In: Finance
M&A EPS Illusion
This question illustrates what is known as the M&A earnings-per-share illusion: an M&A deal has the ability to boost a firm's EPS. This effect was highly exploited over the 2nd-M&A wave to lure those dealmakers who were assessing M&A deals' success based on EPS.
Information
Your company has EPS of 1, 1 million of shares outstanding and a price per share of $25. You are thinking of buying T Corporation (T Co.), which has EPS of 1, 0.1 million of shares outstanding and a price per share of $10. You will pay for T Co. by issuing new shares of your company. Assume that there are no expected synergies from this takeover and you will pay a 40% premium (pi=1.4).
Use this information to complete the following calculations that yield the "new EPS" of your company after the takeover. Express your answers using 3 decimal places.
Verify that the post-takeover EPS is larger than the pre-takeover EPS of your company.
From the question, we know the following:
Present shares outstanding for company = 1 million
EPS for company = 1
Current price of share of company = $25
Shares outstanding of T Co. = 0.1 million
EPS of T Co. = 1
Share price of T Co. = $10
We also know that:
Total earnings = No. of shares outstanding * EPS
So, total earnings of company = 1 million * 1 = $ 1 million
Total earnings of T Co. = 0.1 million * 1 = $ 0.1 million
Now, to calculate total number of new shares to be issued:
Value of total shares of T Co. = Shares outstanding * Price per share
Value of T Co. = 0.1 million * 10 = $ 1 million
Total premium to be paid = 40%
Total value to be paid by company to T Co. = $ 1 million * 1.4 = $ 1.4 million
Total new shares to be issued = Value to be paid / Market price per share
= 1.4 million / 25 = 0.056 million
Total number of shares outstanding after takeover = 1 million + 0.056 million = 1.056 million
Total earning after takeover = total earnings of company + total earnings of T Co.
= 1 million + 0.1 million = $ 1.1 million
EPS after takeover = Total earnings / Total shares outstanding
= 1.1 / 1.056 = 1.042
All answers are:
a. 0.056 million new shares
b. 1.056 million shares outstanding
c. 1.1 million total earnings
d. EPS of 1.042
Since of EPS of 1.042 is higher 1, we can verify that EPS post takeover is larger than EPS pre takeover.