Jensen’s Inequality and Banking Collapse

Let’s apply Jensen’s Inequality to the housing market. It concerns default rates on housing loans with the housing prices. When the housing prices are high, the defaults reduce; when the prices are lower, defaults increase but not in the same magnitude. Here is a fictitious plot of % of bank profit vs % change in housing price.

A 7% increase in house price increases the bank’s profit by about 7%, whereas an equivalent decrease in price leads to about a 25% drop in profit!