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ACCA Strategic Professional · Advanced Financial Management

Business re-organisation: formula sheet

Full chapter guide

Key formulas

Value created by reorganisation
Gain = (Value of parts after reorganisation) − (Value of the whole before) − costs and tax
Use this to judge whether the reorganisation is worthwhile. Include transaction costs and any tax on disposal.
Gain or loss on sell-off
Gain = Sale proceeds − (Value of the division to the group if kept)
Compare the proceeds with the value in use (for example the PV of its future cash flows), not with book value alone.
Net proceeds from a carve-out
Cash raised = Number of shares sold × Offer price − issue costs
The parent normally keeps control if it retains a majority of the voting shares. This depends on the voting rights attached to the shares and on any shareholder agreements, so check them in the scenario.
Spin-off share allocation
New shares received = Existing shares held × Spin-off ratio
Shareholders get the new shares pro rata, so total shareholder wealth changes only if value is created or lost.
Liquidation priority of payment (illustrative general order)
Fixed charge holders (from their secured assets) → liquidation costs → preferential creditors → floating charge holders → unsecured creditors → shareholders
This is an illustrative general order, not a fixed rule. The exact ranking depends on the jurisdiction. For example, some regimes set aside a part of floating charge assets for unsecured creditors. Say so, and apply the order the question gives.
Value gain from a sell-off
Gain = Sale proceeds (after tax and costs) − Value of the unit if retained
Value if retained is usually the PV of its future cash flows to the group. Sell only if the gain is positive.
Value of unit retained (DCF)
Value = Σ Cash flow t ÷ (1 + r)^t, plus PV of terminal value
Use a discount rate that reflects the risk of the unit, not necessarily the group WACC.
Sale proceeds net
Net proceeds = Sale price − Tax on gain − Selling costs − Debt settled with the unit
Check whether debt transfers with the unit. Some questions give equity value, others enterprise value.
Equity carve-out proceeds
Proceeds = Shares sold × Offer price − Issue costs
Parent's retained stake = Total shares − Shares sold. Value the retained stake at the market price.
Group value after unbundling
Post-event value = Value of remaining group + Value of unit (or retained stake) + Cash received
Compare with the pre-event value. Shareholder wealth change = post-event value − pre-event value.
Value per share check
Value per share = Equity value ÷ Number of shares
After a spin-off, a shareholder holds both shares. Add the two values together for the shareholder's total.
Debt service cover
Cash flow available for debt service ÷ (interest + scheduled capital repayment)
Lenders want a comfortable margin above 1. Use it to test whether the LBO debt is affordable.
Interest cover
Operating profit (EBIT) ÷ interest
A quick test of gearing risk in a highly leveraged structure.
Gearing
Debt ÷ equity, or debt ÷ (debt + equity)
State which definition you use. Compare before and after the deal.
Sources equal uses
Purchase price + fees = debt + VC finance + management equity
Use this to find the missing funding or the equity needed.
Investor's exit value of stake
Exit equity value × investor's percentage holding
Exit equity value = exit enterprise value − net debt at exit.
Annualised return (IRR) on a single investment and single exit
(Exit proceeds ÷ Amount invested)^(1 ÷ n) − 1
Valid when there are no interim cash flows. n is years held.
Cash multiple
Exit proceeds ÷ Amount invested
VCs quote this alongside IRR.
Liquidation return to unsecured creditors
Amount available to unsecured = Net realisable value of assets − secured claims (and any liquidation costs); return per $1 of claim = Amount available ÷ Unsecured claims
If the amount is negative, unsecured creditors get nil. Check the order of priority given in the question.
Post-scheme equity value
Equity value = Going-concern value of the business − Value of debt remaining after the scheme
Include any new cash raised in the going-concern value. Use the value of debt given in the question, not necessarily book value.
Value per share after scheme
Value per share = Post-scheme equity value ÷ Total shares in issue after the scheme
Total shares include existing shares, shares issued to creditors and any new shares issued for cash.
Value of a party's package
Package value = New debt received + Cash received + (Shares received × Value per share)
Compare this with the party's liquidation return.
Acceptance test
Party accepts if package value ≥ liquidation return (shareholders: if package value net of any new money paid ≥ 0, and strictly > 0 if they are to be genuinely better off)
A rational party accepts if it is at least as well off as in liquidation. It is genuinely better off only if the gain is strictly positive. This is a rule of thumb. Real parties also consider risk, control and relationships.
Net gain to shareholders contributing new money
Net gain = Value of all shares held after the scheme − New cash subscribed − Liquidation return (usually nil)
Shows whether putting in new money is worthwhile.
Secured creditor recovery in liquidation
Recovery = lower of (claim, value of security realised)
Any surplus on the security joins the pool for unsecured creditors. Any shortfall becomes an unsecured claim.
Recovery per $1 for unsecured creditors
Cash available to unsecured ÷ total unsecured claims
Cash available = net realisation proceeds less liquidation costs less amounts paid to secured creditors from their security. Include any shortfall of secured creditors in the claims.
Fairness test for each stakeholder
Scheme value ≥ liquidation value
Scheme value = cash + market value of new debt and shares received. Use realistic values for new securities, not nominal amounts.
Gain on write-off
Gain = old liability − new consideration (cash + new debt + new shares at nominal)
Taken to reserves in the pro forma statement of financial position.
Gearing
Debt ÷ equity, or debt ÷ (debt + equity)
State which definition you use. Use market values if given, otherwise book values and say so.
Interest cover
Operating profit before interest ÷ interest expense
Compare before and after the scheme. Use forecast profit, not past profit.

