Bonds. Describe Bonds. Define Key Words. Created 2007 By Michael Worthington Elizabeth City State University

Size: px
Start display at page:

Download "Bonds. Describe Bonds. Define Key Words. Created 2007 By Michael Worthington Elizabeth City State University"

Transcription

1 Bonds OBJECTIVES Describe bonds Define key words Explain why bond prices fluctuate Compute interest payments Calculate the price of bonds Created 2007 By Michael Worthington Elizabeth City State University Describe Bonds Bonds = debts Buy bonds = lend Issue or sell bonds = borrow money Semiannual (2 per year) interest payments Maturity = end of bond term Face Value paid at maturity to bondholders Define Key Words Face or Par Value or Maturity Value = amount paid to bondholders at end of bond s term Term = number of years until the maturity value (face value or par value) is paid to bondholders Maturity = end of the bond s term Coupon Rate or Nominal Rate = rate used to compute amount of semiannual interest payments Market Rate or Effective Rate = actual rate of interest which determines the price of the bond Discount or Premium = difference between the bond s price and its face value (or par value) 1

2 Describe relationship between bond prices and interest rates Rate Price Bond s price and effective interest rate are inversely related -- when one goes up, the other goes down -- and visa-versa Compute Semiannual Interest Divide annual nominal rate (or coupon rate) by half since payments are made twice a year Payments = face value times ½ nominal rate Nominal rate only used to compute payments Effective rate only used to compute the present value (price) of bond -- NOT payments Semiannual Payments One Year January December 1 st Payment 2 nd Payment Semiannual payments divide year in two parts So divide interest rates into two parts Example: 10% Annual Percentage Rate January December 5% for 6 months 5% for 6 months 2

3 Calculate Interest Payments 8% $10,000 Bond Multiply face value by ½ nominal rate Compute Bond Price of a bond equals: (1) present value of interest payments PLUS (2) present value of the maturity payment (face value paid at end of bond s term) effective interest of 8% Multiply face value by ½ nominal rate $100,000 x (.06 x ½ ) = $3,000 semiannual interest payments for 2 years (4 payments) 3

4 Issue Bond effective rate of 8% 1 st semiannual interest payment TIMELINE 2 nd semiannual interest payment End of 3 rd semiannual one year interest payment 4 th semiannual interest payment End of two years Maturity Payment effective interest rate of 8% January 1, 00 July 1, 00 December 31, 00 July 1, 01 December 31, 01 December 31, 01 Issue Bond $100,000 maturity payment Interest = ordinary annuity interest rate of 8% ½ of the effective rate = 4% semiannually 4 semiannual payments over two years PV of Ordinary Annuity Table N 1% 2% 3% 4% 5%

5 effective interest rate of 8% $3,000 semiannual interest payments times factor off PV of Annuity Table $10,890 Present Value of effective interest rate of 8% The face value is paid to the bondholders when the bond matures (end of term) Since this maturity payment is only paid ONCE, use PV of Sum of $1 Table to compute its Present effective interest of 8% ½ of the effective rate = 4% semiannually 4 semiannual payments over two years N % PV of Sum of $1 2% 3% 4% %

6 effective interest of 8% $100,000 Maturity Value times.855 factor off PV of $1 Table $85,500 Present Value of Maturity Payment effective rate of 8% $10,890 Present Value of Interest Payments Plus $85,500 Present Value of Maturity Payment $96,390 Price (Present Value of Bond) Interest rate ROSE from 6% nominal rate to 8% effective rate, so the price FELL from $100,000 to $96, rates and prices move opposite directions SUMMARY Interest Payments = face value x ½ nominal rate Compute present value using ½ effective rate and twice the term (2 payments per year) Calculate present value of interest payments using PV of Ordinary Annuity Table Calculate present value of maturity value using PV of $1 Table PV of Interest Payments + PV of Maturity Value equals the bond price Bond prices and interest rates move in opposite directions -- when rates go up, prices go down, and visa versa 6

Click Here to Buy the Tutorial

Click Here to Buy the Tutorial FIN 534 Week 4 Quiz 3 (Str) Click Here to Buy the Tutorial http://www.tutorialoutlet.com/fin-534/fin-534-week-4-quiz-3- str/ For more course tutorials visit www.tutorialoutlet.com Which of the following

More information

Mathematics. Rosella Castellano. Rome, University of Tor Vergata

Mathematics. Rosella Castellano. Rome, University of Tor Vergata and Loans Mathematics Rome, University of Tor Vergata and Loans Future Value for Simple Interest Present Value for Simple Interest You deposit E. 1,000, called the principal or present value, into a savings

More information

Maturity The date where the issuer must return the principal or the face value to the investor.

