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Two years ago, Trans-Atlantic Airlines sold a $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:

The investor will pay up to $ 985.68

Explanation:

The market value of the bonds will be the discounted value of the coupon payment and maturity at discount rate of 14% which the investor requires

[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]

Coupon payment: 1,000 face value x 12% = 120

time to maturity: 12 years bond issued 2 years =  10 years

rate 0.14

[tex]120 \times \frac{1-(1+0.14)^{-10} }{0.14} = PV\\[/tex]

PV $625.9339

[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]  

Maturity   1,000.00

time   10 years

rate  0.14

[tex]\frac{1000}{(1 + 0.14)^{10} } = PV[/tex]  

PV   269.74

PV coupon payment 625.94 + PM maturity $269.74 = $985.68