1. Mortgages – FPM, VPM

2. Mortgages Borrow $ because property owner wants the money NOW. Put the property up as security for the loan. Mortgage = A loan to finance the purchase of real estate, usually with specified payment periods and interest rates. The borrower (mortgagor) gives the lender (mortgagee) a lien on the property as collateral for the loan.

3. Simple Multi-period FP Model Optimize with respect to h and z.

4. FP Mortgage Eq’m In contrast to more flexible analysis, consumer optimizes w.r.t. discounted average price ratio. Opportunity to save or borrow allows MU of income to converge.

5. Simple Multi-Period VP Model Optimize with respect to h i, c i and z i.

6. Parameters Moving cost = 1

7. FP – Mortgage – No Moves FP – Mortgage – Moves VP – Mortgage – No Moves

8. Comparative Housing

9. Comparative Payments

10. Comparative Income Burdens

11. What are the differences? Compensating variation (take money) = 2.310 Equivalent variation (give money) = 2.060

12. What does it all mean? FPM frontloads payments. VPM evens out payments. Leads to information problems. We can do something with this by requiring people to stay in the house with a pre-payment penalty. Solves the information problem as to who really wants to stay in the house.