what would the monthly payments be for a 30 year, $500,000 loan (paid off by making equal payments each month for the next 30 years, such as with a home loan) at a) 5% yearly interest and b) 10% yearly interest?

Respuesta :

For a $500,000 loan with a 30-year term, the monthly payments will be $3,472.23 and $5,556 respectively.

Describe a loan.

A loan is when a sum of money is given to another party in exchange for the principal or value being repaid at a later time. Frequently, the lender raises the principal amount by including interest or finance charges, which the borrower must pay on top of the principal amount.

Calculations:

a) For 5%

A = 500000(1 + (0.05 × 30)) = 1250000

A = $1,250,000.00

Simple interest at a rate of 5% per year for 30 years on a principal of $500,000 accrued a total of $1,250,000.00 in principal and interest.

Your monthly payment would be $1,250,000 divided by 360 (30 years is equal to 360 months).

It'll cost $3,472.23.

b) For 10%

A = $2,000,000.00

I = A - P = $1,500,000.00

A = P(1 + rt)

First, convert R percent to r a decimal: r = R/100 = 10%/100 = 0.1 per year.

Getting the answer to our equation

A = 500000(1 + (0.1 × 30)) = 2000000 \sA = $2,000,000.00

$2,000,000.00 is the total amount accrued from simple interest on a principal of $500,000.00 at a rate of 10% per year for 30 years, including both principal and interest.

It will cost $5,556 in monthly payments.

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