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Answer:
issue $700,000 in 5 year bonds that pay 13% semiannual coupons (coupon = $45,500)
market interest rate 12%, so bonds will be sold at a premium
1) What was the issue price on January 1 of this year?
issue price = present value of face value + present value of interest payments
- present value of face value = $700,000 / (1 + 6%)ยนโฐ = $390,876
- present value of annuity = $45,500 x {1 - [1 / (1 + 6%)ยนโฐ]} / 6% = $334,884
issue price = $390,876 + $334,884 = $725,760
journal entry to record issuance of the bonds:
Dr Cash 725,760
ย ย Cr Bonds payable 700,000
ย ย Cr Premium on bonds payable 25,760
2) What amount of interest expense should be recorded on June 30 and December 31 of this year?
amortization of bond premium June 30 = ($725,760 x 6%) - ($700,000 x 6.5%) = $43,546 - $45,500 = -$1,954
Journal entry June 30th, first coupon payment:
Dr Interest expense 43,546
Dr Premium on bonds payable 1,954
ย ย Cr Cash 45,500
amortization of bond premium December 31 = ($727,714 x 6%) - ($700,000 x 6.5%) = $43,663 - $45,500 = -$1,837
Journal entry December 31st, second coupon payment:
Dr Interest expense 43,663
Dr Premium on bonds payable 1,837
ย ย Cr Cash 45,500
3) What amount of cash should be paid to investors June 30 and December 31 of this year?
$45,500 per coupon payment
4) What is the book value of the bonds on June 30 and December 31 of this year?
Book value on June 30th:
Bonds payable $700,000
Premium on bonds payable $23,806
Book value on December 31st:
Bonds payable $700,000
Premium on bonds payable $21,969
1. Issue price = $390,876 + $334,884 = $725,760
2. Amortization of bond premium June 30 = -$1,954
3. $45,500 per coupon payment
Prepare the journal entry
When the Issue $700,000 in 5 year bonds that pay 13% semiannual coupons (coupon is = $45,500)
Then the market interest rate is 12%, so bonds will be sold at a premium
1) The issue price is = present value of face value + present value of interest payments
After that, present value of face value is = $700,000 / (1 + 6%)ยนโฐ = $390,876
Then, present value of annuity = $45,500 x {1 - [1 / (1 + 6%)ยนโฐ]} / 6% = $334,884
Now, issue price is = $390,876 + $334,884 = $725,760
The journal entry to record issuance of the bonds:
Dr Cash 725,760
Cr Bonds payable 700,000
Cr Premium on bonds payable 25,760
2) The amortization of bond premium June 30 is = ($725,760 x 6%) - ($700,000 x 6.5%) = $43,546 - $45,500 = -$1,954
Then, The Journal entry June 30th, first coupon payment:
Dr Interest expense 43,546
Dr Premium on bonds payable 1,954
Cr Cash 45,500
Now, amortization of bond premium December 31 is = ($727,714 x 6%) - ($700,000 x 6.5%) = $43,663 - $45,500 = -$1,837
Then, prepare the Journal entry December 31st, second coupon payment:
Dr Interest expense 43,663
Dr Premium on bonds payable 1,837
Cr Cash 45,500
3) $45,500 per coupon payment
4) The Book value on June 30th:
Bonds payable $700,000
Premium on bonds payable $23,806
Book value on December 31st:
Bonds payable $700,000
Premium on bonds payable $21,969
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