Find the total payments if the loan is $175,000 compounded at 6.24% for 30 years?Group of answer choices$387,493.20$399,499.99$337,792.19$391252.46
Question
Find the total payments if the loan is $175,000 compounded at 6.24% for 30 years?
Group of answer choices
- $387,493.20
- $399,499.99
- $337,792.19
- $391,252.46
Solution
To find the total payments for a loan, we can use the formula for the total payment of a loan, which is:
Total Payment = P * (r(1 + r)^n) / ((1 + r)^n - 1)
where: P = principal amount (the loan amount) r = monthly interest rate n = number of payments (months)
Given: P = $175,000 Annual interest rate = 6.24% (But we need the monthly interest rate, so we divide by 12. Also, we need to convert the percentage to a decimal, so we divide by 100) r = 6.24/(12100) = 0.0052 n = 30 years (But we need this in months, so we multiply by 12) n = 3012 = 360 months
Substituting these values into the formula:
Total Payment = 175000 * (0.0052(1 + 0.0052)^360) / ((1 + 0.0052)^360 - 1)
Calculating this gives us a monthly payment of approximately $1079.19.
To find the total payments over 30 years, we multiply the monthly payment by the number of months:
Total Payment = 388,908.40
So, the total payment over 30 years would be approximately $388,908.40. This option is not given in your choices. Please check the values or the options again.
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