Ann would like to buy a house.

It costs $2,500,000.

Her down payment will be $50,000.

She will take out a mortgage for the remainder.

It will be a 30 year, fully amortizing, FRM, with constant monthly payments and monthly compounding.

The annual interest rate is 4.50%.

She will pay $5,000 in closing costs at origination.

She will also pay 1.75% of the balance in buy-down points at origination.

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 (sheet FA AMORTIZATION SCHEDULE) for Ann.

(It is called an amortization schedule or amortization calendar.)

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 graph here.

4.) Plot Anns monthly mortgage payment, interest payment and principal payment in one graph. Place the graph 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 graph 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%