Question

On February 1, 2021, Cromley Motor Products issued 6% bonds, dated February 1, with a face amount of $65 million. The bonds mPrepare amortization schedules that indicate Barnwells effective interest revenue for each interest period during the term t

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Answer:

Payment
Number
Cash
Payment
Effective
Interest
Increase in
Balance
Outstanding
Balance
$60,624
1 $1,950 $2,424.96 $474.96 $61,099
2 $1,950 $2,443.96 $493.96 $61,593
3 $1,950 $2,463.72 $513.72 $62,107
4 $1,950 $2,484.27 $534.27 $62,641
5 $1,950 $2,505.64 $555.64 $63,197
6 $1,950 $2,527.86 $577.86 $63,774
7 $1,950 $2,550.98 $600.98 $64,375
8 $1,950 $2,575.01 $625.01 $65,000
Total $15,600 $19,976 $4,376

Cash payment = $65,000 x 6% x 6/12 = $1,950

Effective interest = Preceding outstanding balance x 4%

Increase in balance = Effective interest - Cash payment

Outstanding balance = Preceding balance + Increase in balance

Calculations:

Interest payment = $65,000 x 3% = $1,950

Present value of interest payments $13,129
[$1,950 x 6.73274 present value annuity factor (4%, 8 years)]
Present value of face value $47,495
[$65,000 x 0.73069 present value factor (4%, 8 years)]
Issue price $60,624
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