Maturity The date where the issuer must return the principal or the face value to the investor. PRODUCT INFORMATION SHEET - BONDS 1. WHAT ARE BONDS? A bond is a debt instrument issued by a borrowing entity (issuer) to investors (lenders) in return for lending their money to the issuer. The issuer

More information

Lesson 6 Save and Invest: Bonds Lending Your Money

Lesson 6 Save and Invest: Bonds Lending Your Money Lesson 6 Save and Invest: Bonds Lending Your Money Lesson Description This lesson introduces bonds as an investment option. Using a series of classroom visuals, students will identify the three main parts

More information

Prepared by: Dalia A. Marafi Version 2.0

Prepared by: Dalia A. Marafi Version 2.0 Kuwait University College of Business Administration Department of Finance and Financial Institutions Using )Casio FC-200V( for Fundamentals of Financial Management (220) Prepared by: Dalia A. Marafi Version

More information

Interest Rates and Bond Valuation

Interest Rates and Bond Valuation and Bond Valuation 1 Bonds Debt Instrument Bondholders are lending the corporation money for some stated period of time. Liquid Asset Corporate Bonds can be traded in the secondary market. Price at which

More information

Bond valuation. Present value of a bond = present value of interest payments + present value of maturity value

Bond valuation. Present value of a bond = present value of interest payments + present value of maturity value Bond valuation A reading prepared by Pamela Peterson Drake O U T L I N E 1. Valuation of long-term debt securities 2. Issues 3. Summary 1. Valuation of long-term debt securities Debt securities are obligations

More information

Fin 3312 Sample Exam 1 Questions

Fin 3312 Sample Exam 1 Questions Fin 3312 Sample Exam 1 Questions Here are some representative type questions. This review is intended to give you an idea of the types of questions that may appear on the exam, and how the questions might

More information

TIME VALUE OF MONEY #6: TREASURY BOND. Professor Peter Harris Mathematics by Dr. Sharon Petrushka. Introduction

TIME VALUE OF MONEY #6: TREASURY BOND. Professor Peter Harris Mathematics by Dr. Sharon Petrushka. Introduction TIME VALUE OF MONEY #6: TREASURY BOND Professor Peter Harris Mathematics by Dr. Sharon Petrushka Introduction This problem assumes that you have mastered problems 1-5, which are prerequisites. In this

More information

You just paid $350,000 for a policy that will pay you and your heirs $12,000 a year forever. What rate of return are you earning on this policy?

You just paid $350,000 for a policy that will pay you and your heirs $12,000 a year forever. What rate of return are you earning on this policy? 1 You estimate that you will have $24,500 in student loans by the time you graduate. The interest rate is 6.5%. If you want to have this debt paid in full within five years, how much must you pay each

More information

BOND - Security that obligates the issuer to make specified payments to the bondholder.

BOND - Security that obligates the issuer to make specified payments to the bondholder. Bond Valuation BOND - Security that obligates the issuer to make specified payments to the bondholder. COUPON - The interest payments paid to the bondholder. FACE VALUE - Payment at the maturity of the

More information

CHAPTER 14: BOND PRICES AND YIELDS

CHAPTER 14: BOND PRICES AND YIELDS CHAPTER 14: BOND PRICES AND YIELDS PROBLEM SETS 1. The bond callable at 105 should sell at a lower price because the call provision is more valuable to the firm. Therefore, its yield to maturity should

More information

2 The Mathematics. of Finance. Copyright Cengage Learning. All rights reserved.

2 The Mathematics. of Finance. Copyright Cengage Learning. All rights reserved. 2 The Mathematics of Finance Copyright Cengage Learning. All rights reserved. 2.3 Annuities, Loans, and Bonds Copyright Cengage Learning. All rights reserved. Annuities, Loans, and Bonds A typical defined-contribution

More information

Chapter 5: Valuing Bonds

Chapter 5: Valuing Bonds FIN 302 Class Notes Chapter 5: Valuing Bonds What is a bond? A long-term debt instrument A contract where a borrower agrees to make interest and principal payments on specific dates Corporate Bond Quotations

More information

Module 1: Corporate Finance and the Role of Venture Capital Financing TABLE OF CONTENTS

Module 1: Corporate Finance and the Role of Venture Capital Financing TABLE OF CONTENTS 1.0 ALTERNATIVE SOURCES OF FINANCE Module 1: Corporate Finance and the Role of Venture Capital Financing Alternative Sources of Finance TABLE OF CONTENTS 1.1 Short-Term Debt (Short-Term Loans, Line of

More information

Dick Schwanke Finite Math 111 Harford Community College Fall 2013

Dick Schwanke Finite Math 111 Harford Community College Fall 2013 Annuities and Amortization Finite Mathematics 111 Dick Schwanke Session #3 1 In the Previous Two Sessions Calculating Simple Interest Finding the Amount Owed Computing Discounted Loans Quick Review of

