In: Accounting
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?
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