Question

A $1,000 six-year bond has an 8 percent coupon, is selling at par, and contracts to make annual payments of interest. The duration of this bond is 4.99 years. What will be the new price if interest rates increase to 8.5 percent

Answer 1

Answer:

$976.90 will be the new price if interest rates increase to 8.5 percent.

Explanation:

YTM = 8%

Change in interest rate = (8.5% - 8%) = 0.5%  (Increase of 0.5% )

%Change In Price of Bond = -Duration/(1+YTM) X Change in Rate

                                            = -4.99/(1+0.08) X 0.5%

                                            = -2.310%

There will be a decrease of 2.310% in Bond Price

New Bond Price = 1000 - (1000 X 2.310%)

                           = 1000 - 23.10

                           = $976.90