Consider three stocks, $x,Y,$ and $Z,$ in the following table. $PO,P1,$ and $P2$ represent prices at time $0,1,$ and $2.$ Q$0,$ Q$1,$ and Q$2$ represent shares outstanding. Stock Z splits two for one in the last period.

$\backslash$table$[[$Stocks$,$P$0,$Q$0,$P$1,$Q$1,$P$2,$Q$2],[$X$,90,100,95,100,95,100],[$Y$,50,200,60,200,45,200],[$Z$,100,200,110,200,55,400]]$

The rate of return on a price$-$weighted index of the three stocks for the first period $($from period $0$ to $1)$ is

$3\mathrm{.}17\%$

$10\mathrm{.}42\%$

$4\mathrm{.}17\%$

$0\%$