More information

CHAPTER 8 INTEREST RATES AND BOND VALUATION

CHAPTER 8 INTEREST RATES AND BOND VALUATION CHAPTER 8 INTEREST RATES AND BOND VALUATION Answers to Concept Questions 1. No. As interest rates fluctuate, the value of a Treasury security will fluctuate. Long-term Treasury securities have substantial

More information

Chapter 9 Bonds and Their Valuation ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS

Chapter 9 Bonds and Their Valuation ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS Chapter 9 Bonds and Their Valuation ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS 9-1 a. A bond is a promissory note issued by a business or a governmental unit. Treasury bonds, sometimes referred to as

More information

FNCE 301, Financial Management H Guy Williams, 2006

FNCE 301, Financial Management H Guy Williams, 2006 REVIEW We ve used the DCF method to find present value. We also know shortcut methods to solve these problems such as perpetuity present value = C/r. These tools allow us to value any cash flow including

More information

Chapter 4: Time Value of Money

Chapter 4: Time Value of Money FIN 301 Homework Solution Ch4 Chapter 4: Time Value of Money 1. a. 10,000/(1.10) 10 = 3,855.43 b. 10,000/(1.10) 20 = 1,486.44 c. 10,000/(1.05) 10 = 6,139.13 d. 10,000/(1.05) 20 = 3,768.89 2. a. $100 (1.10)

More information

CHAPTER 7 INTEREST RATES AND BOND VALUATION

CHAPTER 7 INTEREST RATES AND BOND VALUATION CHAPTER 7 INTEREST RATES AND BOND VALUATION Answers to Concepts Review and Critical Thinking Questions 1. No. As interest rates fluctuate, the value of a Treasury security will fluctuate. Long-term Treasury

More information

Econ 330 Exam 1 Name ID Section Number

Econ 330 Exam 1 Name ID Section Number Econ 330 Exam 1 Name ID Section Number MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If during the past decade the average rate of monetary growth

More information

Chapter 6. Discounted Cash Flow Valuation. Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Answer 6.1

Chapter 6. Discounted Cash Flow Valuation. Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Answer 6.1 Chapter 6 Key Concepts and Skills Be able to compute: the future value of multiple cash flows the present value of multiple cash flows the future and present value of annuities Discounted Cash Flow Valuation

More information

ANALYSIS OF FIXED INCOME SECURITIES

ANALYSIS OF FIXED INCOME SECURITIES ANALYSIS OF FIXED INCOME SECURITIES Valuation of Fixed Income Securities Page 1 VALUATION Valuation is the process of determining the fair value of a financial asset. The fair value of an asset is its

More information

TIME VALUE OF MONEY (TVM)

TIME VALUE OF MONEY (TVM) TIME VALUE OF MONEY (TVM) INTEREST Rate of Return When we know the Present Value (amount today), Future Value (amount to which the investment will grow), and Number of Periods, we can calculate the rate

More information

Interest Rates and Bond Valuation

Interest Rates and Bond Valuation Interest Rates and Bond Valuation Chapter 6 Key Concepts and Skills Know the important bond features and bond types Understand bond values and why they fluctuate Understand bond ratings and what they mean

More information

Dick Schwanke Finite Math 111 Harford Community College Fall 2013

Dick Schwanke Finite Math 111 Harford Community College Fall 2013 Annuities and Amortization Finite Mathematics 111 Dick Schwanke Session #3 1 In the Previous Two Sessions Calculating Simple Interest Finding the Amount Owed Computing Discounted Loans Quick Review of

More information

Exercise 1 for Time Value of Money

Exercise 1 for Time Value of Money Exercise 1 for Time Value of Money MULTIPLE CHOICE 1. Which of the following statements is CORRECT? a. A time line is not meaningful unless all cash flows occur annually. b. Time lines are useful for visualizing

More information

TIME VALUE OF MONEY PROBLEM #5: ZERO COUPON BOND

TIME VALUE OF MONEY PROBLEM #5: ZERO COUPON BOND TIME VALUE OF MONEY PROBLEM #5: ZERO COUPON BOND Professor Peter Harris Mathematics by Dr. Sharon Petrushka Introduction This assignment will focus on using the TI - 83 to calculate the price of a Zero

More information

Chapter 4 Bonds and Their Valuation ANSWERS TO END-OF-CHAPTER QUESTIONS

Chapter 4 Bonds and Their Valuation ANSWERS TO END-OF-CHAPTER QUESTIONS Chapter 4 Bonds and Their Valuation ANSWERS TO END-OF-CHAPTER QUESTIONS 4-1 a. A bond is a promissory note issued by a business or a governmental unit. Treasury bonds, sometimes referred to as government

More information

FINANCIAL MATHEMATICS FIXED INCOME

FINANCIAL MATHEMATICS FIXED INCOME FINANCIAL MATHEMATICS FIXED INCOME 1. Converting from Money Market Basis to Bond Basis and vice versa 2 2. Calculating the Effective Interest Rate (Non-annual Payments)... 4 3. Conversion of Annual into

More information

CHAPTER 14: BOND PRICES AND YIELDS

CHAPTER 14: BOND PRICES AND YIELDS CHAPTER 14: BOND PRICES AND YIELDS 1. a. Effective annual rate on 3-month T-bill: ( 100,000 97,645 )4 1 = 1.02412 4 1 =.10 or 10% b. Effective annual interest rate on coupon bond paying 5% semiannually:

More information

Manual for SOA Exam FM/CAS Exam 2.

