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Interest Rates and Bond Valuation
Chapter 8
Copyright © 2010 by the McGraw-Hill Companies, Inc. All rights reserved.
McGraw-Hill/Irwin
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
Understand the impact of inflation on interest rates
Understand the term structure of interest rates and the determinants of bond yields
Chapter Outline
8.1 Bonds and Bond Valuation
8.2 Government and Corporate Bonds
8.3 Bond Markets
8.4 Inflation and Interest Rates
8.5 Determinants of Bond Yields
8.1 Bonds and Bond Valuation
A bond is a legally binding agreement between a borrower and a lender that specifies the:
Par (face) value
Coupon rate
Coupon payment
Maturity Date
The yield to maturity is the required market interest rate on the bond.
Bond Valuation
Primary Principle:
Value of financial securities = PV of expected future cash flows
Bond value is, therefore, determined by the present value of the coupon payments and par value.
Interest rates are inversely related to present (i.e., bond) values.
The Bond-Pricing Equation
Bond Example
Consider a U.S. government bond with as 6 3/8% coupon that expires in December 2013.
The Par Value of the bond is $1,000.
Coupon payments are made semiannually (June 30 and December 31 for this particular bond).
Since the coupon rate is 6 3/8%, the payment is $31.875.
On January 1, 2009 the size and timing of cash flows are:
Bond Example
On January 1, 2009, the required yield is 5%.
The current value is:
Bond Example: Calculator
PMT
I/Y
FV
PV
N
PV
31.875 =
2.5
1,000
– 1,060.17
10
Find the present value (as of January 1, 2009), of a 6 3/8% coupon bond with semi-annual payments, and a maturity date of December 2013 if the YTM is 5%.
Bond Example
Now assume that the required yield is 11%.
How does this change the bond’s price?
YTM and Bond Value
800
1000
1100
1200
1300
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
Discount Rate
Bon
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