Question

Albert Tilman wishes to buy a house selling for $180,000. His credit union requires him to make a 20% downpayment. The current mortgage rate is 11.0% Find the required down payment and the total monthly payment fora 25-year loan

Answer 1

The current mortgage rate is 11%

the total value of mortgage is:

`\begin{gathered} 180000+11\text{ perstnage of 180000} \\ 180000+19800 \\ =199800 \end{gathered}`

Required down payment is 20% then:

20% of 199800

`\begin{gathered} (20)/(100)*199800 \\ =39960 \end{gathered}`

Total monthly payment for 25 year

`\text{monthly payment=}\frac{total\text{ value-required down payment}}{\text{time (in month)}}`

So the value of monthly payment is:

`\begin{gathered} \text{monthly payment}=(199800-39960)/(25*12) \\ =(159840)/(300) \\ =532.8 \end{gathered}`

The required down payment is 39960 and monthly payment is 532.8.