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BASIC BOND ANALYSIS Joanna Place
Handbooks in Central Banking No. 20 BASIC BOND ANALYSIS Joanna Place Series editor: Juliette Healey Issued by the Centre for Central Banking Studies, Bank of England, London EC2R 8AH Telephone 020 7601 3892, Fax 020 7601 5650 December 2000 © Bank of England 2000 ISBN 1 85730 197 8 1 BASIC BOND ANALYSIS Joanna Place Contents Page Abstract ...................................................................................................................3 1 Introduction ......................................................................................................5 2 Pricing a bond ...................................................................................................5 2.1 Single cash flow .....................................................................................5 2.2 Discount Rate .........................................................................................6 2.3 Multiple cash flow..................................................................................7 2.4 Dirty Prices and Clean Prices.................................................................8 2.5 Relationship between Price and Yield .......................................................10 3 Yields and Yield Curves .................................................................................11 3.1 Money market yields ..........................................................................11 3.2 Uses of yield measures and yield curve theories ...............................12 3.3 Flat yield..............................................................................................12 -
Fixed Income 2
2 | Fixed Income Fixed 2 CFA Society Italy CFA Society Italy è l’associazione Italiana dei professionisti che lavorano nell’industria Fixed finanziaria italiana. CFA Society Italy nata nel 1999 come organizzazione no profit, è affiliata a CFA Institute, l’associazione globale di professionisti degli investimenti che definisce gli Income standard di eccellenza per il settore. CFA Society Italy ha attualmente oltre 400 soci attivi, nel mondo i professionisti certificati CFA® sono oltre 150.000. Assegnato per la prima volta nel 1963, CFA® è la designazione di eccellenza professionale per la comunità finanziaria internazionale. Il programma CFA® offre una sfida educativa davvero globale in cui è possibile creare una conoscenza fondamentale dei principi di investimento, rilevante per ogni mercato mondiale. I soci che hanno acquisito la certificazione CFA® incarnano le quattro virtù che sono le caratteristiche distintive di CFA Institute: Etica, Tenacia, Rigore e Analisi. CFA Society Italia offre una gamma di opportunità educative e facilita lo scambio aperto di informazioni e opinioni tra professionisti degli investimenti, grazie ad una serie continua di eventi per i propri membri. I nostri soci hanno la possibilità di entrare in contatto con la comunità finanziaria italiana aumentando il proprio network lavorativo. I membri di CFA Society Italy hanno inoltre la posibilità di partecipare attivamente ad iniziative dell’associazione, che Guida a cura di Con la collaborazione di consentono di fare leva sulle proprie esperienze lavorative. L’iscrizione e il completamento degli esami del programma CFA®, anche se fortemente raccomandati, non sono un requisito per l’adesione e incoraggiamo attivamente i professionisti italiani del settore finanziario a unirsi alla nostra associazione. -
Managing Interest Rate Risk by Managing Duration
VANDERBILT AVENUE ASSET MANAGEMENT Managing Interest Rate Risk by Managing Duration In a perfect world, interest rates would not fluctuate and the value of the bonds in your portfolio would not change over time. Unfortunately, we live in a world where interest rates move up and down…sometimes dramatically…over the course of a bond’s term. This movement can have a meaningful impact on your portfolio, if not taken into account in the day-to-day management of your fixed income assets. One of the ways we help to insulate your portfolio from negative interest rate moves and to take advantage of those that are positive, is to carefully monitor its duration. In what follows, we will examine the concept of duration and its applicability as an interest rate risk management tool. Duration as a risk measure: There is an inverse relationship between the price of a bond and its yield. The yield on a bond is the discount rate that makes the present value of the bond’s cash flows equal to its price. Thus, as the bond’s price declines, its yield increases, a direct reflection of the discount between the bond’s par value and the price investors are willing to pay for it. In a rising interest rate environment investors demand greater yields, which can only be provided by lowering the asking price for the bond. Conversely, in a decreasing interest rate environment, the bond’s fixed rate of return may make it very attractive to investors, causing its price to rise (a reflection of increased demand) and its yield to decline. -
