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Copyright © 2012 Pearson Prentice Hall.
All rights reserved.
Chapter 6
Interest Rates
And Bond
Valuation
Cost of Money
• Money can be obtained from debts or equity
both of which has a cost
– Cost of debt = interest
– Cost of equity = dividends
• What is cost for the borrowers of funds is
the return for lenders or investors.
– Return for bond or debt investors = interest,
capital gains
– Return for equity investors = dividends, capital
gains.
Fundamental factors affecting
“Cost of Money”
• Production Opportunities: The investment opportunities in
productive (cash-generating) assets.
• Time preference for consumption: The preference of
consumers for current consumption as opposed to saving for
future consumption.
• Risk: In a financial market context, the chance that an
investment will provide a low or negative return (i.e.
uncertainty of the future).
• Inflation: The amount by which prices increase over time
mostly due to the devaluation of currency.
© 2012 Pearson Prentice Hall. All rights reserved. 6-4
Interest Rates and Required
Returns: Interest Rate Fundamentals
• The interest rate is usually applied to debt instruments
such as bank loans or bonds; the compensation paid by
the borrower of funds to the lender; from the borrower’s
point of view, the cost of borrowing funds.
• The required return is usually applied to equity
instruments such as common stock; the cost of funds
obtained by selling an ownership interest.
© 2012 Pearson Prentice Hall. All rights reserved. 6-5
Interest Rates and Required Returns:
Interest Rate Fundamentals
• Several factors can influence the equilibrium interest rate:
1. Inflation, which is a rising trend in the prices of most goods and services.
2. Risk, which leads investors to expect a higher return on their investment
3. Liquidity preference, which refers to the general tendency of investors to
prefer short-term securities
© 2012 Pearson Prentice Hall. All rights reserved. 6-6
Interest Rates and Required
Returns: The Real Rate of Interest
• The real rate of interest is the rate that creates
equilibrium between the supply of savings and the
demand for investment funds in a perfect world, without
inflation, where suppliers and demanders of funds have
no liquidity preferences and there is no risk.
• The real rate of interest changes with changing economic
conditions, tastes, and preferences.
• The supply-demand relationship that determines the real
rate is shown in Figure 6.1 on the following slide.
© 2012 Pearson Prentice Hall. All rights reserved. 6-7
Figure 6.1
Supply–Demand Relationship
© 2012 Pearson Prentice Hall. All rights reserved. 6-8
Interest Rates and Required Returns:
Nominal or Actual Rate of Interest (Return)
• The nominal rate of interest is the actual rate of interest charged
by the supplier of funds and paid by the demander.
• The nominal rate differs from the real rate of interest, r* as a result
of two factors:
– Inflationary expectations reflected in an inflation premium (IP), and
– Issuer and issue characteristics such as default risks and contractual
provisions as reflected in a risk premium (RP).
Determinants of Market Interest Rates
• Nominal, Actual or Quoted Interest Rate = r
• r = r* + IP + DRP +LP +MRP
– r* = real risk-free rate of interest
– IP = Inflation Premium
– DRP = Default Risk Premium
– LP = Liquidity Premium
– MRP = Maturity Risk Premium
© 2012 Pearson Prentice Hall. All rights reserved. 6-10
Interest Rates and Required Returns:
Nominal or Actual Rate of Interest (cont.)
• The nominal rate of interest for security 1, r1, is given by the
following equation:
• The nominal rate can be viewed as having two basic components: a
risk-free rate of return, RF, and a risk premium, RP1:
r1 = RF + RP1
© 2012 Pearson Prentice Hall. All rights reserved. 6-11
Interest Rates and Required Returns:
Nominal or Actual Rate of Interest (cont.)
• For the moment, ignore the risk premium, RP1, and focus
exclusively on the risk-free rate. The risk free rate can be
represented as:
RF = r* + IP
• The risk-free rate (as shown in the preceding equation) embodies
the real rate of interest plus the expected inflation premium.
• The inflation premium is driven by investors’ expectations about
inflation—the more inflation they expect, the higher will be the
inflation premium and the higher will be the nominal interest rate.
