Investment decisions begin with a client or institution’s objective, then move through market access, product choice, risk, cost and review. This guide connects those steps across both IMC units. You will learn how UK regulation and professional duties shape communications, suitability, dealing and custody; how tax allowances and investment wrappers affect outcomes; and how to read accounts, value cash flows and compare assets. Key distinctions include bond duration versus credit risk, diversification versus low stand-alone volatility, and manager performance versus the timing of client cash flows. Use the calculation methods with the figures given in each problem, then explain what the result means for a portfolio decision.
Unit 1: Financial markets and institutions
1. How savings reach investment
Households and institutions save more than they currently spend; companies and governments may need capital now. Banks connect the two by accepting deposits and lending from their balance sheets. Pension funds and other pooled funds instead collect investors’ money and buy securities on their behalf. When an issuer sells new shares or bonds, the primary market channels proceeds to that issuer. A later sale between investors is a secondary market transaction: it changes ownership, but supplies no new issue proceeds. Secondary trading still matters to financing. Investors may be more willing to buy a new security if they expect a reasonable chance of selling it later. Prices formed in those trades also help issuers judge the terms on which they can raise capital. The Unit 1 syllabus covers these links between institutions and markets.
Worked example: A company issues £10 million of new bonds, all bought by a pension fund. The company receives £10 million before issue costs and owes the bondholders the promised payments. A month later, the fund sells £2 million face value to an insurer. The insurer pays the fund at the agreed market price; the company receives no further £2 million. The fund has converted part of its holding back into cash.
Watch the distinction: A secondary market sale does not finance the issuer again. Its contribution is indirect: tradability and visible prices can make the original issue more attractive to investors.
Reference: [2]
2. Liquidity, transparency and dealing cost
Liquidity means being able to trade a useful quantity promptly without moving the price much. Check more than the last traded price: examine the bid, offer, available quantity at each price, recent turnover and how prices behave when large orders arrive. The bid is what a buyer currently offers; the offer is what a seller asks. An investor buying immediately generally pays the offer and selling immediately receives the bid. Their difference is one dealing cost. Commission, taxes where applicable and market impact may add to it. Visible quotes improve price discovery, but a displayed price for a small quantity may say little about the cost of a large trade. In a deep market, orders at nearby prices can absorb size. In a thin market, filling the balance may require progressively worse prices.
Worked example: A share shows 99p bid and 101p offer, with enough quantity at both prices for 10,000 shares. Buying costs 10,000 × £1.01 = £10,100. Selling immediately brings 10,000 × £0.99 = £9,900, a £200 round-trip spread loss before other charges. If only 2,000 shares are offered at 101p, the remaining 8,000 may cost more; £10,100 would then understate the purchase cost.
Watch the distinction: A narrow displayed spread is not proof that a large order is cheap to execute. Check quoted size and deeper orders before estimating its full cost.
Reference: [2]
3. Trading venues and settlement
In an order-driven market, buy and sell instructions meet according to the venue’s matching rules. A limit order controls the worst acceptable price but may wait or remain unfilled. In a quote-driven market, dealers display prices at which they stand ready to trade, subject to quote terms. A regulated market and a multilateral trading facility, or MTF, bring multiple parties together under venue rules. An organised trading facility, or OTF, is a distinct multilateral category used for certain non-equity instruments and allows specified operator discretion. A systematic internaliser executes client orders against its own account outside a trading venue. Dark trading limits pre-trade display under applicable arrangements; it does not eliminate execution risk. After execution, clearing establishes obligations and manages them where relevant; settlement transfers the security and cash. A matched trade is therefore not yet a completed delivery.
Worked example: An investor submits a limit buy for 1,000 shares at 500p. With the best sell order at 502p, there is no match, so the order waits. A dealer separately offers a firm 501p quote for 1,000 shares. Accepting it costs £5,010 rather than the £5,000 limit-order maximum, but gives immediate execution. The resulting trade still needs the buyer’s £5,010 and the seller’s shares delivered at settlement.
Watch the distinction: Placing a limit order does not guarantee a trade. It sets a price boundary; execution requires a willing counterparty, while settlement requires subsequent delivery.
Reference: [2]
4. Listings and shareholder oversight
Admission to a market gives investors a framework for finding and trading securities, but it does not certify that a company is a sound investment. Where a prospectus is required for an offer or admission, it brings material information about the issuer, security, finances and risks into a form investors can assess. Exemptions depend on the transaction, so do not assume every share issue has identical paperwork. Continuing disclosure matters because circumstances change after admission. Price-sensitive developments, directors’ interests and significant ownership can affect how investors value the company or judge whose interests influence decisions. Corporate governance adds oversight through the board, independent challenge, audit and shareholder voting. For an investment decision, ask what was disclosed at issue, what must be updated, who approves a conflicted transaction and what rights shareholders can exercise.
Worked example: A listed company proposes new shares to fund an acquisition, and two directors have interests in the seller. Investors need the relevant issue information, including the financing and acquisition risks, plus clear disclosure of the directors’ conflict. The board should handle that conflict through its governance process; shareholders can then assess the terms using the information and any voting rights that apply. Board approval by itself does not tell investors whether the transaction is fair.
Watch the distinction: A listing is not a quality guarantee. Disclosure and governance help investors evaluate a company, but neither removes business risk or substitutes for their assessment of the issue terms.
Reference: [2]
5. Global holdings and agency risk
A global security may pass through a local market, local custodian, international custodian and central securities depository before appearing in a UK fund’s records. Each link needs accurate positions, instructions and reconciliation. Different market practices, currencies, holidays and settlement arrangements can delay delivery or leave cash and securities mismatched. Separate this operational chain from the chain of authority. Fund investors are beneficial owners of their economic interest; the manager decides investments within its mandate; custodians hold or record assets; company directors run the issuer. These agents can act in ways that cost principals money. An affiliated broker may be convenient yet expensive, while a director may favour a transaction that benefits them. Diagnose the source of loss first: settlement failure calls for operational controls; self-dealing calls for conflict management, oversight and fair treatment.
