...Chapter 6 Bonds and their Valuation OVERVIEW This chapter presents a discussion of the key characteristics of bonds, and then uses time value of money concepts to determine bond values. Bonds are one of the most important types of securities to investors, and are a major source of financing for corporations and governments. The value of any financial asset is the present value of the cash flows expected from that asset. Therefore, once the cash flows have been estimated, and a discount rate determined, the value of the financial asset can be calculated. A bond is valued as the present value of the stream of interest payments (an annuity) plus the present value of the par value, which is the principal amount for the bond, and is received by the investor on the bond’s maturity date. Depending on the relationship between the current interest rate and the bond’s coupon rate, a bond can sell at its par value, at a discount, or at a premium. The total rate of return on a bond is comprised of two components: interest yield and capital gains yield. The bond valuation concepts developed earlier in the chapter are used to illustrate interest rate and reinvestment rate risk. In addition, default risk, various types of corporate bonds, bond ratings, and bond markets are discussed. Outline A bond is a long-term contract under which a borrower agrees to make payments of interest and principal, on specific dates, to the holders of the bond. There are four...
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...Bond Yields Interest rates have a big part in determining the yield of a bond. If interest rates rise, the bond will be worth less and if they fall bonds will be worth more. The Yield to Maturity or YTM is the rate of return the lender or borrower will earn if the bond is not sold before its maturity. It can be also referred to as the bond`s yield. In order to be able to calculate the Yield to Maturity, some of the things you would need to know are the current price, the par value, the interest payments, and the maturity date for the bond. A coupon is the stated interest payment made on a bond. The market value will be less than par value if the required rate of return is above the coupon interest rate. Bond will be valued above pay value if the required rate of return is below the coupon interest rate. Also, the lower the coupon rate the greater the interest rate risk. Interest rate risk refers to the risk of fluctuating interest rates. In other words, bond values have an inverse relationship to interest rates. Long-term bonds will have a greater interest rate risk than short-term bonds. Interest rates have a greater impact on long-term bonds because it takes longer for them to mature. Typically, the more you can earn from a bond the more risk there is to it. However, the more risk there is to a bond the more likely either the borrower might default. Bonds have a rating system which gives them a rating based on the likelihood...
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... a) Bond – is a long term contract under which the borrower agrees to make payments of interest and principal, on specific dates, to the holders of the bond. Treasury bonds – sometimes referred to as government bonds, are issued by the U.S. federal government. These bonds have not default risk. However, these bonds decline when interest rates rise, so they are not free of all risk Corporate bonds – issued by corporate; exposed to default risk – if the issuing company gets into trouble, it may be unable to make the promised interest and principal payments. Different corporate bonds have different levels of default risk, depending on the issuing company’s characteristics and the terms of the specific bond. Default risk often referred to as “credit risk” and the larger the default or credit risk, the higher the interest rate the issuer must pay. Municipal bond – or “munis “ are issued by state and local governments. Like corporate bonds, munis have default risk. Munis offer one major advantage over all the other bonds is exempt from federal taxes and also from state taxes if the holder is a resident of the issuing state. Munis bonds carry interest rates that are considerably lower than those on corporate bonds with the same default risk Foreign bond – are issued by foreign governments or foreign corporations. Foreign corporate bonds are of course exposed to default risk, and so are some foreign government bonds. An additional risk exists if the bonds are denominated...
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...(iv) A plot of the interest rates on default-free government bonds with different terms to maturity is called A) a risk-structure curve. B) a default-free curve. C) an interest-rate curve. D) a yield curve. (v) When yield curves are steeply upward sloping, A) short-term interest rates are above long-term interest rates. B) short-term interest rates are about the same as long-term interest rates. C) medium-term interest rates are above both short-term and long-term interest rates. D) long-term interest rates are above short-term interest rates. (vi) If the expected path of one-year interest rates over the next five years is 4 percent, 5 percent, 7 percent, 8 percent, and 6 percent, then the expectations theory predicts that today's interest rate on the five-year bond is A) 4 percent. B) 5 percent. C) 6 percent. D) 7 percent. (vii) According to the liquidity premium theory of the term structure A) because buyers of bonds may prefer bonds of one maturity over another, interest rates on bonds of different maturities do not move together over time. B) because of the positive term premium, the yield curve will not be observed to be downward sloping. C) the interest rate on long-term bonds will equal an average of short-term interest rates that people expect to occur over the life of the long-term bonds plus a term premium. D) the interest rate for each maturity bond is determined by supply and demand for that maturity bond. Chapter 5 Q10. Suppose investors...
