You have been managing a $$900,000$ portfolio that has a beta of $1\mathrm{.}50$ and a required rate of return of $15\%.$ The current risk$-$free rate is $3\mathrm{.}00\%.$ Assume that you receive another $$100,000.$ If you invest the money in a stock with a beta of $0\mathrm{.}30,$ what will be the required return on your million dollar portfolio?

$14\mathrm{.}742\%$

$13\mathrm{.}338\%$

$12\mathrm{.}636\%$

$15\mathrm{.}444\%$

$14\mathrm{.}040\%$