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Chapter 6

Bond Valuation

Book Version 3
By Boundless
Boundless Finance
Finance
by Boundless
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Section 1
The Basics of Interest Rates
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Understanding the Cost of Money

The cost of money is the opportunity cost of holding money instead of investing it, depending on the rate of interest.

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Interest Rate Levels

An interest rate is the rate at which interest is paid by a borrower for the use of money that they borrow from a lender.

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Drivers of Market Interest Rates

Market interest rates are mostly driven by inflationary expectations, alternative investments, risk of investment, and liquidity preference.

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The Term Structure

Term structure of interest rates describes how rates change over time.

Section 2
Additional Detail on Interest Rates
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The Yield Curve

A yield curve shows the relation between interest rate levels (or cost of borrowing) and the time to maturity.

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Using the Yield Curve to Estimate Interest Rates in the Future

Yield curves on bonds and government provided securities are correlative, and are useful in projected future rates.

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Macroeconomic Factors Influencing the Interest Rate

Taylor explained the rule of determining interest rates using three variables: inflation rate, GDP growth, and the real interest rate.

Section 3
Key Characteristics of Bonds
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Par Value

Par value is the amount of money a holder will get back once a bond matures; a bond can be sold at par, at premium, or discount.

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Coupon Interest Rate

The coupon rate is the amount of interest that the bondholder will receive per payment, expressed as a percentage of the par value.

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Maturity Date

Maturity date refers to the final payment date of a loan or other financial instrument.

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Call Provisions

A callable bond allows the issuer to redeem the bond before the maturity date; this is likely to happen when interest rates go down.

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Sinking Funds

A sinking fund is a method by which an organization sets aside money to retire debts.

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Other Features

Other important features of bonds include the yield, market price and putability of a bond.

Section 4
Understanding Bonds
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The Nature of Bonds

A bond is an instrument of indebtedness of the bond issuer to the holders.

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Duration

Duration is the weighted average of the times until fixed cash flows of a financial asset are received.

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Indenture

A bond indenture is a legal contract issued to lenders that defines commitments and responsibilities of the seller and the buyer.

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Ratings

Bond credit rating agencies assess and report the credit worthiness of a corporation's or government's debt issues.

Section 5
Advantages and Disadvantages of Bonds
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Advantages of Bonds

Bonds have some advantages over stocks, including relatively low volatility, high liquidity, legal protection, and a variety of term structures.

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Disadvantages of Bonds

Bonds are subject to risks such as the interest rate risk, prepayment risk, credit risk, reinvestment risk, and liquidity risk.

Section 6
Types of Bonds
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Government Bonds

A government bond is a bond issued by a national government denominated in the country's domestic currency.

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Zero-Coupon Bonds

A zero-coupon bond is a bond with no coupon payments, bought at a price lower than its face value, with the face value repaid at the time of maturity.

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Floating-Rate Bonds

Floating rate bonds are bonds that have a variable coupon equal to a money market reference rate (e.g., LIBOR), plus a quoted spread.

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Other Types of Bonds

Other bonds include register vs. bearer bonds, convertible bonds, exchangeable bonds, asset-backed securities, and foreign currency bonds.

Section 7
Bond Markets
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Purchase Process

Most individuals purchase bonds via a broker or through bond funds.

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Price Transparency

Since bonds are traded in a decentralized, over-the-counter market dominated by dealers, there can be a lack of price transparency.

Section 8
Valuing Bonds
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Present Value of Payments

The value of a bond is obtained by discounting the bond's expected cash flows to the present using an appropriate discount rate.

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Par Value at Maturity

Par value is stated value or face value, with a typical bond making a repayment of par value at maturity.

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Yield to Maturity

Yield to maturity is the discount rate at which the sum of all future cash flows from the bond are equal to the price of the bond.

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Inflation Premium

An inflation premium is the part of prevailing interest rates that results from lenders compensating for expected inflation.

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Differences Between Real and Nominal Rates

Nominal rate refers to the rate before adjustment for inflation; the real rate is the nominal rate minus inflation: r = R - i or, 1+r = (1+r)(1+E(r)).

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Time to Maturity

"Time to maturity" refers to the length of time before the par value of a bond must be returned to the bondholder.

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Calculating Yield to Maturity Using the Bond Price

The yield to maturity is the discount rate that returns the bond's market price: YTM = [(Face value/Bond price)1/Time period]-1.

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Impact of Payment Frequency on Bond Prices

Payment frequency can be annual, semi annual, quarterly, or monthly; the more frequently a bond makes coupon payments, the higher the bond price.

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Deciding to Refund Bonds

Refunding occurs when an entity that has issued callable bonds calls those debt securities to issue new debt at a lower coupon rate.

Section 9
Bond Risk
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Price Risk

Price risk is the risk that the market price of a bond will fall, usually due to a rise in the market interest rate.

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Reinvestment Risk

Reinvestment risk is the risk that a bond is repaid early, and an investor has to find a new place to invest with the risk of lower returns.

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Comparing Price Risk and Reinvestment Risk

Price risk is positively correlated to changes in interest rates, while reinvestment risk is inversely correlated.

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Default Risk

Default risk is the risk that a bond issuer will default on any type of debt by failing to make payments which it is obligated to make.

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Bond Rating System

The credit rating is a financial indicator assigned by credit rating agencies; bond ratings below BBB-/Baa are considered junk bonds.

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Bankruptcy and Bond Value

There is no guarantee of how much money will remain to repay bondholders in a bankruptcy, therefore, the value of the bond is uncertain.

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Boundless Finance by Boundless
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Chapter 5
The Time Value of Money
  • Introduction to the Time Value of Money
  • Future Value, Single Amount
  • Present Value, Single Amount
  • Annuities
  • Valuing Multiple Cash Flows
and 2 more sections...
Current Chapter
Chapter 6
Bond Valuation
  • The Basics of Interest Rates
  • Additional Detail on Interest Rates
  • Key Characteristics of Bonds
  • Understanding Bonds
  • Advantages and Disadvantages of Bonds
and 4 more sections...
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Chapter 7
Stock Valuation
  • Defining Stock
  • Types of Stock
  • Rules and Rights of Common and Preferred Stock
  • Stock Markets
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