SECURITY VALUATION BOND VALUATION
|
|
- Laurel Sharp
- 6 years ago
- Views:
Transcription
1 SECURITY VALUATION BOND VALUATION When a corporation (or the government) wants to borrow money, it often sells a bond. An investor gives the corporation money for the bond, and the corporation promises to give the investor:. Regular coupon payments every period until the bond matures.. The face value of the bond when it matures. Additional Features:. Payments are a legal obligation. In case of default, bondholders can force firm into bankruptcy.. Senior or Junior debt pertains to who gets paid first in case of bankruptcy. In some cases junior debtholders can get partially paid before senior debtholders are fully paid.. Call provisions: A call provision gives the corporation the right to buy back an outstanding bond (usually at face value). 4. Put provisions: A put provision gives the bondholder the right to sell the bond back to the corporation. 5. Convertible bonds. Questions: What is the market price of a U.S. Treasury Bond? What is the relation between U.S. Treasury Bond prices and interest rates? Are U.S. interest rates expected to rise or fall? How should you pick a Certificate of Deposit? Terminology Bond: Loan made by numerous individuals and/or institutions (the bond holders) to a firm/state/country. Par Value: Principal amount to be paid at maturity, usually $000, also known as Face Value. Maturity: Amount of time that will pass until par value is paid. Coupon: Percentage of par value that is paid every year (usually semi-annually so divide by two to determine the payment amount). Current Yield: Coupon amount divided by a bond s current price.
2 Zero Coupon Bonds: Bonds which return par value at maturity but pay no coupons along the way. (We ll talk about Treasury STRIPS.) Yield to Maturity: Single, constant discount rate that equates the bond s current price to the present value of its cash flows. Bond Valuation Economic value of a bond is present value of its cash flows: CF CF CF CFN P0... N ( r) ( r) ( r) ( r) N n CFn ( r) n Three pieces of information needed to value a bond:. What are the expected cash flows?. When and how frequently do the cash flows arrive?. What is the appropriate discount rate? II. The Basic Bond Valuation Model Value = PV(stream of interest payments) + PV(maturity value). Case : Zero Coupon Bond : What is the value of a zero coupon bond with a face value of $000 and maturity of 0 years? Assume an annual interest rate of 8%, compounded semiannually. 0 0 $0 $0 $000 Price of the zero bond = $000(/.04) 0 = $ 456.9
3 Case : Coupon Bonds. What is the value of a bond that pays 8% coupon rate annually and matures in 0 years from today when the appropriate discount rate for similar bonds today is 8%?. Suppose all the factors in the economy and company remain constant. What would be the value of the same bond a year from today? Rule : The value of a bond remains constant as long as the interest rate in the economy remains constant.. Suppose the interest rate in the economy rises to 0% after the bond was issued. What is the value of the bond after one year? Rule : The bond will sell at discount.. Suppose the interest rate in the economy fell to 6% a year after the bond was issued. What is the value of the bond after one year? General Rules: Rule : The bond will sell at premium over its face value. - if the Interest Rate=Coupon Rate then Price=Face Value= if the Interest Rate> Coupon Rate then Price<Face Value - the bond is selling at discount - if the Interest Rate< Coupon Rate then Price> Face Value - the bond is selling at premium 4- as the interest rate goes up, the price of the bond goes down
4 of Bond Valuation Consider a -year, 0% coupon bond bond pays coupons annually. If is 8%, what is the highest price that bond? CF CF CF P0 ( r) ( r) ( r) (.08) (.08) (.08) $,05.54 Note that by setting CF equal to $00, we are implicitly assuming no risk of default with a face value of $000. The appropriate annual discount rate are you willing to pay for the Current yield? Coupon / Valuation = $00 / $05.54 = 9.5% What price do you expect the -year, 0% coupon bond with a face value of $000 to sell for next year, immediately after the first coupon payment? The appropriate discount rate is still 8%. CF CF E[ P ] ( r) ( r) (.08) (.08) $05.66 Current yield? Coupon / Valuation = $00 / $05.66 = 9.66% What return do you expect to earn if you buy the -year, 0% coupon bond today and sell it in exactly year? E[ P ] P0 CF E[ P ] P0 CF E[ return] P0 P0 P % 9.5% 8.00% 4
5 Between the expected capital loss of -.5% and the current yield of 9.5%, you expect to match the discount rate of 8%. Long-Term vs. Short-Term Bonds Case. Discount Rate = Coupon Rate Bond is 0-year bond with a 0% coupon and par of $000 Bond is -year bond with a 0% coupon and par of $000 5
6 Case. Discount Rate < Coupon Rate Long-Term vs. Short-Term Bonds Bond values increase when market interest rates decrease; the longer the maturity, the larger the increase. 6