Worked example: A UK fund buys an overseas bond, but the local seller fails to deliver on the expected date. The fund has an unsettled trade and must manage its cash and counterparty exposure. Separately, its manager routes orders to an affiliated broker charging more than comparable alternatives. That choice creates an agency conflict even if each bond settles correctly. Reconciliation addresses the first issue; execution and conflict review address the second.
Watch the distinction: A custodian’s involvement does not make the manager the beneficial owner, and a settlement problem does not automatically imply misconduct. Identify both the ownership chain and the cause of the failure.
Reference: [2]
Unit 1: Ethics and investment professionalism
6. Professional judgement beyond a rule
A professional decision starts with duties to clients, employers, markets and the profession, then asks what the affected person can understand and reasonably rely on. The CFA Code links integrity, competence, diligence and client care: an adviser should know the product, give a sound basis for a recommendation and communicate its consequences intelligibly. Literal compliance may leave a client unable to recognise a cost or risk. Test whether a disclosure is accurate, prominent and useful to the particular audience. If an important point is misunderstood, explain it again in cash or outcome terms and record the discussion. The adviser must also recognise the limits of personal expertise and seek specialist help where needed. The Unit 1 study guide can help connect this judgement to client advice and regulation.
Worked example: An adviser hands a client a complete fee schedule, but the client thinks a 1% annual charge is a one-off £100 payment on a £100,000 portfolio. At an unchanged portfolio value, 1% is about £1,000 each year before any other charges. The adviser explains that amount, how charges affect returns over time and where further costs arise, then checks the client’s understanding before proceeding.
Watch the distinction: A signed disclosure is not proof that communication was effective. When a material misunderstanding is evident, professional care requires a clear explanation of the consequence.
Reference: [2]
7. Information and market integrity
Information is material when a reasonable investor would likely regard it as important to a decision or when it could materially affect a security’s price. It is non-public until released broadly enough for the market to receive it, rather than shared with a few analysts or clients. If both conditions hold, investment professionals must not trade or prompt others to trade on it. They should restrict access, stop affected decisions and escalate through their firm’s controls. Confidential client information also needs protection, even when it is not price-sensitive. Legitimate research can combine public facts with nonmaterial observations to form an original conclusion; that is different from using a private, material fact as the decisive input. A planned public recommendation cannot cleanse a private tip before the issuer or another proper channel makes the fact public.
Worked example: An analyst privately learns that a bond issuer will miss a major payment tomorrow. The fact concerns the issuer’s ability to meet debt obligations and has not been publicly released, so it is likely material non-public information. The analyst stops a pending bond purchase, limits further sharing and reports it internally. Publishing a sell note based on the tip first would spread the private fact through an improper route, not justify trading.
Watch the distinction: Information need not contain an exact forecast to be material. A private warning of a missed debt payment can be decisive even if the precise market price effect is uncertain.
Reference: [2]
8. Conflicts and transaction priority
A conflict exists when an outside benefit or personal interest could pull a professional away from fair client treatment. Gifts, outside roles, related-party services and personal accounts can all create that pressure. The useful sequence is to identify the interest, disclose it to the appropriate people, assess whether it can be controlled and document the decision. Disclosure alone may be insufficient when the conflict remains unmanageable. In scarce new issues, a fair allocation method should be established before the final quantity is known, then applied consistently across eligible clients. Personal trades must follow firm controls and cannot displace client orders. Also consider whether a manager’s own holding might influence later advice to clients. Priority is about protecting client opportunity and execution, not rewarding whoever identified the investment first.
Worked example: Three suitable client accounts request 4,000, 3,000 and 3,000 shares in a new issue, while the manager wants 1,000 personally. Only 5,000 shares are available. Under a stated proportional client-allocation method, the clients receive 2,000, 1,500 and 1,500 shares. Their unmet demand leaves no shares for the manager. Any personal purchase would need separate permission and could not take stock from the client allocation.
Watch the distinction: Telling clients that a manager wants the same shares does not give the manager equal priority. A scarce allocation still needs a fair, documented client-first decision.
Reference: [2]
9. Diligence and honest performance claims
Investment research needs a reasonable basis, with the evidence, methods and assumptions tested against the claim being made. Distinguish facts from forecasts and identify what could overturn the conclusion. A performance presentation needs similar care: state the measurement period, whether returns are annualised, what benchmark and fees apply, and whether the result represents the full strategy or a selected subset. A favourable short interval can be true but misleading if it is presented as the normal experience. Compare like periods and calculate compounded returns where annual growth is claimed. Past outcomes do not establish future results, particularly when market conditions or the investment process have changed. For a recommendation, ask whether the analysis supports the security’s risks and current price, not merely whether the chosen statistic sounds impressive.
Worked example: A fund presentation advertises 12% a year during its best three years. Its full five-year annualised return is 4%. On £100,000, 4% compounded for five years produces about £121,665, since £100,000 × 1.04^5 = £121,665. The three-year result may be reported with dates and context, but it cannot fairly stand alone as evidence of a persistent 12% five-year record.
Watch the distinction: A return figure can be mathematically correct and still mislead. Selecting only strong years hides the period an investor needs to assess the strategy.
