Question

Santa Corporation issued a bond on January 1 of this year with a face value of $1,000. The bond's coupon rate is 6 percent and interest is paid once a year on December 31. The bond matures in three years. The annual market rate of interest was 10 percent at the time the bond was sold. The following amortization schedule pertains to the bond issued:
Cash Paid Interest Expense Amortization Balance
January 1, Year 1 $901
December 31, Year 1 $60 $90 $30 931
December 31, Year 2 60 93 33 964
December 31, Year 3 60 96 36 1,000

Required:
a. What was the bond's issue price?
b. Did the bond sell at a DISCOUNT or a PREMIUM? and How much was the premium or discount?
c. What amount(s) should be shown on the balance sheet for bonds payable at the end of Year 1 and Year 2?

Answer 1

Answer:

Santa Corporation

a. The bond's issue price = $901 (PV of all cash inflows).

b. The bond sold at a DISCOUNT.  The discount was $99 (equal to total amortization).

c. Bonds payable at the end of:

Year 1 = $931

Year 2 = $964

Explanation:

a) Data and Calculations:

Face value of bond = $1,000

Coupon rate = 6%

Interest payment = Annually on December 31

Bond's maturity period = 3 years

Annual market rate of interest = 10%

N (# of periods)  3

I/Y (Interest per year)  10

PMT (Periodic Payment)  60

FV (Future Value)  1000

Results

PV = $900.53 = $901

Sum of all periodic payments $180.00

Total Interest $279.47

Schedule

Date                           Cash Paid   Interest Expense  Amortization  Balance

January 1, Year 1                                                                                 $901

December 31, Year 1     $60                     $90                $30              931

December 31, Year 2      60                        93                  33             964

December 31, Year 3      60                        96                  36          1,000