Manual for SOA Exam FM/CAS Exam 2. Manual for SOA Exam FM/CAS Exam 2. Chapter 5. Bonds. c 2009. Miguel A. Arcones. All rights reserved. Extract from: Arcones Manual for the SOA Exam FM/CAS Exam 2, Financial Mathematics. Fall 2009 Edition,

More information

ECO 4368 Instructor: Saltuk Ozerturk. Bonds and Their Valuation

ECO 4368 Instructor: Saltuk Ozerturk. Bonds and Their Valuation ECO 4368 Instructor: Saltuk Ozerturk Bonds and Their Valuation A bond is a long term contract under which a borrower (the issuer) agrees to make payments of interest and principal on speci c dates, to

More information

Chapter 8. Step 2: Find prices of the bonds today: n i PV FV PMT Result Coupon = 4% 29.5 5? 100 4 84.74 Zero coupon 29.5 5? 100 0 23.

Chapter 8. Step 2: Find prices of the bonds today: n i PV FV PMT Result Coupon = 4% 29.5 5? 100 4 84.74 Zero coupon 29.5 5? 100 0 23. Chapter 8 Bond Valuation with a Flat Term Structure 1. Suppose you want to know the price of a 10-year 7% coupon Treasury bond that pays interest annually. a. You have been told that the yield to maturity

More information

Bond Valuation. What is a bond?

Bond Valuation. What is a bond? Lecture: III 1 What is a bond? Bond Valuation When a corporation wishes to borrow money from the public on a long-term basis, it usually does so by issuing or selling debt securities called bonds. A bond

More information

A) 1.8% B) 1.9% C) 2.0% D) 2.1% E) 2.2%

A) 1.8% B) 1.9% C) 2.0% D) 2.1% E) 2.2% 1 Exam FM Questions Practice Exam 1 1. Consider the following yield curve: Year Spot Rate 1 5.5% 2 5.0% 3 5.0% 4 4.5% 5 4.0% Find the four year forward rate. A) 1.8% B) 1.9% C) 2.0% D) 2.1% E) 2.2% 2.

More information

Answers to Review Questions

Answers to Review Questions 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

More information

PRESENT DISCOUNTED VALUE

PRESENT DISCOUNTED VALUE THE BOND MARKET Bond a fixed (nominal) income asset which has a: -face value (stated value of the bond) - coupon interest rate (stated interest rate) - maturity date (length of time for fixed income payments)

More information

Financial Markets and Valuation - Tutorial 1: SOLUTIONS. Present and Future Values, Annuities and Perpetuities

Financial Markets and Valuation - Tutorial 1: SOLUTIONS. Present and Future Values, Annuities and Perpetuities Financial Markets and Valuation - Tutorial 1: SOLUTIONS Present and Future Values, Annuities and Perpetuities (*) denotes those problems to be covered in detail during the tutorial session (*) Problem

More information

Bond Market Overview and Bond Pricing

Bond Market Overview and Bond Pricing Bond Market Overview and Bond Pricing. Overview of Bond Market 2. Basics of Bond Pricing 3. Complications 4. Pricing Floater and Inverse Floater 5. Pricing Quotes and Accrued Interest What is A Bond? Bond:

More information

Chapter 16. Debentures: An Introduction. Non-current Liabilities. Horngren, Best, Fraser, Willett: Accounting 6e 2010 Pearson Australia.

Chapter 16. Debentures: An Introduction. Non-current Liabilities. Horngren, Best, Fraser, Willett: Accounting 6e 2010 Pearson Australia. PowerPoint to accompany Non-current Liabilities Chapter 16 Learning Objectives 1. Account for debentures payable transactions 2. Measure interest expense by the straight line interest method 3. Account

More information

Discounted Cash Flow Valuation

Discounted Cash Flow Valuation 6 Formulas Discounted Cash Flow Valuation McGraw-Hill/Irwin Copyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter Outline Future and Present Values of Multiple Cash Flows Valuing

More information

3. If an individual investor buys or sells a currently owned stock through a broker, this is a primary market transaction.

