The fair replication method is a method designed to value liabilities with an endogenous profit sharing mechanism, i.e. based on the book yield of the backing assets. The basic idea is to construct a hypothetical portfolio, the fair replicating portfolio (FRP), whose cash flows are scenario-invariant. The method is a computationally efficient alternative to traditional stochastic modeling. It may be particularly useful in applications where extensive calculations of best estimate of liabilities are required.