The price of a small cabin is ​$30,000. The bank requires a​ 5% down payment. The buyer is offered two mortgage​ options: 20-year fixed at 10​% or​ 30-year fixed at 10​%. Calculate the amount of interest paid for each option. How much does the buyer save in interest with the​ 20-year option?

Find the monthly payment for the​ 20-year option.

1 answer

P = L[c(1 + c)n]/[(1 + c)n - 1]

Where:
P is monthly payment
L is 30,000 - 5% of 30,000 = ______
n = 20 yrs x 12 months/yr = ______
c = 10%/12 = 0.10/12 = _____

Once you've found the monthly payments, the interest you paid is:
P*n - L

Use a similar process to get the monthly payments and interest for the 30 year option, adjusting n accordingly.
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