In: Finance
Consider a 30-year mortgage with an interest rate of 10%
compounded monthly and a monthly payment
of $850.
(5) What is the total amount of interest paid during the 30
years?
(6) What is the unpaid balance after 25 years?
(7) How much has to be deposited into a savings account with an
interest rate of 4% compounded
quarterly in order to pay the unpaid balance of the mortgage after
25 years?
(8) How much has to be deposited each quarter year in a fund with
an interest rate of 8% compounded
quarterly in order to cover the unpaid balance after 25 years?
Original loan | $96,858.20 | |
5 |
Interest paid = Number of payments *Payment - Originalamount |
$209,141.80 |
6 | Principal paid after 25 years | -56852.6333 |
Balance unpaid | $40,005.56 | |
7 | Amount to deposit in savings | $234.66 |
8 | Amount to deposit in fund | $128.13 |
Workings