Your mother's well$-$diversified portfolio has an expected return of $12\mathrm{.}0\%$ and a beta of $1\mathrm{.}20.$ She is in the process of buying $100$ shares of Safety Corp. at $$10$ a share and adding it to her portfolio. Safety has an expected return of $18\mathrm{.}0\%$ and a beta of $2\mathrm{.}50.$ The total value of your current portfolio is $$9,000.$ What will the expected return and beta on the portfolio be after the purchase of the Safety stock?

Select the correct answer.

a$.r_p=12\mathrm{.}72\%,b_p=1\mathrm{.}42$

b$.r_p=12\mathrm{.}68\%,b_p=1\mathrm{.}39$

c$.r_p=12\mathrm{.}60\%,b_p=1\mathrm{.}33$

d$.r_p=12\mathrm{.}64\%,b_p=1\mathrm{.}36$

e$.r_p=12\mathrm{.}56\%,b_p=1\mathrm{.}30$