Reference: [2]
Unit 1: Regulation and legal concepts
10. Who regulates what in the UK
Classify a regulatory problem by the harm and the entity involved. The Financial Conduct Authority focuses on conduct in financial markets and the treatment of customers; it also has prudential responsibilities for firms outside the Prudential Regulation Authority’s remit. The PRA, part of the Bank of England, supervises the safety and soundness of banks, insurers and certain major investment firms. The Bank also has monetary and financial stability functions, while its Financial Policy Committee identifies system-wide risks and can use macroprudential tools. HM Treasury sets government financial services policy and is responsible for legislation, rather than supervising individual client communications. A dual-regulated firm can therefore receive conduct scrutiny from the FCA and prudential scrutiny from the PRA. Follow the actual issue rather than assuming that each firm belongs to only one regulator.
Worked example: A bank has too little capital for its risks and sends retail customers a misleading investment promotion. The PRA addresses the bank’s prudential weakness; the FCA addresses the conduct problem. If similar capital pressure spans many banks, the Bank’s financial stability work and Financial Policy Committee may become relevant. HM Treasury shapes the statutory framework but does not review that individual promotion as a supervisor.
Watch the distinction: Do not assign every bank problem to the PRA. A bank’s customer communications remain a conduct matter, and system-wide risk is a separate question.
Reference: [2]
11. The regulatory perimeter
To test whether UK authorisation may be needed, identify exactly what the firm does, what instrument is involved and whether a statutory exclusion or exemption applies. UK financial services law specifies regulated activities and specified investments; labels such as ‘information service’ or ‘consultancy’ do not decide the result. A personalised recommendation to buy a particular share raises different questions from an article describing the share market for everyone. Execution, arranging and managing investments are also distinct activities. Then check whose activity it is, where it is carried on and any relevant exclusion. The UK framework has domestic rules, including provisions derived from earlier EU measures, but an EU directive, a UK rule and an international standard do not have identical legal force in the UK. Name the applicable UK obligation before applying it.
Worked example: A firm tells a named client, after reviewing their circumstances, ‘Buy 500 shares in Company A.’ That is a personalised recommendation concerning shares, a specified investment, so the firm must examine whether it needs authorisation or an applicable exclusion. A public article saying that shares can provide long-term growth is general information. The topic overlaps, but the service and perimeter analysis differ.
Watch the distinction: Calling a recommendation ‘educational’ does not determine its regulatory status. Assess its content, intended recipient and connection to a specified investment.
Reference: [2]
12. Principles, controls and accountability
Principles state the outcomes and standards expected of firms; detailed rules and systems make those standards workable in daily decisions. The FCA’s Consumer Duty focuses on good outcomes for retail customers within its scope, including suitable design and distribution, understandable communications and support. A firm therefore needs evidence about what customers actually experience, not just evidence that a document was approved. Systems and controls assign responsibilities, monitor failures and correct them. Under the Senior Managers and Certification Regime, senior managers have defined responsibilities, while firms assess the fitness and propriety of staff in certification roles. When repeated problems appear, trace them from customer harm to product design, sales incentives, training and oversight. An individual file fix may help one customer, but management must address the process that produced the pattern.
Worked example: A firm receives 30 complaints in a month from customers who needed short-term access but were sold a product designed for long holding periods. Staff correct the 30 files, then management examines the target market, sales scripts, incentive arrangements and monitoring data. It stops unsuitable distribution and considers remediation for other affected customers. The repeated pattern points to a control failure, not merely 30 unrelated clerical mistakes.
Watch the distinction: An approved product is not suitable for every buyer. Approval, sales monitoring and customer outcomes each answer a different question.
Reference: [2]
13. Client status and communications
Client categorisation affects the protections and information a firm must provide. Retail clients generally receive the fullest conduct protections. Professional clients are treated as having greater expertise and resources for relevant business, while eligible counterparties form a narrower category for certain dealings. A client may meet an automatic category or request an elective change, but the firm must apply the applicable criteria and process; a wish for access is not enough. Consider the proposed service as well as the person, since classifications can depend on context. Communications must be fair, clear and not misleading. For a complex product, prominent risk and loss information matters as much as the attractive payoff. A balanced promotion explains when the product performs poorly and avoids using a sophisticated label to obscure retail risks.
Worked example: A wealthy individual asks to be treated as professional so they can buy a complex note. The firm cannot infer qualifying knowledge or experience solely from wealth; it assesses and records the relevant criteria and whether the requested treatment is permitted. If the person remains retail, a promotion should explain material features such as issuer exposure and possible loss clearly alongside any advertised return. Reclassification would not make an inaccurate promotion acceptable.
Watch the distinction: Wealth is not a complete test of professional status. Nor does a professional label permit a firm to make misleading claims about an investment.
Reference: [2]
14. Suitability, appropriateness and charges
First classify the service. Personal advice and portfolio management call for a suitability assessment: the investment must fit the client’s objectives, financial situation, capacity for loss, knowledge and experience. Certain non-advised services instead require an appropriateness assessment focused on whether the client understands the product’s risks. An execution-only route may have different assessment requirements where its conditions are met. A warning after an appropriateness failure does not turn an unsuitable recommendation into suitable advice. Costs and remuneration matter to both value and conflicts: a payment linked to a product could bias selection, while ongoing charges reduce the client’s return. Show the client the recommendation’s rationale, risks and total relevant charges in understandable terms. IMC practice questions are useful for testing which assessment follows each service.
Worked example: A client needs £50,000 for a house deposit in two years and asks an adviser to recommend a volatile equity fund for that sum. A 25% fall would leave £37,500, a £12,500 shortfall. The adviser must assess suitability against the deposit date, loss capacity and alternatives. Passing a product knowledge test or accepting a risk warning would not make a recommendation to place the entire deposit in the fund suitable.
Watch the distinction: Appropriateness checks product understanding; suitability tests whether advised action fits the client. Using the former cannot replace the latter when making a personal recommendation.
