A person borrows $5000 for 3 years, to be repaid in 36 equal monthly installments. The interest rate is 10% per year, compounded continuously. How much money must be repaid at the end of each month?
Calculating [A/P, 10%, 12,36] by (5.6), we have
A/P = \frac{e^r – 1}{1 – e^{-m}} (5.6) \\\\ A = \$5000\frac{e^{0.10/12} – 1}{1 – e^{-0.30}} = \$161.43