Dye Industries currently uses no debt, but its new CFO is considering changing the capital structure to $69\mathrm{.}5\%$ debt $($wd$)$ by issuing bonds and using the proceeds to repurchase and retire some common shares so the percentage of common equity in the capital structure $($wc$)=1$ wd$.$ Given the data shown below, by how much would this recapitalization change the firm's cost of equity, i$.$e$.,$ what is rL $-$ rU$?$ Do not round your intermediate calculations.

Risk$-$free rate, rRF

$5\mathrm{.}50\%$

Tax rate, T

$25\%$

Market risk prem, RPM

$4\mathrm{.}00\%$

Current wd

$0\%$

Current beta, bU

$1\mathrm{.}40$

Target wd

$69\mathrm{.}5\%$

$$

a$.$

$6\mathrm{.}70\%$

b$.$

$9\mathrm{.}57\%$

c$.$

$8\mathrm{.}13\%$

d$.$

$7\mathrm{.}18\%$

e$.$

$8\mathrm{.}61\%$