You just bought a rent house for $200,000, with $40,000 down and the balance in the form of a 15-year amortization mortgage at a fixed rate of 4.0% and monthly payments. Your principal, interest, property tax, and insurance, plus all costs of maintaining the property, are covered by your rent.

a) How much are your monthly mortgage payments?

b) The University grows, and prices appreciate at the rate of 6% per year. What will the value of the house be in 6 years? What will the outstanding principal of the debt be (assume no extra payments)? What will the value of the equity be?

c) Using CAGR, what is your rate of return on your equity? There was a wealth transfer from lender to borrower, over the first 6 years of the mortgage? Why? Generalize about how wealth transfers can occur between borrowers and lenders.

d) What will be the value of the house be in 15 years? How much will your equity be worth? How much will be your debt?

e) Describe the theories of the term structure of interest rates that explain a normal upward sloping, flat, and downward sloping yield curve. Which type of curve is often (but not always) followed by an economic downturn and stock market correction/crash?