[Requires appendix.] Suppose you buy a home for \(\$ 400,000\) with a \(\$
100,000\) down payment and finance the rest with a home mortgage.
a. Immediately after purchasing your home, before any change in price, what is
the value of your equity in the home?
b. Immediately after purchasing your home, before any change in price, what is
your simple leverage ratio on your investment in the home?
c. Now suppose that over the next three years, the price of your home has
increased to \(\$ 500,000 .\) Assuming you have not borrowed any additional
funds using the home as collateral, but you still owe the entire mortgage
amount, what is the new value of your equity in the home? Your new simple
leverage ratio?
d. Evaluate the following statement: "An increase in the value of a home, with
no additional borrowing, increases the degree of leverage on the investment in
the home." True or false? Explain.