M&A Valuation: Company Sale & Share Buyback

Hello everybody!

Maybe somebody could help me with the following question. Let's imagine the situation: the public holding company A sells a part of its business (company B) for a certain amount of money to another company C. The company A uses the proceeds from the sale of the company B to repurchase its own shares. What happens with the share price of the company A? How to calculate accretion/ dilution in this case?

For instance we have the company A with the following information before the deal:
- 10,000k shares outstanding
- EBT of $ 5,000k
- taxes of 30% >>>> so net income is $ 3,500k
- book value of share capital of $ 100,000k

The part of the business the company A is selling (company B) has EBT of $ 500k, so net income with 30% taxation is $ 350k; the book value of share capital in the Company B is 400k.

It sells the company B for $ 3,000k - this amount is completely used for share buyback.

The market price of shares in the company A before the deal is 30$.

Will it be correct to do the following:

• firstly calculate the net income of the "new entity" as $3,500k-$350k=$3,150k
• calculate number of shares repurchased as $3,000k/$30=100k shares repurchased
• calculate new number of shares in the new entity as 10,000k-100k=9,900k
• identify EPS before the deal as $3,500k/10,000k=0.35
• calculate EPS after the deal and share repurchase as $3,150k/9,900k=0.318

If this is correct, what does decrease in EPS shows here?

What happens with book value per share? What happens with market price of the Company A?

How to calculate whether there is accretion or dilution?

Thank you for your help on clarifying this and your thoughts!!!