Replicating portfolio in a binomial market (source code)

= Replicating portfolio in a binomial market

For one-period successor claim values $V_u,V_d$ and stock prices $S_u,S_d$, the replicating stock holding is
$$
\Delta=\frac{V_u-V_d}{S_u-S_d}.
$$
The remaining value is placed in the risk-free asset. In a complete binomial market, backward replication determines the unique no-arbitrage claim price.