exam - mergers and acquisitions
NPV - wk 10 tutorial
santiago plc is considering a merger with snider plc, a smaller firm in the same industry
santiago plc will be acquiring snider plc
the merger is expected to generate cost savings of 5 mil. per annum in perpetuity
these cost savings, along with the cash flows of both companies, should be discounted at a rate of 10% per annum
santiago plc is evaluating two possible bids for acquiring snider plc:

a. calculate the cost and NPV of the merger to santiago plc under both the cash and share exchange offers
st.1 → calculate market values before the merger
market value → current share price x no. of shares
santiago plc. = 10 × 50 mil. = 500 mil.
snider plc. = 2 × 10 mil. = 20 mil.
st.2 → calculate present value of gains from merger
gain = 5 mil. per yr in perpetuity, discounted at 10%
PV of gains = 5 mil. / 10% = 50 mil.
combined value post-merger = 500 + 20 + 50 = 570 mil.
part. i. cash offer
st.3 → cost of acquisition
santiago pays £4 per share for 10 mil. snider shares:
10 mil. x 4 = 40 mil. → [how much santiago is offering]
cost = extra amount santiago is offering above what snider is worth on the market
cost = 40 mil. - 20 mil. = 20 mil.
snider market value = 20 mil.
st.4 → NPV of the merger
NPV = gains - cost
NPV = 50 mil. - 20 mil. = 30 mil.
part. ii. share exchange offer
st.5 → determine no. of new santiago shares issued
for every 5 snider shares, 2 santiago shares are offered:
2/5 × 10 mil. = 4 mil. new shares issued
there are 10 mil. snider shares
st.6 → new total santiago shares after merger
new total santiago shares after merger = no. of santiago shares + new shares
= 50 mil. + 4 mil. = 54 mil.
new share price of santiago post merger = 570 mil. / 54 mil. = £10.56
570 mil = total combined value [st.2]
st.7 → cost of the merger via shares
no. of shares x new share price = 4 mil. x 10.56 = 42.22 mil.
cost = 42.22 mil. - 20 mil. = 22.22 mil.
20 mil. → snider market value
NPV = 50 mil - 22 mil. = 27.78 mil.
valuations [pricing] - wk11 tutorial
you are given that brandt ltd has:
500,000 shares in total
net assets = 10 mil.
dividend = £2 per share
earnings of past 5 yrs:

similar firms:
earnings yield = 15%
dividend yield = 10%
5 years’ purchase of super profits
normal rate of return on net assets = 15%
a. calculate the value of one ordinary share in brandt ltd using each of the following methods:
maintainable earnings method
st.1 → calculate average earnings
5 + 1 + [-2] + 1 + 1 = 6 mil.
6 mil. / 5 = 1.2 mil.
st.2 → capitalise average earnings using earnings yield of 15%
1.2 mil. / 15% = 8 mil.
st.3 → value per share
8 mil. / 500,000 = £16
500,000 = no. of shares
dividend yield method
dividend per share = £2
dividend yield = 10%
£2 / 10% = £20
asset value method
given info:
net assets = 10 mil.
shares = 500,000
value per share = 10 mil. / 500,000 = £20
super profits method
st.1 → calculate super profits earning:
super profits = maintainable earnings - normal earnings
super profits = 1.2 mil. - 1.5 = -300,000
normal earnings = 15% x net assets
normal earnings = 15% x 10 mil. = 1.5 mil.
maintainable earnings = 1.2 mil.
st.2 → capitalise super profits using 5 yrs purchase:
-300,000 × 5 = -1.5 mil.
st.3 → add net assets:
[-1.5] + 10 = 8.5 mil.
st.4 → value per share:
8.5 mil / 500,000 = £17
berliner method
the berliner method takes the average of 2 valuations:
maintainable earnings method value = £16
asset value method value = £20
[16 + 20] / 2 = £18