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An accretive/dilutive question with a twist

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Supposed a company is being traded at 10 times its earnings.
It is trying to sell a part of its business that is being traded at 20 times its earnings.
Will this be an accretive or dilutive deal?

I said accretive because after the sale, you are left with cheaper part of the business = lower PE ratio = higher EPS => Accretive.

What do you think?


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