Answer
The required rate of return on UT stock is 12%
Explanation
[tex]r_{f}[/tex] = Risk-free rate = 6%
[tex]r_{m}[/tex] = Market return = 10%
β [tex]_{ut}[/tex] = 1.5
[tex]r_{ut}[/tex] = ??
[tex]r_{ut}[/tex] = [tex]r_{f}[/tex] + β [tex]_{ut}[/tex] ( [tex]r_{m}[/tex] - [tex]r_{f}[/tex] )
[tex]r_{ut}[/tex] = 6 + 1.5 ( 10 - 6)
[tex]r_{ut}[/tex] = 12%
The required rate of return on UT stock is 12%