7 Case. Discount Rate > Coupon Rate Long-Term vs. Short-Term Bonds Bond values decrease when market interest rates increase; the longer the maturity, the larger the decrease. Wide World of Treasury Securities U.S. Treasury borrows money to finance operations of the Federal government. What the bond is called is jointly determined by the maturity and the coupon rate: Under the assumption that these bond are default risk free, the discount rates used to price them should be the risk-free rates. Consequently, we can use observed prices on U.S. government bonds to infer the risk-free rates. 7
8 Semiannual Payments: What is the value of a bond that has a coupon rate of 8% yearly and pays interest semiannually if the effective interest rate is 0% and matures ten years from today? What is the value of a bond with a face value of $000, coupon rate of 0%, and maturity of 0 years? Assume semiannual coupon payments and an annual interest rate of 8%, compounded semiannually. Coupon Payments = $000 (0.0/) = $ $50 $50 ($50 + $000) Price = $50[ - (/.04) 0 ]/ $000(/.04) 0 = $ $456.9 = $5.9 : A three year bond pays interest of $50 semiannually and sells for $00.. What is its coupon rate?. What is its current yield? 8
9 : On January, year T, HT Company issued a 0-year bond with a 4% coupon, payable semiannually. The annual interest rate on this bond at the time of issue was 4%. 0 0 $70 $70 ($70 + $000) Value //year T = : Suppose that year after the initial offering, the going interest rate fell to 8%. At what price would the bonds sell? : In the above, suppose you bought a 4% HT bond with time to maturity of 9 years for $, After another / year, you sold the bond. Assuming the required rate of return remained at 8%, what would the selling price be? What is the rate of return from this investment? Suppose further that the interest rate remained at 8% for the next 8 years. What would happen to the price of the HT bonds over this period?
10 YIELD TO MATURITY Definition: (Market) interest rate that equates the present value of the bond s payments (coupon payments and face value) to its price. What is the effective yield to maturity if ABC bonds sell in the market for $ and pay a coupon rate annually of 8% and matures fifteen years from today? Interest Rate Risk Definition The risk to which investors are exposed due to changing interest rates. Current Market Value Current Market Interest -year, 0% Bond -year, 0% Bond 0% $,00.00 $, ,047.6,44.6 0,000.00, All things being equal, the longer the time to maturity, the greater the interest rate risk. All things being equal, the lower the coupon rate, the greater the interest rate risk. BOND MARKETS AND BOND REPORTING Treasury issues four types of bonds: Treasury Bills: Short-term zero coupon bonds; maturity of one year or less; sell at a discount to their par value Treasury STRIPS: Long-term zero coupon bonds Treasury Notes: Coupon bonds issued with 0 or less years to maturity Treasury Bonds: Coupon bonds issued with more than 0 years to maturity 0
11 Introducing the Yield Curve If you plot the ask yields for Treasury STRIPS that vary only with respect to their maturity, you obtain a yield curve Although all five of the payments are guaranteed by the U.S. Government, the five bonds offer investors five different (annualized) interest rates. Why might that be?
12 Term Structure of Interest Rates Refers to changes in the level of interest rates as you look across identical bonds with different maturities. What do each of these shapes imply about the relation between current and future interest rates? Three Theoretical Explanations. Unbiased expectations hypothesis: Rising term structure implies nominal interest rates are expected to increase, because real rate (r*) and/or inflation rate (i) is expected to increase Allows us to infer expected future rates from shape of current yield curve. Liquidity risk: Additional price volatility from changes in interest rates makes long-term bonds riskier short-term investments Rising term structure (on average). Inflation risk: Interest rates offered by long-term bonds reflect best guess about inflation, but provide more exposure to changes in inflation than investing in series of short-term bonds Rising term structure (on average)
13 Yield to Maturity Spot rates determine the bond s price. Using the spot rates from 9/95, we conclude that the bond has a value of $0.7. What single discount rate can be used to discount the bond s cash flows and arrive at the same price? We call this discount rate, r YTM, the bond s yield to maturity P 0 CF ( rytm ) ( rytm ) ( rytm 00 (.05887) CF CF ) (.05887) (.05887) 0.7 Yield to maturity is an easy way to summarize the average discount rate for a (specific) bond with multiple cash flow; it is a complicated average of the underlying spot rates. P=I i where I= Coupon Rate *000 i= Effective Interest Rate Perpetual Bond: What is the value of the perpetual bond which pays a coupon rate of 0% yearly and the effective interest rate for similar bonds is % yearly?
BOND ANALYTICS. Aditya Vyas IDFC Ltd.
