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.

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Newton9022 Newton9022 · Answer 1 · 2020-03-04T05:48:49+01:00

Answer:

Her Yearly Repayment will be approximately $5771

Explanation:

For an Amortized Loan, to calculate the payment amount per period, we use the formula:

A=[P(1+r)ⁿ]/[(1+r)ⁿ-1]

where A=Payment per period

P= Initial Principal/Loan Amount

r= Interest rate per period

n= number of payments period

From the information provided,

P=$20000

n=4 years

r=6%=0.06

Therefore Yearly Repayment Amount A=[Pr(1+r)ⁿ]/[(1+r)ⁿ-1]

=[20000X0.06(1+0.06)⁴]/[(1+0.06)⁴-1]

=[1200(1.06)⁴]/[(1.06)⁴-1]

=[1200X1.2625]/[1.2625-1]

=1515/0.2625

=$5771.43