Equity Finance
1 Introduction
This chapter evaluates the ways an entity raises equity finance, and what each of them means for the people running the entity and for the people who already own it.
There are two distinct situations, and the syllabus asks about both. An unquoted entity that wants access to the public equity markets has first to get there — that is a flotation, and section 2 deals with the methods and their consequences. An entity that is already quoted has a wider and cheaper set of choices, of which the rights issue is the most important and the most examinable; sections 3 and 4 deal with those, including the calculation of the theoretical ex-rights price (TERP) and the yield-adjusted TERP.
2 Flotation
A flotation, or initial public offering, is the process by which an entity's shares are admitted to trading on a stock exchange for the first time.
2.1 Why float, and why not
Reasons to float | Reasons not to |
Access to a far larger pool of equity, now and in future rights issues. | The cost. Fees to the sponsor, the broker, the reporting accountants and the lawyers, plus underwriting commission, typically absorb a material percentage of the money raised, and much of it is payable whether or not the issue succeeds. |
A market in the shares, so that existing shareholders can realise part or all of their investment at an objective price. | Loss of control. The founders' proportionate holding falls, decisions become answerable to outside shareholders, and the entity becomes capable of being taken over against the board's wishes. |
Quoted shares are a currency for acquisitions — a share-for-share offer is only credible if the shares have a price. | Continuing obligations: periodic reporting, immediate disclosure of price-sensitive information, governance requirements, and restrictions on dealing by directors. |
A daily, objective valuation, which matters for tax, for estates and for employee share schemes. | Exposure to short-term market pressure, and to a share price that moves for reasons that have nothing to do with the entity. |
Profile, which helps with customers, suppliers and recruitment. | Management time — first on the process, and thereafter permanently on investor relations. |
2.2 The methods of flotation
Method | How it works | When it is used |
Offer for sale at a fixed price | Shares are offered to the general public at a price fixed in advance and set out in the offering document. The offer is normally underwritten. | Large issues where a wide shareholder base is wanted. The most expensive method, and the one where getting the price right is hardest. |
Offer for sale by tender | The public are invited to bid, stating a price and a quantity. A striking price is then set at the level that sells the issue, and all successful applicants pay it. | Where the value is genuinely uncertain and the entity does not want to leave money on the table. Deters small investors, who dislike having to name a price. |
Placing | A sponsor arranges for the shares to be bought by a limited number of its institutional clients rather than offered to the public. | Smaller issues. Much cheaper and quicker than a public offer, but it concentrates the shareholder register rather than widening it, and the exchange may require a minimum proportion to be made available more widely. |
Introduction | The shares already in issue are simply admitted to trading. No new shares are issued and no money is raised. | Where the shares are already widely held — for example after a demerger, or for an entity already listed elsewhere. The cheapest method by a distance, because there is no offer to market and nothing to underwrite. |
Only the first three raise money. An introduction creates a market in shares that already exist; it raises nothing. That single distinction answers most examination questions on choosing between the methods.
2.3 The process and the parties
Sponsor or nominated adviser — guides the entity through the exchange's rules and confirms to the exchange that it is suitable to be listed.
Broker or bookrunner — markets the issue to investors and, on a book-built offer, collects the indications of demand from which the price is set.
Reporting accountants — report on the historical financial record and on whether the entity has sufficient working capital for a stated period after the flotation.
Lawyers — verify the statements made in the offering document (in many regimes a prospectus), on which the directors take personal responsibility and on which investors are entitled to rely.
Underwriters — agree, for a commission, to take up any shares not taken by investors. Underwriting converts an uncertain amount of money into a certain one; the commission is the price of that certainty and is payable whether or not the underwriters are called on.
Exchanges also impose entry requirements — typically a minimum market capitalisation, an audited trading record of some years, a minimum proportion of the shares in public hands (the free float), and continuing disclosure obligations. The specific thresholds differ from exchange to exchange and from market tier to market tier, and are not examinable; that the requirements exist, and that they are lighter on a growth market than on a main market, is.
2.4 The implications for management
control is diluted, and permanently: decisions have to be justified to outside shareholders, and the entity becomes vulnerable to a takeover it does not want;
management is measured continuously by a share price, which creates pressure towards decisions that flatter the near term;
the continuing obligations are real work — reporting timetables, disclosure of price-sensitive information, governance codes, and restrictions on when directors may deal in their own shares;
against that, management gains a currency for acquisitions, a means of incentivising staff with shares that have a value, and access to equity on a scale a private entity cannot reach.
2.5 The implications for shareholders
existing shareholders get what they usually floated for — a market, a price, and a route to sell, though lock-in agreements normally prevent the founders selling for a period after admission;
their percentage holding falls if new shares are issued, and their influence falls further than the percentage suggests once the register is widened;
if the issue is underpriced, value moves from the existing shareholders to the new ones. That is not a small point and it is examined numerically — see Example 2;
new shareholders acquire a liquid, objectively valued holding with continuing information rights, and the ability to sell at any time, which is what they are paying the flotation premium for.
