A few years ago, Michael purchased a home for $380,000. Today the home is worth $336,000. His remaining mortgage balance is $142,000. Assuming Michael can borrow up to 80 percent of the market value of his home, what is the maximum amount he can borrow?

Respuesta :

Answer:

The maximum amount he can borrow is $126,800.

Explanation:

Given:

Michael purchased a home for $380,000.

Market value of home = $336,000.

Current mortgage balance = $142,000.

Rate of borrowing at the market value = 80%.

Now, to find the maximum of amount Michael can borrow.

So, we find first the maximum mortgage amount:

Maximum mortgage amount = 80% of market value.

                                               [tex]=\frac{80}{100}\times 336,000[/tex]

                                               [tex]=0.80\times 336,000[/tex]

                                               [tex]=\$268,800.[/tex]

As, he still owes $142,000 mortgage in his home.

Now, to get the maximum amount he can borrow we use formula:

Maximum amount he can borrow = Maximum mortgage amount - Current mortgage balance.

Maximum amount he can borrow [tex]=\$268,800-\$142,000[/tex]

Maximum amount he can borrow [tex]=\$126,800.[/tex]

Therefore, the maximum amount he can borrow is $126,800.