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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
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: P=1+r1c1+(1+r2)2c2+Parvalue 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 coupon of 7.5 percent 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 annual coupon of 8.5 percent sells for $1,029. What is the interest rate for three years? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
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