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1
INVESTMENT ANALYSIS
&
PORTFOLIO MANAGEMENT
Lecture # 28
Dr.Shahid A. Zia
2
Investing Internationally
• Direct investing:
– US stockbrokers can buy and sell securities
on foreign stock exchanges.
– Foreign firms may list their securities on a US
exchange or on NASDAQ.
– Purchase ADR’s
– Purchase GDR’s
3
Derivative Securities
• Securities whose value is derived from another
security.
• Futures and options contracts are standardized
and performance is guaranteed by a third party.
– Risk management tools.
• Warrants are options issued by firms.
4
Other Forms
• Futures
• Forwards
• SWOPS
5
Options
• Exchange-traded options are created by
investors, not corporations.
• Call (Put): Buyer has the right but not the
obligation to purchase (sell) a fixed quantity from
(to) the seller at a fixed price before a certain
date.
• Increases return possibilities.
6
Futures
• Short-term future market.
• Futures contract: A standardized agreement
between a buyer and seller to make future
delivery of a fixed asset at a fixed price.
– A “good faith deposit,” called margin, is
required of both the buyer and seller to
reduce default risk.
7
Bond Fundamentals Bond
Principles
• Identification of Bonds
• Maturity of Bonds
• Classification of Bonds
• Terms of Repayment
• Registration
8
Bond Fundamentals Bond
Principles
• Bonds are identified by:
- Issuers
- Coupon rate
- Maturity date
9
Classification of Bonds
Bonds are classified according to:
- The nature of the issuer
- Security behind the bonds
- Some bonds provide a conversion feature
- Exchanged for another asset
- Usually shares of common stock in the
issuing companies
- The bond indenture spells out the details.
10
Terms of Repayment
• The income stream associated with most
bonds contains:
- an annuity stream
- a single sum to be received in the future
11
Bond Pricing & Returns
• Valuation Equations
• Yield to Maturity
• Spot Rates
• Realized Compound Yield
• Current Yield
• Accrued Interest
12
Yield to maturity
• The discount rate that equates the present
value of the future cash flows with the current
price of the bond.
• By tradition, bond yield to maturity is based on
semiannual compounding.
13
Required Rate of Return
14
Bond Cash Flows
• A major assumption of the yield to maturity
calculation:
– the requirement that coupon proceeds be
reinvested at the bond’s yield to maturity.
• If the reinvestment rate is different from the
bond’s rate, the rate of return ultimately realized
will be different.
15
Return of Bond
• When comparing bonds with other investments,
the effective annual yield (realized compound
yield) should be used to make a realistic
comparison.
• The yield curve shows the relationship between
yield and time until maturity.
• Bonds accrue interest each day they are held.
16
Bond Prices
• Corporate bonds usually trade in minimum price
increments of 1/8%, while government bonds
trade in 1/32nds.
• Bond prices are expressed as a percentage of
par value.
17
Bond Risks
18
Price Risks
• Price Risks Refer to the chance of monetary loss
due to:
1. default risk:
The likelihood of the firm defaulting on its loan
repayments.
2. interest rate risk:
The variability of interest rates.
19
Sovereign Risk
20
Convenience Risks
• Refer to additional demands on management
time because of;
- Bonds being called by their issuers.
- The need to reinvest interest received.
- Poor marketability of a particular issue.
• May bonds have a period of call protection and
subsequently a declining call premium.
21
Bonds
22
Interest Rates
• Rates and basis points:
– 100 basis points are equal to one percentage
point.
• Short-term riskless rate:
– Provides foundation for other rates.
– Approximated by rate on Treasury bills.
– Other rates differ because of;
• Maturity differentials
• Security risk premiums
23
Interest Rates
• Maturity differentials:
– Term structure of interest rates.
• Accounts for the relationship between time
and yield for bonds the same in every other
respect.
• Risk premium:
– Yield spread or yield differential.
– Associated with issuer’s particular situation.
24
Determinants of Interest Rates
• Real rate of interest:
– Rate that must be offered to persuade
investors to save rather than consume.
– Rate at which real capital physically
reproduces itself.
• Nominal interest rate:
– Function of the real rate of interest and
expected inflation premium.
25
Real Interest Rates
26
Determinants of Interest Rates
• Market interest rates on interest debt 
• real rate + expected inflation
– Fisher Hypothesis
– Real Estate
• Real rate estimates obtained by subtracting the
expected inflation rate from the observed
nominal rate.
27
• Inverse relationship between price and yield.
• An increase in a bond’s yield to maturity results
in a smaller price decline than the gain
associated with a decrease in yield.
• Long-term bonds tend to be more price sensitive
than short-term bonds.
Bond Pricing Relationships
28
Bond Pricing Relationships
• The relationships with respect to maturity are not
exact as they are when duration is used.
• In discussing the pricing relationships it is helpful
to discuss how maturity and cash flows as
measured by coupon rates must be considered
to get exact relationships.
29
• As maturity increases, price sensitivity increases
at a decreasing rate.
• Price sensitivity is inversely related to a bond’s
coupon rate.
• Price sensitivity is inversely related to the yield
to maturity at which the bond is selling.
Bond Pricing Relationships (cont’d)
30
Measuring Bond Yields
• Yield to maturity:
– Most commonly used.
– Promised compound rate of return received
from a bond purchased at the current market
price and held to maturity.
– Equates the present value of the expected
future cash flows to the initial investment.
• Similar to internal rate of return.
31
• Solve for YTM:
– For a zero coupon bond
• Investors earn the YTM if the bond is held to
maturity and all coupons are reinvested at YTM
1}
{[MV/P]
2
YTM 1/2n



