Abayomi Plc (AP) is a major electrical company in Nigeria. The directors have recently identified Togo as a priority location for business expansion. Togo uses currency TS. Assume today is 30 August 2021.

Company K3, located in Togo, has been identified as a potential acquisition target. AP already manages two business units in Togo, named K1 and K2, and these have shown strong performance under AP’s ownership.

K3 is particularly attractive to AP because it has its own warehouse, distribution and logistics network, all of which could be used by K1 and K2, if the acquisition goes ahead. Currently, K1 and K2 send goods to customers from AP warehouses located in Ghana. This involves considerable cost and delay in delivery.

K3 is a private company and 100% of its shares are owned by the family that founded it. Many shareholders are keen to realise their investment by selling the company to AP.

Both companies are working towards an effective date for the sale of K3 to AP on 1 January 2022.

Financial data for K3 for 2020

The statement of financial position of K3 as at 31 December 2020 showed the following balances:

TS million Long term borrowings 375 Share capital (TS1 ordinary shares) 90 Reserves 200

665

Additional information:

• K3 reported an operating profit of TS75 million in the year ended 31 December

  1. It declared a dividend of TS30 million on 20 December 2020 which was paid on 30 January 2021. • K3 pays 7% interest on long term borrowings. • The corporate income tax rate in Togo is 30%.

Forecast financial data for K3 for year 2022 onwards, following acquisition by AP

Following consultation with the directors of K3, AP’s Finance Director has prepared the following forecast data for K3 assuming it is acquired on 1 January 2022.

Forecast data for K3:

• Free cash flow to the firm, ignoring synergistic benefits, of TS54.6 million in

2022, growing by 4% a year in perpetuity. • One-off synergistic cash flow benefit of TS8.0 million after tax in 2022. • After tax annual synergistic cash flow benefit, starting with TS5.0 million in

2023 and then increasing by 4% a year in perpetuity.

In any discounted cash flow analysis, cash flows should be assumed to arise at the end of the year to which they relate.

On acquisition, K3 would be transferred to AP free of debt because K3’s lenders would only agree to the sale on condition that their borrowings are repaid prior to the sale. After acquisition, new borrowings would be arranged in addition to the equity investment by AP and structured so that K3 would have approximately the same capital structure as AP. That is, gearing (debt/debt+equity) would be 25% based on market values. AP would guarantee K3’s new debt which can be assumed to have the same risk profile as AP’s debt.

A proxy company has been identified which is also located in Togo and has a similar business model to K3.

Proxy company data

• P/E ratio of 12. • Equity beta of 1.7 and debt beta of 0.4. • Gearing (debt/debt+equity) based on market values of 35%.

Togo has a risk free rate of 5% and a market risk premium of 4%.

Financial data for AP

Latest data available for AP shows:

• P/E ratio of 14. • Equity beta of 1.5 and debt beta of 0.3. • Gearing (debt/debt+equity) based on market values of 25%.

• AP pays 6.2% interest on its long term borrowings.

Tax rate in Nigeria is 30%.

The spot rate for TS against Naira, today is TS7/₦ (that is, ₦1 = TS7.00) and is not expected to change in the foreseeable future.

Assume that Nigeria has the same risk-free rate and market risk premium as Togo.

Required:

Assume you are the Finance Director of AP.

a. Advise on:

i. The types of synergistic benefit that might arise from the acquisition

of K3.

ii. Possible reasons why both one-off and ongoing synergistic benefits might not be achieved to the extent expected.

b. i. Calculate a Weighted Average Cost of Capital (WACC) for use in

valuing K3 based on the proxy company’s business and country risk

and AP’s capital structure.

ii) Calculate a range of values for the equity of K3 in TS as of 1 January 2022 using the following methods:

• Asset basis.                                                                                                                                                                                                                     • P/E (including bootstrapping).                                                                                                                                                                                 • DCF (with and without synergistic benefits)

a.(i) Types of synergistic benefit

Synergistic benefits can generally be broken down into three main types, which are • Revenue synergies; • Cost synergies; and • Financial synergies.

These can be considered in the context of the acquisition of K3 by AP.

Revenue synergies: These result in higher revenues for the combined entity and higher return on equity. Examples of these include: • Elimination of inefficiency – The greater strength of AP’s marketing

department could also help to enhance K3’s market penetration; • Market Power – Horizontal combinations (the type in the scenario) can

enable a company to dominate a market. This is one of AP’s main objectives in acquiring K3, to become the market leader in the region; and • Customer satisfaction – customers will benefit from speedier deliveries,

leading to increased customer satisfaction and growth in sales. Cost synergies: These result mainly from reducing duplication of functions and related costs. In this scenario: • Economies of scale – Savings could be made in respect of existing operations

in Togo by using K3’s distribution network to service customers of K1 and K2, saving transport costs and reducing delivery times. Savings could also be made by removing some local administration in areas such as marketing and finance, combining these operations more efficiently on a centralized basis; • Complementary resources – Increases in efficiency may also be possible by

using AP’s knowledge and expertise to improve the efficiency of operation of K3; and • Bulk purchase of key supplies – leading to bulk purchase discount. Financial synergies: These are the type of synergies that result from lowering the cost of capital, which include: • Diversification: Given that K3 is in a market in which AP already operates it

is unlikely that there will be any significant benefit of diversification; • Debt finance: It is possible that post acquisition K3 may be able to secure

cheaper debt finance as a result of being part of a larger group. This would lead to an increase in earnings and a reduction in the cost of capital;

• Surplus cash: AP has significant cash in its statement of financial position at

31 December 2020 and therefore, acquiring K3 enables AP to obtain higher returns from this surplus cash.

(ii) Possible reasons for failure to achieve expected benefits

Reasons why the acquisition might fail to meet expectations are:

Lack of fit syndrome

The success of the acquisition depends on the ability of the current management of K3 to work within AP’s management structure and culture.

