Question
CAN SOMEONE PLEASE PLEASE HELP ME WITH THIS Ann would like to buy a house. It costs $800,000. Her down payment will be $40,000. She
CAN SOMEONE PLEASE PLEASE HELP ME WITH THIS
Ann would like to buy a house.
It costs $800,000.
Her down payment will be $40,000.
She will take out a mortgage for $760,000.
It will be a 30 year, fully amortizing, FRM, with constant monthly payments and monthly compounding.
The annual interest rate is 4.00%.
She must pay 2.5% in fees at the time of the loan.
Note: the home is bought and the loan is taken in month 0, the first payment is due in month 1.
In the spreadsheet where it says cash inflow, outflow and net cash flow you should only take into account cash flow related to the mortgage.
1. Fill in the spreadsheet for Ann. (It is called an amortization schedule.)
2. Compute Anns annualized IRR for the mortgage in the spreadsheet. (Use the net cash flow.)
(2.a) What is the annualized IRR for the mortgage?
(2.b) Is it higher or lower than the mortgage contract rate?
(2.c) Why?
3. Plot Anns mortgage balance in one graph. Place the figure here.
4. Plot Anns monthly mortgage payment, interest payment and principal payment in one graph. Place the figure here.
She forecasts four possible scenarios for house price appreciation (HPA).
Optimistic Case: 4.5% annual HPA, hence 4.5/12% monthly HPA
Base Case: 2.5% annual HPA, hence 2.5/12% monthly HPA
Pessimistic Case: 0% annual HPA, hence 0/12% monthly HPA
Very Bad Case: -6% annual HPA, hence -6/12% monthly HPA
5. Plot Anns home equity every month under each of the four HPA scenarios in one graph. Place the figure here.
6. Assume Ann will make the required monthly payment every month for 30 years.
(6.a) How much home equity will Ann have after 10 years (120 months) of payments under each of the four scenarios?
(6.b) After 30 years?
Scenario :
HPA
Home Equity in 10 years
Home Equity in 30 years
Optimistic
4.50%
Base
2.50%
Pessimistic
0.00%
Very Bad
-6.00%
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