Question

Heather Smith is considering a bond investment in Locklear Airlines. The $1,000 parvalue bonds have a quoted annual interest rate of 11 percent and the interest is paidsemiannually. The yield to maturity on the bonds is 14 percent annual interest. There areseven years to maturity. Compute the price of the bonds based on semiannual analysis.

Answer 1

Answer:

Price of the Bond is $868.82

Explanation:

Market Value of the bond is the present value of all cash flows of the bond. These cash flows include the coupon payment and the maturity payment of the bond. Price of the bond is calculated by following formula:

Market Value of the Bond = C/2 x [ ( 1 - ( 1 + r/2 )^-2n ) / r/2 ] + [ $1,000 / ( 1 + r/2 )^2n ]

Whereas

C = coupon payment = $110.00 (Par Value x Coupon Rate)

n = number of years = 7

r = market rate, or required yield = 14% = 0.14

P = value at maturity, or par value = $1,000

Price Value of the Bond = $110/2 x [ ( 1 - ( 1 + 14%/2 )^-2x7 ) / 14%/2 ] + [ $1,000 / ( 1 + 14%/2 )^2x7 ]

Price Value of the Bond = $55 x [ ( 1 - ( 1 + 7% )^-14 ) / 7% ] + [ $1,000 / ( 1 + 7% )^14 ]

Price of the Bond = $481.0+$387.82

Price of the Bond = $868.82