Question

In: Finance

Consider a 4-year amortizing loan. You borrow $2,900 initially and repay it in four equal annual...

Consider a 4-year amortizing loan. You borrow $2,900 initially and repay it in four equal annual year-end payments.

a. If the interest rate is 9%, what is the annual payment? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

b. Prepare an amortization schedule. (Do not round intermediate calculations.

Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)

Solutions

Expert Solution

a) We are given the following information:

Payment PMT To be calculated
Rate of interest r 9.00%
Number of years n 4.00
Annual frequency 1.00
Loan amount PV 2900.00

We need to solve the following equation to arrive at the required PV

So the annual payment is 895.14

b) Amortization schedule is as follows:

Year Opening Balance PMT Interest Principal repayment Closing Balance
1 $              2,900.00 $      895.14 $ 261.00 $                         634.14 $           2,265.86
2 $              2,265.86 $      895.14 $ 203.93 $                         691.21 $           1,574.65
3 $              1,574.65 $      895.14 $ 141.72 $                         753.42 $               821.23
4 $                  821.23 $      895.14 $     73.91 $                         821.23 $                    0.00
$ 3,580.56 $ 680.56 $                     2,900.00

Opening balance = previous year's closing balance
Closing balance = Opening balance-Principal repayment
PMT is calculated as per the above formula
Interest = 0.09 x opening balance
Principal repayment = PMT - Interest


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