Question

$15 million, 10-year, 10% unsecured bonds, interest payable semi-annually to yield 12%. Interest, is payable on...

$15 million, 10-year, 10% unsecured bonds, interest payable semi-annually to yield 12%. Interest, is payable on January 1.

Instructions:

Prepare Bond Amortization Schedules for the bond using Effective Interest Method.

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Answer #1

Solution:

Computation of bond price
Table values are based on:
n= 20
i= 6.00%
Cash flow Table Value Amount Present Value
Par (Maturity) Value 0.31180 $15,000,000.00 $4,677,071
Interest (Annuity) 11.46992 $750,000.00 $8,602,441
Price of bonds $13,279,512
Bond Amortization Schedule - Effective interest method
Semiannual interest period Interest paid Interest Expense Discount Amortization Unamortized Discount Book value of bonds
End of period
Issue date $1,720,488 $13,279,512
1 $750,000 $796,771 $46,771 $1,673,717 $13,326,283
2 $750,000 $799,577 $49,577 $1,624,140 $13,375,860
3 $750,000 $802,552 $52,552 $1,571,589 $13,428,411
4 $750,000 $805,705 $55,705 $1,515,884 $13,484,116
5 $750,000 $809,047 $59,047 $1,456,837 $13,543,163
6 $750,000 $812,590 $62,590 $1,394,247 $13,605,753
7 $750,000 $816,345 $66,345 $1,327,902 $13,672,098
8 $750,000 $820,326 $70,326 $1,257,576 $13,742,424
9 $750,000 $824,545 $74,545 $1,183,031 $13,816,969
10 $750,000 $829,018 $79,018 $1,104,013 $13,895,987
11 $750,000 $833,759 $83,759 $1,020,253 $13,979,747
12 $750,000 $838,785 $88,785 $931,469 $14,068,531
13 $750,000 $844,112 $94,112 $837,357 $14,162,643
14 $750,000 $849,759 $99,759 $737,598 $14,262,402
15 $750,000 $855,744 $105,744 $631,854 $14,368,146
16 $750,000 $862,089 $112,089 $519,765 $14,480,235
17 $750,000 $868,814 $118,814 $400,951 $14,599,049
18 $750,000 $875,943 $125,943 $275,008 $14,724,992
19 $750,000 $883,499 $133,499 $141,509 $14,858,491
20 $750,000 $891,509 $141,509 $0 $15,000,000
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