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Bootstrapping.
Complete problem 31 of Chapter 10 (shown below), and submit to your instructor.
Show your calculations and the algebraic manipulation of the price equation for
the bond. In addition to solving the problem, write a 100 to 200 word essay on
the term structure of fixed income securities.
One method used to obtain an
estimate of the term structure of interest rates is called bootstrapping.
Suppose you have a one-year zero coupon bond with a rate of r1 and a two-year
bond with an annual coupon payment of C. To bootstrap the
two-year rate, you can set up the following equation for the price (P) of the coupon bond:
Because you can observe all of
the variables except r2, the spot rate for
two years, you can solve for this interest rate. Suppose there is a zero coupon
bond with one year to maturity that sells for $949 and a two-year bond with a
7.5 percent coupon paid annually that sells for $1,020. What is the interest
rate for two years? Suppose a bond with three years until maturity and an 8.5
percent annual coupon sells for $1,029. What is the interest rate for three
years?
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