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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