We want to show the relationship between deriving the VFCI and selecting the business cycle shock that maximizes the forecast error variance for unemployment.
Thoughts:
The two are both constructed based off of volatilities / variances of real variables
They both perform maximizations:
The business cycle shock maximizes the forecast error variance of unemployment
The VFCI maximizes the explained portion of consumption growth residual volatility, given asset prices
We want to show the relationship between deriving the VFCI and selecting the business cycle shock that maximizes the forecast error variance for unemployment.
Thoughts: