$250 million bond issue to finance the purchase of new jet airliners. These bonds were issued in $1000 denominations with an original maturity of 12 years and a coupon rate of 12%. Determine the value today of one of these bonds to an investor who requires a 14% rate of return on these securities.

Respuesta :

Answer:

$886.78

Explanation:

Data provided in the question:

Amount of bond issued  = $250 million

Coupon rate = 12%

Face value, FV = $1,000

Coupon value, C = 12% of $1,000 = $120

Duration = 12 years

Required rate of return = 14%

Price of a bond = [tex]C\frac{1-(1+r)^{-n}}{i}+\frac{FV}{(1+i)^n}[/tex]

on substituting the respective values, we get

Price of a bond = [tex]\$120\times\frac{1-(1+0.14)^{-12}}{0.14}+\frac{\$1000}{(1+0.14)^{12}}[/tex]

or

Price of bond = 679.23 + 207.55 = $886.78