Yield to Maturity
n
n
t
t
t
)
YTM/
(
MV
)
YTM/
(
/
C
P 2
2
1 2
1
2
1
2






32
Yield to Call
• Yield based on the deferred call period.
• Substitute number of periods until first call date
for and call price for face value.
c
c
t
t
t
)
YTC/
(
CP
)
YTC/
(
/
C
P 2
2
1 2
1
2
1
2






33
Realized Compound Yield
• Rate of return actually earned on a bond given
the reinvestment of the coupons at varying rates
• Horizon return analysis
– Bond returns based on assumptions about
reinvestment rates
– Rates will vary.
0
1
2
1
.
nd
rice of bo
Purchase p
re dollars
Total futu
RCY
n
/








34
Bond Valuation Principle
• Intrinsic value:
– An estimated value.
– Present value of the expected cash flows.
– Required to compute intrinsic value;
• Expected cash flows.
• Timing of expected cash flows.
• Discount rate, or required rate of return by
investors.
35
• Value of a coupon bond:
• Biggest problem is determining the discount rate
or required yield.
• Required yield is the current market rate earned
on comparable bonds with same maturity and
credit risk.
n
n
t
t
t
)
r/
(
MV
)
r/
(
/
C
V 2
2
1 2
1
2
1
2






Bond Valuation
36
Bond Price Changes
• Over time, bond prices that differ from face value
must change.
• Bond prices move inversely to market yields.
• The change in bond prices due to a yield change
is directly related to time to maturity and
indirectly related to coupon rate.
37
Bond Price Changes
• Holding maturity
constant, a rate
decrease will raise
prices a greater
percentage than a
corresponding
increase in rates will
lower prices.
Market yield

