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Ipatiy [6.2K]
3 years ago
6

Problem 9-7B Calculate the issue price of a bond and prepare amortization schedules (LO9-5, 9-7) [The following information appl

ies to the questions displayed below.] Christmas Anytime issues $790,000 of 7% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. Calculate the issue price of a bond and complete the first three rows of an amortization schedule when:
Business
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

Answer is given below.

Explanation:

Solution 1:

Chart Values are based on:      

n= (15 Years*2) 30 Half years

i= (7%/2) 3.50% Semi annual

Cash Flow Table Value * Amount = Present Value

Principal 0.356278 * $7,90,000 = $2,81,460

Interest (Annuity) [$790,000*7%*6/12] 18.392045 * $27,650 = $5,08,540

Price of Bonds  $7,90,000

Bond Amortization Schedule

Date Cash interest Interest Expense Chanage in Carrying Value Carrying value

01-Jan-21    $7,90,000

30-Jun-21 $27,650 $27,650 $0 $7,90,000

31-Dec-21 $27,650 $27,650 $0 $7,90,000

Solution 2:

Chart Values are based on:      

n= (15 Years*2) 30 Half years

i= (8%/2) 4.00% Semi annual

Cash Flow Table Value * Amount = Present Value

Principal 0.308319 * $7,90,000 = $2,43,572

Interest (Annuity) [$790,000*7%*6/12] 17.292033 * $27,650 = $4,78,125

Price of Bonds  $7,21,696

Bond Amortization Schedule

Date Cash interest Interest Expense Change in Carrying Value Carrying value

01-Jan-21    $7,21,696

30-Jun-21 $27,650 $28,868 $1,218 $7,22,914

31-Dec-21 $27,650 $28,917 $1,267 $7,24,181

Solution 3:

Chart Values are based on:      

n= (15 Years*2) 30 Half years

i= (6%/2) 3.00% Semi annual

Cash Flow Table Value * Amount = Present Value

Principal 0.411987 * $7,90,000 = $3,25,470

Interest (Annuity) [$790,000*7%*6/12] 19.600441 * $27,650 = $5,41,952

Price of Bonds  $8,67,422

Bond Amortization Schedule

Date Cash interest Interest Expense Change in Carrying Value Carrying value

01-Jan-21    $8,67,422

30-Jun-21 $27,650 $26,023 -$1,627 $8,65,794

31-Dec-21 $27,650 $25,974 -$1,676 $8,64,118

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