Subjects finance math

Loan Interest

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Loan Interest


1. **State the problem:** Calculate the quarterly interest rate and total interest periods for a loan of 25000 with an 8% annual interest rate, a 6-year term, and quarterly payments. 2. **Given data:** - Loan amount $= 25000$ - Annual interest rate $r = 0.08$ - Term $= 6$ years - Payments per year $= 4$ 3. **Calculate quarterly interest rate:** $$\text{Interest per period} = \frac{0.08}{4} = 0.02 = 2\%$$ 4. **Calculate total number of periods:** $$\text{Number of periods} = 6 \times 4 = 24$$ 5. **Summary:** The interest rate per period is 2% per quarter, and the total number of payment periods is 24 quarters. This information can be used further to calculate payments or interest amounts as needed.