Question

How much TOTAL (principle and interest) will be paid over the life of the following loan: $185,000 loan; 7% annual interest (monthly payments); 30 years?

Answer 1

Answer:

$443,091.5

Explanation:

Given that,

Amount of loan, present value = $185,000

Annual rate of interest, r = 7% ÷ 12

                                         = 0.00583

Time period = 30 years

Therefore,

Monthly payments:

$=\frac{r\times PV}{[1 - (1+r)^{-n}]}$

$=\frac{0.00583\times 185,000}{[1 - (1+0.00583)^{-30\times12}]}$

$=\frac{1,078.55}{[1 - (1.00583)^{-360}]}$

= 1230.81

Total (principle and interest) will be paid over the life:

= Monthly payments × 360

= $1,230.81 × 360

= $443,091.5