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You can afford a $1400 per month mortgage. You've found a 30 year loan at 7% interest. How big of a loan can you afford?

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Answer:

you can afford a loan of $211,204 with a total payment of $504,000 (which is $292,796‬ interest in total).

Explanation:

Deposit, p = $1400

Rate of interest, r = 0.07 ÷ number of months in a year (12) = 0.0058

periods, n = 30 X 12 = 360‬

P = 1400 ( 1 - ( 1 + 0.0058)^- 360) ÷ 0.0058

= 1400 (150.86)

p = $211,204

You will pay a total of $504,000 ($1400 per month for 360 months) to the loan company.

The amount you pay - the amount of the loan is the interest paid. In this case, you’re paying $504,000 - $211,204 = $292,796‬ interest paid in total.

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