3. If an individual investor buys or sells a currently owned stock through a broker, this is a primary market transaction. Spring 2012 Finance 3130 Sample Exam 1A Questions for Review 1. The form of organization for a business is an important issue, as this decision has very significant effect on the income and wealth of the

More information

CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES

CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES 1. Expectations hypothesis. The yields on long-term bonds are geometric averages of present and expected future short rates. An upward sloping curve is

More information

Time Value of Money Concepts

Time Value of Money Concepts BASIC ANNUITIES There are many accounting transactions that require the payment of a specific amount each period. A payment for a auto loan or a mortgage payment are examples of this type of transaction.

More information

Present Value (PV) Tutorial

Present Value (PV) Tutorial EYK 15-1 Present Value (PV) Tutorial The concepts of present value are described and applied in Chapter 15. This supplement provides added explanations, illustrations, calculations, present value tables,

More information

FINC 3630: Advanced Business Finance Additional Practice Problems

FINC 3630: Advanced Business Finance Additional Practice Problems FINC 3630: Advanced Business Finance Additional Practice Problems Accounting For Financial Management 1. Calculate free cash flow for Home Depot for the fiscal year-ended February 1, 2015 (the 2014 fiscal

More information

Appendix C- 1. Time Value of Money. Appendix C- 2. Financial Accounting, Fifth Edition

Appendix C- 1. Time Value of Money. Appendix C- 2. Financial Accounting, Fifth Edition C- 1 Time Value of Money C- 2 Financial Accounting, Fifth Edition Study Objectives 1. Distinguish between simple and compound interest. 2. Solve for future value of a single amount. 3. Solve for future

More information

Bond Valuation. Chapter 7. Example (coupon rate = r d ) Bonds, Bond Valuation, and Interest Rates. Valuing the cash flows

Bond Valuation. Chapter 7. Example (coupon rate = r d ) Bonds, Bond Valuation, and Interest Rates. Valuing the cash flows Bond Valuation Chapter 7 Bonds, Bond Valuation, and Interest Rates Valuing the cash flows (1) coupon payment (interest payment) = (coupon rate * principal) usually paid every 6 months (2) maturity value

More information

Name: Show critical work and then circle the answer you get.

Name: Show critical work and then circle the answer you get. Math 418B Worksheet 3 Callable Bonds ame: Show critical work and then circle the answer you get. In everyday business and financial usage there are three different yield associated with a bond: 1. ominal

More information

Coupon Bonds and Zeroes

Coupon Bonds and Zeroes Coupon Bonds and Zeroes Concepts and Buzzwords Coupon bonds Zero-coupon bonds Bond replication No-arbitrage price relationships Zero rates Zeroes STRIPS Dedication Implied zeroes Semi-annual compounding

More information

Math Workshop Algebra (Time Value of Money; TVM)

Math Workshop Algebra (Time Value of Money; TVM) Math Workshop Algebra (Time Value of Money; TVM) FV 1 = PV+INT 1 = PV+PV*I = PV(1+I) = $100(1+10%) = $110.00 FV 2 = FV 1 (1+I) = PV(1+I)(1+I) = PV(1+I) 2 =$100(1.10) 2 = $121.00 FV 3 = FV 2 (1+I) = PV(1

More information

The Time Value of Money (contd.)

The Time Value of Money (contd.) The Time Value of Money (contd.) February 11, 2004 Time Value Equivalence Factors (Discrete compounding, discrete payments) Factor Name Factor Notation Formula Cash Flow Diagram Future worth factor (compound

More information

SOCIETY OF ACTUARIES FINANCIAL MATHEMATICS EXAM FM SAMPLE QUESTIONS

SOCIETY OF ACTUARIES FINANCIAL MATHEMATICS EXAM FM SAMPLE QUESTIONS SOCIETY OF ACTUARIES EXAM FM FINANCIAL MATHEMATICS EXAM FM SAMPLE QUESTIONS This page indicates changes made to Study Note FM-09-05. April 28, 2014: Question and solutions 61 were added. January 14, 2014:

More information

CHAPTER 10. Bond Prices and Yields

CHAPTER 10. Bond Prices and Yields 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

More information

TVM Applications Chapter

TVM Applications Chapter Chapter 6 Time of Money UPS, Walgreens, Costco, American Air, Dreamworks Intel (note 10 page 28) TVM Applications Accounting issue Chapter Notes receivable (long-term receivables) 7 Long-term assets 10

More information

Sample Problems Chapter 10

Sample Problems Chapter 10 Sample Problems Chapter 10 Title: Cost of Debt 1. Costly Corporation plans a new issue of bonds with a par value of $1,000, a maturity of 28 years, and an annual coupon rate of 16.0%. Flotation costs associated

More information

CALCULATOR TUTORIAL. Because most students that use Understanding Healthcare Financial Management will be conducting time

