The current coupon rate, yield to maturity, and market price for the 10-year US Treasury bond are 2.625%, 3.33% and 94-02 respectively. Note, the price is expressed as a percentage of par (like other bonds) but the number after the dash represents 32nds of a percent. In other words, this bond is selling for 94 plus 2/32nds of a percent of par. If par is $1000, then this bond is selling for $940.625.
a. Assume that this bond will mature in precisely 10 years, pay coupons semi-annually, and has a par value of $1000. Compute the present value of this series of payments to confirm that the yield to maturity is correct to within 0.01%.
b. Compute the duration of this bond and use it to estimate the new value of the bond if rates were to suddenly decline by 0.80%.
c. Calculate the bond's value directly (using the present value approach) assuming that rates declined 0.80% from the yield to maturity reported in Bloomberg.
d. Compare your answers to b. and c. Explain the source of any difference. Which is more correct?© BrainMass Inc. brainmass.com June 4, 2020, 1:39 am ad1c9bdddf
The problem set deals with estimating the price, duration and yield to maturity for bonds.