Your sister's pet supplies business obtained a 30-year amortized mortgage loan for $250,000 at a nominal annual rate of 7.0%, with 360 end-of-month payments. The firm can deduct the interest paid for tax purposes. What will the interest tax deduction be for for the first year of the loan

$17,419.55

Explanation:

To calculate the loan payment we use the formula:

a/ {[(1+r)^n]-1] / [r (1+r)^n]-1}

Where

a= $250,000

n= 360 (i.e 30years * 12months)

r = 0.00583/12 (7% / 12months)

=250000/{[(1+0.00583)^360]-1}/[0.00583(1+0.00583)^360]= $1663.26.

She'll pay $1663.26 in a month.

You'll need to construct an amortization table to get her annual payment.

After using the ammortization table properly her year1 payment will be $17419.55

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