CALCULATOR TUTORIAL. Because most students that use Understanding Healthcare Financial Management will be conducting time CALCULATOR TUTORIAL INTRODUCTION Because most students that use Understanding Healthcare Financial Management will be conducting time value analyses on spreadsheets, most of the text discussion focuses

More information

Residential Mortgage Finance. Early American Mortgages. Early Mortgage Lenders

Residential Mortgage Finance. Early American Mortgages. Early Mortgage Lenders Residential Mortgage Finance Early American Mortgages Mortgages before the Great Depression Generally were interest only (non- amortizing) loans Had Loan to Value Ratios under 50 % Were short term loans

More information

Time Value of Money Dallas Brozik, Marshall University

Time Value of Money Dallas Brozik, Marshall University Time Value of Money Dallas Brozik, Marshall University There are few times in any discipline when one topic is so important that it is absolutely fundamental in the understanding of the discipline. The

More information

Finding the Payment $20,000 = C[1 1 / 1.0066667 48 ] /.0066667 C = $488.26

Finding the Payment $20,000 = C[1 1 / 1.0066667 48 ] /.0066667 C = $488.26 Quick Quiz: Part 2 You know the payment amount for a loan and you want to know how much was borrowed. Do you compute a present value or a future value? You want to receive $5,000 per month in retirement.

More information

http://spreadsheetml.com/finance/bondvaluationyieldtomaturity.shtml

http://spreadsheetml.com/finance/bondvaluationyieldtomaturity.shtml Financial Modeling Templates http://spreadsheetml.com/finance/bondvaluationyieldtomaturity.shtml Copyright (c) 2009-2014, ConnectCode All Rights Reserved. ConnectCode accepts no responsibility for any

More information

Learning Objectives. Learning Objectives. Learning Objectives. Principles Used in this Chapter. Simple Interest. Principle 2:

Learning Objectives. Learning Objectives. Learning Objectives. Principles Used in this Chapter. Simple Interest. Principle 2: Learning Objectives Chapter 5 The Time Value of Money Explain the mechanics of compounding, which is how money grows over a time when it is invested. Be able to move money through time using time value

More information

Tax rules for bond investors

Tax rules for bond investors Tax rules for bond investors Understand the treatment of different bonds Paying taxes is an inevitable part of investing for most bondholders, and understanding the tax rules, and procedures can be difficult

More information

5. Time value of money

5. Time value of money 1 Simple interest 2 5. Time value of money With simple interest, the amount earned each period is always the same: i = rp o We will review some tools for discounting cash flows. where i = interest earned

More information

Chapter 6 Interest Rates and Bond Valuation

Chapter 6 Interest Rates and Bond Valuation Chapter 6 Interest Rates and Bond Valuation Solutions to Problems P6-1. P6-2. LG 1: Interest Rate Fundamentals: The Real Rate of Return Basic Real rate of return = 5.5% 2.0% = 3.5% LG 1: Real Rate of Interest

More information

Beginner s Guide to Bonds

Beginner s Guide to Bonds Beginner s Guide to Bonds Chapter 1.1-1.4 www.trader.ge Bonds Chapter 1.1 / A Basic Description Welcome to this first chapter on Bonds which will give a brief introduction to the history of bonds and explain

More information

CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES

CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES Chapter - The Term Structure of Interest Rates CHAPTER : THE TERM STRUCTURE OF INTEREST RATES PROBLEM SETS.. In general, the forward rate can be viewed as the sum of the market s expectation of the future

More information

NATIONAL STOCK EXCHANGE OF INDIA LIMITED

NATIONAL STOCK EXCHANGE OF INDIA LIMITED NATIONAL STOCK EXCHANGE OF INDIA LIMITED Capital Market FAQ on Corporate Bond Date : September 29, 2011 1. What are securities? Securities are financial instruments that represent a creditor relationship

More information

CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES

CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES CHAPTER : THE TERM STRUCTURE OF INTEREST RATES CHAPTER : THE TERM STRUCTURE OF INTEREST RATES PROBLEM SETS.. In general, the forward rate can be viewed as the sum of the market s expectation of the future

More information

FIN 472 Fixed-Income Securities Debt Instruments

FIN 472 Fixed-Income Securities Debt Instruments FIN 472 Fixed-Income Securities Debt Instruments Professor Robert B.H. Hauswald Kogod School of Business, AU The Most Famous Bond? Bond finance raises the most money fixed income instruments types of bonds

More information

CHAPTER 5 INTRODUCTION TO VALUATION: THE TIME VALUE OF MONEY

CHAPTER 5 INTRODUCTION TO VALUATION: THE TIME VALUE OF MONEY CHAPTER 5 INTRODUCTION TO VALUATION: THE TIME VALUE OF MONEY Answers to Concepts Review and Critical Thinking Questions 1. The four parts are the present value (PV), the future value (FV), the discount

More information

Appendix. Time Value of Money. Financial Accounting, IFRS Edition Weygandt Kimmel Kieso. Appendix C- 1

Appendix. Time Value of Money. Financial Accounting, IFRS Edition Weygandt Kimmel Kieso. Appendix C- 1 C Time Value of Money C- 1 Financial Accounting, IFRS Edition Weygandt Kimmel Kieso C- 2 Study Objectives 1. Distinguish between simple and compound interest. 2. Solve for future value of a single amount.

