of immunization.
• Thus, contingent immunization strategy means
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That’s what we want
to discuss about
bonds’ investment
strategy
INCOME OR LOSS SOURCES DIFFERENTREINVESTMENT RATES
1 3 5 6.79 7 9 10
HOLDING PERIOD IN YEARS
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1 3 5 6.79 7 9 10
COUPON INCOME 5% Rs. 90 Rs. 270 Rs. 450 Rs. 611 Rs. 630 Rs. 810 Rs. 900
CAPITAL GAIN/LOSS Rs. 287 Rs. 234 Rs. 175 Rs. 117 Rs. 110 Rs. 39 Rs. -
INTEREST - ON - INTEREST Rs. 1 Rs. 17 Rs. 54 Rs. 106 Rs. 113 Rs. 197 Rs. 250
TOTAL RETURN Rs. 378 Rs. 521 Rs. 679 Rs. 834 Rs. 854 Rs.1,046 Rs. 1,150
COUPON INCOME 7% Rs. 90 Rs. 270 Rs. 450 Rs. 611 Rs. 630 Rs. 810 Rs. 900
CAPITAL GAIN/LOSS Rs. 132 Rs. 109 Rs. 83 Rs. 57 Rs. 53 Rs. 19 Rs. -
INTEREST - ON - INTEREST Rs. 2 Rs. 25 Rs. 78 Rs. 155 Rs. 165 Rs. 292 Rs. 373
TOTAL RETURN Rs. 223 Rs. 404 Rs. 611 Rs. 822 Rs. 849 Rs.1,121 Rs. 1,273
COUPON INCOME 9% Rs. 90 Rs. 270 Rs. 450 Rs. 611 Rs. 630 Rs. 810 Rs. 900
CAPITAL GAIN/LOSS Rs. - Rs. - Rs. - Rs. - Rs. - Rs. - Rs. -
INTEREST - ON - INTEREST Rs. 2 Rs. 32 Rs. 103 Rs. 207 Rs. 222 Rs. 398 Rs. 512
TOTAL RETURN Rs. 92 Rs. 302 Rs. 553 Rs. 818 Rs. 852 Rs.1,208 Rs. 1,412
COUPON INCOME 11% Rs. 90 Rs. 270 Rs. 450 Rs. 611 Rs. 630 Rs. 810 Rs. 900
CAPITAL GAIN/LOSSRs. (112) Rs. (96) Rs. (75) Rs. (53) Rs. (50) Rs. (18) Rs. -
INTEREST - ON - INTEREST Rs. 2 Rs. 40 Rs. 129 Rs. 264 Rs. 283 Rs. 517 Rs. 669
TOTAL RETURN Rs. (20) Rs. 214 Rs. 504 Rs. 822 Rs. 863 Rs.1,308 Rs. 1,569
COUPON INCOME 13% Rs. 90 Rs. 270 Rs. 450 Rs. 611 Rs. 630 Rs. 810 Rs. 900
CAPITAL GAIN/LOSS Rs. (209) Rs. (180) Rs. (144) Rs. (102) Rs. (97) Rs. (36) Rs. -
INTEREST - ON - INTEREST Rs. 3 Rs. 48 Rs. 157 Rs. 325 Rs. 350 Rs. 648 Rs. 847
TOTAL RETURN Rs. (116) Rs. 138 Rs. 463 Rs. 834 Rs. 883 Rs.1,422 Rs. 1,747
Interest Rates remain constant at 10%
Reinvestment Rate at the end of Year
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10% 10% 10% 10% 10% 10%
Year 1 2 3 4 5 6
88.00Rs. 96.80Rs. 106.48Rs. 117.13Rs. 128.84Rs. 141.72Rs.
88.00Rs. 96.80Rs. 106.48Rs. 117.13Rs. 128.84Rs.
88.00Rs. 96.80Rs. 106.48Rs. 117.13Rs.
88.00Rs. 96.80Rs. 106.48Rs.
88.00Rs. 96.80Rs.
88.00Rs.
Total 88.00Rs. 184.80Rs. 291.28Rs. 408.41Rs. 537.25Rs. 678.97Rs.
979.17Rs.
1,658.15Rs.
10% 10% 9% 9% 9% 9%
Year 1 2 3 4 5 6
88.00Rs. 96.80Rs. 106.48Rs. 116.06Rs. 126.51Rs. 137.89Rs.
88.00Rs. 96.80Rs. 105.51Rs. 115.01Rs. 125.36Rs.
88.00Rs. 95.92Rs. 104.55Rs. 113.96Rs.
88.00Rs. 95.92Rs. 104.55Rs.
88.00Rs. 95.92Rs.
88.00Rs.
Total 88.00Rs. 184.80Rs. 291.28Rs. 405.50Rs. 529.99Rs. 665.69Rs.
996.48Rs.
1,662.17Rs.
+ Bond Value at the end of year 6
Total Value of the portfolio at the end of year 6
Interest Rates falls to 9% After 3 Years
Reinvestment Rate at the end of Year
+ Bond Value at the end of year 6
Total Value of the portfolio at the end of year 6
Interest Rates rise to 11% After 3 Years
Reinvestment Rate at the end of Year
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10% 10% 11% 11% 11% 11%
Year 1 2 3 4 5 6
88.00Rs. 96.80Rs. 106.48Rs. 118.19Rs. 131.19Rs. 145.63Rs.
88.00Rs. 96.80Rs. 107.45Rs. 119.27Rs. 132.39Rs.
88.00Rs. 97.68Rs. 108.42Rs. 120.35Rs.
88.00Rs. 97.68Rs. 108.42Rs.
88.00Rs. 97.68Rs.
88.00Rs.
Total 88.00Rs. 184.80Rs. 291.28Rs. 411.32Rs. 544.57Rs. 692.47Rs.
962.32Rs.
1,654.79Rs.
10% 10% 13% 13% 13% 13%
Year 1 2 3 4 5 6
88.00Rs. 96.80Rs. 106.48Rs. 120.32Rs. 135.96Rs. 153.64Rs.
88.00Rs. 96.80Rs. 109.38Rs. 123.60Rs. 139.67Rs.88.00Rs. 99.44Rs. 112.37Rs. 126.97Rs.
88.00Rs. 99.44Rs. 112.37Rs.
88.00Rs. 99.44Rs.
88.00Rs.
Total 88.00Rs. 184.80Rs. 291.28Rs. 417.15Rs. 559.38Rs. 720.09Rs.
929.94Rs.
1,650.03Rs.
+ Bond Value at the end of year 6
Total Value of the portfolio at the end of year 6
Interest Rates rise to 13% After 3 Years
Reinvestment Rate at the end of Year
+ Bond Value at the end of year 6
Total Value of the portfolio at the end of year 6
HORIZON RATE OF INTEREST AND INTEREST
60%
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20%
-10%
0%
10%
20%
30%
40%
50%
1% 3% 5% 7% 9% 11% 13% 15% 17% 19%
H O R I Z O N
R A T E O
F R E T U R N
H = 1
H = 2
H = 4
H = Duratio
H = 30
H = 20