Lack of industrial or commercial fit There is also a risk that K3’s reputation/intangible value is not as high as anticipated or that the distribution network cannot easily be adapted to accommodate the needs of K1 and K2.

Integration costs too high Turn-around costs to adapt the distribution network and integrate K3 management and systems might prove to be considerably higher than estimated, undermining the expected financial benefits of the acquisition.

Price paid too high It would clearly also affect expected returns if the price agreed proves too high in relation to the actual value of K3 to AP. There is a risk that AP over-values K3, especially given the assumption of growth in perpetuity – the longer the time frame, the less reliable the forecast.

Failure to integrate There may be technical or logistic reasons why the distribution networks could not be integrated or management and systems combined.

Inability to manage change Careful planning and management is required to oversee the change process. AP has much experience of acquiring companies and managing change and so it is likely that it would have the necessary expertise to be able to manage change effectively.

a) i) WACC for use by K3 following acquisition

 Ungear the proxy company’s equity beta i.e. convert equity beta to asset

beta.

βA = VE (VE + VD(1 −T)) βE + VD(1 −T) (VE + VD(1 −T)) βD

= 65 × 1.7 65 + 35(1 −0.30) + 35 1 −0.3 × 0.4

65 + 35(1 −0.30) = 1.3441

• Regear beta i.e. convert the asset beta to equity beta – using AP’s D:E

ratio and its debt’s beta:

βE = βA + (βA − βD)

VD VE (1 −t)

= 1.3441 + 1.3441 −0.3 25

75 1 −0.3 = 1.5877

• Use CAPM to calculate cost of equity (KE)

KE = RF + βE(RM – RF)

= 5 + (1.5877 × 4) = 11.35%  Compute WACC

WACC = (11.35 × 0.75) + 6.2(1 – 0.3) (0.25) = 9.60%

Alternative approach to calculating WACC  First ungears the proxy company’s asset beta as above = 1.3441  Use CAPM to calculate KEU, i.e. the cost of equity if the company has no

debt finance: KEU = RF + βA (R M – RF)

= 5 + 1.3441(4) = 10.376%  Calculate WACCg – using the formula:

WACCg = KEU 1 − VDt

Vg

= 10.376 1 − 25 × 0.3

75 + 25 = 9.60%

(Notes: KEU = WACCU, Vg = VEG + VD, using the given D:E ratio of AP)

ii) Calculate a number of values for K3

Asset based approach TS million

Net asset value:

665

Less borrowings

(375)

Book value of equity

290

Alternative approach TS million Share capital

90 Reserves

200 Book value of equity 290

P/E based approach The P/E valuation is based on earnings (profit after financing costs and tax), so first calculate earnings:

TS million

Operating profit

75

Less financing costs (26) (= TS375 million x 7%)

49

Less tax at 30%

(15)

Earnings

34 (= profit after tax)

Value of KS in TS million

At the proxy company’s P/E of 12: 408 (= 12 x 34 m)

At AP’s P/E of 14 (bootstrapping): 476 (= 14 x 34 m)

DCF approach

Excluding synergy (TS million) PV of free cash flow to the firm (FCFF) = FCFF1/(WACC – g)

= 54.60/(0.096 – 0.04) = 975 Less borrowings

375 Total value of equity

600

Including synergy (TS million) Total as above

600

One-off synergy = 8/1.096 =

7.3

Perpetual synergy = (5/(0.096 – 0.04))/1.096 = 81.5 88.80

688.80 Or (say)

689

Summary of results

Method Value of equity TS million Asset 290 P/E (using proxy company’s P/E) 408 P/E (using P plc’s P/E, ie bootstrapping) 476 DCF excluding synergistic benefits 600 DCF including synergistic benefits 689

Examiner’s report The question tests many aspects of acquisition and related business valuation. In part (a) (i), candidates are expected to identify the types of synergistic benefits expected from the given acquisition. In part (a) (ii), candidates are expected to explain why it might be difficult to achieve synergistic benefits in practice. In question (b) (i), candidates are expected to calculate risk-adjusted WACC needed for the valuation. In question (b) (ii), candidates are expected to value the equity of the company using different valuation methods. Being a compulsory question, large number of the candidates attempted it but the level of performance was disappointingly low.

Question                                                                                                                                                                                                                         (a) (i) that was designed to be mark booster was badly attempted in the sense that candidates provided generic solutions having no bearing to the scenario painted in the question.

In question                                                                                                                                                                                                                    (b) (i), candidates lost easy marks due to the following factors:

 Use of wrong formulae in the process of ‘ungearing’ (computing asset beta)

and ‘regearing’ (computing equity beta); and  Poor understanding of the various financial gearing formulae: D/E ratio, D/(E + D) ratio, etc. and when to use each one of them.

In question (b) (ii), candidates lost marks due to their:

 Failure to adjust the operating earnings (i.e. EBIT) for interest and tax, when

doing valuation using P/E ratio; and  Failure to make use of the appropriate formulae when discounting the cash

flows with delayed growth.

Candidates are advised to practice past questions, using the pathfinder and cover the syllabus comprehensively, when preparing for future examinations.