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...of Form Bottom of Form * Bond Markets / Prices * Commentary * Learn More * Overview * Bond Basics * What You Should Know * Buying and Selling Bonds * Types of Bonds * Strategies * Bonds at Your Stage of Life * About Municipal Bonds * About Government/Agency Bonds * About Corporate Bonds * About MBS/ABS * How to Use This Site * Links to Other Sites Learn More * Overview * Bond Basics * What You Should Know * Overview * The Role of Bonds in America * Investor's Checklist * Investor Protection * Asset Allocation * Reading Bond Prices In the Newspaper * Understanding Economic Statistics * Bond and Bond Funds * Risks of Investing in Bonds * Rating Changes and Your Investments * Corporate Bankruptcy & Your Investment * Selecting and Working with a Financial Professional * Rising Rates and Your Investments * Tax Tables * Buying and Selling Bonds * Types of Bonds * Strategies * Bonds at Your Stage of Life * About Municipal Bonds * About Government/Agency Bonds * About Corporate Bonds * About MBS/ABS * How to Use This Site * Links to Other Sites What You Should Know * Print * Email Risks of Investing in Bonds All investments offer a balance between risk and potential return. The risk is the chance that you will lose...
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...Chapter 6 Rate The Risk and Term Structure of Interest In the previous section, we have generalized our discussion of the influence of various factors on the behavior in interest rate by examining only a particular type of bonds: namely, the 1-year zero coupon bond. However, there are many types of bonds: bonds with different maturity, bonds issued by different parties (i.e. government vs. corporate), etc. As a result, there is a different interest rate for each type of bond. We will look at the behavior of interest rates of two groups of bonds: (1) Bonds with the same features but are issued by different agency. In other words, we want to look at the risk structure of interest rates. (2) Bonds issued by the same agency but have different term to maturity (i.e. life of the bond). In other words, we want to look at the term structure of interest rates. 1. Risk structure of interest rate As we have discussed in the previous section, the (relative) risk level of an asset affects its demands according to the theory of asset demand. The higher the relative risk level, the lower the demand of that asset. According to the theory of asset demand, this leads to an increase in interest rate. In other words, investors need to be compensated with a higher return (in the form of higher interest rate) in order to induce them to hold the assets. There are a number of factors that affect the risk level of a bond. In this section, we will focus on only 3 of them: default risk, liquidity, and tax...
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...4 Define the following terms: bond indenture, par value, principal, maturity, call provision, and sinking fund. Bond indenture. Bond indenture is a legal contract for a publicly traded bond. The structure of this contract outline incentives explicitly by detailing responsibilities, constraints, penalties, and oversight required. For example, contracts may specify interest and principal payment timing and amounts. Par value. Par value denotes face value or designated value of a bond or stock. Par value of a bond is typically $1,000 and the sum investors pay upon issue. It is also the sum received when they redeem the bond matures. Conversely, stock par value is frequently set at $1. In this case, par value is an accounting tool that shows no connection to the stocks’ market value. Principal. The term “principal” refers to a sum of money one borrows or invests. The face amount of a bond - the value printed on a stock or bond, or a debt balance. Principal does not encompass finance charges. Principal also describes an investor represented by a broker who executes trades on that investor’s behalf or an investor who trades for his or her own benefit. Principal also refers to a party affected by an agent’s decisions in a principal-agent relationship. Maturity. Maturity is the end of a bond’s life. In finance, maturity (or maturity date) designates the date of final payment on a financial instrument. Maturity value is the amount of money the bond issuer must repay at the end of...
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... 2 – Chapter 4 The Risk and Term Structure of Interest Rates Two ques3ons about interest rates of bonds ¤ Why bonds with the same maturity have different yields/ interest rates? => Risk structure of interest rates ¤ Why bonds with iden3fied characteris3cs have different yields/ interest rates? => Term structure of interest rates FIGURE 1 Long-‐Term Bond Yields, 1919– 2008 Sources: Board of Governors of the Federal Reserve System, Banking and Monetary Sta4s4cs, 1941–1970; Federal Reserve: www.federalreserve.gov/releases/h15/data.htm. Risk Structure of Interest Rates ¤ Bonds with the same maturity have different interest rates due to they have different characteris3cs of: ¤ Default risk ¤ Liquidity ¤ Tax considera3ons/ tax status ¤ Special provisions Default risk ¤ Default (credit) risk: probability that the issuer of the bond is unable or unwilling to make interest payments or pay off ...
