A student takes out a loan of $2,100 at the beginning of each semester (semi-annually) for 7 semesters to pay for college. The loan charges 5% interest compounded semiannually. The student graduates after the 7 semesters and refinances the loan to a lower 4.3% rate compounded monthly with monthly payments (made at the end of each month) for 120 months. Find the monthly payment and the total interest paid. The monthly payment is ___ The total amount of interest paid is ___
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The formula for the future value of an annuity compounded at each period is: \[ FV = P \times \frac{(1 + r)^n - 1}{r} \] Where: - \( P = 2100 \) (the amount borrowed each semester) - \( r = 0.05/2 = 0.025 \) (the semiannual interest rate) - \( n = 7 \) (the Show more…
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