BOND ANALYTICS Aditya Vyas IDFC Ltd. Bond Valuation-Basics The basic components of valuing any asset are: An estimate of the future cash flow stream from owning the asset The required rate of return for
More informationWHY DO INTEREST RATES CHANGE? Luigi Vena 02/22/2017 LIUC Università Cattaneo
WHY DO INTEREST RATES CHANGE? Luigi Vena 02/22/2017 LIUC Università Cattaneo TODAY S AGENDA Debt and Bonds Changes in interest rates Supply and demand in the bond market Yield curve Spot and forward contracts
More informationCHAPTER 8. Valuing Bonds. Chapter Synopsis
CHAPTER 8 Valuing Bonds Chapter Synopsis 8.1 Bond Cash Flows, Prices, and Yields A bond is a security sold at face value (FV), usually $1,000, to investors by governments and corporations. Bonds generally
More informationLecture 20: Bond Portfolio Management. I. Reading. A. BKM, Chapter 16, Sections 16.1 and 16.2.
Lecture 20: Bond Portfolio Management. I. Reading. A. BKM, Chapter 16, Sections 16.1 and 16.2. II. Risks associated with Fixed Income Investments. A. Reinvestment Risk. 1. If an individual has a particular
More informationCHAPTER 14. Bond Characteristics. Bonds are debt. Issuers are borrowers and holders are creditors.
Bond Characteristics 14-2 CHAPTER 14 Bond Prices and Yields Bonds are debt. Issuers are borrowers and holders are creditors. The indenture is the contract between the issuer and the bondholder. The indenture
More informationBond Prices and Yields
Bond Characteristics 14-2 Bond Prices and Yields Bonds are debt. Issuers are borrowers and holders are creditors. The indenture is the contract between the issuer and the bondholder. The indenture gives
More informationCHAPTER 9 DEBT SECURITIES. by Lee M. Dunham, PhD, CFA, and Vijay Singal, PhD, CFA
CHAPTER 9 DEBT SECURITIES by Lee M. Dunham, PhD, CFA, and Vijay Singal, PhD, CFA LEARNING OUTCOMES After completing this chapter, you should be able to do the following: a Identify issuers of debt securities;
More informationFIN 6160 Investment Theory. Lecture 9-11 Managing Bond Portfolios
FIN 6160 Investment Theory Lecture 9-11 Managing Bond Portfolios Bonds Characteristics Bonds represent long term debt securities that are issued by government agencies or corporations. The issuer of bond
More informationChapter 2: BASICS OF FIXED INCOME SECURITIES
Chapter 2: BASICS OF FIXED INCOME SECURITIES 2.1 DISCOUNT FACTORS 2.1.1 Discount Factors across Maturities 2.1.2 Discount Factors over Time 2.1 DISCOUNT FACTORS The discount factor between two dates, t
More informationBonds. 14 t. $40 (9.899) = $ $1,000 (0.505) = $ Value = $ t. $80 (4.868) + $1,000 (0.513) Value = $
Bonds Question 1 If interest rates in all maturities increase by one percent what will happen to the price of these bonds? a. The price of shorter maturity bond and the long maturity bond will fall by
More informationDisclaimer: This resource package is for studying purposes only EDUCATION
Disclaimer: This resource package is for studying purposes only EDUCATION Chapter 6: Valuing stocks Bond Cash Flows, Prices, and Yields - Maturity date: Final payment date - Term: Time remaining until
More informationCHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES
CHAPTER : THE TERM STRUCTURE OF INTEREST RATES. Expectations hypothesis: The yields on long-term bonds are geometric averages of present and expected future short rates. An upward sloping curve is explained
More informationChapter 16. Managing Bond Portfolios
Chapter 16 Managing Bond Portfolios Change in Bond Price as a Function of Change in Yield to Maturity Interest Rate Sensitivity Inverse relationship between price and yield. An increase in a bond s yield
More informationMFE8812 Bond Portfolio Management
MFE8812 Bond Portfolio Management William C. H. Leon Nanyang Business School January 16, 2018 1 / 63 William C. H. Leon MFE8812 Bond Portfolio Management 1 Overview Value of Cash Flows Value of a Bond
More informationDEBT VALUATION AND INTEREST. Chapter 9
DEBT VALUATION AND INTEREST Chapter 9 Principles Applied in This Chapter Principle 1: Money Has a Time Value. Principle 2: There is a Risk-Return Tradeoff. Principle 3: Cash Flows Are the Source of Value
More informationBond Valuation. Capital Budgeting and Corporate Objectives
Bond Valuation Capital Budgeting and Corporate Objectives Professor Ron Kaniel Simon School of Business University of Rochester 1 Bond Valuation An Overview Introduction to bonds and bond markets» What
More informationCost of Capital. Chapter 15. Key Concepts and Skills. Cost of Capital
Chapter 5 Key Concepts and Skills Know how to determine a firm s cost of equity capital Know how to determine a firm s cost of debt Know how to determine a firm s overall cost of capital Cost of Capital
More informationCHAPTER 14. Bond Prices and Yields INVESTMENTS BODIE, KANE, MARCUS. Copyright 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
