A transaction has net cashflows of $\displaystyle C_0,C_1,C_2,...C_n,$ and $\displaystyle i_0$ is a yield rate for this transaction. Suppose now that the cashflows are "indexed to inflation" at periodic rate $\displaystyle r$, so that the transaction is modified to $\displaystyle C'_0=C_0, C'_1=C_1(1+r), C'_2=C_2(1+r)^2,..., C'_n=C_n(1+r)^n $. Show that $\displaystyle i'_0=(1+r)*i_0+r$ is a yield rate for the new transaction.

This is one of the questions for an assignment I have, however I have no idea how to solve this. Any help is greatly appreciated.