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E10-14 Recording and Reporting a Bond Issued at a Premium (without Premium Accou

ID: 2531343 • Letter: E

Question

E10-14 Recording and Reporting a Bond Issued at a Premium (without Premium Account) LO10-5, Supplement A Park Corporation is planning to issue bonds with a face value of $2,001,000 and a coupon rate of 10 percent. The bonds mature in 15 years and pay interest semiannually every June 30 and December 31. All of the bonds were sold on January 1 of this year. Park uses the effective-interest amortization method and does not use a premium account. Assume an annual market rate of interest of 8.5 percent. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.) Required: 1. Prepare the journal entry to record the issuance of the bonds. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) View transaction list Journal entry worksheet Record the issuances of the bonds. Note: Enter debits before credits. Debit Credit Date January 01 General Journal Cash Bonds payable

Explanation / Answer

CALCULATION OF PRESENT VALUE OF THE BOND IF THE INTEREST PAID SEMI ANNUALLY Step 1 : Calculation of Annual Coupon Payments Par value of the bond issued is   = $20,01,000 Annual Coupon % 10.00% Annual Coupon Amount $2,00,100.00 Semi Annual Coupon Amount $1,00,050.00 Step 2: Calculate number of years to Maturity Number of years to maturity = 15 years Interest is paid semi annyally so total period = 15 Years * 2 = 30 Periods Step 3 : Caclulation of Current Market Price (intrinsic value) of the bonds Market rate of interest or Yield to Maturity or Required Return = 8.5% Bonds interest is paid semi annualy means so discounting factor = 8.5 % /2= 4.25 % PVF = 1 / Discount rate = 1/ 1.0425 Result of above will again divide by 1.0425 , repeat this lat period Period Interest Amount (In Million) PVF @ 4.25% PresentValue 1 Interest $1,00,050                     0.9592 $95,971.22 2 Interest $1,00,050                     0.9201 $92,058.73 3 Interest $1,00,050                     0.8826 $88,305.73 4 Interest $1,00,050                     0.8466 $84,705.74 5 Interest $1,00,050                     0.8121 $81,252.51 6 Interest $1,00,050                     0.7790 $77,940.06 7 Interest $1,00,050                     0.7473 $74,762.64 8 Interest $1,00,050                     0.7168 $71,714.77 9 Interest $1,00,050                     0.6876 $68,791.14 10 Interest $1,00,050                     0.6595 $65,986.71 11 Interest $1,00,050                     0.6326 $63,296.60 12 Interest $1,00,050                     0.6069 $60,716.16 13 Interest $1,00,050                     0.5821 $58,240.93 14 Interest $1,00,050                     0.5584 $55,866.59 15 Interest $1,00,050                     0.5356 $53,589.06 16 Interest $1,00,050                     0.5138 $51,404.37 17 Interest $1,00,050                     0.4928 $49,308.75 18 Interest $1,00,050                     0.4727 $47,298.56 19 Interest $1,00,050                     0.4535 $45,370.32 20 Interest $1,00,050                     0.4350 $43,520.69 21 Interest $1,00,050                     0.4173 $41,746.47 22 Interest $1,00,050                     0.4002 $40,044.58 23 Interest $1,00,050                     0.3839 $38,412.06 24 Interest $1,00,050                     0.3683 $36,846.10 25 Interest $1,00,050                     0.3533 $35,343.98 26 Interest $1,00,050                     0.3389 $33,903.10 27 Interest $1,00,050                     0.3250 $32,520.96 28 Interest $1,00,050                     0.3118 $31,195.17 29 Interest $1,00,050                     0.2991 $29,923.42 30 Interest $1,00,050                     0.2869 $28,703.52 30 Bond Principal Value $20,01,000                     0.2869 $5,74,070.43 Total $22,52,811.10 Current Bonds Price = $22,52,811 Issue price of the bond= $22,52,811 Par Value of the bonds = $20,01,000.00 Discount to be amortized = $2,51,811 ANSWER =1) Journal Entries Date Account Title and explanation Debit Credit January, 01 Cash $                     22,52,811       To 10% Bonds $          20,01,000        To premium on bonds payable $             2,51,811 ANSWER =2) Working Notes: for calculation of the interest expenses Interest Expenses of June on par = $1,00,050.00 Add: Amortization interest = -$4,305.53 Total interest = $95,744.47 Journal Entries Date Account Title and explanation Debit Credit January, 01 Interest Expenses $                           95,744 Amortization expenses $                             4,306         To Cash $             1,00,050 ANSWER =3) BALANCE SHEET (PARTIAL ) (As on June 30th ) Long Term Liabilities: Bonds Payable $                 20,01,000.0 Add: Balance in bonds Premium $                       2,47,506 Net Balance - Bonds Payable $                     22,48,506 Working notes EFFECTIVE - INTEREST AMORTIZATION SCHEDULE MARKET RATE OF INTEREST IS 6% AND BOND INTEREST IS 7% Date Interest payment on face value Interest Expenses (Cash paid - Decrease in Carrying value) Amortization expenses Debit Balance in bond discount Credit Balance in acct payable book Value of the bond 1/1/18 $                                                                             -   $                                    -   $                          -   $2,51,811.10 $20,01,000 $       22,52,811 1 06/30/18 $1,00,050.00 $                     95,744.47 $             4,305.53 $   2,47,505.57 $20,01,000 $       22,48,506 2 12/31/18 $1,00,050.00 $                     95,561.49 $             4,488.51 $   2,43,017.06 $20,01,000 $       22,44,017 3 12/31/18 $1,00,050.00 $                     95,370.72 $             4,679.28 $   2,38,337.78 $20,01,000 $       22,39,338 4 12/31/18 $1,00,050.00 $                     95,171.86 $             4,878.14 $   2,33,459.64 $20,01,000 $       22,34,460 5 12/31/18 $1,00,050.00 $                     94,964.53 $             5,085.47 $   2,28,374.17 $20,01,000 $       22,29,374 6 12/31/18 $1,00,050.00 $                     94,748.40 $             5,301.60 $   2,23,072.58 $20,01,000 $       22,24,073 7 12/31/18 $1,00,050.00 $                     94,523.08 $             5,526.92 $   2,17,545.66 $20,01,000 $       22,18,546 8 12/31/18 $1,00,050.00 $                     94,288.19 $             5,761.81 $   2,11,783.85 $20,01,000 $       22,12,784 9 12/31/18 $1,00,050.00 $                     94,043.31 $             6,006.69 $   2,05,777.17 $20,01,000 $       22,06,777 10 12/31/18 $1,00,050.00 $                     93,788.03 $             6,261.97 $   1,99,515.19 $20,01,000 $       22,00,515 11 12/31/18 $1,00,050.00 $                     93,521.90 $             6,528.10 $   1,92,987.09 $20,01,000 $       21,93,987 12 12/31/18 $1,00,050.00 $                     93,244.45 $             6,805.55 $   1,86,181.54 $20,01,000 $       21,87,182 13 12/31/18 $1,00,050.00 $                     92,955.22 $             7,094.78 $   1,79,086.76 $20,01,000 $       21,80,087 14 12/31/18 $1,00,050.00 $                     92,653.69 $             7,396.31 $   1,71,690.44 $20,01,000 $       21,72,690 15 12/31/18 $1,00,050.00 $                     92,339.34 $             7,710.66 $   1,63,979.79 $20,01,000 $       21,64,980 16 12/31/18 $1,00,050.00 $                     92,011.64 $             8,038.36 $   1,55,941.43 $20,01,000 $       21,56,941 17 12/31/18 $1,00,050.00 $                     91,670.01 $             8,379.99 $   1,47,561.44 $20,01,000 $       21,48,561 18 12/31/18 $1,00,050.00 $                     91,313.86 $             8,736.14 $   1,38,825.30 $20,01,000 $       21,39,825 19 12/31/18 $1,00,050.00 $                     90,942.58 $             9,107.42 $   1,29,717.88 $20,01,000 $       21,30,718 20 12/31/18 $1,00,050.00 $                     90,555.51 $             9,494.49 $   1,20,223.39 $20,01,000 $       21,21,223 21 12/31/18 $1,00,050.00 $                     90,151.99 $             9,898.01 $   1,10,325.38 $20,01,000 $       21,11,325 22 12/31/18 $1,00,050.00 $                     89,731.33 $          10,318.67 $   1,00,006.71 $20,01,000 $       21,01,007 23 12/31/18 $1,00,050.00 $                     89,292.79 $          10,757.21 $       89,249.49 $20,01,000 $       20,90,249 24 12/31/18 $1,00,050.00 $                     88,835.60 $          11,214.40 $       78,035.10 $20,01,000 $       20,79,035 25 12/31/18 $1,00,050.00 $                     88,358.99 $          11,691.01 $       66,344.09 $20,01,000 $       20,67,344 26 12/31/18 $1,00,050.00 $                     87,862.12 $          12,187.88 $       54,156.21 $20,01,000 $       20,55,156 27 12/31/18 $1,00,050.00 $                     87,344.14 $          12,705.86 $       41,450.35 $20,01,000 $       20,42,450 28 12/31/18 $1,00,050.00 $                     86,804.14 $          13,245.86 $       28,204.49 $20,01,000 $       20,29,204 29 12/31/18 $1,00,050.00 $                     86,241.19 $          13,808.81 $       14,395.68 $20,01,000 $       20,15,396 30 12/31/18 $1,00,050.00 $                     85,654.32 $          14,395.68 $                 0.00 $20,01,000 $       20,01,000