Thread: mortgage

Paula has bought a condo and requires a mortgage of $95,000. A trust company offers her a 20yr mortgage at 4.72%/a compounded semi-annually. The equivalent monthly rate is determined to be 0.003895204.

Q. a) Calculate the monthly payment.
b) Calculate the total interest paid on this mortgage.

a) I figure to use the formula:



I then rearrange the formula:



Now I plugged in the numbers into formula:



=$6013.68 per month

You seem a bit confused on the units of time.

is the annual nominal interest rate. 20 is the number of years for the loan.

is the semi-annual effective interest rate. 40 is the number of half-years for the loan.

is the monthly effective interest rate. 240 is the number of months for the loan.