Chapter 10 Bond Prices and Yields Questions and Problems
CHAPTER 10 Bond Prices and Yields Interest rates go up and bond prices go down. But which bonds go up the most and which go up the least? Interest rates go down and bond prices go up. But which bonds go down the most and which go down the least? For bond portfolio managers, these are very important questions about interest rate risk. An understanding of interest rate risk rests on an understanding of the relationship between bond prices and yields In the preceding chapter on interest rates, we introduced the subject of bond yields. As we promised there, we now return to this subject and discuss bond prices and yields in some detail. We first describe how bond yields are determined and how they are interpreted. We then go on to examine what happens to bond prices as yields change. Finally, once we have a good understanding of the relation between bond prices and yields, we examine some of the fundamental tools of bond risk analysis used by fixed-income portfolio managers. 10.1 Bond Basics A bond essentially is a security that offers the investor a series of fixed interest payments during its life, along with a fixed payment of principal when it matures. So long as the bond issuer does not default, the schedule of payments does not change. When originally issued, bonds normally have maturities ranging from 2 years to 30 years, but bonds with maturities of 50 or 100 years also exist. Bonds issued with maturities of less than 10 years are usually called notes. -
Introduction to Repo Markets
Understanding Repo Markets Moorad Choudhry Objectives of the Course g Defining and describing the mechanics of Repo g Understanding market fundamentals and applying knowledge gained to daily work in the repo markets g Introducing trading theory and strategy (c) 2000 The Securities Institute (Services) Ltd 2 Agenda g Introduction and Market Background g Financial Arithmetic g Uses and Economic Functions g Mechanics of Repo g Risks in trading Repo g Legal, Accounting, Tax and Capital g Repo netting g Overseas and Central Bank Repo g Case study - repo trades (c) 2000 The Securities Institute (Services) Ltd 3 Agenda (cont.) g The UK Gilt Repo Market g Trading and Hedging Strategy g Electronic Repo Trading g The Implied Repo Rate and Basis Trading g The Yield Curve TM g Using Bloomberg Screens g Introduction to Equity repo (c) 2000 The Securities Institute (Services) Ltd 4 Introduction (c) 2000 The Securities Institute (Services) Ltd 5 Definition of a Repo g The term “Repo” is from “Sale and Repurchase Agreement” Repo is a money market instrument. There are two usually two parties to a repo transaction. g One party “sells” bonds to the other while simultaneously agreeing to repurchase them or receive them back at a specified future date g One party requires either the cash or the bonds and provides collateral to the other as well as compensation for the temporary use of the desired asset g Although legal title to the collateral is transferred, the seller/lender retains both the economic benefits and the market risk of owning them g If cash -
Bloomberg Integration in Fixed Income
Bloomberg Integration in Fixed Income Bloomberg for Education Seminar July 21, 2017 San Francisco Paul Fjeldsted, CFA Senior Lecturer Jon M. Huntsman School of Business Utah State University Outline Overview • Rationale • Class Overview • Bloomberg Market Concepts • Problem Sets • Bloomberg In-Class Integration • Investing Practicum Integration Rationale Why Bloomberg? Pros Cons • Connection to practice • Cost • Dynamic • Interface • Robust Rationale Configuration • 9 desktop licenses in dedicated lab for students • 3 Bloomberg Anywhere licenses for professors • Bloomberg Anywhere can be launched in any classroom Fixed Income Course Overview FIN 5300 FIXED INCOME • 20-25 students, masters level course • CFA Curriculum integration – Level 1 and Level 2 Fixed Income volumes Fixed Income Course Overview Grading Exams (4 @ 100 each) 400 Problem Sets 50 Investment Activity 30 In-Class Questions 20 Total 500 Bloomberg Market Concepts Bloomberg Market Concepts • Required within first two weeks of semester • Prerequisite to handing in first problem set • Overview – high level • Brings students up to speed on language of finance Bloomberg Problem Sets Bond Valuation Problem Sets – General Approach • Select a bond in Bloomberg • Model its cashflows in excel • Replicate price • Replicate risk measures Bloomberg Problem Sets Example – US Treasury Note Problem Set • In Bloomberg, select US Treasury note or bond with at least 10 years remaining • Pull up the bond in Bloomberg. Assume $1,000,000 face value • Type "YA" for yield analysis. Download this -
Recent Interest Rate Changes, Effective Duration and Effect on Your Portfolio
