Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

On January 1, 2020, Ellison Co. issued eight-year bonds with a face value of $5,000,000 and a stated interest rate of 8%, payable semiannually on June 30 and December 31. The bonds were sold to yield 6%. The issue price of the bonds is closest to:

Sagot :

Answer:

"$4,417,800" is the correct solution.

Explanation:

According to the question,

Principal amount,

= $5,000,000

Number of period will be:

= [tex]8\times 2[/tex]

= [tex]16[/tex]

Interest rate yield per period will be:

= [tex]\frac{8 \ percent}{2}[/tex]

= [tex]4[/tex] %

Interest rate started per period will be:

= [tex]\frac{6 \ percent}{2}[/tex]

= [tex]3[/tex] %

Now,

The present value of principal will be:

= [tex]Principal\ amount\times Yield \ discount \ factor[/tex]

= [tex]5,000,000\times 0.534[/tex]

= [tex]2,670,000[/tex] ($)

The present value of interest will be:

= [tex]Interest \ amount\times Yield \ discount \ factor[/tex]

= [tex](5,000,000\times 3 \ percent)\times 11.652[/tex]

= [tex]1,747,800[/tex] ($)

hence,

The issue price of bonds will be:

= [tex]2,670,000+1,747,800[/tex]

= [tex]4,417,800[/tex] ($)