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Alpha Inc. currently finances with 10.0% debt (i.e., wd = 10%), but its new CFO is considering changing the capital structure so wd = 50.0%

Alpha Inc. currently finances with 10.0% debt (i.e., wd = 10%), but its new CFO is considering changing the capital structure so wd = 50.0% by issuing additional bonds and using the proceeds to repurchase and retire 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? Please show work.

Risk-free rate, rRF

3.00%

Tax rate, T

30%

Market risk premium, RPM

5.00%

Current wd

10%

Current beta, bL1

1.15

Target wd

50%

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