You want to buy a $258,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest.
a) How much is the loan amount going to?
b) What will your monthly payments be if the interest rate is
6%?
c) What will your monthly payments be if the interest rate is
7%?
a) Loan amount = Value of House - Down payment
Loan Amount = $258,000 - ($258,000 * 10%) = $258,000 - $25,800 = $232,200 --> Loan amount
b) Interest rate = 6%
This calculation requires application of PV of annuity.
r = 6% (annual) --> 6%/12 = 0.5% (monthly);
n = 12 * 30 months = 360 months
232,200 = P * 166.792 (Calculate values with calculator to have greater precision)
P = $1,390.56
c) Interest rate = 7%
r = 7% (annual) --> 7%/12 = 0.583% (monthly);
n = 12 * 30 months = 360 months
232,200 = P * 150.3683 (Calculate values with calculator to have greater precision)
P = $1,543.5
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