Suppose you have just purchased your first home for $300,000. At the time of purchase you could afford to commit 20% of the purchase price to a down-payment. Suppose over time you paid down the principal of the loan to $220,000 and at that point in time you can no longer make any mortgage payments (i.e., you default on the loan). If the lender were to foreclose on your property and sell it for $190,000, determine the amount of the loans principal that the lender was unable to recover due to the default.

Suppose you have just purchased your first home for $300,000. At the time of purchase you could only afford to commit to a down-payment of $15,000. In order to make the loan, the lender requires you to obtain private mortgage insurance (PMI) on their behalf. Suppose over time you paid down the principal of the loan to $280,000 and at that point in time you can no longer make any mortgage payments (i.e., you default on the loan). If the lender were to foreclose on your property and sell it for $228,000, what would the lenders loss of principal be taking into consideration the protection of mortgage insurance? (Lets assume that the PMI in this case covers the top 30% of the loan)