CMTA Conference Track 2 April 15th, 2015 Recent Interest Rate Changes, Effective Duration and Effect on Your Portfolio Presented by: Jessica Burruss, Director, BondEdge Sales BondEdge is a leading provider of fixed income portfolio analytics to institutional investors with over 30 years expertise working with a client base that includes more than 400 investment managers, banks, insurance companies, state and local government agencies, brokerage firms, depository institutions, and pension funds 1 Agenda Review of recent interest rate movements Specific examples of analytic measures that matter Forward looking simulations -BondEdge best practices 2 6/16/2015 3 6/16/2015 Are shifts parallel ….? Recent Shifts in the US Yield Curve Page 4 CONFIDENTIAL Dynamic Risk Measures - Dynamic risk measures were developed to overcome the limitations inherent in static risk measures - Dynamic risk measures include, but are not limited to: ‣ Option-adjusted spread (OAS) ‣ Option-adjusted duration (OAD) ‣ Option-adjusted convexity (OAC) ‣ Key rate durations (KRD) ‣ Spread Duration - Dynamic risk measures are a “probabilistic” combination of static outcomes March 7-9, 2012 5 Dynamic Risk Measures – Price Sensitivity Effective Duration ‣ Option-adjusted measure of a bond‘s sensitivity to changes in interest rates. Calculated as the average percentage change in a bond's value (price plus accrued interest) under parallel shifts of the Treasury curve. ‣ Incorporates the effect of embedded options for corporate bonds and changes in prepayments for mortgage-backed securities (including pass-throughs, CMOs and ARMs) . For Municipal Variable Rate Demand Notes (VRDNs), Effective Duration is calculated based on cash flows to the next reset date. ‣ BondEdge uses +/- 100 bps, then derives two new spot curves from the shifted par curves. -
Bond Basics October 2007
Bond Basics October 2007 Duration: The Most Common Measure of Bond Risk Duration is the most commonly used measure of risk in bond investing. Duration incorporates a bond's yield, coupon, final maturity and call features into one number, expressed in years, that indicates how price-sensitive a bond or portfolio is to changes in interest rates. There are a number of ways to calculate duration, but the generic term generally refers to effective duration, defined as the approximate percentage change in a security’s price that will result from a 100-basis-point change in its yield. For example, the price of a bond with an effective duration of two years will rise (fall) two percent for every one percent decrease (increase) in its yield, and the price of a five-year duration bond will rise (fall) five percent for a one percent decrease (increase) in its yield. Because interest rates directly affect bond yields, the longer a bond’s duration, the more sensitive its price is to changes in interest rates. Different Duration Measures Other methods of calculating duration are applicable in different situations, and PIMCO has developed two proprietary measures – bull duration and bear duration – which we use to enhance our understanding of how bond portfolios will react in different interest- rate scenarios. • Bear Duration: A proprietary measurement developed by PIMCO, Bear Duration estimates the price change in a security or portfolio in the event of a rapid, 50-basis-point rise in interest rates over the entire yield curve. This tool is designed to measure the effect that mortgages and callable bonds will have on the lengthening (or extension) of the portfolio's duration. -
Fixed Rate Bond Valuation and Risk
Fixed Rate Bond Valuation and Risk FinPricing Fixed Rate Bond Summary ▪ Fixed Rate Bond Introduction ▪ The Use of Fixed Rate Bond ▪ Valuation: Yield-to-Maturity Approach ▪ Valuation: Credit Spread Approach ▪ Practical Guide ▪ A Real World Example Fixed Rate Bond Fixed Rate Bond Introduction ▪ A bond is a debt instrument in which an investor loans money to the issuer for a defined period of time. ▪ The investor will receive coupons paid by the issuer at a predetermined interest rate at specified dates before bond maturity. ▪ The bond principal will be returned at maturity date. ▪ A fixed rate bond is usually a long term paper. ▪ Bonds are usually issued by companies, municipalities, states/provinces and countries to finance a variety of projects and activities. Fixed Rate Bond The Use of Fixed Rate Bond ▪ Fixed rate bonds generally pay higher coupons than interest rates. ▪ An investor who wants to earn a guaranteed interest rate for a specified term can choose fixed rate bonds. ▪ The benefit of a fixed rate bond is that investors know for certain how much interest rate they will earn and for how long. ▪ Due to the fixed coupon, the market value of a fixed rate bond is susceptible to fluctuation in interest rate and therefore has a significant interest rate risk. ▪ The long maturity schedule and fixed coupon rate offers an investor a solidified return. ▪ The real value of a fixed rate bond is also susceptible to inflation rate given its long term Fixed Rate Bond Valuation: Yield-to-Maturity Approach ▪ There are two types of bond valuation approaches in the market: yield-to-maturity approach and credit spread approach. -
