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First Responder Inc. has a debt-to-equity ratio of 1.0, and its beta (leveraged) is 1.2. First Responder Inc. is willing to change its target capital

First Responder Inc. has a debt-to-equity ratio of 1.0, and its beta (leveraged) is 1.2. First Responder Inc. is willing to change its target capital structure to a debt-to-equity ratio of 0. What is its new beta (corporate tax rate is 40%)?

Here is the answer provided:

Formula: = [ + ( )(/)]

=> . = [ + ( . )(. )]

=> = . + ( . )(. ) = . 5

How did they get the D/E ratio of (1.0) if the question asks for a (debt-to-equity) ratio of 0?

Can you please explain each step?

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