In: Accounting
1/ Williams Company plans to issue bonds with a face value of $608,000 and a coupon rate of 6 percent. The bonds will mature in 10 years and pay interest semiannually every June 30 and December 31. All of the bonds are 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.) Determine the issuance price of the bonds assuming an annual market rate of interest of 6 percent.
2/ James Corporation is planning to issue bonds with a face value of $509,000 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.
3/ GMAT Corporation is planning to issue bonds with a face value of $251,000 and a coupon rate of 4 percent. The bonds mature in 10 years and pay interest semiannually every June 30 and December 31. All of the bonds were sold on January 1 of this year. Determine the issuance price of the bonds assuming an annual market rate of interest of 6.0 percent. (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.)
Answer to Question 1:
Face Value = $608,000
Annual Coupon Rate = 6%
Semiannual Coupon Rate = 3%
Semiannual Coupon = 3% * $608,000
Semiannual Coupon = $18,240
Time to Maturity = 10 years
Semiannual Perod to Maturity = 20
Annual Interest Rate = 6%
Semiannual Interest = 3%
Issue Price of Bonds = $18,240 * PVA of $1 (3%, 20) + $608,000 *
PV of $1 (3%, 20)
Issue Price of Bonds = $18,240 * 14.877475 + $608,000 *
0.553676
Issue Price of Bonds = $608,000
Answer to Question 2:
Face Value = $509,000
Annual Coupon Rate = 6%
Semiannual Coupon Rate = 3%
Semiannual Coupon = 3% * $509,000
Semiannual Coupon = $15,270
Time to Maturity = 10 years
Semiannual Perod to Maturity = 20
If interest rate is 4%:
Annual Interest Rate = 4%
Semiannual Interest = 2%
Issue Price of Bonds = $15,270 * PVA of $1 (2%, 20) + $509,000 *
PV of $1 (2%, 20)
Issue Price of Bonds = $15,270 * 16.351433 + $509,000 *
0.672971
Issue Price of Bonds = $592,229
If interest rate is 6%:
Annual Interest Rate = 6%
Semiannual Interest = 3%
Issue Price of Bonds = $15,270 * PVA of $1 (3%, 20) + $509,000 *
PV of $1 (3%, 20)
Issue Price of Bonds = $15,270 * 14.877475 + $509,000 *
0.553676
Issue Price of Bonds = $509,000
If interest rate is 8.50%:
Annual Interest Rate = 8.50%
Semiannual Interest = 4.25%
Issue Price of Bonds = $15,270 * PVA of $1 (4.25%, 20) +
$509,000 * PV of $1 (4.25%, 20)
Issue Price of Bonds = $15,270 * 13.294366 + $509,000 *
0.434989
Issue Price of Bonds = $424,414