Unlevered Beta to Levered Beta

Greetings everyone,

I’m on reading 36 - Cost of Capital, example 13 in the Corporate Finance-Portfolio Management CFAI books.

http://tinypic.com/r/essz04/8

Do you have any idea how the beta is .96 for the first answer?

I understand the formula would be .90/(1+(1-.36)(X)…I’m having a hard time finding what X is.

Thank you very much.

X is D/E ratio and the formula should be .90*(1+D/E(1-t)). In first case D/E is 1/9 as D/(D+E) is .10

hope this helps

Thank you very much,

How did you get 1/9? I’m trying to figure out the others and still receiving different answers from the book.

What would I use for X in the beta 1.28?

D+E=1, So, if D/(D+E) is .1 i.e debt is 10% of total capital then equity ought to be 90%, which mean D/E ratio of 1/9. In fourth scenario, D/(D+E) is .4, i.e E must be .6 So, D/E must be 2/3.

Hope this helps

You helped me out a lot!

Thank you very much!