You hold a diversified $$100,000$ portfolio consisting of $20$ stocks with $$5,000$ invested in each. The portfolio's beta is $1\mathrm{.}12.$ You plan to sell a stock with $b=0\mathrm{.}90$ and use the proceeds to buy a new stock with $b=2\mathrm{.}50.$ What will the portfolio's new beta be$?$ Do not round your intermediate calculations.

$1\mathrm{.}032$

$1\mathrm{.}260$

$1\mathrm{.}476$

$1\mathrm{.}200$

$1\mathrm{.}236$