In: Finance
A 10%, 10-year bond is sold to yield 8%. One year passes, and the yield remains unchanged at 8%. Holding all other factors constant, the bond's price during this period will have:
a. Increased
b. Decreased
c. Remained constant
I am assuming face value to be 100
Coupon = 0.01 * 10 = 10
rate = 8%,
Bond price when 10 years remaining = 10 * [ 1- [ 1 / 1 + 0.08)10]] / 0.08 + 100 / ( 1 + 0.08)10
Bond price when 10 years remaining = 10 * 6.7101 + 46.319349
Bond price when 10 years remaining = 113.42
Bond price when 9 years remaining =10 * [ 1- [ 1 / 1 + 0.08)9]] / 0.08 + 100 / ( 1 + 0.08)9
Bond price when 9 years remaining = 112.49
Therefore, the bond price decreased