Reference: [2]
15. Orders, execution and research
Best execution requires a firm to seek the best possible result under its execution arrangements, considering relevant factors such as price, costs, speed, likelihood and order size. For a retail client, total consideration, including price and execution costs, is a central comparison. Fair order handling also matters: record instructions promptly, apply allocation rules consistently and avoid disadvantaging one client to benefit another. Transaction records let the firm reconstruct what was ordered, when, where and at what terms. Research introduces a different conflict. Material presented as independent research must meet its relevant safeguards, while non-independent material needs clear identification and controls against misleading impressions of objectivity. Before acting on either, separate the analyst’s evidence from a firm’s possible interest in the security or transaction.
Worked example: A retail client buys 1,000 shares. Venue A offers 100p per share plus 2p per share in execution costs: 102p × 1,000 = £1,020. Venue B offers 100.5p with no extra stated execution cost: 100.5p × 1,000 = £1,005. On these facts, B’s total is £15 lower. A decision based only on the displayed share price would miss the client’s actual cost.
Watch the distinction: The lowest quoted security price is not always the lowest retail purchase cost. Compare the complete executable amount and consider the order’s other relevant execution factors.
Reference: [2]
16. Product governance and client assets
Product governance begins with whom a product is designed to serve, what needs it meets and which customers it is unlikely to suit. A distributor compares that target market with its actual buyers, sales route and disclosures, then uses complaints and outcomes to challenge its assumptions. Asset protection is a separate operational duty. Custody assets are securities or other investments held for clients; client money is cash held under applicable client-money arrangements. Each needs ownership records, appropriate separation from firm property and reconciliations against external records. A difference between an internal ledger and a bank or custodian statement is a signal to investigate, even if it appears to be a surplus. The firm must identify timing items and errors, correct records and protect each client’s entitlement. A strong product disclosure does not fix weak custody controls.
Worked example: A long-term fund is repeatedly sold to clients who need their money next month. The distributor reviews its target-market controls and the sales that may have harmed clients. Separately, its client cash ledger totals £95,000 while the relevant bank balance is £100,000, a £5,000 difference. Staff reconcile transactions and investigate whose cash or entry explains it. The £5,000 cannot simply be treated as the firm’s profit.
Watch the distinction: A bank balance above the client ledger is not automatically harmless. It may reveal a missing client entry or a timing difference that reconciliation must identify.
Reference: [2]
17. Complaints, redress and compensation
A complaint about regulated financial business begins with the firm’s process: capture the allegation, investigate the evidence, assess any customer loss and give a reasoned response under the applicable handling rules. The Financial Ombudsman Service is a separate route for eligible disputes that remain unresolved or meet referral conditions. It can consider what is fair and reasonable in the circumstances, subject to its jurisdiction. The Financial Services Compensation Scheme has another purpose. It may compensate an eligible claimant for a protected claim when an authorised firm has failed and cannot meet its liabilities, subject to the scheme’s rules. A market loss alone is not evidence of unsuitable advice or a valid compensation claim. Diagnose the alleged wrong, the firm’s ability to pay and the claimant’s eligibility before choosing the route.
Worked example: A client says a solvent adviser recommended an investment inconsistent with their recorded need for capital stability. The adviser’s firm investigates the recommendation, notes and losses, then responds. If the eligible client remains dissatisfied, they may refer the dispute to the Financial Ombudsman Service within applicable rules. The FSCS is not the ordinary next step against that solvent firm; it becomes relevant if a qualifying claim cannot be met after firm failure.
Watch the distinction: The Ombudsman and FSCS are not interchangeable appeal stages. One resolves eligible disputes; the other addresses eligible protected claims against failed firms.
Reference: [2]
18. Financial crime and market abuse
Money laundering commonly moves criminal proceeds through placement, layering and integration: entry into the financial system, transactions that obscure origin, and eventual appearance as legitimate wealth. Treat these as analytical stages, not a checklist that every case follows. Unusual account flows, unexplained third parties and trading without a clear economic purpose can justify further inquiry and internal reporting. Staff should preserve records and avoid alerting the client to a suspected report. Market abuse raises related but distinct concerns: inside dealing uses material non-public information, while manipulation gives false or misleading market signals or distorts prices. Bribery involves an improper advantage influencing conduct. A suspicious pattern is a reason to investigate, not proof of a specific offence. Identify the behaviour, preserve evidence and escalate through the correct firm channel.
Worked example: A new client funds an account from several sources, repeatedly buys and sells an illiquid security with little apparent investment purpose, then requests payment to an unrelated third party. The combined pattern warrants investigation into source of funds, trading rationale and payment destination. An employee records the facts and reports internally under financial-crime controls. They do not tell the client that a suspicious activity report may follow or accuse them before the facts are established.
Watch the distinction: No single unusual transfer proves laundering. Equally, a plausible story for one transfer does not explain a broader pattern of layered funding, trading and third-party payments.
Reference: [2]
19. Ownership, agency and trusts
Legal title and economic benefit can belong to different people. A trustee holds and administers trust property for beneficiaries according to the trust instrument and applicable duties. A custodian may hold legal title or records on another party’s behalf, while an agent acts only within the authority granted by a principal. Before accepting investment instructions, verify who can bind the owner and the limits of that authority. For a trust, read the deed, identify beneficiaries and their competing interests, then consider the investment powers, duty of care, diversification, liquidity and expected distributions. A beneficiary’s preference may be relevant, but it is not necessarily a valid instruction to the trustees. Record why the chosen investment serves the trust’s purposes, including the risk of concentrating assets.
