One year ago, XYZ Co. issued 15-year bonds at par. The bonds have a coupon rate of 4.81 percent, paid semiannually, and a face value of $1,000. Today, the market yield on these bonds is 4.27 percent. What is the percentage change in the bond price over the past year?
Answer to two decimals.
Computation Of Bond Price | ||
a | Semi-annual Interest Amount | $ 24.05 |
($1000*4.81%/2) | ||
b | PV Annuity Factor for (28 Years,2.135%) | 20.913721 |
c | Present Value Of Annual Interest (a*b) | $ 502.97 |
d | Redemption Value | $ 1,000.00 |
e | PV Factor Of (28 Years,2.135%) | 0.55349 |
g | Present Value Of Redemption Amount (d*e) | $ 553.49 |
f | Price Of The Bond (c+g) | $ 1,056.47 |
Percentage change in bond price = ($1056.47-1000)/1000 | ||
=5.65% | ||
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