Group F Module 8 Mini Case
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11/6/2023
Module 7 Mini Case
Group F
Sarah Deif Abdelshaheed Theodore Ibrahim Kassem Bazzi Huilin
Shen Ke Yang
I
NTRODUCTION
A merger is being assessed for profitability between Dutton Golf Company and Elgin Gold Inc. Currently there is a cash offer of $250 million for Dutton Golf, and the impression is that a merger will capitalize on economies of scale in manufacturing and marketing which will result in synergies. There may also be an advantage in general and administrative expenses. Of note to consider is that following a merger, a dividend of $67.5 million would be paid from Dutton Gold to Elgin. Currently, Elgin Golf has 18 million shares outstanding at $87 per share and Dutton Golf has 8 million shares outstanding. The borrowing interest rate for both companies is 8%. The current cost of capital for Elgin Golf is 11% and 12.4% for Dutton Golf. The cost of equity for Dutton Golf is 16.9% and will be valued at $270 million in five years. This report will analyze the financial aspects of the potential merger to determine if $31.25 per share is reasonable enough to proceed with the merger, and what the highest price per share should be for Elgin to proceed. This report will also consider a stock exchange rather than a cash exchange and what exchange rate would make the merger terms equivalent to $31.25 per share. Finally this report will assess the highest exchange ration Elgin should be willing to pay to undertake the merger.
D
ISCUSSION
P
ART
I: S
HOULD
E
LGIN
P
ROCEED
WITH
THE
MERGER
AT
A
PRICE
OF
$31.25 PER
SHARE
?
First, we must calculate the total cost of the merger.
Total Cost of Merger = (Price per share x number of shares)+(Dividend Payment)
= (31.25 x 8 million) + 67.5 million
= 317,500,000
We then need to calculate expected synergies. We can do this by using the Weighed Average Cost of Capital:
Dutton Golf WACC = (0.169*18/26)+(0.08*8/26)*(1-0.4)
= 13.18%
Elgin Golf WACC = (0.124*8/26)+(0.08*18/26)*(1-0.4)
= 7.14%
Expected Cash Flows for Dutton:
Year 1: 20700000
Year 2: 20400000
Year 3: 25200000
Year 4: 31650000
Year 5: 37800000
Present Values of the expected cash flows:
PV = (20700000/1.1318)+( 20400000/1.1318^2)+( 25200000/1.1318^3)+( 31650000/1.1318^4)+
( 37800000/1.1318^5)
=91238579
Expected synergies = PV of cash flows – total cost of merger = 91238579 - 317,500,000 = -226261420.8
The expected synergies are negative and therefore this merger should not
proceed at a price of $31.25 per share.
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P
ART
II: W
HAT
IS
THE
HIGHEST
PRICE
PER
SHARE
THAT
ELGIN
SHOULD
BE
WILLING
TO
PAY
FOR
DUTTON
? We must first calculate the maximum price that would result in a synergy of zero. We know, from the
previous question, that
Synergies = PV of cash flows – total cost of the merger
0 = PV of cash flows – total cost of the merger
Total cost of the merger = PV of cash flows
91238579 = (price per share *8million) + 67.5 million
= $2.97
Therefore the highest price per share that Elgin should be willing to pay is $2.97. P
ART
III: W
HAT
EXCHANGE
RATE
WOULD
MAKE
THE
MERGER
TERMS
EQUIVALENT
TO
THE
ORIGINAL
MERGER
PRICE
OF
$31.25 PER
SHARE
?
First we should calculate how many Elgin shares would be exchanged for one Dutton share.
Merger price = $31.25
Elgin’s Stock Price = $87
Exchange Ratio = 31.25/87 = 0.36
For every share of Dutton, Elgin will exchange 0.36
shares and this represents the exchange ratio that makes the terms equivalent to the original share price of $31.25. P
ART
IV: W
HAT
IS
THE
HIGHEST
EXCHANGE
RATIO
ELGIN
SHOULD
BE
WILLING
TO
PAY
AND
STILL
UNDERTAKE
THE
MERGER
?
The highest exchange ratio that Elgin should be willing to pay and still undertake the merger is the ratio at which Elgin shares would be exchanged for Dutton shares. This exchange ratio, calculated above, is 0.36 as it is the ratio of the merger price to Elgin’s stock price (31.25/87).
C
ONCLUSION
As discussed in the report above, at a share price of $31.25, the expected synergies are negative and therefore Elgin should not proceed with the merger. This indicates that the value of the merger is less than the value of the individual constituents and therefore this merger should not proceed. The present value of the cash flows are less than the total cost of the merger and therefore the merger should not proceed. The maximum price that Elgin should be willing to pay represents the share price at which the synergies are zero and the net present value of the cash flows are zero. This price is $2.97 (which is vastly
different from the initial share price of $31.25) and is the maximum price Elgin should be willing to pay. In a stock exchange, the exchange rate that would make the merger terms equivalent to the original merger price of $31.25 is 0.36. This also represents the maximum ratio Elgin should be willing to pay and still undertake the merger as it represents a synergy of 0.
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