Choosing a method of flotation
An unquoted company wishes to obtain a listing. Its shares are already held by several hundred investors, it does not need to raise any new money, and it wants the process to cost as little as possible.
Which one of the following methods of flotation is most appropriate?
An offer for sale at a fixed price
An offer for sale by tender
A placing
An introduction
Show answerHide answer
3 Further issues by an entity that is already quoted
The first of this chapter’s five recordings covers the methods of issue.
New share issues (public issue): its closing summary contradicts itself about which shareholders get the gain — Section 4.2 works it. The rounding in its example is resolved in these notes: $3,090,909 and $409,091 against the $3.5m net present value.
Flotation is notes-only: the recordings touch on becoming listed only in passing, so read Section 2 for the methods of flotation and what they mean for management and shareholders. The fifth recording, on unquoted entities, bonus issues and scrip dividends, is with Section 5.
Once an entity is listed, the following methods are available for issuing new shares.
3.1 Public issue (offer for subscription)
A sale direct to the general public. The shares are advertised at a fixed offer price and the public are invited to buy them. In practice it is difficult to set a fixed offer price that satisfies both the existing and the new shareholders, and Example 2 shows why: the price determines how the value created by whatever the money is spent on is divided between them.
3.2 Public offer for sale by tender
A sale direct to the general public, but with no fixed price: the public are invited to bid, and a striking price is set at the level that clears the issue. It transfers the pricing problem to the market, at the cost of deterring investors who do not want to name a price.
3.3 Placing
A sponsor, usually an investment bank, arranges for its institutional clients to buy the shares. It is quick and cheap. Exchanges commonly require a proportion of a placing to be made available more widely, so that the free float is maintained.
3.4 Rights issue
An offer to existing shareholders to buy new shares in proportion to their existing shareholdings. It is dealt with in section 4, because it is the method that generates the calculations.
New share issues and pricing
A company has 10 million shares in issue at $2.50 each and is looking to raise an additional $2.4 million by an issue of new shares, to fund a project with a net present value of $3.5 million.
Required
Calculate the gains accruing to the new and to the existing shareholders if the shares are issued at $2.40 each.
Calculate the issue price at which all of the gain would go to the existing shareholders.
Show answerHide answer
4 Rights issues
New share issues (rights issue and other issues): it works the rights example on the question’s own $3.00 issue price and reaches a theoretical ex-rights price of $4.60 and a right worth $1.60.
Three notices: it says “the price has gone up”: the share price falls from $5.00 to $4.60 — it is the size of the holding that goes up. Its account of sponsors, merchant banks and underwriting is wrong in three places and never uses the word underwriting; Section 2.3 is the one to read. And its free-float figure is dated.
A rights issue is an offer to existing shareholders to subscribe for new shares in proportion to their existing holdings — a 1-for-4 issue offers one new share for every four held.
The shares are offered at a price below the current market value (the cum-rights price). The discount is not a gift; it is protection. The offer stays open for some weeks, and if the market price fell below the issue price during that period nobody would take up the offer and the issue would fail. A deep discount makes that outcome very unlikely, which is why a company that wants certainty of proceeds discounts heavily rather than underwriting heavily.
The discount does not by itself make shareholders better or worse off. Because more shares now exist and they have been sold below the market price, the value of every share in issue falls to a weighted average of the old price and the issue price. That weighted average is the theoretical ex-rights price.
4.1 The theoretical ex-rights price
TERP = 1 ÷ (N + 1) × [(N × cum-rights price) + issue price]
where N is the number of existing shares needed to obtain one new share — 4 in a 1-for-4 issue, 3 in a 1-for-3. It is easier, and less error-prone, to lay the same calculation out as a small table, which is what the answers below do.
TERP
A company's current share price is $5.00 a share and it makes a 1-for-4 rights issue at $3.00 a share.
Required
Calculate the theoretical ex-rights price per share.
Calculate the value of a right.
Show answerHide answer
4.2 The effect on shareholder wealth
One short recording works the example below, and its figures agree with the answer.
TERP and impact on shareholder wealth: it reaches a theoretical ex-rights price of $7.50, a right worth $1.50, and wealth of $9,600 both before and after for the holder of 1,200 shares. Where it calls the $1.50 “the increase in wealth”, read “the value of a right”: the change in wealth is nil, as the same recording goes on to show.
A shareholder in a rights issue has three choices: take up the rights, sell the rights, or do nothing. The first two leave wealth unchanged. The third destroys it, by exactly the value of the rights that were thrown away.
TERP and the impact on shareholder wealth
The current share price is $8.00 a share. The company makes a rights issue of 1 for 3 at $6.00 a share.
Required
Calculate the ex-rights market value.
Calculate the value of a right.
Calculate the change in wealth of Mrs X, who owns 1,200 shares, assuming she takes up half her rights and sells the other half.
