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23 votes
A grocery store sales for $522,000 and a 25% down payment is made a 20 year mortgage at 7% is obtain compute and amortization schedule for the first three months round your answer to two Decimal place if necessary

A grocery store sales for $522,000 and a 25% down payment is made a 20 year mortgage-example-1
User Dennis Kriechel
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1 Answer

22 votes
22 votes

The value of the mortgage (the real amount to be financed) is A = $391,500.

The annual interest rate is r = 7%. We must convert it to montly decimal rate:

r = 7 / 12 / 100 = 0.005833

Note: The decimals will be kept in our calculator. Only two decimal places will be shown in the results.

The monthly payment is R = $3,034.13 which includes interest and principal.

For the first month, the loan has not been paid upon, so the interest for this period is:

I = $391,500 * 0.005833 = $2,283.75

From the monthly payment, the portion that goes to pay the principal is:

$3,034.13 - $2,283.75 = $750.38

So the new balance of the loan is:

$391,500 - $750.38 = $390,749.62

Thus, for payment 1:

Interest - Payment on Principal - Balance of Loan

$2,283.75 - $750.38 - $390,749.62

Repeating the calcuations for the second payment:

The interest for this period is:

I = $390,749.62 * 0.005833 = $2,279.37

From the monthly payment, the portion that goes to pay the principal is:

$3,034.13 - $2,279.37 = $754.76

So the new balance of the loan is:

$390,749.62 - $754.76 = 389,994.86

The table is updated as follows:

Interest - Payment on Principal - Balance of Loan

$2,283.75 - $750.38 - $390,749.62

$2,279.37 - $754.76 - $389,994.86

For the third month:

The interest for this period is:

I = $389,994.86 * 0.005833 = $2,274.97

From the monthly payment, the portion that goes to pay the principal is:

$3,034.13 - $2,274.97 = $759.16

So the new balance of the loan is:

$389,994.86 - $759.16 = $389,235.70

The final updated table is:

Interest - Payment on Principal - Balance of Loan

$2,283.75 - $750.38 - $390,749.62

$2,279.37 - $754.76 - $389,994.86

$2,274.97 - $759.16 - $389,235.70

User Agrejus
by
3.0k points
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