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...Answers to Review Questions 1. The real rate of interest is the rate that creates an equilibrium between the supply of savings and demand for investment funds. The nominal rate of interest is the actual rate of interest charged by the supplier and paid by the demander. The nominal rate of interest differs from the real rate of interest due to two factors: (1) a premium due to inflationary expectations (IP) and (2) a premium due to issuer and issue characteristic risks (RP). The nominal rate of interest for a security can be defined as r1 r* IP RP. For a 3-month U.S. Treasury bill, the nominal rate of interest can be stated as r1 r* IP. The default risk premium, RP, is assumed to be zero since the security is backed by the U.S. government; this security is commonly considered the risk-free asset. 2. The term structure of interest rates is the relationship of the rate of return to the time to maturity for any class of similar-risk securities. The graphic presentation of this relationship is the yield curve. 3. For a given class of securities, the slope of the curve reflects an expectation about the movement of interest rates over time. The most commonly used class of securities is U.S. Treasury securities. a. Downward sloping: Long-term borrowing costs are lower than short-term borrowing costs. b. Upward sloping: Short-term borrowing costs are lower than long-term borrowing costs. c. Flat: Borrowing costs are relatively similar for short- and long-term loans. The upward-sloping...
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...Tutorial – Bonds Solutions Memo 1) Define the following terms: a. Most bonds contain a call provision, which gives the issuing corporation the right to call the bonds for redemption. The call provision generally states that if the bonds are called, the company must pay the bondholders an amount greater than the par value, a call premium.Redeemable bonds give investors the right to sell the bonds back to the corporation at a price that is usually close to the par value. If interest rates rise, investors can redeem the bonds and reinvest at the higher rates.A sinking fund provision facilitates the orderly retirement of a bond issue. This can be achieved in one of two ways: The company can call in for redemption (at par value) a certain percentage of bonds each year. The company may buy the required amount of bonds on the open market. b. Bond prices and interest rates are inversely related; that is, they tend to move in the opposite direction from one another. A fixed-rate bond will sell at par when its coupon interest rate is equal to the going rate of interest, rd. When the going rate of interest is above the coupon rate, a fixed-rate bond will sell at a "discount" below its par value. If current interest rates are below the coupon rate, a fixed-rate bond will sell at a "premium" above its par value. c. The current yield on a bond is the annual coupon payment divided by the current market price. YTM, or yield to maturity, is the rate of interest earned on a bond if...
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...Lecture 4: Bond Market and Bond Valuation GMBA 609: Managerial Finance Dr Anthony Owusu-Ansah aowusu-ansah@gimpa.edu.gh GIMPA Business School October 2014 Dr Owusu-Ansah (GIMPA Business School) Lecture 4: Bonds October 2014 1 / 49 Learning Objectives At the end of this session, you should be able to: De…ne and understand the basic mechanisms of the bond market Describe interest rate fundamentals, the term structure of interest rates, and risk premiums. Describe the legal aspects and the features of di¤erent types of bonds. Apply the basic valuation model to bonds, and describe the impact of required return and time to maturity on bond values. Explain yield to maturity (YTM), its calculation, and the procedure used to value bonds that pay interest semiannually. Dr Owusu-Ansah (GIMPA Business School) Lecture 4: Bonds October 2014 2 / 49 Types of Loans Pure Discount Loan Interest-only Loan Amortized with Fixed Principal payment Amortized with Fixed Payment Dr Owusu-Ansah (GIMPA Business School) Lecture 4: Bonds October 2014 3 / 49 Pure Discount Loans Treasury bills are excellent examples of pure discount loans. The principal amount is repaid at some future date, without any periodic interest payments. Dr Owusu-Ansah (GIMPA Business School) Lecture 4: Bonds October 2014 4 / 49 Pure Discount Loans...con’ t Problem If a T-bill promises to repay $10,000 in 12 months and the market interest rate is 7 percent, how much...