© 2012 Pearson Prentice Hall. All rights reserved. 6-12
Figure 6.2
Impact of Inflation
© 2012 Pearson Prentice Hall. All rights reserved. 6-13
Term Structure of Interest
Rates
• The term structure of interest rates is the relationship between the
maturity and rate of return for bonds with similar levels of risk.
• A graphic depiction of the term structure of interest rates is called the
yield curve.
• The yield to maturity is the compound annual rate of return earned
on a debt security purchased on a given day and held to maturity.
• Terms structure of interest rates describes the relationship between
long-term and short-term interest rates through a yield curve.
• Yield curve is a graph showing the relationship between bond yields
(returns) and maturities
• Interest rates of long-term maturity bonds and short-term maturity bonds in
the spot market varies.
© 2012 Pearson Prentice Hall. All rights reserved. 6-14
Figure 6.3
Treasury Yield Curves
© 2012 Pearson Prentice Hall. All rights reserved. 6-15
Term Structure of Interest
Rates: Yield Curves (cont.)
• A normal yield curve is an upward-sloping yield curve
indicates that long-term interest rates are generally higher
than short-term interest rates.
• An inverted yield curve is a downward-sloping yield
curve indicates that short-term interest rates are generally
higher than long-term interest rates.
• A flat yield curve is a yield curve that indicates that
interest rates do not vary much at different maturities.
© 2012 Pearson Prentice Hall. All rights reserved. 6-16
Term Structure of Interest Rates:
Theories of Term Structure
Expectations Theory
– Expectations theory is the theory that the yield curve
reflects investor expectations about future interest
rates; an expectation of rising interest rates results in an
upward-sloping yield curve, and an expectation of
declining rates results in a downward-sloping yield
curve.
© 2012 Pearson Prentice Hall. All rights reserved. 6-17
Term Structure of Interest Rates:
Theories of Term Structure (cont.)
Expectations Theory (example)
– Suppose that a 5-year Treasury note currently offers a
3% annual return. Investors believe that interest rates
are going to decline, and 5 years from now, they expect
the rate on a 5-year Treasury note to be 2.5%.
According to the expectations theory, what is the return
that a 10-year Treasury note has to offer today? What
does this imply about the slope of the yield curve?
© 2012 Pearson Prentice Hall. All rights reserved. 6-18
Term Structure of Interest Rates:
Theories of Term Structure (cont.)
Expectations Theory (example)
– Consider an investor who purchases a 5-year note today and
plans to reinvest in another 5-year note in the future. Over the
10-year investment horizon, this investor expects to earn about
27.5%, ignoring compounding (that’s 3% per year for the first
5 years and 2.5% per year for the next 5 years). To compete with
that return, a 10-year bond today could offer 2.75% per year.
That is, a bond that pays (27.5/10yrs)=2.75% for each of the
next 10 years produces the same 27.5% total return that the
series of two, 5-year notes is expected to produce. Therefore, the
5-year rate today is 3% and the 10-year rate today is 2.75%, and
the yield curve is downward sloping.
© 2012 Pearson Prentice Hall. All rights reserved. 6-19
Term Structure of Interest Rates:
Theories of Term Structure (cont.)
Liquidity Preference Theory
– Liquidity preference theory suggests that long-term
rates are generally higher than short-term rates (hence,
the yield curve is upward sloping) because investors
perceive short-term investments to be more liquid and
less risky than long-term investments. Borrowers must
offer higher rates on long-term bonds to entice
investors away from their preferred short-term
securities.
© 2012 Pearson Prentice Hall. All rights reserved. 6-20
Term Structure of Interest Rates:
Theories of Term Structure (cont.)
Market Segmentation Theory
– Market segmentation theory suggests that the market
for loans is segmented on the basis of maturity and that
the supply of and demand for loans within each
segment determine its prevailing interest rate; the slope
of the yield curve is determined by the general
relationship between the prevailing rates in each
market segment.
