You will compare 2 different amortization schedules
when buying a car. The purchase price is $17,500.
Bank A requires a 20% down payment and has an annual interest rate
of 3.6%. Bank B wants only 10%
down payment but the annual interest rate is 4.8%. In both banks,
the loan will be paid off in 3 years.
Formulas: A.First you need to set up the formula to find the
monthly payment. Use the PMT function under
FINANCIAL FORMULAS.
B. After calculating the monthly payment, set up the formulas for
the monthly interest, balance reduction,
and loan balance. Finally, calculate the total interest paid on the
loan under the Monthly interest column
and the total under the Balance reduction (Which should match the
loan amount borrowed). Use the
Autosum formula.
C. The first row should use the initial loan amount for the
calculation of the Monthly interest. The second
row should use the Loan Balance. Once you have the formulas for the
second row, drag the arrow down
to fill out all the remaining rows. Remember that in Excel you need
to enter “=” before the formula so it
knows to compute the formula in the cell and doesn’t think it’s
just a heading or label.
D. You may also adjust the number of decimal places by clicking on
the “increase decimals” or “decrease
decimals” tab under NUMBER on the HOME page.
E. Your formulas should only have cell references. The only numbers
you’re allowed to type in are the
Beginning Balances, the interest rates and the years.
F. Lastly, have Excel calculate the total amount paid for the car
if you choose Bank A and Bank B. Make
sure you add the down payment, interest and loan amount.
can you please let me know what equations you use for excel functions
The loan is for the cost of the car - the down payment.
The loan is compounded every month, so, the Annuity(monthly payment) is calculated for every month, which is why the rate of interest is divided by 12 and the number of years is multiplied by 12 in the calculation of annuity(monthly payment) and monthly interest amount.
The monthly payment comprises of two sub parts : The interest on the Loan Balance and the payment towards the principal loan. For example, for the first month, interest is calculated on the entire loan amount. Then the interest amount is deducted from the monthly payment to get the amount payed towards the principal payment. The balance loan(principal) amount is then calculated by deducting the payments made towards principal from the total loan amount.
The answer and the equations are given below:
Formula Page:
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