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A $50,000, 5% loan is repaid in equal annual installments of $11,549. The year-1 payment includes $2,500 interest. What principal balance remains after the first payment?
A$40,951
B$47,500
C$38,451
D$31,450
Answer & Solution
Correct answer: A. $40,951
1. The principal reduction is the payment minus the interest portion.
2. Reduction: \$11{,}549 - \$2{,}500 = \$9{,}049.
3. Remaining balance: \$50{,}000 - \$9{,}049 = \$40{,}951.
4. Option D ($31,450) is the balance after the second payment, not the first.
_Source: Jonick, Principles of Financial Accounting (CC BY-SA 4.0), §5.3 "Long-Term Note Payable", p.218_