© 2012 Pearson Prentice Hall. All rights reserved. 6-21
Risk Premiums: Issue and
Issuer Characteristics
© 2012 Pearson Prentice Hall. All rights reserved. 6-22
Table 6.1 Debt-Specific Issuer- and
Issue-Related Risk Premium Components
Macroeconomic Factors that
influence Interest Rate levels
• Monetary Policy
• Federal Budget deficit or surplus
• International Factors
• Level of business activity
Monetary Policy
• Central banks like Bangladesh Bank and
Federal Reserves control money supply in the
economy.
• Too much supply will reduce the short-term
interest rates and increase the long-term
rates.
• Too little supply will have the opposite effect
Fiscal Policy
• Government makes federal budgets annually,
which is the basis of the country’s fiscal
policy.
• A deficit in the budget means government
have to borrow funds to cover it up and this
increases the demand for funds and thus the
interest rates.
• Sometimes government forces the central
bank to print in more money thus increasing
the supply and reducing the short-term rates.
International Factors
• Foreign Trade Deficit is a situation that exists
when a country imports more than it exports.
– Whenever there is deficit, it means borrowing
becomes necessary and this effects the interest
rates.
• Interest rates in other countries affect
the borrowings of local companies,
involved in foreign trade, and thus it
affects the local interest rates.
Business Activity
• Business activities include investments in new
ventures or expansion
• When there is a collective increase in business
activities in a country, then demand for funds
increases which also increase the short-term interest
rates.
© 2012 Pearson Prentice Hall. All rights reserved. 6-28
Review of Learning Goals
LG1 Describe interest rate fundamentals, the term structure of
interest rates, and risk premiums.
– The flow of funds between savers and borrowers is regulated by the
interest rate or required return. In a perfect, inflation-free, certain world
there would be one cost of money—the real rate of interest. The nominal
or actual interest rate is the sum of the risk-free rate and a risk premium
reflecting issuer and issue characteristics. The risk-free rate is the real
rate of interest plus an inflation premium.
– For any class of similar-risk securities, the term structure of interest
rates reflects the relationship between the interest rate or rate of return
and the time to maturity. Risk premiums for non-Treasury debt issues
result from business risk, financial risk, interest rate risk, liquidity risk,
tax risk, default risk, maturity risk, and contractual provision risk.

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Fin254-ch06_nnh-interest.ppt

  • 1. Copyright © 2012 Pearson Prentice Hall. All rights reserved. Chapter 6 Interest Rates And Bond Valuation
  • 2. Cost of Money • Money can be obtained from debts or equity both of which has a cost – Cost of debt = interest – Cost of equity = dividends • What is cost for the borrowers of funds is the return for lenders or investors. – Return for bond or debt investors = interest, capital gains – Return for equity investors = dividends, capital gains.
  • 3. Fundamental factors affecting “Cost of Money” • Production Opportunities: The investment opportunities in productive (cash-generating) assets. • Time preference for consumption: The preference of consumers for current consumption as opposed to saving for future consumption. • Risk: In a financial market context, the chance that an investment will provide a low or negative return (i.e. uncertainty of the future). • Inflation: The amount by which prices increase over time mostly due to the devaluation of currency.
  • 4. © 2012 Pearson Prentice Hall. All rights reserved. 6-4 Interest Rates and Required Returns: Interest Rate Fundamentals • The interest rate is usually applied to debt instruments such as bank loans or bonds; the compensation paid by the borrower of funds to the lender; from the borrower’s point of view, the cost of borrowing funds. • The required return is usually applied to equity instruments such as common stock; the cost of funds obtained by selling an ownership interest.
  • 5. © 2012 Pearson Prentice Hall. All rights reserved. 6-5 Interest Rates and Required Returns: Interest Rate Fundamentals • Several factors can influence the equilibrium interest rate: 1. Inflation, which is a rising trend in the prices of most goods and services. 2. Risk, which leads investors to expect a higher return on their investment 3. Liquidity preference, which refers to the general tendency of investors to prefer short-term securities
  • 6. © 2012 Pearson Prentice Hall. All rights reserved. 6-6 Interest Rates and Required Returns: The Real Rate of Interest • The real rate of interest is the rate that creates equilibrium between the supply of savings and the demand for investment funds in a perfect world, without inflation, where suppliers and demanders of funds have no liquidity preferences and there is no risk. • The real rate of interest changes with changing economic conditions, tastes, and preferences. • The supply-demand relationship that determines the real rate is shown in Figure 6.1 on the following slide.
