Your real estate agent mentions that homes in your price range require a payment of $1,200 per month for 30 years at 0.75% interest per month. What is the size of the mortgage with these terms?

the size of the mortgage with these terms is $149,138.24

Explanation:

The computation of the size of the mortgage is shown below:

Present value of annuity is

=  Monthly payment × {[1 - (1 + rate of interest)^-number of months] ÷ rate of interest}

= $1,200 × {[1 - (1 + 0.0075)^-360] ÷ 0.0075}    

= $1,200 × 124.2819      

= $149,138.24

The 360 is come from

= 30 years × 12 months

= 360 months

hence, the size of the mortgage with these terms is $149,138.24

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