FinanceRound dollar amounts to the nearest cent.

Round percentages to the nearest basis point. Enter $7\mathrm{.}5\%$ as $7\mathrm{.}5$ in CANVAS, not as $\mathrm{.}075.$

Q$1$:

Suppose a home is sold in foreclosure and the net foreclosure auction price is $$800,000.$ The remaining loan balance is $$875,000.$ How much is the deficiency? $($Note: write the answer as a positive number.$)$

Q$2$:

Suppose Ann earns $$120,000$ per year and she wants to get a mortgage with a $28\%$ maximum front$-$end DTI. What is the biggest monthly housing expense she can have?

Q$3$:

Suppose Ann wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $7\%$ annual interest rate, compounded monthly, with monthly payments. What is the monthly payment for this mortgage?

Q$4$:

Suppose Ann wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $7\%$ annual interest rate, compounded monthly, with monthly payments. How much interest will Ann pay over the life of the loan? $($Hint: compute the total amount Ann will pay the lender, then subtract the principal.$)$

Q$5$:

Suppose Ann wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $3\mathrm{.}5\%$ annual interest rate, compounded monthly, with monthly payments. What is the monthly payment for this mortgage?

Q$6$:

Suppose Ann wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $3\mathrm{.}5\%$ annual interest rate, compounded monthly, with monthly payments. How much interest will Ann pay over the life of the loan? $($Hint: compute the total amount Ann will pay the lender, then subtract the principal.$)$

Q$7$:

Suppose Ann wants to get a partially amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $7\%$ annual interest rate, compounded monthly, with monthly payments, and with a $$500,000$ balloon. What is the monthly payment for this mortgage?

Q$8$:

Suppose Ann decides she can comfortably afford to pay $$3,000$ per month for a mortgage. Suppose she

wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, at a $7\%$ annual interest rate, compounded monthly, with monthly payments. How big of a loan can she get?

Q$9$:

Suppose Ann wants to get a fully amortizing, $15-$year Fixed Rate Mortgage, for $$1,000,000$ at a $7\%$ annual interest rate, compounded monthly, with monthly payments. What is the monthly payment for this mortgage?

Q$10$:

Suppose Ann wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $7\%$ annual interest rate, compounded monthly, with monthly payments. What is her remaining balance after $50$ months of payments? Q$11$:

Suppose Ann wants to get a fully amortizing, $30-$year Fixed Rate Mortgage, for $$1,000,000$ at a $7\%$ annual interest rate, compounded monthly, with monthly payments. Suppose this loan has fees equal to $3\%$ of the loan amount. What is the APR of this loan?