  • 7. © 2012 Pearson Prentice Hall. All rights reserved. 6-7 Figure 6.1 Supply–Demand Relationship
  • 8. © 2012 Pearson Prentice Hall. All rights reserved. 6-8 Interest Rates and Required Returns: Nominal or Actual Rate of Interest (Return) • The nominal rate of interest is the actual rate of interest charged by the supplier of funds and paid by the demander. • The nominal rate differs from the real rate of interest, r* as a result of two factors: – Inflationary expectations reflected in an inflation premium (IP), and – Issuer and issue characteristics such as default risks and contractual provisions as reflected in a risk premium (RP).
  • 9. Determinants of Market Interest Rates • Nominal, Actual or Quoted Interest Rate = r • r = r* + IP + DRP +LP +MRP – r* = real risk-free rate of interest – IP = Inflation Premium – DRP = Default Risk Premium – LP = Liquidity Premium – MRP = Maturity Risk Premium
  • 10. © 2012 Pearson Prentice Hall. All rights reserved. 6-10 Interest Rates and Required Returns: Nominal or Actual Rate of Interest (cont.) • The nominal rate of interest for security 1, r1, is given by the following equation: • The nominal rate can be viewed as having two basic components: a risk-free rate of return, RF, and a risk premium, RP1: r1 = RF + RP1
  • 11. © 2012 Pearson Prentice Hall. All rights reserved. 6-11 Interest Rates and Required Returns: Nominal or Actual Rate of Interest (cont.) • For the moment, ignore the risk premium, RP1, and focus exclusively on the risk-free rate. The risk free rate can be represented as: RF = r* + IP • The risk-free rate (as shown in the preceding equation) embodies the real rate of interest plus the expected inflation premium. • The inflation premium is driven by investors’ expectations about inflation—the more inflation they expect, the higher will be the inflation premium and the higher will be the nominal interest rate.
  • 12. © 2012 Pearson Prentice Hall. All rights reserved. 6-12 Figure 6.2 Impact of Inflation
  • 13. © 2012 Pearson Prentice Hall. All rights reserved. 6-13 Term Structure of Interest Rates • The term structure of interest rates is the relationship between the maturity and rate of return for bonds with similar levels of risk. • A graphic depiction of the term structure of interest rates is called the yield curve. • The yield to maturity is the compound annual rate of return earned on a debt security purchased on a given day and held to maturity. • Terms structure of interest rates describes the relationship between long-term and short-term interest rates through a yield curve. • Yield curve is a graph showing the relationship between bond yields (returns) and maturities • Interest rates of long-term maturity bonds and short-term maturity bonds in the spot market varies.
  • 14. © 2012 Pearson Prentice Hall. All rights reserved. 6-14 Figure 6.3 Treasury Yield Curves
  • 15. © 2012 Pearson Prentice Hall. All rights reserved. 6-15 Term Structure of Interest Rates: Yield Curves (cont.) • A normal yield curve is an upward-sloping yield curve indicates that long-term interest rates are generally higher than short-term interest rates. • An inverted yield curve is a downward-sloping yield curve indicates that short-term interest rates are generally higher than long-term interest rates. • A flat yield curve is a yield curve that indicates that interest rates do not vary much at different maturities.
  • 16. © 2012 Pearson Prentice Hall. All rights reserved. 6-16 Term Structure of Interest Rates: Theories of Term Structure Expectations Theory – Expectations theory is the theory that the yield curve reflects investor expectations about future interest rates; an expectation of rising interest rates results in an upward-sloping yield curve, and an expectation of declining rates results in a downward-sloping yield curve.
  • 17. © 2012 Pearson Prentice Hall. All rights reserved. 6-17 Term Structure of Interest Rates: Theories of Term Structure (cont.) Expectations Theory (example) – Suppose that a 5-year Treasury note currently offers a 3% annual return. Investors believe that interest rates are going to decline, and 5 years from now, they expect the rate on a 5-year Treasury note to be 2.5%. According to the expectations theory, what is the return that a 10-year Treasury note has to offer today? What does this imply about the slope of the yield curve?
