Asher Investment Fund, a diversified investment entity, currently has a total capital of R$100000$ allocated across three distinct shares. The returns on these shares vary, reflecting the different risk profiles and market positions of each investment. The fund's capital is distributed as follows:

Shares

Return

Invested

A

$14,5\%$

R$60000$

B

$9,2\%$

R$25000$

C

$15,4\%$

R$15000$

The current risk$-$free rate stands at $5\%,$ and market returns for the upcoming period have been estimated based on the following probability distribution:

Probability

Market return

$0,25$

$10\%$

$0,35$

$12\%$

$0,30$

$13\%$

$0,10$

$16\%$

What is the beta coefficient of the investment fund?

$1.$

$0,85$

$2.$

$1,13$

$3.$

$1,15$

$4.$

$1,30$