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...Running Head: BONDS UNIVERSITY OF TECHNOLOGY, JAMAICA School of Advanced Management/Post Graduate Division Managerial Finance MBA 5002 Individual Assignment Title: Bonds, a Method of Finance Name and Identification Number: Jodiann Henry - 0416180 Lecturer: Kerwin Hamil Date: Saturday, April 11, 2015 A project report submitted in partial fulfillment of the requirements for the award of the degree of. MASTER OF BUSINESS ADMINISTRATION from the University of Technology, Jamaica. Running Head: BONDS For debt securities the issuer is obliged to repay and there is always recourse if he/she fails to honour those obligations; the main type of debt security is known as Bonds. Bonds are referred to as debt securities or debt instruments issued by a corporation or a government to raise money from the public. Its basic provisions generally entail a series of contractual interest payments, at a particular (fixed or variable) rate of interest (coupon) based on a stated par (face value) of the bond. As investing in bonds is considered less risky, people tend to invest with the objective of earning higher returns on their investments. Bonds can be traditional, zero coupon, typical or perpetual. Traditional bonds are purchased at face value, they pay face value at maturity and they pay regular interest. Zero coupon bonds pay no interest over their life. These bonds are purchased at a discount and pays face value at maturity. A typical bond purchased today...
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...chapter 07 Interest Rates and Bond Valuation Answer Key Multiple Choice Questions 1. Mary just purchased a bond which pays $60 a year in interest. What is this $60 called? A. coupon B. face value C. discount D. call premium E. yield Refer to section 7.1 AACSB: N/A Bloom's: Knowledge Difficulty: Basic Learning Objective: 7-1 Section: 7.1 Topic: Coupon 2. Bert owns a bond that will pay him $75 each year in interest plus a $1,000 principal payment at maturity. What is the $1,000 called? A. coupon B. face value C. discount D. yield E. dirty price Refer to section 7.1 AACSB: N/A Bloom's: Knowledge Difficulty: Basic Learning Objective: 7-1 Section: 7.1 Topic: Face value 3. A bond's coupon rate is equal to the annual interest divided by which one of the following? A. call price B. current price C. face value D. clean price E. dirty price Refer to section 7.1 AACSB: N/A Bloom's: Knowledge Difficulty: Basic Learning Objective: 7-1 Section: 7.1 Topic: Coupon rate 4. The specified date on which the principal amount of a bond is payable is referred to as which one of the following? A. coupon date B. yield date C. maturity D. dirty date E. clean date Refer to section 7.1 AACSB: N/A Bloom's: Knowledge Difficulty: Basic Learning Objective: 7-1 Section: 7.1 Topic: Maturity 5. Currently, the bond market requires a return of 11.6 percent on the 10-year bonds issued by Winston Industries. The...
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...BONDS Bonds are investment instruments in a form of debt issued by corporate companies or government body. When investors buy a bond, they are lending money to the issuer of the bonds; investors who own the bonds are called the bond holder. A person who buys bond is likely seeking to earn two kinds of income, Periodic incomes and Capital Gains. A Bond holder gets fixed coupon interest periodically in return until the bond matures at a stated coupon rate as specified in the in the bond contract known as an indenture. When the bond reaches the maturity date, the par value will be the amount that will be repaid to investors. The issuer’s legal obligation is completed once the principal amount is returned. Important point to note is that bonds are sold at bond price; it is not the same as a par value. Par value is fixed throughout the life of the bond and doesn’t change while as for a bond price, it fluctuates with interest rates. Bond holders will receive capital gain whenever market interest rate falls as Bond prices moves inversely with interest rates. With that being said, the key factor that affects bond’s investment return would be the interest rates. When interest rate falls, bond prices will increase. If interest rates are higher than the coupon rate of a bond, the bond will be sold at a discount as it is sold below par value; investors will earn a capital gain. Investors are consistently facing interest rate risk when there is a change in interest rate. The...
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...4 Define the following terms: bond indenture, par value, principal, maturity, call provision, and sinking fund. Bond indenture. Bond indenture is a legal contract for a publicly traded bond. The structure of this contract outline incentives explicitly by detailing responsibilities, constraints, penalties, and oversight required. For example, contracts may specify interest and principal payment timing and amounts. Par value. Par value denotes face value or designated value of a bond or stock. Par value of a bond is typically $1,000 and the sum investors pay upon issue. It is also the sum received when they redeem the bond matures. Conversely, stock par value is frequently set at $1. In this case, par value is an accounting tool that shows no connection to the stocks’ market value. Principal. The term “principal” refers to a sum of money one borrows or invests. The face amount of a bond - the value printed on a stock or bond, or a debt balance. Principal does not encompass finance charges. Principal also describes an investor represented by a broker who executes trades on that investor’s behalf or an investor who trades for his or her own benefit. Principal also refers to a party affected by an agent’s decisions in a principal-agent relationship. Maturity. Maturity is the end of a bond’s life. In finance, maturity (or maturity date) designates the date of final payment on a financial instrument. Maturity value is the amount of money the bond issuer must repay at the end of...
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