On November 1, 2025, Apex Finance Corp. advanced a $500,000, 9% commercial loan to Vertex Manufacturing. Apex distributed cash proceeds of $488,000 to the borrower after deducting a $12,000 nonrefundable loan origination fee from the total principal amount. Principal and interest are contractually due in 48 monthly installments of $12,435 beginning December 1, 2025. These repayments yield an effective annualized interest rate of 9.0% at a present value of $500,000, and 10.2% at a net present value of $488,000. Apex Finance Corp. prepares its financial statements on an annual calendar basis.
**Financial Data:**
• Nominal Face Value of Loan: $500,000
• Upfront Fee Collected (Deducted): $12,000
• Initial Carrying Value (Net Proceeds Paid): $488,000
• Contractual Annual Stated Rate: 9.0%
• Effective Annualized Interest Rate: 10.2%
• Loan Commencement Date: November 1, 2025
• First Installment Date: December 1, 2025
What total amount of interest income from this financing arrangement should Apex Finance Corp. report in its income statement for the two-month period ended December 31, 2025?
❓ WHY OPTIONS ARE CORRECT/INCORRECT:
✅ Option 1 (Correct): $8,230 is the correct total interest income for the period. Under US GAAP (ASC 310-20), nonrefundable loan origination fees received by a lender must be deferred and recognized as an adjustment to the loan's yield over the life of the loan using the effective interest method. The initial carrying value is the net cash advanced ($500,000 - $12,000 = $488,000), and the effective rate of 10.2% must be applied.
For November 2025: Income = $488,000 x 10.2% x 1/12 = $4,148. The carrying value is then adjusted by the payment: New Carrying Value on Dec 1 = Initial Value + Interest - First Payment = $488,000 + $4,148 - $12,435 = $479,713.
For December 2025: Income = $479,713 x 10.2% x 1/12 = $4,078.
Total Income for 2025 = $4,148 + $4,078 = $8,230.
❌ Option 2 (Incorrect): $7,500 is incorrect because it reflects the simple stated contractual interest rate applied to the $500,000 face value for two months ($500,000 x 9% x 2/12 = $7,500), failing to incorporate the effective interest method or the amortization of the origination fee.
❌ Option 3 (Incorrect): $19,500 is incorrect because it adds the raw $12,000 upfront fee directly to the stated interest of $7,500, recognizing the entire upfront fee as immediate income upon loan origination, which violates GAAP accrual guidelines.
❌ Option 4 (Incorrect): $4,148 is incorrect because it represents only the interest income recognized for the single month of November 2025 rather than the total accumulated amount for both November and December 2025.
📊 SUMMARY CALCULATIONS:
- Initial Net Proceeds (1/1/2025): $500,000 - $12,000 = $488,000
- Month 1 (Nov) Interest Revenue: $488,000 x 10.2% x (1/12) = $4,148
- Principal Reductions/Adjustments on Dec 1: $488,000 + $4,148 - $12,435 = $479,713
- Month 2 (Dec) Interest Revenue: $479,713 x 10.2% x (1/12) = $4,078
- Total Recognized Income: $4,148 + $4,078 = $8,230
❓ WHY OPTIONS ARE CORRECT/INCORRECT:
✅ Option 1 (Correct): $8,230 is the correct total interest income for the period. Under US GAAP (ASC 310-20), nonrefundable loan origination fees received by a lender must be deferred and recognized as an adjustment to the loan's yield over the life of the loan using the effective interest method. The initial carrying value is the net cash advanced ($500,000 - $12,000 = $488,000), and the effective rate of 10.2% must be applied.
For November 2025: Income = $488,000 x 10.2% x 1/12 = $4,148. The carrying value is then adjusted by the payment: New Carrying Value on Dec 1 = Initial Value + Interest - First Payment = $488,000 + $4,148 - $12,435 = $479,713.
For December 2025: Income = $479,713 x 10.2% x 1/12 = $4,078.
Total Income for 2025 = $4,148 + $4,078 = $8,230.
❌ Option 2 (Incorrect): $7,500 is incorrect because it reflects the simple stated contractual interest rate applied to the $500,000 face value for two months ($500,000 x 9% x 2/12 = $7,500), failing to incorporate the effective interest method or the amortization of the origination fee.
❌ Option 3 (Incorrect): $19,500 is incorrect because it adds the raw $12,000 upfront fee directly to the stated interest of $7,500, recognizing the entire upfront fee as immediate income upon loan origination, which violates GAAP accrual guidelines.
❌ Option 4 (Incorrect): $4,148 is incorrect because it represents only the interest income recognized for the single month of November 2025 rather than the total accumulated amount for both November and December 2025.
📊 SUMMARY CALCULATIONS:
- Initial Net Proceeds (1/1/2025): $500,000 - $12,000 = $488,000
- Month 1 (Nov) Interest Revenue: $488,000 x 10.2% x (1/12) = $4,148
- Principal Reductions/Adjustments on Dec 1: $488,000 + $4,148 - $12,435 = $479,713
- Month 2 (Dec) Interest Revenue: $479,713 x 10.2% x (1/12) = $4,078
- Total Recognized Income: $4,148 + $4,078 = $8,230