Question

In: Accounting

On January 1, 2018, Tennessee Harvester Corporation issued debenture bonds that pay interest semiannually on June...

On January 1, 2018, Tennessee Harvester Corporation issued debenture bonds that pay interest semiannually on June 30 and December 31. Portions of the bond amortization schedule appear below:

Payment Cash
Payment
Effective
Interest
Increase in
Balance
Outstanding
Balance
6,256,164
1 234,000 250,247 16,247 6,272,411
2 234,000 250,896 16,896 6,289,307
3 234,000 251,572 17,572 6,306,879
4 234,000 252,275 18,275 6,325,154
5 234,000 253,006 19,006 6,344,160
6 234,000 253,766 19,766 6,363,926
~ ~ ~ ~ ~
~ ~ ~ ~ ~
~ ~ ~ ~ ~
38 234,000 303,342 69,342 7,652,885
39 234,000 306,115 72,115 7,725,000
40 234,000 309,000 75,000 7,800,000

Required:
1.
What is the face amount of the bonds?
2. What is the initial selling price of the bonds?
3. What is the term to maturity in years?
4. Interest is determined by what approach?
5. What is the stated annual interest rate?
6. What is the effective annual interest rate?
7. What is the total cash interest paid over the term to maturity?
8. What is the total effective interest expense recorded over the term to maturity?

Solutions

Expert Solution

1. Face amount of bond = $ 7,800,000 (Outstanding balance at the time of maturity )

2. Initial selling price of bonds = $ 6,256,164 ( Initial outstanding balance)

3. Term to maturity in years is 20 years ( 40 semiannual periods / 2)

4 .Interest is determined by Effective interest rate.

5. Stated annual interest rate =( Cash payment / Face amount of bond) * Number of semiannual period in a year

= ( $234,000 / 7,800,000) * 2

Stated annual interest rate = 0.06 or 6%

6. Effective annual interest rate = ( Effective interest / Outstanding balance) * Number of semiannual period in a year

= ($250,247 / 6,256,164 ) * 2

= 0.08 or 8%

7. Total cash interest paid over the term to maturity = Cash payment * Total number of periods

= $234,000 * 40

= $9,360,000

8.   Total effective interest expense recorded over the term to maturity = Total cash interest paid + Amount of discount

= $9,360,000 + ($7,800,000 - 6,256,164)

= $9,360,000 + 1,543,836

  = $10,903,836


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