Question

In: Accounting

Problem 1 Company:                        XYZ Company Date of bonds:           &nbsp

Problem 1

Company:                        XYZ Company

Date of bonds:                January 1, 2019

Term:                               4 years

Face (Par) Value:            $1,000

Stated interest rate:         10%

Effective interest rate:    12%

Interest payment dates on January 1 and July 1

  1. Compute the market price of the bonds and journalize the issuance of the bonds.
  1. Prepare a schedule to amortize the premium or discount using the effective interest method of amortization for the first year and journalize the entries to record the interest payment on July 1, 2019 and January 1 2020.
  1. Interest expense for the year ended December 31, 2019 is $______________.

Solutions

Expert Solution

Market interest rate = 12%
   Market interest rate for a semiannual period = 12% / 2 = 6%
   r = 0.06 (per semiannual period),  
   n = 8 (semiannual periods)

Present value of principal
   = $1,000 x Present value factor for a single payment (6%, 8 periods)
   = $1,000 x 0.6274
   = $627

Interest payment each semiannual period
   = $1,000 x 5%
   = $50  
   (Coupon rate for a semiannual period = 10% / 2 = 5%.)

Present value of interest payments
   = Interest payment each semiannual period
          x Present value factor for an ordinary annuity (6%, 8 periods)
   = ($1,000 x 5%) x 6.2098
   = $310

Price of bonds
   = Present value of principal + Present value of interest payments
   = $627 + $310
   = $937

The bonds will be sold at a $63discount from the face amount.
($1,000 - $937 = $63)

Journal Entry for Issuance :

Dr. Cash 937

Dr. Discount 63

Cr. Bonds Payable 1,000

Date Interest paid Effective interest rate for semiannual period Interest expense Amortization of discount Present value of bonds
1/1/2019 $937
7/1/2019 $50 6% $56 $6 $943
1/1/2020 $50 6% $57 $7 $950
7/1/2020 $50 6% $57 $7 $957
1/1/2021
$50
6% $58 $8 $965
7/1/2021
$50
6% $58 $8 $973
1/1/2022
$50
6% $58 $8 $981
7/1/2022
$50
6% $59 $9 $990
1/1/2023
$50
6% $60 $10 $1,000

Journal Entry on 7/1/2019:

a) Dr. Interest Exp. 50

Cr. Cash 50

b) Dr. Interest exp. 6

Cr. Bond discount 6

Journal Entry on 1/1/2020:

a) Dr. Interest Exp. 50

Cr. Cash 50

b) Dr. Interest exp. 7

Cr. Bond discount 7

Interest Expense for the year ended December 31,2019 is $ 56


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