Show answerHide answer
4.3 The yield-adjusted theoretical ex-rights price
Yield adjusted theoretical ex-rights price: the authority on the denominator. It computes 0.14 ÷ 0.12 × 2.025 = $2.2725. Notice: the adjustment rule is stated backwards twice before the tutor self-corrects on tape, and the rounding is shrugged off. Take the rule from this section, not from the first statement of it on the recording.
The ordinary TERP assumes the money raised earns exactly what the entity's existing funds earn, so that the new shares are worth the same as the old ones. Where the money is going into something expected to earn a different return, the new shares are not equivalent to the old ones and the calculation is weighted to reflect it:
Yield-adjusted TERP = 1 ÷ (N + 1) × [(N × cum-rights price) + (issue price × Ynew ÷ Yold)]
Yold is the return the entity's existing funds generate — its weighted average cost of capital, or whatever the question calls the current return. Ynew is the return expected on the money being raised.
Neither of them is the rights discount. A question that offers shares “at a discount of 10% to the current share price” has given you the issue price, not a yield. Using the discount percentage as Yold produces a number that looks plausible and is wrong.
Yield-adjusted theoretical ex-rights price
A company has the following information available:
weighted average cost of capital of 12%
corporate income tax rate of 30%
250 million $1 ordinary shares in issue
current share price of $2.25
The company announces a 1-for-4 rights issue at a discount of 10% to the current share price. The funds raised will finance a project with an expected return of 14%.
Required
Calculate the funds that will be raised.
Calculate the theoretical ex-rights price, ignoring the return on the new funds.
Calculate the yield-adjusted theoretical ex-rights price.
Show answerHide answer
5 Unquoted entities
This recording predates the 2027 syllabus. It covers the rest of the chapter — unquoted entities, bonus issues, stock splits and scrip dividends; carry three things with you.
Markets: it calls the FTSE “the Financial Times Stock Exchange”; it is a family of share indices. What matters is the pattern in this section — a main market and lighter growth markets — and its company examples are dated.
Stock splits: it calls a split “a free issue of shares”. A split subdivides each share into more shares of smaller nominal value; nothing moves out of reserves and share capital is unchanged (the table in Section 6).
Why bonus issues are made: it says a bonus issue is usually made in place of a dividend. That is a scrip dividend (Section 7); a bonus issue capitalises reserves and makes the shares more marketable (Section 6).
An unquoted entity that does not want to float, or is not yet in a position to, still has ways of raising equity:
A rights issue to the existing shareholders — always available, and it needs no market. What it needs is shareholders with money.
A private placing — new shares sold directly to a small number of investors, negotiated one to one.
Venture capital or private equity — a specialist investor takes a substantial minority or majority stake, usually with board representation, a defined exit horizon and rights that a listed shareholder would never have. Private equity as an acquirer of businesses is a different subject and belongs to the valuation chapters later in this text.
A reverse takeover — the unquoted entity acquires a listed one, or is acquired by it in exchange for shares, with the result that its owners control a listed vehicle. It is a route to a listing rather than a source of finance in itself.
The obstacle to a listing is size. Most markets have a tiered structure — a main market with the fullest requirements and the largest entities, and one or more growth markets with lighter entry and continuing requirements, aimed at smaller entities. The names differ from country to country. What matters is the pattern: lighter requirements on the growth market, and in exchange less liquidity, a narrower investor base and a lower profile.
6 Bonus issues and stock splits
Neither of these raises any money. Both increase the number of shares in issue and reduce the price of each, which can make the shares more marketable — a share trading at $60 is a less convenient unit than one trading at $6.
Bonus issue (scrip issue) | Stock split | |
What happens | Free shares are issued to existing shareholders in proportion to their holdings. | Each existing share is subdivided into a larger number of shares of smaller nominal value. |
Nominal value per share | Unchanged | Reduced proportionately |
Share capital | Increased, by capitalising reserves — share premium first where it is available, then retained earnings | Unchanged |
Total equity | Unchanged | Unchanged |
Cash raised | None | None |
Bonus issue and stock split
A company has 40 million 50c ordinary shares in issue and a share price of $6.00. Its equity comprises share capital of $20 million, share premium of $12 million and retained earnings of $48 million.
Required
For each of (i) a 1-for-4 bonus issue and (ii) a 2-for-1 stock split, state the number of shares in issue afterwards, the nominal value per share, the theoretical share price and the effect on total equity.
Show answerHide answer
7 Scrip dividends
A scrip dividend offers shareholders new shares instead of a cash dividend, leaving the choice to each shareholder. For the entity it is a way of retaining cash while still making a distribution, and the new shares are, in effect, issued for the cash that would otherwise have gone out.
A scrip dividend is a dividend decision rather than a share-issue decision, and it is dealt with with the rest of dividend policy in chapter 7.
8 Test your knowledge
Two quick checks before you move on: work through the flashcards to fix this chapter’s terms and definitions, then sit the objective questions for exam-style practice. Both mark themselves and explain the answers as you go.
Equity Finance
20 questionsAnswer the questions one at a time. Your progress is saved so you can leave and come back.
Open chapter practice