CHAPTER 14 Bond Prices and Yields McGraw-Hill/Irwin Copyright 2011 by The McGraw-Hill Companies, Inc. All rights reserved. 14-2 Bond Characteristics Bonds are debt. Issuers are borrowers and holders are
More informationA CLEAR UNDERSTANDING OF THE INDUSTRY
A CLEAR UNDERSTANDING OF THE INDUSTRY IS CFA INSTITUTE INVESTMENT FOUNDATIONS RIGHT FOR YOU? Investment Foundations is a certificate program designed to give you a clear understanding of the investment
More informationBond Valuation. FINANCE 100 Corporate Finance
Bond Valuation FINANCE 100 Corporate Finance Prof. Michael R. Roberts 1 Bond Valuation An Overview Introduction to bonds and bond markets» What are they? Some examples Zero coupon bonds» Valuation» Interest
More information4. Understanding.. Interest Rates. Copyright 2007 Pearson Addison-Wesley. All rights reserved. 4-1
4. Understanding. Interest Rates Copyright 2007 Pearson Addison-Wesley. All rights reserved. 4-1 Present Value A dollar paid to you one year from now is less valuable than a dollar paid to you today Copyright
More informationInvestments. Session 10. Managing Bond Portfolios. EPFL - Master in Financial Engineering Philip Valta. Spring 2010
Investments Session 10. Managing Bond Portfolios EPFL - Master in Financial Engineering Philip Valta Spring 2010 Bond Portfolios (Session 10) Investments Spring 2010 1 / 54 Outline of the lecture Duration
More informationFin 5633: Investment Theory and Problems: Chapter#15 Solutions
Fin 5633: Investment Theory and Problems: Chapter#15 Solutions 1. Expectations hypothesis: The yields on long-term bonds are geometric averages of present and expected future short rates. An upward sloping
More information4. D Spread to treasuries. Spread to treasuries is a measure of a corporate bond s default risk.
www.liontutors.com FIN 301 Final Exam Practice Exam Solutions 1. C Fixed rate par value bond. A bond is sold at par when the coupon rate is equal to the market rate. 2. C As beta decreases, CAPM will decrease
More informationBOND & STOCK VALUATION
Chapter 7 BOND & STOCK VALUATION Bond & Stock Valuation 7-2 1. OBJECTIVE # Use PV to calculate what prices of stocks and bonds should be! Basic bond terminology and valuation! Stock and preferred stock
More informationReview Class Handout Corporate Finance, Sections 001 and 002
. Problem Set, Q 3 Review Class Handout Corporate Finance, Sections 00 and 002 Suppose you are given a choice of the following two securities: (a) an annuity that pays $0,000 at the end of each of the
More informationI. Interest Rate Sensitivity
University of California, Merced ECO 163-Economics of Investments Chapter 11 Lecture otes I. Interest Rate Sensitivity Professor Jason Lee We saw in the previous chapter that there exists a negative relationship
More informationFIXED INCOME I EXERCISES
FIXED INCOME I EXERCISES This version: 25.09.2011 Interplay between macro and financial variables 1. Read the paper: The Bond Yield Conundrum from a Macro-Finance Perspective, Glenn D. Rudebusch, Eric
More informationUnderstanding Interest Rates
Money & Banking Notes Chapter 4 Understanding Interest Rates Measuring Interest Rates Present Value (PV): A dollar paid to you one year from now is less valuable than a dollar paid to you today. Why? -
More informationBond Prices and Yields
Bond Prices and Yields BKM 10.1-10.4 Eric M. Aldrich Econ 133 UC Santa Cruz Bond Basics A bond is a financial asset used to facilitate borrowing and lending. A borrower has an obligation to make pre-specified
More informationMathematics of Financial Derivatives
Mathematics of Financial Derivatives Lecture 9 Solesne Bourguin bourguin@math.bu.edu Boston University Department of Mathematics and Statistics Table of contents 1. Zero-coupon rates and bond pricing 2.
More informationMathematics of Financial Derivatives. Zero-coupon rates and bond pricing. Lecture 9. Zero-coupons. Notes. Notes
Mathematics of Financial Derivatives Lecture 9 Solesne Bourguin bourguin@math.bu.edu Boston University Department of Mathematics and Statistics Zero-coupon rates and bond pricing Zero-coupons Definition:
More informationCHAPTER 5 Bonds and Their Valuation
5-1 5-2 CHAPTER 5 Bonds and Their Valuation Key features of bonds Bond valuation Measuring yield Assessing risk Key Features of a Bond 1 Par value: Face amount; paid at maturity Assume $1,000 2 Coupon
More informationPricing Fixed-Income Securities
Pricing Fixed-Income Securities The Relationship Between Interest Rates and Option- Free Bond Prices Bond Prices A bond s price is the present value of the future coupon payments (CPN) plus the present
More informationFoundations of Finance
Lecture 7: Bond Pricing, Forward Rates and the Yield Curve. I. Reading. II. Discount Bond Yields and Prices. III. Fixed-income Prices and No Arbitrage. IV. The Yield Curve. V. Other Bond Pricing Issues.
