Question

X Co. issued 7% bonds with a face value of $200,000. At time of issue, the market interest rate for similar bonds was 8%. The bonds had a five-year life and paid interest annually (to keep the problem straightforward). At what price were the bonds issued. Record the entry for issuance. In class (or at home if you like), prepare a bond interest amortization schedule, using Excel.

Answer 1

Solution:

Given that :

X company issued bonds of 7 percent having face value of $ 200,000.

At the time of issue the market rate of interest is 8 percent.

Life of the bonds = 5 years

And interest is paid annually.

Now computing the issue price of bond:

Issue price of bond = ($ 200,000 x 7%) x PUIFA (8%, 5 periods) + ($ 200,000) x PUIF (8%, 5th period)

= ($ 14,000 x 3.99271) + ($ 200,000 x 0.68058)

= ($ 55,897.94) + ($ 136,116)

= $ 192,014

Journal entry of issuance of bond at the beginning of year 1

Date/ period     General journal            Debit                    Credit

Beginning of        Cash A/c                  $192,014          

period 1                Discount of bond      $ 7986

                             payable A/C

                            To bond payable a/c                              $200,000

Bond amortisating schedule using effective interest rate:

Period        Interest expense     Interest expense    Discount         Closing of

                   paid in advance          record                                         book value

Beginning

of period 1                                                                                            $192,014

Period 1      $14,000                     $15361                     $ 1361             $193,375

                                                  ($192,014 x 8%)

Period 2      $14,000                     $15470                     $1470            $194845

                                                  ($193,375 x 8%)  

Period 3      $14,000                     $15588                    $ 1588            $196433

                                                  ($194845 x 8%)

Period 4      $14,000                     $15715                    $ 1715             $198148

                                                  ($196433 x 8%)

Period 5      $14,000                     $15852                     $ 1852           $200000

                                                  ($198148 x 8%)