Worked example: A trust holds £500,000, and one beneficiary urges its trustees to invest everything in a speculative start-up. The trustees check the deed and planned payments to all beneficiaries, then assess whether a total loss could prevent those payments. A £500,000 concentration would expose the whole fund to one venture. One beneficiary’s approval does not remove the trustees’ duties; they must reach and document their own decision within their powers.
Watch the distinction: Being a beneficiary does not automatically confer authority to direct trust investments. Trustees must follow the deed and duties owed across the relevant beneficiaries.
Reference: [2]
Unit 1: Client advice
20. Build a useful client fact-find
A fact-find turns a proposed investment amount into an affordable amount. Record assets and liabilities, income and spending, dependants, protection, tax position, existing pensions and investments, and foreseeable cash needs. Ask when each asset can actually be accessed and whether a debt has an expensive or variable rate. A cash balance may already be committed to bills, emergencies or near-term goals. Net worth alone therefore does not measure capacity to invest for the long term. Check the reliability of income and whether dependants would be protected if it stopped. Then quantify the objective, reserve suitable liquidity and test what loss the remaining amount could bear. Revisit gaps or contradictions with the client before recommending an allocation. The Investment Management Certificate covers both investment knowledge and its application to clients.
Worked example: A client holds £40,000 cash, owes £15,000 on a credit card and has no emergency reserve. Cash minus debt is £25,000, but even that is not automatically investable. If the client needs a hypothetical £10,000 accessible reserve and uses £15,000 to clear the card, £15,000 remains for other goals: £40,000 − £15,000 − £10,000 = £15,000. The adviser must confirm the debt terms and actual cash needs before investing it.
Watch the distinction: Cash in an account is not the same as surplus investment capital. Debts and near-term needs can claim that cash before any long-term portfolio allocation.
21. Quantify and rank objectives
Start by giving each objective a cash amount, a date and a priority. A house deposit due in three years and retirement income decades away create different demands on savings. Convert a lump sum target into a monthly contribution using the money already set aside and a cautious assumption about growth; a hoped-for investment return should not disguise a funding gap. Next, compare the combined contributions with sustainable surplus after essential spending, debt payments and a cash reserve. If the plan costs more than the client can save, change the contribution, target amount or date explicitly. Protect the most urgent commitment first, then show what the remaining budget can support. Revisit the figures when income or goals change. The Unit 1 syllabus includes quantifying and prioritising client objectives.
Worked example: A client can save £600 each month. They propose £500 monthly for a house deposit in three years and £300 for retirement, requiring £800 in total. The shortfall is £200 monthly. If the deposit is the nearer priority, assigning £500 to it leaves £100 for retirement. Ignoring returns, those contributions would total £18,000 and £3,600 respectively over 36 months; the client must review whether both targets remain adequate.
Watch the distinction: Treating every stated goal as affordable creates a plan with imaginary contributions. Add the monthly amounts first, compare them with sustainable surplus, then agree which amount, deadline or priority must change.
Reference: [2]
22. Risk tolerance and loss capacity
A risk profile has several parts. Risk tolerance describes how much uncertainty and temporary loss a client is psychologically willing to accept. Capacity for loss asks what a decline would do to essential spending and fixed commitments. Investment knowledge affects whether the client understands the exposures being proposed, while the time horizon affects the opportunity to recover from a setback. These can point in different directions. Separate money needed on a known date from longer-term capital before discussing a portfolio-wide risk score. Test plausible losses in pounds, because a percentage can sound harmless until attached to a bill. Diversification may reduce exposure to a single holding, but it cannot make a near-term payment safe from a broad market fall. Record the trade-off and choose risk for each objective rather than averaging incompatible needs.
Worked example: A client holds £100,000 and says a 30% fall would feel tolerable. They need £80,000 for a payment next year. A 30% decline in that earmarked amount is £24,000, leaving £56,000 and a £24,000 funding gap. Their stated willingness does not increase their financial capacity. Separate the £80,000 from longer-term investing and assess the remaining £20,000 against its own purpose and time horizon.
Watch the distinction: A confident answer to a risk questionnaire does not establish loss capacity. A client may accept volatility emotionally yet be unable to meet a dated obligation after a loss.
Reference: [2]
23. Allocate assets before choosing funds
Decide how much each objective needs in cash, bonds, equities or other exposures before comparing named funds. Near-term withdrawals call for accessible assets with limited price uncertainty. Longer horizons may allow more equity risk in pursuit of growth, while bonds can supply income and moderate some equity fluctuations. Set the mix using the client's loss capacity, income needs, currency of spending and ability to leave capital invested. Then check the combined portfolio: two differently named funds may hold the same shares and add little diversification. A strategic allocation is a long-term guide, not a promise that each asset class will behave as expected. Record ranges or review triggers so market moves do not silently turn the portfolio into a different risk decision. Fund selection should implement the chosen exposures at acceptable cost.
Worked example: A £200,000 portfolio includes £40,000 reserved for spending soon. The remaining £160,000 is assigned 60% to equities and 40% to bonds. Equity exposure is £160,000 × 0.60 = £96,000; bond exposure is £160,000 × 0.40 = £64,000. Together with the reserve, these total £200,000. Fund choices should be checked against these amounts, including any equity or bond holdings hidden inside mixed funds.
Watch the distinction: Choosing a popular fund first lets its holdings determine the client's risk by accident. Set the required exposures and liquidity reserve, then select vehicles that deliver them.
Reference: [2]
24. Select funds using more than returns
Compare funds that serve the same portfolio role. First check their holdings, benchmark and currency exposure; similar recent returns can conceal very different risks. Charges reduce the return investors keep, so compare ongoing costs and material dealing or platform charges on a consistent basis. Examine whether the manager's process is understandable and repeatable, and whether results came from that process or one concentrated winning position. Past returns need a suitable period and benchmark, including weak markets. Provider financial strength matters for operational continuity, while independent trustees or depositaries, custodians and auditors help oversee assets and reporting. These checks do not guarantee performance, but they expose reasons why an attractive return may be fragile or costly. Finally, confirm that the fund's liquidity and dealing terms fit the client's withdrawal needs.