More informationQuestions 1. What is a bond? What determines the price of this financial asset?
BOND VALUATION Bonds are debt instruments issued by corporations, as well as state, local, and foreign governments to raise funds for growth and financing of public projects. Since bonds are long-term
More informationReading. Valuation of Securities: Bonds
Valuation of Securities: Bonds Econ 422: Investment, Capital & Finance University of Washington Last updated: April 11, 2010 Reading BMA, Chapter 3 http://finance.yahoo.com/bonds http://cxa.marketwatch.com/finra/marketd
More informationINVESTMENTS. Instructor: Dr. Kumail Rizvi, PhD, CFA, FRM
INVESTMENTS Instructor: Dr. KEY CONCEPTS & SKILLS Understand bond values and why they fluctuate How Bond Prices Vary With Interest Rates Four measures of bond price sensitivity to interest rate Maturity
More informationMonetary Economics Fixed Income Securities Term Structure of Interest Rates Gerald P. Dwyer November 2015
Monetary Economics Fixed Income Securities Term Structure of Interest Rates Gerald P. Dwyer November 2015 Readings This Material Read Chapters 21 and 22 Responsible for part of 22.2, but only the material
More informationMeasuring Interest Rates. Interest Rates Chapter 4. Continuous Compounding (Page 77) Types of Rates
Interest Rates Chapter 4 Measuring Interest Rates The compounding frequency used for an interest rate is the unit of measurement The difference between quarterly and annual compounding is analogous to
More informationFinance 100 Problem Set Bonds
Finance 100 Problem Set Bonds 1. You have a liability for paying college fees for your children of $20,000 at the end of each of the next 2 years (1998-1999). You can invest your money now (January 1 1998)
More informationFoundations of Finance
Lecture 9 Lecture 9: Theories of the Yield Curve. I. Reading. II. Expectations Hypothesis III. Liquidity Preference Theory. IV. Preferred Habitat Theory. Lecture 9: Bond Portfolio Management. V. Reading.
More information1) Which one of the following is NOT a typical negative bond covenant?
Questions in Chapter 7 concept.qz 1) Which one of the following is NOT a typical negative bond covenant? [A] The firm must limit dividend payments. [B] The firm cannot merge with another firm. [C] The
More informationMore Actuarial tutorial at 1. An insurance company earned a simple rate of interest of 8% over the last calendar year
Exam FM November 2005 1. An insurance company earned a simple rate of interest of 8% over the last calendar year based on the following information: Assets, beginning of year 25,000,000 Sales revenue X
More informationManual for SOA Exam FM/CAS Exam 2.
Manual for SOA Exam FM/CAS Exam 2. Chapter 6. Variable interest rates and portfolio insurance. c 2009. Miguel A. Arcones. All rights reserved. Extract from: Arcones Manual for the SOA Exam FM/CAS Exam
More informationReview for Exam #2. Review for Exam #2. Exam #2. Don t Forget: Scan Sheet Calculator Pencil Picture ID Cheat Sheet.
Review for Exam #2 Exam #2 Don t Forget: Scan Sheet Calculator Pencil Picture ID Cheat Sheet Things To Do Study both the notes and the book. Do suggested problems. Do more problems! Be comfortable with
More informationSECTION HANDOUT #1 : Review of Topics
SETION HANDOUT # : Review of Topics MBA 0 October, 008 This handout contains some of the topics we have covered so far. You are not required to read it, but you may find some parts of it helpful when you
More informationThis Extension explains how to manage the risk of a bond portfolio using the concept of duration.
web extension 5C Bond Risk and Duration This Extension explains how to manage the risk of a bond portfolio using the concept of duration. Bond Risk In our discussion of bond valuation in Chapter 5, we
More informationMATH/STAT 2600, Theory of Interest FALL 2014 Toby Kenney
MATH/STAT 2600, Theory of Interest FALL 2014 Toby Kenney In Class Examples () September 11, 2014 1 / 75 Compound Interest Question 1 (a) Calculate the accumulated value on maturity of $5,000 invested for
More informationTerm Structure of Interest Rates. For 9.220, Term 1, 2002/03 02_Lecture7.ppt
Term Structure of Interest Rates For 9.220, Term 1, 2002/03 02_Lecture7.ppt Outline 1. Introduction 2. Term Structure Definitions 3. Pure Expectations Theory 4. Liquidity Premium Theory 5. Interpreting
More informationValuing Bonds. Professor: Burcu Esmer
Valuing Bonds Professor: Burcu Esmer Valuing Bonds A bond is a debt instrument issued by governments or corporations to raise money The successful investor must be able to: Understand bond structure Calculate
More informationBBK3413 Investment Analysis
BBK3413 Investment Analysis Topic 4 Fixed Income Securities www.notes638.wordpress.com Content 7.1 CHARACTERISTICS OF BOND 7.2 RISKS ASSOCIATED WITH BONDS 7.3 BOND PRICING 7.4 BOND YIELDS 7.5 VOLATILITY
More informationBond Analysis & Valuation Solutions
Bond Analysis & Valuation s Category of Problems 1. Bond Price...2 2. YTM Calculation 14 3. Duration & Convexity of Bond 30 4. Immunization 58 5. Forward Rates & Spot Rates Calculation... 66 6. Clean Price
More informationCHAPTER 4 Bonds and Their Valuation Key features of bonds Bond valuation Measuring yield Assessing risk
4-1 CHAPTER 4 Bonds and Their Valuation Key features of bonds Bond valuation Measuring yield Assessing risk 4-2 Key Features of a Bond 1. Par value: Face amount; paid at maturity. Assume $1,000. 2. Coupon
More informationEcon 330: Money and Banking, Spring 2015, Handout 2
Econ 330: Money and Banking, Spring 2015, Handout 2 February 5, 2015 1 Chapter 4 : Understanding interest rate Math Joke: A mathematician organizes a raffle in which the prize is an infinite amount of
More informationI. Asset Valuation. The value of any asset, whether it is real or financial, is the sum of all expected future earnings produced by the asset.