More information

1. Present Value. 2. Bonds. 3. Stocks

1. Present Value. 2. Bonds. 3. Stocks Stocks and Bonds 1. Present Value 2. Bonds 3. Stocks 1 Present Value = today s value of income at a future date Income at one future date value today of X dollars in one year V t = X t+1 (1 + i t ) where

More information

Topics in Chapter. Key features of bonds Bond valuation Measuring yield Assessing risk

Topics in Chapter. Key features of bonds Bond valuation Measuring yield Assessing risk Bond Valuation 1 Topics in Chapter Key features of bonds Bond valuation Measuring yield Assessing risk 2 Determinants of Intrinsic Value: The Cost of Debt Net operating profit after taxes Free cash flow

More information

CHAPTER 8 INTEREST RATES AND BOND VALUATION

CHAPTER 8 INTEREST RATES AND BOND VALUATION CHAPTER 8 INTEREST RATES AND BOND VALUATION Solutions to Questions and Problems 1. The price of a pure discount (zero coupon) bond is the present value of the par value. Remember, even though there are

More information

Present Value Concepts

Present Value Concepts Present Value Concepts Present value concepts are widely used by accountants in the preparation of financial statements. In fact, under International Financial Reporting Standards (IFRS), these concepts

More information

Final Exam Practice Set and Solutions

Final Exam Practice Set and Solutions FIN-469 Investments Analysis Professor Michel A. Robe Final Exam Practice Set and Solutions What to do with this practice set? To help students prepare for the final exam, three practice sets with solutions

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ECON 4110: Sample Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Economists define risk as A) the difference between the return on common

More information

Chapter 5 Time Value of Money 2: Analyzing Annuity Cash Flows

Chapter 5 Time Value of Money 2: Analyzing Annuity Cash Flows 1. Future Value of Multiple Cash Flows 2. Future Value of an Annuity 3. Present Value of an Annuity 4. Perpetuities 5. Other Compounding Periods 6. Effective Annual Rates (EAR) 7. Amortized Loans Chapter

More information

Bonds are IOUs. Just like shares you can buy bonds on the world s stock exchanges.

Bonds are IOUs. Just like shares you can buy bonds on the world s stock exchanges. Investing in bonds Despite their names, ShareScope and SharePad are not just all about shares. They can help you with other investments as well. In this article I m going to tell you how you can use the

More information

Time-Value-of-Money and Amortization Worksheets

Time-Value-of-Money and Amortization Worksheets 2 Time-Value-of-Money and Amortization Worksheets The Time-Value-of-Money and Amortization worksheets are useful in applications where the cash flows are equal, evenly spaced, and either all inflows or

More information

Topics Covered. Ch. 4 - The Time Value of Money. The Time Value of Money Compounding and Discounting Single Sums

Topics Covered. Ch. 4 - The Time Value of Money. The Time Value of Money Compounding and Discounting Single Sums Ch. 4 - The Time Value of Money Topics Covered Future Values Present Values Multiple Cash Flows Perpetuities and Annuities Effective Annual Interest Rate For now, we will omit the section 4.5 on inflation

More information

Bonds. Accounting for Long-Term Debt. Agenda Long-Term Debt. 15.501/516 Accounting Spring 2004

Bonds. Accounting for Long-Term Debt. Agenda Long-Term Debt. 15.501/516 Accounting Spring 2004 Accounting for Long-Term Debt 15.501/516 Accounting Spring 2004 Professor S. Roychowdhury Sloan School of Management Massachusetts Institute of Technology April 5, 2004 1 Agenda Long-Term Debt Extend our

More information

Chapter 11. Bond Pricing - 1. Bond Valuation: Part I. Several Assumptions: To simplify the analysis, we make the following assumptions.

Chapter 11. Bond Pricing - 1. Bond Valuation: Part I. Several Assumptions: To simplify the analysis, we make the following assumptions. Bond Pricing - 1 Chapter 11 Several Assumptions: To simplify the analysis, we make the following assumptions. 1. The coupon payments are made every six months. 2. The next coupon payment for the bond is

More information

Chapter 6. Learning Objectives Principles Used in This Chapter 1. Annuities 2. Perpetuities 3. Complex Cash Flow Streams

Chapter 6. Learning Objectives Principles Used in This Chapter 1. Annuities 2. Perpetuities 3. Complex Cash Flow Streams Chapter 6 Learning Objectives Principles Used in This Chapter 1. Annuities 2. Perpetuities 3. Complex Cash Flow Streams 1. Distinguish between an ordinary annuity and an annuity due, and calculate present

More information

Practice Set #2 and Solutions.

