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P 14-4 On January 1, 2018, Tennessee Harvester Corporation issued debenture bonds that pay interest semiannually on June 30 and December 31. Portions of the

P 14-4

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

6,627,273

1

320,000

331,364

11,364

6,638,637

2

320,000

331,932

11,932

6,650,569

3

320,000

332,528

12,528

6,663,097

4

320,000

333,155

13,155

6,676,252

5

320,000

333,813

13,813

6,690,065

6

320,000

334,503

14,503

6,704,568

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

38

320,000

389,107

69,107

7,851,247

39

320,000

392,562

72,562

7,923,809

40

320,000

396,191

76,191

8,000,000

  1. What is the face amount of the bonds?

  1. What is the initial selling price of the bonds?

  1. What is the term to maturity in years?

ANWSER: 20 years (40 semi-annual payments)

  1. Interest is determined by what approach?

  1. What is the stated annual interest rate?

  1. What is the effective annual interest rate?

ANSWER: 10% ($331,364 / $6,627,273) X 2 =10%

  1. What is the total cash interest paid over the term to maturity?

  1. What is the total effective interest expense recorded over the term to maturity?

ANSWER: $14,172,727 ($12,800,000* + ($8,000,000 - $6,627,273) *$12,800,000 = $320,000 X 40

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