Answer:
1. $ 129,352,725
2. Jan 1 2016
Jan 1 2016
Dr Cash $ 129,352,725
Dr Discount on issue of bonds $20,647,275
Cr Bonds payable $150,000,000
3. June 30, 2016
Dr Interest expense $8,188,243
Cr Discount on bonds payable $688,243
Cr Cash $7,500,000
4. December 31, 2023
Dr Interest expense $8,188,243
Cr Discount on bonds payable $688,243
Cr Cash $7,500,000
Explanation:
1. Calculation to Determine the price of the bonds at January 1, 2016
First step is to find Present value of an ordinary annuity of $1: n = 30, i = 6% (PVA of $1) using ordinary annuity table
Present value of an ordinary annuity of $1: n = 30, i = 6% (PVA of $1)
Present value of an ordinary annuity of $1=13.76483
Second step is to find the Present value of $1: n = 30, i = 6% (PV of $1)
Present value of $1: n = 30, i = 6% (PV of $1)=0.17411
Now let calculate the Price of the bonds at January 1, 2016
Interest $ 103,236,225
[(10%/2 semiannually*$150,000,000) *13.76483]
Add Principal $26,116,500
($150,000,000 *0.17411 )
Present value (price) of the bonds $ 129,352,725
($ 103,236,225+$26,116,500)
Therefore the Price of the bonds at January 1, 2016 will be $ 129,352,725
2. Preparation of the journal entry to record their issuance by Universal Foods on January 1, 2016.
Jan 1 2016
Dr Cash $ 129,352,725
($ 103,236,225+$26,116,500)
Dr Discount on issue of bonds $20,647,275
($150,000,000-$ 129,352,725)
Cr Bonds payable $150,000,000
(Being to record issue of Bond)
3. Preparation of the journal entry to record interest on June 30, 2016
June 30, 2016
Dr Interest expense $8,188,243
($7,500,000 + $688,243)
Cr Discount on bonds payable $688,243
($20,647,275 ÷ 30)
Cr Cash $7,500,000
(10%/2 × $150,000,000)
(Being to record interest paid)
4. Preparation of the journal entry to record interest on December 31, 2023.
December 31, 2023
Dr Interest expense $8,188,243
($7,500,000 + $688,243)
Cr Discount on bonds payable $688,243
($20,647,275 ÷ 30)
Cr Cash $7,500,000
(10%/2× $150,000,000)
(Being to record interest paid)