Question

Whatever, Inc., has a bond outstanding with a coupon rate of 5.98 percent and semiannual payments. The yield to maturity is 5.5 percent and the bond matures in 18 years. What is the market price if the bond has a par value of $1,000? Multiple Choice $1,075.50 $1,057.42 $1,053.98 $1,056.03 $1,054.41

Answer 1

e. $1,054.41

Step-by-step explanation:

Face Value = 1,000

N = 36 (18*2 = 36)

I/Y = 2.75% (5.5%/2 = 2.75)

Market Price = $29.90 * PVIFA(2.75%, 36) + $1,000 * PVIF(2.75%, 36)

Market Price = $29.90 * (1 - (1/1.0275)^36) / 0.0275 + $1,000 / 1.0275^36

Market Price = $29.90 * 22.66992 + $1,000 * 0.37658

Market Price = $1,054.41