Sam bought a house that costs $500,000. Sam got a 95% LTV
loan. The lender demanded that Sam buy private mortgage insurance
to insure the portion of the loan over 75% LTV. Suppose 5 years
later, Sam’s mortgage balance is $400,000. However Sam defaults and
his house sells for $220,000 in a foreclosure auction. How much
will the mortgage insurance company pay Sam’s
lender?