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How can you calculate mortgages?

Updated: 9/20/2023
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12y ago

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The easiest way to calculate a mortgage is to look up nearly any lending site and use their easy calculating tool online. The basic formula is: M = P [ i(1 + i)n ] / [ (1 + i)n - 1]To do this you will need a mortgage calculator:M = monthly paymenti = interestAn example could be $100,000 mortgage at 5% compounded interest per month for 15 years, we solve i as:i = 0.05 / 12 = 0.004167 and n as 12 x 15 = to equal 180 monthly payments.Next we solve for (1 + i)n = (1.004167)180 using the xy key on the calculator, which = 2.11383Now we have M = P [ i(2.11383)] / [ 2.11383- 1] or M = P [.004167 x 2.11383] / 1.11383 or M = $100,000 x 0.00790 = $790.81 per month.

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