Question

Venezuela Co. is building a new hockey arena at a cost of $2,500,000. It received a downpayment of $500,000 from local businesses to support the project, and now needs to borrow $2,000,000 to complete the project. It therefore decides to issue $2,000,000 of 10.5%, 10-year bonds. These bonds were issued on January 1, 2013, and pay interest annually on each January 1. The bonds yield 10%. Venezuela paid $50,000 in bond issue costs related to the bond sale.
Instructions

(a)
Prepare the journal entry to record the issuance of the bonds and the related bond issue costs incurred on January 1, 2013.

(b)
Prepare a bond amortization schedule up to and including January 1, 2017, using the effective-interest method.

(c)
Assume that on July 1, 2016, Venezuela Co. redeems half of the bonds at a cost of $1,065,000 plus accrued interest. Prepare the journal entry to record this redemption.

Answer 1

Answer:

cash                             2,011,446 debit

unamortized bond cost  50,000 debit

            bonds payable               2,000,000 credit

            premium on BP                     61,446 credit

--to record issuance--

# Beg. Carrying //cash   // expense //Amortization// End.Carrying Value

1 2,061,446  210,000   206144.57 3855.43  2,057,590

2 2,057,590  210,000  205759.02 -4240.98  2,053,349

3 2,053,349  210,000  205334.93 -4665.07  2,048,684

4 2,048,684  210,000  204868.42 -5131.58  2,043,553

5 2,043,553  210,000  204355.26 -5644.74  2,037,908

Bonds payable          1,000,000 debit

premium on BP              24,342 debit

issuance cost expense 25,000 debit

interest expense           51,217.1  debit

loss at redemption        41.959,9‬ debit

  cash                                                     1,117,500 credit                      

  unarmortized bond issuance cost       25,000 credit

Explanation:

First, we solve the value collected which is the present value of the coupon payment and maturity

$C \times \frac{1-(1+r)^{-time} }{rate} = PV$

C 210,000.000

time 10

rate 0.1

$210000 \times \frac{1-(1+0.1)^{-10} }{0.1} = PV$

PV $1,290,359.0922

$\frac{Maturity}{(1 + rate)^{time} } = PV$  

Maturity   2,000,000.00

time   10.00

rate  0.1

$\frac{2000000}{(1 + 0.1)^{10} } = PV$  

PV   771,086.58

PV c  $  1,290,359.0922

PV m  $     771,086.5789

Total  $  2,061,445.6711

Now, we solve for the premium

2,061,446 - 2,000,000 = 61,446 premium

the interst expense will be calcualte as carrying value times market rate

the cash will be the same for every period thus 210,000

Finally, the difference will be the amortizationon the premium

If redem on July 1st 2016 we need to record the interst:

2,048,684 x .05 = 102.434,2/2 = 51.217,1

cash interest: 1,000,000 x 10.5% / 2  = 52,500

Total cash

52,500 interest

1,065,000 bonds

 1,117,500

portion of unamortized cost 25,000

face value 1,000,000

portion of premium: 48,684/2 = 24.342‬

the loss f redemption will be the difference between the interest expense, amoritzation on premiun and write-off of the face value with the amount of cash outlay.