Worked example: Two funds hold similar assets and each earns 6% before annual charges. With a simplified charge deduction, a 0.3% charge leaves 5.7%; a 1.1% charge leaves 4.9%. On £100,000, the first-year difference is £100,000 × 0.008 = £800. That is a useful cost comparison, assuming identical gross performance and excluding compounding, trading costs and any difference in risk.
Watch the distinction: The fund with the highest past return is not automatically the best choice. Check whether its benchmark, risk, period and charges make the comparison fair and relevant.
Reference: [2]
25. Explain, implement and review advice
A recommendation should connect each proposed holding to a stated need. Explain the amount invested, the expected role of the asset, material risks, costs, access to cash and what would make the recommendation unsuitable. Use cash examples and check the client's understanding rather than relying on product labels. Implementation then requires confirming the agreed amounts, funding source, account or wrapper, dealing instructions and records. A review is a decision point, not simply an annual performance report. Changes in retirement date, income, dependants, health, tax circumstances or planned spending can alter the necessary asset mix even if markets have been quiet. Compare current holdings with the revised objectives, estimate the consequences of selling or retaining them, and agree changes with attention to costs and tax. Document why the updated plan fits.
Worked example: A client initially expects to retire in 15 years and invests for growth. They later bring retirement forward to three years. The adviser calculates the first years of expected withdrawals and identifies how much must be available without relying on a market recovery. The portfolio may then shift part of its equity exposure toward accessible, lower-risk assets. The change follows the new cash-flow timetable, not a prediction of next year's returns.
Watch the distinction: A good recommendation does not remain suitable merely because the funds performed well. When the client's spending date moves forward, reassess liquidity and loss capacity before retaining the old mix.
Reference: [2]
26. Institutional liabilities shape portfolios
Institutional portfolios start with the promises they must finance. A defined benefit pension scheme promises benefits set by its rules; its sponsor generally bears a funding risk when assets fall short or the value of liabilities rises. Bond yields therefore matter on both sides of its balance sheet. In a defined contribution scheme, the member's eventual pot depends on contributions and investment outcomes, so the member bears more direct market and longevity risk. Life insurers match investments to the timing and nature of policy promises, which may extend many years. General insurers often face less predictable claims and need liquidity for payments that can arrive sooner. For each fund, examine liability timing, inflation sensitivity, cash needs, regulation and tolerance for shortfall before seeking return. An asset that looks safe in isolation can be risky against a mismatched liability.
Worked example: A defined benefit scheme owes a fixed stream of pensions. If yields fall, the present value of those payments rises because they are discounted at a lower rate; the scheme may need assets with similar interest-rate sensitivity. A defined contribution member has no fixed scheme benefit to value in the same way. Poor returns instead reduce the member's pot and potential retirement income. A general insurer would also assess the cash needed for uncertain near-term claims.
Watch the distinction: Applying one cautious asset mix to every institution ignores who bears risk and when cash is owed. Compare assets with the fund's liabilities, rather than judging holdings alone.
Reference: [2]
Unit 1: Taxation in the UK
27. Order income and apply allowances
Classify income before calculating tax. Earnings and pensions are generally non-savings income; bank interest is savings income; dividends form a separate category. Apply the personal allowance according to the case facts, then place taxable non-savings income into the relevant bands before adding savings income and dividends in order. This matters because earlier income uses band capacity, while savings and dividends may have their own allowances or rates. An allowance can reduce tax without necessarily changing how much band space income occupies, so avoid treating all reliefs as identical. Check whether the facts introduce a reduced personal allowance or a trust, which can change the calculation. For the examination window from 1 December 2025 to 30 November 2026, use the version 23 tax tables rather than assuming figures from another year.
Worked example: Under a simplified version 23 case, earnings are £30,000 and savings interest is £1,000. Assume the full £12,570 personal allowance is set against earnings. Taxable earnings are £30,000 − £12,570 = £17,430; adding £1,000 interest gives £18,430 taxable income before testing any savings-specific treatment. The earnings already exceed the £5,000 savings starting-rate limit, so that route offers no relief on these facts.
Watch the distinction: Taxing £31,000 as one undifferentiated amount can apply the wrong rate to interest. Identify income types, use the personal allowance, then test each category's rules in the required order.
28. Gains, losses and investment wrappers
For a direct investment disposal, begin with proceeds and subtract allowable acquisition and disposal costs to find the gain. Set allowable capital losses against gains, then apply the available annual exempt amount and the relevant capital gains tax rate. Keep income distributions separate: a dividend is not part of the sale gain. Timing can matter because losses and the exemption may change the amount exposed to tax, but tax should not be the only reason to sell. An ISA can shelter qualifying investment income and gains within its rules; pension investment returns also receive distinct tax treatment, while access and contribution rules differ. A wrapper's tax benefit does not remove market risk or dealing costs. For version 23, identify the IMC tax-table assumptions before applying a numerical exemption.
Worked example: Shares cost £20,000 and are sold for £27,000, with £500 allowable selling costs. The gain is £27,000 − £500 − £20,000 = £6,500. Set a £1,000 allowable loss elsewhere against it to get £5,500. Assuming the full version 23 £3,000 annual exemption is available, £2,500 remains potentially taxable. The tax due depends on the applicable CGT rate and the person's other taxable income.
Watch the distinction: Subtracting the exemption before checking losses can obscure the correct taxable gain. Work from proceeds to net gains, apply allowable losses and available exemption, then determine the rate.