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Lesson 28.ppt

  • 2. 2 Investing Internationally • Direct investing: – US stockbrokers can buy and sell securities on foreign stock exchanges. – Foreign firms may list their securities on a US exchange or on NASDAQ. – Purchase ADR’s – Purchase GDR’s
  • 3. 3 Derivative Securities • Securities whose value is derived from another security. • Futures and options contracts are standardized and performance is guaranteed by a third party. – Risk management tools. • Warrants are options issued by firms.
  • 4. 4 Other Forms • Futures • Forwards • SWOPS
  • 5. 5 Options • Exchange-traded options are created by investors, not corporations. • Call (Put): Buyer has the right but not the obligation to purchase (sell) a fixed quantity from (to) the seller at a fixed price before a certain date. • Increases return possibilities.
  • 6. 6 Futures • Short-term future market. • Futures contract: A standardized agreement between a buyer and seller to make future delivery of a fixed asset at a fixed price. – A “good faith deposit,” called margin, is required of both the buyer and seller to reduce default risk.
  • 7. 7 Bond Fundamentals Bond Principles • Identification of Bonds • Maturity of Bonds • Classification of Bonds • Terms of Repayment • Registration
  • 8. 8 Bond Fundamentals Bond Principles • Bonds are identified by: - Issuers - Coupon rate - Maturity date
  • 9. 9 Classification of Bonds Bonds are classified according to: - The nature of the issuer - Security behind the bonds - Some bonds provide a conversion feature - Exchanged for another asset - Usually shares of common stock in the issuing companies - The bond indenture spells out the details.
  • 10. 10 Terms of Repayment • The income stream associated with most bonds contains: - an annuity stream - a single sum to be received in the future
  • 11. 11 Bond Pricing & Returns • Valuation Equations • Yield to Maturity • Spot Rates • Realized Compound Yield • Current Yield • Accrued Interest
  • 12. 12 Yield to maturity • The discount rate that equates the present value of the future cash flows with the current price of the bond. • By tradition, bond yield to maturity is based on semiannual compounding.
  • 14. 14 Bond Cash Flows • A major assumption of the yield to maturity calculation: – the requirement that coupon proceeds be reinvested at the bond’s yield to maturity. • If the reinvestment rate is different from the bond’s rate, the rate of return ultimately realized will be different.
  • 15. 15 Return of Bond • When comparing bonds with other investments, the effective annual yield (realized compound yield) should be used to make a realistic comparison. • The yield curve shows the relationship between yield and time until maturity. • Bonds accrue interest each day they are held.
  • 16. 16 Bond Prices • Corporate bonds usually trade in minimum price increments of 1/8%, while government bonds trade in 1/32nds. • Bond prices are expressed as a percentage of par value.
  • 18. 18 Price Risks • Price Risks Refer to the chance of monetary loss due to: 1. default risk: The likelihood of the firm defaulting on its loan repayments. 2. interest rate risk: The variability of interest rates.
  • 20. 20 Convenience Risks • Refer to additional demands on management time because of; - Bonds being called by their issuers. - The need to reinvest interest received. - Poor marketability of a particular issue. • May bonds have a period of call protection and subsequently a declining call premium.
  • 22. 22 Interest Rates • Rates and basis points: – 100 basis points are equal to one percentage point. • Short-term riskless rate: – Provides foundation for other rates. – Approximated by rate on Treasury bills. – Other rates differ because of; • Maturity differentials • Security risk premiums
  • 23. 23 Interest Rates • Maturity differentials: – Term structure of interest rates. • Accounts for the relationship between time and yield for bonds the same in every other respect. • Risk premium: – Yield spread or yield differential. – Associated with issuer’s particular situation.
  • 24. 24 Determinants of Interest Rates • Real rate of interest: – Rate that must be offered to persuade investors to save rather than consume. – Rate at which real capital physically reproduces itself. • Nominal interest rate: – Function of the real rate of interest and expected inflation premium.
  • 26. 26 Determinants of Interest Rates • Market interest rates on interest debt  • real rate + expected inflation – Fisher Hypothesis – Real Estate • Real rate estimates obtained by subtracting the expected inflation rate from the observed nominal rate.
  • 27. 27 • Inverse relationship between price and yield. • An increase in a bond’s yield to maturity results in a smaller price decline than the gain associated with a decrease in yield. • Long-term bonds tend to be more price sensitive than short-term bonds. Bond Pricing Relationships
  • 28. 28 Bond Pricing Relationships • The relationships with respect to maturity are not exact as they are when duration is used. • In discussing the pricing relationships it is helpful to discuss how maturity and cash flows as measured by coupon rates must be considered to get exact relationships.
  • 29. 29 • As maturity increases, price sensitivity increases at a decreasing rate. • Price sensitivity is inversely related to a bond’s coupon rate. • Price sensitivity is inversely related to the yield to maturity at which the bond is selling. Bond Pricing Relationships (cont’d)
  • 30. 30 Measuring Bond Yields • Yield to maturity: – Most commonly used. – Promised compound rate of return received from a bond purchased at the current market price and held to maturity. – Equates the present value of the expected future cash flows to the initial investment. • Similar to internal rate of return.
  • 31. 31 • Solve for YTM: – For a zero coupon bond • Investors earn the YTM if the bond is held to maturity and all coupons are reinvested at YTM 1} {[MV/P] 2 YTM 1/2n    Yield to Maturity n n t t t ) YTM/ ( MV ) YTM/ ( / C P 2 2 1 2 1 2 1 2      
  • 32. 32 Yield to Call • Yield based on the deferred call period. • Substitute number of periods until first call date for and call price for face value. c c t t t ) YTC/ ( CP ) YTC/ ( / C P 2 2 1 2 1 2 1 2      
  • 33. 33 Realized Compound Yield • Rate of return actually earned on a bond given the reinvestment of the coupons at varying rates • Horizon return analysis – Bond returns based on assumptions about reinvestment rates – Rates will vary. 0 1 2 1 . nd rice of bo Purchase p re dollars Total futu RCY n /        
  • 34. 34 Bond Valuation Principle • Intrinsic value: – An estimated value. – Present value of the expected cash flows. – Required to compute intrinsic value; • Expected cash flows. • Timing of expected cash flows. • Discount rate, or required rate of return by investors.
  • 35. 35 • Value of a coupon bond: • Biggest problem is determining the discount rate or required yield. • Required yield is the current market rate earned on comparable bonds with same maturity and credit risk. n n t t t ) r/ ( MV ) r/ ( / C V 2 2 1 2 1 2 1 2       Bond Valuation
  • 36. 36 Bond Price Changes • Over time, bond prices that differ from face value must change. • Bond prices move inversely to market yields. • The change in bond prices due to a yield change is directly related to time to maturity and indirectly related to coupon rate.
  • 37. 37 Bond Price Changes • Holding maturity constant, a rate decrease will raise prices a greater percentage than a corresponding increase in rates will lower prices. Market yield