1 I. Asset Valuation The value of any asset, whether it is real or financial, is the sum of all expected future earnings produced by the asset. 2 1 II. Bond Features and Prices Definitions Bond: a certificate
More informationLecture 8 Foundations of Finance
Lecture 8: Bond Portfolio Management. I. Reading. II. Risks associated with Fixed Income Investments. A. Reinvestment Risk. B. Liquidation Risk. III. Duration. A. Definition. B. Duration can be interpreted
More informationMidterm Review Package Tutor: Chanwoo Yim
COMMERCE 298 Intro to Finance Midterm Review Package Tutor: Chanwoo Yim BCom 2016, Finance 1. Time Value 2. DCF (Discounted Cash Flow) 2.1 Constant Annuity 2.2 Constant Perpetuity 2.3 Growing Annuity 2.4
More information8.3 Coupon Bonds, Current yield, and Yield to Maturity
8.3 Coupon Bonds, Current yield, and Yield to Maturity 8.3.a Coupon Bonds Coupon bond: It makes periodic payments of interest. Coupon payments:periodic payments of interest are called coupons. Coupon rate:
More informationDetermine how many years until the bond matures.
Chapter 6 Section 2 1. Hanjie purchases a 10 year zero coupon bond for 500 and will be paid 1000 at end of 10 years. Calculate the annual effective return received by Hanjie. 2. A 20 year bond with a par
More informationACF719 Financial Management
ACF719 Financial Management Bonds and bond management Reading: BEF chapter 5 Topics Key features of bonds Bond valuation and yield Assessing risk 2 1 Key features of bonds Bonds are relevant to the financing
More informationBond and Common Share Valuation
Bond and Common Share Valuation Lakehead University Fall 2004 Outline of the Lecture Bonds and Bond Valuation The Determinants of Interest Rates Common Share Valuation 2 Bonds and Bond Valuation A corporation
More informationFinance 402: Problem Set 1
Finance 402: Problem Set 1 1. A 6% corporate bond is due in 12 years. What is the price of the bond if the annual percentage rate (APR) is 12% per annum compounded semiannually? (note that the bond pays
More informationSECURITY ANALYSIS AND PORTFOLIO MANAGEMENT. 2) A bond is a security which typically offers a combination of two forms of payments:
Solutions to Problem Set #: ) r =.06 or r =.8 SECURITY ANALYSIS AND PORTFOLIO MANAGEMENT PVA[T 0, r.06] j 0 $8000 $8000 { {.06} t.06 &.06 (.06) 0} $8000(7.36009) $58,880.70 > $50,000 PVA[T 0, r.8] $8000(4.49409)
More informationChapter 5. Interest Rates and Bond Valuation. types. they fluctuate. relationship to bond terms and value. interest rates
Chapter 5 Interest Rates and Bond Valuation } Know the important bond features and bond types } Compute bond values and comprehend why they fluctuate } Appreciate bond ratings, their meaning, and relationship
More informationSOCIETY OF ACTUARIES FINANCIAL MATHEMATICS. EXAM FM SAMPLE QUESTIONS Interest Theory
SOCIETY OF ACTUARIES EXAM FM FINANCIAL MATHEMATICS EXAM FM SAMPLE QUESTIONS Interest Theory This page indicates changes made to Study Note FM-09-05. January 14, 2014: Questions and solutions 58 60 were
More informationCHAPTER 4 SIMPLE AND COMPOUND INTEREST INCLUDING ANNUITY APPLICATIONS. Copyright -The Institute of Chartered Accountants of India
CHAPTER 4 SIMPLE AND COMPOUND INTEREST INCLUDING ANNUITY APPLICATIONS SIMPLE AND COMPOUND INTEREST INCLUDING ANNUITY- APPLICATIONS LEARNING OBJECTIVES After studying this chapter students will be able
More informationJEM034 Corporate Finance Winter Semester 2017/2018
JEM034 Corporate Finance Winter Semester 2017/2018 Lecture #1 Olga Bychkova Topics Covered Today Review of key finance concepts Present value (chapter 2 in BMA) Valuation of bonds (chapter 3 in BMA) Present
More informationI. Introduction to Bonds
University of California, Merced ECO 163-Economics of Investments Chapter 10 Lecture otes I. Introduction to Bonds Professor Jason Lee A. Definitions Definition: A bond obligates the issuer to make specified
More informationGlobal Financial Management
