(Amortization Schedule—Effective-Interest) Assume the same information as E14-6.

Instructions

Set up a schedule of interest expense and discount amortization under the effective-interest method. (Hint: The effective-interest rate must be computed.)

Short Answer

Expert verified

The effective interest rate is12%.

Step by step solution

01

Definition of Discount Amortization

Discount amortization is the method used by the business entity that has issued its bonds at a discount to spread the discount value over the life of the bond. The discount can be amortized by using the effective interest method or by using the straight-line method of amortization.

02

Amortization table under effective interest method

Date

Cash interest paid at stated rate on bond payable (10%)

Interest expenses at market rate on book value of bonds (12%)

Discount amortized

Unamortized discount

Bond payable

Book value

1 Jan 2017

$144,184

$2,000,000

$1,855,816

1 Jan 2018

$200,000

$222,698

$22,698

$121,486

$2,000,000

$1,878,514

1 Jan 2019

$200,000

$225,422

$25,422

$96,064

$2,000,000

$1,974,578

1 Jan 2020

$200,000

$236,949

$36,949

$59,115

$2,000,000

$2,033,693

1 Jan 2021

$200,000

$244,043

$44,043

$15,072

$2,000,000

$2,015,072

1 Jan 2022

$200,000

$241,809

$41,809

$0

$2,000,000

$200,000

Note: The present value calculated under 12% is nearer to the issue price of the bonds.

Working note: Calculation of effective interest rate

Calculation of present value at 11%:

Particular

Amount $

Present value of the bonds payable $2,000,000 (n=5, r=11%) (0.5935)

$1,187,000

Present value of the interest $200,000 (n=5, r=11%) (3.70)

740,000

Total present value

$1,927,000

Calculation of present value at 12%:

Particular

Amount $

Present value of the bonds payable $2,000,000 (n=5, r=12%) (0.5674)

$1,134,800

Present value of the interest $200,000 (n=5, r=12%) (3.605)

721,000

Total present value

$1,855,800

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Most popular questions from this chapter

(a) In a troubled-debt situation, why might the creditor grant concessions to the debtor?

What are some forms of off-balance-sheet financing?

On January 1, Martinez Inc. issued \(3,000,000, 11% bonds for \)3,195,000. The market rate of interest for these bonds is 10%. Interest is payable annually on December 31. Martinez uses the effective-interest method of amortizing bond premium. At the end of the first year, Martinez should report bonds payable of:

(a) \(3,185,130. (c) \)3,173,550.

(b) \(3,184,500. (d) \)3,165,000.

On January 1, 2017, Ellen Carter Company makes the two following acquisitions.

  1. Purchases land having a fair value of \(200,000 by issuing a 5-year, zero-interest-bearing promissory note in the face amount of \)337,012.
  2. Purchases equipment by issuing a 6%, 8-year promissory note having a maturity value of $250,000 (interest payable annually).

The company has to pay 11% interest for funds from its bank

Instructions

(Round answers to the nearest cent.)

  1. Record the two journal entries that should be recorded by Ellen Carter Company for the two purchases on January 1, 2017.
  2. Record the interest at the end of the first year on both notes using the effective-interest method.

Vargo Corp. owes \(270,000 to First Trust. The debt is a 10-year, 12% note due December 31, 2017. Because Vargo Corp. is in financial trouble, First Trust agrees to extend the maturity date to December 31, 2019, reduce the principal to \)220,000, and reduce the interest rate to 5%, payable annually on December 31.

Instructions

  1. Prepare the journal entries on Vargo’s books on December 31, 2017, 2018, 2019.
  2. Prepare the journal entries on First Trust’s books on December 31, 2017, 2018, 2019.
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