29. Transfers, trusts and inheritance tax
Inheritance tax analysis begins by identifying what the deceased owned or was treated as owning at death, including relevant interests in property. Deduct liabilities and test exemptions, reliefs and the available nil-rate threshold before applying a rate. Lifetime gifts need their own history: their type, date, recipient and any retained benefit can affect whether and how they enter the calculation. Gifts shortly before death may use threshold capacity that would otherwise shelter the estate. A trust separates legal title from beneficial interests, but transferring assets into one can itself have tax consequences, and some trust interests remain relevant to an estate. Read the trust terms and transaction facts before assuming an asset has disappeared for tax purposes. In advice, compare tax outcomes with control, access and the interests of beneficiaries.
Worked example: Assume a simplified version 23 estate of £425,000, no debts, gifts, exemptions or other reliefs, and a fully available £325,000 nil-rate threshold. The exposed amount is £425,000 − £325,000 = £100,000. At the stated 40% rate, tax is £40,000. A spouse exemption, qualifying residence relief, prior lifetime transfers or trust interests could materially change a real calculation.
Watch the distinction: Putting an asset into a trust does not automatically remove inheritance tax exposure. The transfer, retained rights, trust type and earlier gifts must be examined before calculating the estate's available threshold.
30. Company tax and investment tax routes
Company profit and shareholder return face different tax questions. Calculate corporation tax from the company's taxable profits, accounting period and any adjustments to the profit limits, including associated companies where relevant. In the marginal-relief range, start with tax at the main rate and subtract relief; the intermediate 26.5% figure describes the marginal effect on an additional pound in the simple case, not a flat rate on all profits. An investor may separately face tax on dividends or a share disposal. Property purchases can create transaction taxes, while ISAs, pensions and relief-bearing vehicles follow their own eligibility and access rules. Do not offset an investor's personal allowance directly against a company's taxable profit. HMRC explains the corporation tax rates and marginal relief; the examination calculation should use the stated version 23 assumptions.
Worked example: Assume a 12-month period, no associated companies, no special regime, and £100,000 in both taxable and augmented profits. Using a £250,000 upper limit, 25% main rate and 3/200 relief fraction, tax is £25,000 − (3/200 × £150,000) = £22,750. The effective rate is £22,750/£100,000 = 22.75%. Charging 26.5% on the entire £100,000 would give the wrong answer.
Watch the distinction: The 26.5% intermediate figure is not the effective rate on every pound of profit. Calculate main-rate tax and subtract marginal relief, checking period length and adjusted limits.
Unit 2: Quantitative methods
31. Describe a return distribution
Choose a summary that answers the question. The arithmetic mean averages period returns and is useful for describing a typical single period. The geometric mean compounds their gross return factors and measures wealth growth across several periods. When returns vary, the geometric mean is generally lower because losses must be recovered from a smaller base. A median is often more informative than a mean when a few extreme observations skew a distribution; range and interquartile range reveal spread without relying on a normal shape. Variance and standard deviation measure dispersion around the mean. If observations are the whole population, divide the sum of squared deviations by its size; for a sample estimate, divide by one fewer observation. Label both the period and unit of every statistic. The Unit 2 study guide covers these methods in the wider investment context.
Worked example: An investment returns 20% in year one and loses 10% in year two. The arithmetic mean is (20% − 10%)/2 = 5% a year. But £100 becomes £120, then £120 × 0.90 = £108. The two-year growth factor is 1.08, so the geometric annual return is √1.08 − 1 = about 3.92%. That is the constant annual rate producing £108.
Watch the distinction: Averaging 20% and −10% does not describe two-year wealth growth. Compound the gross return factors first; the arithmetic mean answers a different question.
Reference: [3]
32. Correlation, regression and indices
Correlation describes the direction and strength of a linear association, ranging from −1 to +1, but it does not establish why two series move together. Regression adds a fitted intercept and slope: insert an explanatory value to obtain a model estimate of the dependent variable. Read the slope in its stated units and treat the difference between actual and fitted values as residual variation. R² reports the share of historical variation explained in the fitted sample, not the probability that an individual forecast is correct. Check statistical significance, the amount of data, extreme observations and whether the relationship remains plausible outside the sample. An index adds another choice: a price-weighted index responds more to high-priced constituents, while a capitalisation-weighted index responds more to large companies. Index construction therefore affects what a benchmark represents.
Worked example: Suppose fitted annual return = 2% + 0.8 × annual market return, with R² = 0.64. If the market return is 5%, the fitted return is 2% + 0.8 × 5% = 6%. Historically, this model explained 64% of the variation in the dependent returns; 36% remained unexplained. That makes 6% a conditional estimate, not a guaranteed result or proof that the market caused the return.
Watch the distinction: Reading R² = 0.64 as a 64% chance of earning the fitted return confuses variation explained with forecast probability. Residuals and changing relationships still matter.
Reference: [3]
33. Compound and discount cash flows
A pound today can earn a return before a future payment date, so cash flows at different dates need a common valuation date. For a single amount, future value is present value × (1 + periodic rate) raised to the number of periods; discounting divides by the same factor. Match the rate period to cash-flow timing: a monthly payment needs a monthly rate, and a quoted annual rate may differ from an effective annual rate if compounded more often. For an ordinary annuity, payments arrive at period ends and each is discounted for its own remaining time. Payments at period starts form an annuity due and are worth more because each has one less discount period. State whether rates are nominal or real and use a consistent inflation basis for cash flows and discount rates.