Global Financial Management Bond Valuation Copyright 24. All Worldwide Rights Reserved. See Credits for permissions. Latest Revision: August 23, 24. Bonds Bonds are securities that establish a creditor
More informationINTRODUCTION TO FINANCIAL AND ACTUARIAL MATHEMATICS. Marek Šulista, Václav Nýdl, Gregory Moore
INTRODUCTION TO FINANCIAL AND ACTUARIAL MATHEMATICS Marek Šulista, Václav Nýdl, Gregory Moore 2 Text vznikl v rámci grantu FRVŠ 1632/2005. Chapter 1 BONDS Bond or debenture is a debt instrument that obligates
More informationChapter 5. Bonds, Bond Valuation, and Interest Rates
Chapter 5 Bonds, Bond Valuation, and Interest Rates 1 Chapter 5 applies Time Value of Money techniques to the valuation of bonds, defines some new terms, and discusses how interest rates are determined.
More information7. Bonds and Interest rates
1 7. Bonds and Interest rates Fixed income may seem boring, but it s not. It s a huge and very dynamic market. Much larger than equities. Bond traders can take on similar levels of risk and earn similar
More informationFixed Income. ECE 695 Financial Engineering Ilya Pollak Spring 2012
Fixed Income ECE 695 Financial Engineering Spring 2012 Fixed Income Securi>es Owning a share = par>al ownership of the company. Owning a bond = loaning money to the company. Company obligated to pay principal
More informationLecture 2 Valuation of Fixed Income Securities (a)
Lecture 2 Valuation of Fixed Income Securities (a) Since we all now have a basic idea of how time value of money works, it is time we put the techniques we learned to some use 1 Fixed Income Securities
More informationMath 147 Section 6.4. Application Example
Math 147 Section 6.4 Present Value of Annuities 1 Application Example Suppose an individual makes an initial investment of $1500 in an account that earns 8.4%, compounded monthly, and makes additional
More informationDebt. Last modified KW
Debt The debt markets are far more complicated and filled with jargon than the equity markets. Fixed coupon bonds, loans and bills will be our focus in this course. It's important to be aware of all of
More informationForward Contracts. Bjørn Eraker. January 12, Wisconsin School of Business
Wisconsin School of Business January 12, 2015 Basic definition A forward contract on some asset is an agreement today to purchase the asset at an agreed upon price (the forward price) today, for delivery
More informationMath 373 Test 3 Fall 2013 November 7, 2013
Math 373 Test 3 Fall 2013 November 7, 2013 1. You are given the following spot interest rate curve: Time t Spot Rate r t 0.5 3.2% 1.0 3.5% 1.5 3.9% 2.0 4.4% 2.5 5.0% 3.0 5.7% 3.5 6.5% 4.0 7.5% Calculate
More informationCHAPTER 13 RISK, COST OF CAPITAL, AND CAPITAL BUDGETING
CHAPTER 13 RISK, COST OF CAPITAL, AND CAPITAL BUDGETING Answers to Concepts Review and Critical Thinking Questions 1. No. The cost of capital depends on the risk of the project, not the source of the money.
More informationSecurity Analysis. Bond Valuation
Security Analysis Bond Valuation Background on Bonds Bonds represent long-term debt securities Contractual Promise to pay future cash flows to investors The issuer of the bond is obligated to pay: Interest
More information1. Why is it important for corporate managers to understand how bonds and shares are priced?
CHAPTER 4 CONCEPT REVIEW QUESTIONS 1. Why is it important for corporate managers to understand how bonds and shares are priced? Managers need to know this because (1) firms regularly issue stocks and bonds
More informationBonds and Their Valuation
Chapter 7 Bonds and Their Valuation Key Features of Bonds Bond Valuation Measuring Yield Assessing Risk 7 1 What is a bond? A long term debt instrument in which a borrower agrees to make payments of principal
More informationChapter Review Problems
Chapter Review Problems State all stock and bond prices in dollars and cents. Unit 14.1 Stocks 1. When a corporation earns a profit, the board of directors is obligated by law to immediately distribute
More informationAlan Brazil. Goldman, Sachs & Co.
