James Corporation is planning to issue bonds with a face value of $500,000 and a coupon rate of 6 percent. The bonds mature in 10 years and pay interest semiannually every June 30 and December 31. All of the bonds will be sold on January 1 of this year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.)

Required:

Compute the issue (sale) price on January 1 of this year for each of the following independent cases:

a. Case A: Market interest rate (annual): 4 percent.

b. Case B: Market interest rate (annual): 6 percent.

c. Case C: Market interest rate (annual): 8.5 percent.

Respuesta :

Answer:

Case A $581,757.17  

Case B $500,000.00  

Case C $416,910.21  

Explanation:

Current price of a bond

The market price of a bond can be computed using the pv formula in excel, which is given as :

=pv(rate,nper,pmt,fv)

Where rate is the yield to maturity on the bond divided by 2 since the bond in question is semi-annual interest paying bond i.e

Case A 4%/2=2%

Case B 6%/2=3%

Case C 8.5%/2=4.25%

The nper is the time to maturity of the bond multiplied by 2 for the same reason cited for yield to maturity  i.e 10 years *2=20

The pmt is the semi-annual coupon interest payable by the bond i.e 6%/2*$500,000=$15,000

The fv is the future value of the bond given as $500,000

Case A

=-pv(2%,20,15000,500000)

Pv= 581,757.17  

Case B

=-pv(3%,20,15000,500000)

PV=$500,000.00  

Case C

=-pv(4.25%,20,15000,500000)

PV=$416,910.21  

Answer:

Bonds are the financial instruments used for the purpose of investing funds for safer returns in the future, along with the fixed rate of return earned each year.

Explanation:

The issue or sale price of the bonds as of January 1 for each of the independent cases is computed with the help of the following formula:

[tex]\begin{aligned}\text{Present Value}&=\text{Future Value}\times\frac{1}{(1+r)^n}\end{aligned}[/tex]

The issue price is computed below as given in the tables.

It can be calculated either by using the calculator or the excel sheet formula.

For more information, please refer to the link:

https://brainly.com/question/14599790?referrer=searchResults

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