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The Hills obtain a​ 30-year, $144,000 conventional mortgage at a​ 4.5% rate on a house selling for​ $180,000. Their monthly mortgage​ payment, including principal and​ interest, is​ $729.63. They also pay 2 points at closing. Determine the total amount the Hills will pay for their house over 30 years.

Respuesta :

Solution and Explanation:

The total amount repaid by the Hills towards their 30 year $144,000 conventional mortgage at 4.5 % is [tex]12 * 30 * \$ 729.63=\$ 262666.80[/tex]

Additionally, the Hills also pay 2 points at closing. Since 2 mortgage points are equivalent to 2 % of the mortgage amount i.e. [tex](2 / 100) * \$ 144000=\$ 2880[/tex]hence the total amount repaid by the Hills is [tex]\$ 262666.80+\$ 2880=\$ 265546.80[/tex]

Thus the total amount that the Hills will pay for their house over 30 years is [tex]\$ 265546.80-\$ 144000=\$ 121546.80[/tex].

Answer:

301,546.80

Explanation:

The​ Hill's pay a down payment of ​$180,000 ​- $144,000= ​$36,000, ​

$144,000 x ​(0.02)​= $2880 in​ points, and ​$729.63 x ​(12)​ x (30) = ​$262,666.80 in monthly payments.

​$36,000 + ​$2880 + ​$262,666.80​= $301,546.80