A stock has a beta of $1\mathrm{.}45$ and an expected return of $13$ percent. A risk$-$free asset currently earns $4\mathrm{.}0$ percent.

a$.$ What is the expected return on a portfolio that is equally invested in the two assets?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ If a portfolio of the two assets has a beta of $87,$ what are the portfolio weights?

Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,.32.$

c$.$ If a portfolio of the two assets has an expected return of $9$ percent, what is its beta?

Note: Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$

d$.$ If a portfolio of the two assets has a beta of $2\mathrm{.}9,$ what are the portfolio weights?

Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your

answers to the nearest whole number, e$.$g$.,32.$