As a mutual fund manager, you are managing a $$1$ million mutual fund which reports a $1\mathrm{.}6$ beta and a $14\%$ return. The current risk$-$free rate is $6\%.$ If an investor invests additional $$200,000$ in your fund and you use the money to purchase a stock that has a $0\mathrm{.}6$ beta and a $9\%$ return, what is the beta of your new $$1\mathrm{.}2$ million fund?

A$.1\mathrm{.}38$

B$.1\mathrm{.}26$

C$.1\mathrm{.}71$

D$.1\mathrm{.}43$