Active Fixed Income: a Primer
Active Fixed Income: A Primer ©Madison Investment Advisors, LLC. September 2016. madisonadv.com Active Fixed Income: A Primer Most investors have a basic understanding of equity securities and may even spend a good deal of leisure time reading about stocks and watching equity-focused news shows. Mention bonds and you often get a glazed look. When it comes to fixed income strategy, some investors are familiar with the simplest approach: buying bonds and holding until maturity. Using this strategy, the investor’s return is approximately the average yield of the bonds in the portfolio. However, few have an appreciation of the techniques and potential advantages of active management. This primer looks at active fixed income management and the methods used in the effort to add value. There are two basic ways to add value: generate a total return above what a buy and hold (or yield only) strategy would generate; or reduce volatility from a fixed income portfolio so that more risk can be taken elsewhere in pursuit of greater overall portfolio rewards. Table of Contents Active Bond Management Overview .............................................................. 1 Duration Management ..................................................................................... 3 Active Yield Curve Management .................................................................... 6 Sector and Spread Management .................................................................... 9 Credit Risk Management .............................................................................. -
Fabozzi Course.Pdf
Asset Valuation Debt Investments: Analysis and Valuation Joel M. Shulman, Ph.D, CFA Study Session # 15 – Level I CFA CANDIDATE READINGS: Fixed Income Analysis for the Chartered Financial Analyst Program: Level I and II Readings, Frank J. Fabozzi (Frank J. Fabozzi Associates, 2000) “Introduction to the Valuation of Fixed Income Securities,” Ch. 5 “Yield Measures, Spot Rates, and Forward Rates,” Ch. 6 “Introduction to Measurement of Interest Rate Risk,” Ch. 7 © 2002 Shulman Review/The Princeton Review Fixed Income Valuation 2 Learning Outcome Statements Introduction to the Valuation of Fixed Income Securities Chapter 5, Fabozzi The candidate should be able to a) Describe the fundamental principles of bond valuation; b) Explain the three steps in the valuation process; c) Explain what is meant by a bond’s cash flow; d) Discuss the difficulties of estimating the expected cash flows for some types of bonds and identify the bonds for which estimating the expected cash flows is difficult; e) Compute the value of a bond, given the expected cash flows and the appropriate discount rates; f) Explain how the value of a bond changes if the discount rate increases or decreases and compute the change in value that is attributable to the rate change; g) Explain how the price of a bond changes as the bond approaches its maturity date and compute the change in value that is attributable to the passage of time; h) Compute the value of a zero-coupon bond; i) Compute the dirty price of a bond, accrued interest, and clean price of a bond that is between coupon -
COMMON FACTORS in CORPORATE BOND RETURNS Ronen Israela,C, Diogo Palharesa,D and Scott Richardsonb,E
Journal Of Investment Management, Vol. 16, No. 2, (2018), pp. 17–46 © JOIM 2018 JOIM www.joim.com COMMON FACTORS IN CORPORATE BOND RETURNS Ronen Israela,c, Diogo Palharesa,d and Scott Richardsonb,e We find that four well-known characteristics (carry, defensive, momentum, and value) explain a significant portion of the cross-sectional variation in corporate bond excess returns. These characteristics have positive risk-adjusted expected returns and are not subsumed by traditional market premia or respective equity anomalies. The returns are economically significant, not explained by macroeconomic exposures, and there is some evidence that mispricing plays a role, especially for momentum. 1 Introduction predict returns in other markets, yet researchers have not studied the viability of all these charac- Corporate bonds are an enormous—and grow- teristics to predict returns in credit markets. The ing—source of financing for companies around characteristics are carry, quality, momentum, and the world. As of the first quarter of 2016, there value (Koijen et al., 2014 for carry; Frazzini and was $8.36 trillion of U.S. corporate debt out- Pedersen, 2014 for quality; Asness et al., 2013 for standing, and from 1996 to 2015 corporate bond momentum and value). Our contribution includes issuance grew from $343 billion to $1.49 trillion (i) applying these concepts to credit markets; (ii) (Securities Industry and Financial Markets Asso- studying them together in a way that shines light ciation). Surprisingly little research, however, has on their joint relevance or lack thereof; (iii) eval- investigated the cross-sectional determinants of uating their economic significance by examining corporate bond returns.