A video on the consumption-based model - CCAPM

CCAPM is different from the traditional CAPM. Here is the 'root' formula of the consumption-based model of asset pricing:
                                                              
                               p = E(m x) = E(x* x) = <x*, x>

where
                p   - the asset price
                m  - stochastic discount factor
                x   - payoff
                x* - the unique discount factor in the payoff space X.

This video explains it in details.