  • 18. © 2012 Pearson Prentice Hall. All rights reserved. 6-18 Term Structure of Interest Rates: Theories of Term Structure (cont.) Expectations Theory (example) – Consider an investor who purchases a 5-year note today and plans to reinvest in another 5-year note in the future. Over the 10-year investment horizon, this investor expects to earn about 27.5%, ignoring compounding (that’s 3% per year for the first 5 years and 2.5% per year for the next 5 years). To compete with that return, a 10-year bond today could offer 2.75% per year. That is, a bond that pays (27.5/10yrs)=2.75% for each of the next 10 years produces the same 27.5% total return that the series of two, 5-year notes is expected to produce. Therefore, the 5-year rate today is 3% and the 10-year rate today is 2.75%, and the yield curve is downward sloping.
  • 19. © 2012 Pearson Prentice Hall. All rights reserved. 6-19 Term Structure of Interest Rates: Theories of Term Structure (cont.) Liquidity Preference Theory – Liquidity preference theory suggests that long-term rates are generally higher than short-term rates (hence, the yield curve is upward sloping) because investors perceive short-term investments to be more liquid and less risky than long-term investments. Borrowers must offer higher rates on long-term bonds to entice investors away from their preferred short-term securities.
  • 20. © 2012 Pearson Prentice Hall. All rights reserved. 6-20 Term Structure of Interest Rates: Theories of Term Structure (cont.) Market Segmentation Theory – Market segmentation theory suggests that the market for loans is segmented on the basis of maturity and that the supply of and demand for loans within each segment determine its prevailing interest rate; the slope of the yield curve is determined by the general relationship between the prevailing rates in each market segment.
  • 21. © 2012 Pearson Prentice Hall. All rights reserved. 6-21 Risk Premiums: Issue and Issuer Characteristics
  • 22. © 2012 Pearson Prentice Hall. All rights reserved. 6-22 Table 6.1 Debt-Specific Issuer- and Issue-Related Risk Premium Components
  • 23. Macroeconomic Factors that influence Interest Rate levels • Monetary Policy • Federal Budget deficit or surplus • International Factors • Level of business activity
  • 24. Monetary Policy • Central banks like Bangladesh Bank and Federal Reserves control money supply in the economy. • Too much supply will reduce the short-term interest rates and increase the long-term rates. • Too little supply will have the opposite effect
  • 25. Fiscal Policy • Government makes federal budgets annually, which is the basis of the country’s fiscal policy. • A deficit in the budget means government have to borrow funds to cover it up and this increases the demand for funds and thus the interest rates. • Sometimes government forces the central bank to print in more money thus increasing the supply and reducing the short-term rates.
  • 26. International Factors • Foreign Trade Deficit is a situation that exists when a country imports more than it exports. – Whenever there is deficit, it means borrowing becomes necessary and this effects the interest rates. • Interest rates in other countries affect the borrowings of local companies, involved in foreign trade, and thus it affects the local interest rates.
  • 27. Business Activity • Business activities include investments in new ventures or expansion • When there is a collective increase in business activities in a country, then demand for funds increases which also increase the short-term interest rates.
  • 28. © 2012 Pearson Prentice Hall. All rights reserved. 6-28 Review of Learning Goals LG1 Describe interest rate fundamentals, the term structure of interest rates, and risk premiums. – The flow of funds between savers and borrowers is regulated by the interest rate or required return. In a perfect, inflation-free, certain world there would be one cost of money—the real rate of interest. The nominal or actual interest rate is the sum of the risk-free rate and a risk premium reflecting issuer and issue characteristics. The risk-free rate is the real rate of interest plus an inflation premium. – For any class of similar-risk securities, the term structure of interest rates reflects the relationship between the interest rate or rate of return and the time to maturity. Risk premiums for non-Treasury debt issues result from business risk, financial risk, interest rate risk, liquidity risk, tax risk, default risk, maturity risk, and contractual provision risk.