$(15$ points$)$ Ben and own a house with a market value of $$458,000.$ They presently owe $$254,025\mathrm{.}00$ on their mortgage loan.

a$.$ How much equity do they have in their home?

b$.$ They are considering taking out a home equity loan. A lender offers to make a home equity Joan with up to a $92\%$ LTV$.$ What is the

maximum they could borrow from this lender?

c$.$what would be thietheir equity in the house be if they took out the maximum loan?$(15$ points$)$ Ben and own a house with a market value of $$458,000.$ They presently owe $$254,025\mathrm{.}00$ on their mortgage loan.

a$.$ How much equity do they have in their home?

b$.$ They are considering taking out a home equity loan. A lender offers to make a home equity Joan with up to a $92\%$ LTV$.$ What is the maximum they could borrow from this lender?