Question

ames Corporation is planning to issue bonds with a face value of $501,500 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 (sales) price on January 1 of this year for each of the following independent cases:

Answer 1

Answer:

The independent cases not given in the question are:

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.

At 4% issue price is  $583,502.44

At 6% issue price is $501,500.00

At 8% issue price is $433,344.51

Explanation:

The price of the bond can be computed using the pv value formula in excel.

=pv(rate,nper,pmt,fv)

rate is the market interest given in the three cases divided by since the bond is a semi-annual interest paying bond. for example 4%/2=2%

nper is the time to maturity multiplied by 2  i.e 10*2=20

pmt is the coupon  interest receivable by investor semi-annually which is 6%/2*$501,500=$15045

fv is the face value at $501,500

at 4%

=pv(2%,20,15045,501500)

=$583,502.44

at 6%

=pv(3%,20,15045,501500)

=$501,500.00

At 8%

=pv(4%,20,15045,501500)

=$433,344.51