Alan Brazil Goldman, Sachs & Co. Assumptions: Coupon paid every 6 months, $100 of principal paid at maturity, government guaranteed 1 Debt is a claim on a fixed amount of cashflows in the future A mortgage
More informationACC 471 Practice Problem Set #2 Fall Suggested Solutions
ACC 471 Practice Problem Set #2 Fall 2002 Suggested Solutions 1. Text Problems: 11-6 a. i. Current ield: 70 960 7 29%. ii. Yield to maturit: solving 960 35 1 1 1 000 1 for gives a ield to maturit of 4%
More informationFuture Value of Multiple Cash Flows
Future Value of Multiple Cash Flows FV t CF 0 t t r CF r... CF t You open a bank account today with $500. You expect to deposit $,000 at the end of each of the next three years. Interest rates are 5%,
More informationCFAspace. CFA Level I. Provided by APF. Academy of Professional Finance 专业金融学院 FIXED INCOME: Lecturer: Nan Chen
CFAspace Provided by APF CFA Level I FIXED INCOME: Introduction to the Valuation of Debt Securities Lecturer: Nan Chen Framework Estimate CFs: Coupon and Principal 1. Steps in Bond Valuation Process Determine
More informationFixed income security. Face or par value Coupon rate. Indenture. The issuer makes specified payments to the bond. bondholder
Bond Prices and Yields Bond Characteristics Fixed income security An arragement between borrower and purchaser The issuer makes specified payments to the bond holder on specified dates Face or par value
More informationLecture 7 Foundations of Finance
Lecture 7: Fixed Income Markets. I. Reading. II. Money Market. III. Long Term Credit Markets. IV. Repurchase Agreements (Repos). 0 Lecture 7: Fixed Income Markets. I. Reading. A. BKM, Chapter 2, Sections
More informationINSTITUTE OF ACTUARIES OF INDIA
INSTITUTE OF ACTUARIES OF INDIA EXAMINATIONS 05 th November 2014 Subject CT1 Financial Mathematics Time allowed: Three Hours (10.30 13.30 Hrs) Total Marks: 100 INSTRUCTIONS TO THE CANDIDATES 1. Please
More informationRunning head: THE TIME VALUE OF MONEY 1. The Time Value of Money. Ma. Cesarlita G. Josol. MBA - Acquisition. Strayer University
Running head: THE TIME VALUE OF MONEY 1 The Time Value of Money Ma. Cesarlita G. Josol MBA - Acquisition Strayer University FIN 534 THE TIME VALUE OF MONEY 2 Abstract The paper presents computations about
More informationMIDTERM EXAMINATION. Spring MGT201- Financial Management (Session - 3) Rate that will be paid on the next dollar of taxable income
MIDTERM EXAMINATION Spring 2010 MGT201- Financial Management (Session - 3) Time: 60 min Marks: 44 Question No: 1 ( Marks: 1 ) Which of the following is equal to the average tax rate? Total tax liability
More information[Image of Investments: Analysis and Behavior textbook]
Finance 527: Lecture 19, Bond Valuation V1 [John Nofsinger]: This is the first video for bond valuation. The previous bond topics were more the characteristics of bonds and different kinds of bonds. And
More informationProblems and Solutions
1 CHAPTER 1 Problems 1.1 Problems on Bonds Exercise 1.1 On 12/04/01, consider a fixed-coupon bond whose features are the following: face value: $1,000 coupon rate: 8% coupon frequency: semiannual maturity:
More informationChapter 3: Debt financing. Albert Banal-Estanol
Corporate Finance Chapter 3: Debt financing Albert Banal-Estanol Debt issuing as part of a leverage buyout (LBO) What is an LBO? How to decide among these options? In this chapter we should talk about
More informationDUKE UNIVERSITY The Fuqua School of Business. Financial Management Spring 1989 TERM STRUCTURE OF INTEREST RATES*
DUKE UNIVERSITY The Fuqua School of Business Business 350 Smith/Whaley Financial Management Spring 989 TERM STRUCTURE OF INTEREST RATES* The yield curve refers to the relation between bonds expected yield
More informationSAMPLE FINAL QUESTIONS. William L. Silber
SAMPLE FINAL QUESTIONS William L. Silber HOW TO PREPARE FOR THE FINAL: 1. Study in a group 2. Review the concept questions in the Before and After book 3. When you review the questions listed below, make
More informationKEY CONCEPTS AND SKILLS
Chapter 5 INTEREST RATES AND BOND VALUATION 5-1 KEY CONCEPTS AND SKILLS Know the important bond features and bond types Comprehend bond values (prices) and why they fluctuate Compute bond values and fluctuations
More informationMBF1243 Derivatives Prepared by Dr Khairul Anuar
MBF1243 Derivatives Prepared by Dr Khairul Anuar L3 Determination of Forward and Futures Prices www.mba638.wordpress.com Consumption vs Investment Assets When considering forward and futures contracts,
More information