Quick revision

  • Re-organisation changes structure or capital to create value or avoid failure.
  • A sell-off sells a division to another party and brings in cash.
  • A spin-off gives existing shareholders shares in a new separate company, with no cash raised.
  • A carve-out floats part of a subsidiary to outside investors, usually with the parent keeping control.
  • Unbundling can unlock value when the parts are worth more apart than together.
  • An MBO is a buy-out by existing managers. An MBI is a buy-out by outside managers.
  • Buy-outs rely on high gearing, so check the cash flow cover for debt service.
  • Reconstruction is usually tested against the alternative of liquidation.
  • Each stakeholder should get at least what they would get on liquidation, or they have no reason to agree.
  • Existing creditors may be asked to swap debt for equity, accept lower interest or defer repayment.
  • New finance often needs to be provided by someone, so check who funds it and what they are offered.
  • Always end with a clear recommendation, the reasons, and the main risks.

Common mistakes

  • Treating spin-off and sell-off as the same thing Fix: State the flow. In a sell-off the parent receives cash from a buyer. In a spin-off shareholders receive shares and the parent receives no cash.
  • Saying a carve-out always means the parent loses control Fix: A carve-out usually sells a minority stake, so the parent often keeps control. Check the percentage sold.
  • Saying a spin-off raises cash for the parent. Fix: Remember that in a spin-off shares go to existing shareholders free. The parent gets no cash. Only sell-offs and carve-outs bring in cash.
  • Assuming a carve-out means losing control. Fix: A carve-out normally sells a minority stake. The parent usually keeps control and consolidates the unit. Say so and check the percentage given.
  • Treating LBO as a type of buyer rather than a financing method. Fix: Say who buys (MBO, MBI) and how it is funded (LBO). A deal can be both an MBO and an LBO.
  • Saying an MBI is lower risk than an MBO. Fix: State that outsiders lack knowledge of the business, so lenders and VCs see an MBI as riskier.
  • Valuing new shares at nominal or at the old share price Fix: Value shares at post-scheme equity value divided by total shares after the scheme, unless the question gives a different value.
  • Forgetting the priority order in liquidation Fix: Pay secured claims first from their assets, then unsecured creditors in proportion to their claims. Shareholders only get what is left.
  • Ignoring liquidation costs, or forgetting that secured creditors are paid first. Fix: Always deduct costs, pay secured creditors from their security first, and only then divide the rest. Add any security shortfall to unsecured claims.
  • Valuing new shares or loan notes issued to creditors at nominal value only. Fix: Use the market or estimated value if given. Comment that nominal value can overstate what creditors really receive.

Exam tips

  • Define each method in one line before you evaluate it. Markers give credit for correct distinctions such as cash to the parent versus shares to shareholders.
  • Tie every reason to the scenario. A generic list of motives earns far fewer marks than two reasons that use the case facts.
  • Always include a counter-argument: costs, tax, lost synergies or reduced debt capacity. Balanced answers score on professional skills.
  • When valuing a division, compare the offer with value in use and explain your assumptions. Do not rely on book value.
  • Finish with a clear recommendation and the next step, for example test the market or negotiate. A discussion without a conclusion loses marks.
  • Start every answer by naming who gets the cash and who keeps control. Examiners reward this clear distinction between the three methods.
  • Link the method to the parent's objective in the scenario: cash need, reducing gearing, a bid defence or refocusing. A recommendation with no link scores low.
  • Show a short calculation of value before and after, even if the question is mainly discussion. Numbers earn technical marks and support your argument.