Practice Set #2 and Solutions. FIN-672 Securities Analysis & Portfolio Management Professor Michel A. Robe Practice Set #2 and Solutions. What to do with this practice set? To help MBA students prepare for the assignment and the exams,

More information

Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Chapter Outline. Multiple Cash Flows Example 2 Continued

Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Chapter Outline. Multiple Cash Flows Example 2 Continued 6 Calculators Discounted Cash Flow Valuation Key Concepts and Skills Be able to compute the future value of multiple cash flows Be able to compute the present value of multiple cash flows Be able to compute

More information

Yield to Maturity Outline and Suggested Reading

Yield to Maturity Outline and Suggested Reading Yield to Maturity Outline Outline and Suggested Reading Yield to maturity on bonds Coupon effects Par rates Buzzwords Internal rate of return, Yield curve Term structure of interest rates Suggested reading

More information

The Concept of Present Value

The Concept of Present Value The Concept of Present Value If you could have $100 today or $100 next week which would you choose? Of course you would choose the $100 today. Why? Hopefully you said because you could invest it and make

More information

Loan types and business terms Business customers

Loan types and business terms Business customers Loan types and business terms Business customers Applicable as from 7. November 2015 Page 1 of 38 Welcome to Realkredit Danmark We want to provide you with all the information you need to decide on how

More information

The explanations below will make it easier for you to use the calculator. The ON/OFF key is used to turn the calculator on and off.

The explanations below will make it easier for you to use the calculator. The ON/OFF key is used to turn the calculator on and off. USER GUIDE Texas Instrument BA II Plus Calculator April 2007 GENERAL INFORMATION The Texas Instrument BA II Plus financial calculator was designed to support the many possible applications in the areas

More information

In October 1997, Hewlett-Packard issued zero coupon bonds with a face value of $1.8 million, due in 2017, for proceeds of $968 million.

In October 1997, Hewlett-Packard issued zero coupon bonds with a face value of $1.8 million, due in 2017, for proceeds of $968 million. BE11-2 In October 1997, Hewlett-Packard issued zero coupon bonds with a face value of $1.8 million, due in 2017, for proceeds of $968 million. (a) What is the life of these bonds? The life of the bonds

More information

Understanding duration and convexity of fixed income securities. Vinod Kothari

Understanding duration and convexity of fixed income securities. Vinod Kothari Understanding duration and convexity of fixed income securities Vinod Kothari Notation y : yield p: price of the bond T: total maturity of the bond t: any given time during T C t : D m : Cashflow from

More information

Index. 1. Financial Markets: Overview. 2. The Bond Market. 3. Risks Associated with Fixed Income Investments. 4. Bond Characteristics and Valuation

Index. 1. Financial Markets: Overview. 2. The Bond Market. 3. Risks Associated with Fixed Income Investments. 4. Bond Characteristics and Valuation Index 1. Financial Markets: Overview 2. The Bond Market 3. Risks Associated with Fixed Income Investments 4. Bond Characteristics and Valuation 5. Macro Environment Chapter 24 Bond Characteristics and

More information

Basic Financial Tools: A Review. 3 n 1 n. PV FV 1 FV 2 FV 3 FV n 1 FV n 1 (1 i)

Basic Financial Tools: A Review. 3 n 1 n. PV FV 1 FV 2 FV 3 FV n 1 FV n 1 (1 i) Chapter 28 Basic Financial Tools: A Review The building blocks of finance include the time value of money, risk and its relationship with rates of return, and stock and bond valuation models. These topics

More information

Exercise 6 8. Exercise 6 12 PVA = $5,000 x 4.35526* = $21,776

Exercise 6 8. Exercise 6 12 PVA = $5,000 x 4.35526* = $21,776 CHAPTER 6: EXERCISES Exercise 6 2 1. FV = $10,000 (2.65330 * ) = $26,533 * Future value of $1: n = 20, i = 5% (from Table 1) 2. FV = $10,000 (1.80611 * ) = $18,061 * Future value of $1: n = 20, i = 3%

More information

CHAPTER 5 INTRODUCTION TO VALUATION: THE TIME VALUE OF MONEY

CHAPTER 5 INTRODUCTION TO VALUATION: THE TIME VALUE OF MONEY CHAPTER 5 INTRODUCTION TO VALUATION: THE TIME VALUE OF MONEY 1. The simple interest per year is: $5,000.08 = $400 So after 10 years you will have: $400 10 = $4,000 in interest. The total balance will be

More information