question archive How much will you pay on a 25 year, $400,000 mortgage if you make monthly payment at the beginning of month? Interest is 3

How much will you pay on a 25 year, $400,000 mortgage if you make monthly payment at the beginning of month? Interest is 3

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How much will you pay on a 25 year, $400,000 mortgage if you make monthly payment at the beginning of month? Interest is 3.5% compounded annually

Multiple Choice

$1.985

$1991

$1,973

$1968

$1979 

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Answer:

Interest rate per month = ( 1 + 0.035 )1/12 - 1 = 0.00287 = 0.287%

Now Amount Financed = $400,000

Total Payments in 25 Years = 25 * 12 = 300

Now as payment in the beginning of the month

$400,000 = X * [ 1 + PVAF ( 0.287% , n - 1 )

$400,000 = X * [ 1 + PVAF ( 0.287% , 299 ) ]

$400,000 = X * [ 1 + 200.5312 ]

X = $400,000 / 201.5312

X = $1,985

Therefore Correct Answer is (a)