On January 1, 2021, Frontier World issues $40.6 million of 8% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. The proceeds will be used to build a new ride that combines a roller coaster, a water ride, a dark tunnel, and the great smell of outdoor barbeque, all in one ride. Required: 1-a. If the market rate is 7%, calculate the issue price. (FV of $1, PV of $1, FVA of $1, and PVA of $1)

Respuesta :

Answer:

The issue price of the bond is $44,330,000

Explanation:

The issue price of the bond can be computed using the pv formula in excel,which is given as =-pv(rate,nper,pmt,fv)

rate is the semi-annual yield to maturity on the bond which is 7%/2=3.5%

nper is the number of coupon payments the bond would make before maturity,which 15 years multiplied by 2=30

pmt is the semi-annual interest payment of the bond i.e 8%/2*$40.6 million=$1.624 million

The fv is the face value of the bond repayable at maturity which is $40.6 million

=-pv(3.5%,30,1.624,40.6)

pv=$44.33 million

The issue price is the price that prevails in the shares of the firm when they are made available to the general public in order to purchase and make the investment to it. The earning that the investors make is the difference between the discount issue price and full face value paid at maturity.

The issue price of the bond can be computed using the PV formula in excel, which is given as =-PV(rate, no. of periods, installment amount, future value)

Rate is the semi-annual yield to maturity on the bond=[tex]\begin{aligned} \frac{7\%}{2}=3.5\%\end{aligned}[/tex]

No. of periods is the number of coupon payments the bond would make before maturity=[tex]15\: years \times 2=30[/tex]

Installment amount is the semi-annual interest payment of the bond= [tex]\begin{aligned}\frac{8\%}{2} \times$40.6 million=\$1.624 million\end{aligned}[/tex]

The FV is the face value of the bond repayable at maturity which is $40.6 million =[tex]-PV(3.5\%,30,1.624,40.6)[/tex]

[tex]PV=\$44.33\: million[/tex]

The issue price of the bond is $44,330,000

To know more about the present and the future value, refer to the link below:

https://brainly.com/question/17164990