Question

On January 1, 2021, Vacation Destinations issues $35 million of bonds that pay interest semiannually on June 30 and December 31. Portions of the bond amortization schedule appear below:
(1) (2) (3) (4) (5)
Cash Paid Interest Increase in Carrying
Date for Interest Expense Carrying Value Value
1/1/2021 $ 32,512,829
6/30/2021 $ 1,050,000 $ 1,137,949 $ 87,949 32,600,778
12/31/2021 1,050,000 1,141,027 91,027 32,691,805
1. Were the bonds issued at face amount, a discount, or a premium?
2. What is the original issue price of the bonds? (Enter your answer in dollars, not millions. (i.e., $5.5 million should be entered as 5,500,000).)
Issue Price: ___
3. What is the face amount of the bonds? (Enter your answer in dollars, not millions. (i.e., $5.5 million should be entered as 5,500,000).)
Face Amount: ___
4. What is the stated annual interest rate?
5. What is the market annual interest rate? (Round your answer to the nearest whole percent.)
6. What is the total cash paid for interest assuming the bonds mature in 10 years? (Enter your answer in dollars, not millions. (i.e., $5.5 million should be entered as 5,500,000).)

Answer 1

Answer:

Vacation Destinations

1. The bonds were issued at a discount.

2. The original issue price of the bonds is: $32,512,829 ($9,28.94 per $1,000).

3. Face Amount is: $35,000,000

4. The stated annual interest rate is 6%.

5. The market annual interest rate is 7%.

6. The Total cash paid for interest, assuming the bonds mature in 10 years is $21,000,000.

Explanation:

a) Data and Calculations:

Face value of bonds = $35,000,000

Interest rate = 6% ($1,050,000/$35,000,000 * 100) x 2

Discounted value $32,512,829

Discounts = $2,487,171

Amortization of discounts during the first interest payment = $87,949

Amortization of discounts during the December 31, 2021 interest payment = $91,027

Original issue price = $9,28.94 ($32,512,829/35,000)

Market annual interest rate = ($1,137,949/$32,512,829 * 100) * 2 = 7%

Total cash paid for interest = $1,050,000 * 10 * 2 = $21,000,000

Portions of the bond amortization schedule appear below:

Date              Cash Paid  Interest Expense   Increase      Carrying amount

1/1/2021                                                                                $ 32,512,829

6/30/2021 $ 1,050,000      $ 1,137,949        $ 87,949         32,600,778

12/31/2021    1,050,000          1,141,027            91,027         32,691,805