$14.$ Loan amortization and capital recovery

After Shipra got a job, the first thing she bought was a new car. She took out an amortized loan for $$20,000$with no $($$$0)$ down payment. She agreed to pay off the loan by making annual payments for the next four years at the end of each year. Her bank is charging her an interest rate of $6\%$ per year. Yesterday, she called to ask that you help her compute the annual payments necessary to repay her loan.

Calculate the annual payment and complete the following loan amortization table:

Year

Beginning Amount

Payment

Interest Paid

Principal Paid

Ending Balance

$1$ $$20,000\mathrm{.}00$

$2$

$3$

$4$ $$0\mathrm{.}00$