Stocks ABC,$QRS,$ and $xYZ$ have stock prices at the end of day $0$ of $$34,$$$61,$ and $$86,$ respectively. At the end of day $0,$ their shares outstanding $($in millions$)$ are $750,575,$ and $450,$ respectively. Before trading begins on day $2,$ Stock XYZ does a three$-$for$-$one stock split. At the end of day $2,$ Stocks ABC,$QRS,$ and $xYZ$ have stock prices of $$37,$$$59,$ and $$30.$ What is the return on a value$-$weighted index over this two$-$day period $($i$.$e$.,$ from $t=0$ to $t=2?$

$($Be careful to consider whether you need to incorporate the stock split in your calculations$).$

$2\mathrm{.}65\%$

$2\mathrm{.}92\%$

$3\mathrm{.}09\%$

$3\mathrm{.}69\%$