Currently, Bloom Flowers Inc. has a capital structure consisting of $20\%$ debt and $80\%$ equity. Bloom$$s debt currently has an $6\mathrm{.}1\%$ yield to maturity. The risk$-$free rate $($rRF$)$ is $2\mathrm{.}9\%,$ and the market risk premium $($rM $$ rRF$)$ is $7\mathrm{.}3\%.$ Using the CAPM, Bloom estimates that its cost of equity is currently $13\mathrm{.}9\%.$ The company has a $28\%$ tax rate.

What would Bloom$$s beta be if the company had no debt in its capital structure? $($That is$,$ what is Bloom$$s unlevered beta, bU$?)$