Worked example: At 5% effective annual interest, £1,000 invested for two years grows to £1,000 × 1.05² = £1,102.50. Separately, two £100 payments arrive at the end of years one and two. At a 10% annual discount rate, their present value is £100/1.10 + £100/1.10² = £90.91 + £82.64 = £173.55, allowing for rounding. Their £200 nominal sum ignores timing.
Watch the distinction: Discounting both annuity payments for the same number of periods misvalues one of them. Place each cash flow on a timeline and use a rate with matching periodicity.
Reference: [3]
34. NPV and internal rate of return
Net present value discounts every future cash flow at the required return and subtracts the initial outlay. A positive NPV means the project exceeds that required return under the stated forecasts, and the amount is the estimated value added today. Internal rate of return is the discount rate that makes NPV zero. For a conventional standalone project, IRR above the required return and positive NPV point to the same decision. Competing projects can rank differently: a small project may have a higher percentage IRR yet add fewer pounds than a larger project. Timing differences and changing reinvestment assumptions also matter, while cash flows that change sign more than once can yield unusual IRRs. Use NPV at the relevant cost of capital to compare mutually exclusive choices, then test how sensitive the result is to uncertain forecasts.
Worked example: Pay £100 now and receive £60 at each of the next two year-ends. At a 10% required return, NPV = −£100 + £60/1.10 + £60/1.10² = −£100 + £54.55 + £49.59 = £4.13 after rounding. Solving £100 = £60/(1 + r) + £60/(1 + r)² gives r about 13.07%. This standalone project clears the 10% hurdle on the assumed cash flows.
Watch the distinction: Choosing the highest IRR among projects can sacrifice a larger positive NPV. IRR is a rate; NPV measures value added in money at the chosen required return.
Reference: [3]
Unit 2: Economics
35. Demand, elasticity and firm decisions
A change in a product's own price causes movement along its demand curve; income, preferences, substitutes and other outside factors can shift the curve itself. Own-price elasticity compares the percentage change in quantity demanded with the percentage change in price. Its sign is usually negative, and a magnitude above one means quantity responds proportionally more than price over the measured change. For revenue, multiply the new price factor by the new quantity factor rather than relying only on an approximation. Revenue is not profit: higher prices can reduce units and costs, so the profit effect needs marginal cost. A firm expands output while the extra revenue from another unit exceeds its extra cost, subject to practical capacity and competitive constraints. Distinguish a short-run pricing decision from a lasting change in demand.
Worked example: A price rises by 10% and quantity demanded falls by 20%. Using the initial values as bases, approximate own-price elasticity is −20%/10% = −2. If initial price and quantity are 100 each, revenue is 10,000 units of money. Afterward, price is 110 and quantity 80, giving 8,800. Revenue changes by 8,800/10,000 − 1 = −12%; cost information is still needed to judge profit.
Watch the distinction: Calling a price rise a shift in demand misidentifies the cause. It moves quantity along the existing demand curve unless another determinant changes.
Reference: [3]
36. Economic policy and industry exposure
Economic news affects investments through both expected cash flows and the rate used to value them. Inflation may lift a company's selling prices, but also its wages, materials and financing costs; the net effect depends on pricing power. Higher interest rates can increase borrowing costs and discount rates, weighing particularly on distant cash flows, while banks or cash-rich firms may respond differently. Fiscal spending and taxes influence demand and after-tax income. The business cycle changes sales volumes, defaults and operating leverage across industries. Separate nominal growth, measured in current money, from real growth after price changes. Use the exact ratio of nominal growth factors when the distinction matters; subtracting inflation is only an approximation. A broad economic forecast is a starting condition, not a direct prediction of one company's profit.
Worked example: A company reports 6% higher nominal revenue while the relevant price level rises 4%. Approximate real growth is 6% − 4% = 2%. The exact calculation is 1.06/1.04 − 1 = 0.01923, or about 1.92%. If its output mix and relative prices are broadly unchanged, only about 1.92% represents real revenue growth. This calculation alone cannot establish that physical unit sales grew by precisely that amount.
Watch the distinction: Treating all nominal revenue growth as extra sales volume ignores price inflation. Deflate by the relevant price factor, then examine mix and company-specific pricing.
Reference: [3]
37. Exchange rates and parity
Exchange rates reflect demand for currencies from trade, investment and financing flows. Always state the quotation convention: pounds per dollar rises when a dollar costs more pounds, meaning sterling has weakened against the dollar. Covered interest parity connects spot and forward rates through the two currencies' interest rates. With a quote in pounds per dollar, a one-year forward pound price of a dollar equals spot × (1 + sterling rate)/(1 + dollar rate), under matching periods and comparable borrowing and lending terms. The forward contract fixes a conversion rate for a future transaction; it is a hedge, not a promise about future spot. In practice, spreads, credit terms and market frictions affect executable prices. Purchasing power parity uses relative inflation as a different, imperfect guide to longer-run currency adjustment.
Worked example: Suppose spot is £0.80 per dollar, one-year sterling interest is 5%, and one-year dollar interest is 2%. The covered forward is £0.80 × 1.05/1.02 = £0.823529, or about £0.8235 per dollar. A dollar payable in one year can be hedged at this theoretical rate under the assumptions. The higher sterling interest rate explains the forward quote; the eventual spot rate may differ.
Watch the distinction: Reversing the interest-rate ratio gives the wrong forward quote. Write the currency units first, then check that the formula still produces pounds per dollar.
Reference: [3]
Unit 2: Accounting
38. Read the three statements together
Read profit, financial position and cash flow as connected views of the same business. An income statement records revenue and expenses when recognised, which need not coincide with cash receipts and payments. The statement of financial position captures the resulting receivables, inventories, payables and financing at a date. The cash-flow statement reconciles operating profit with cash by adjusting non-cash charges and working-capital movements, then separates investing and financing flows. Rising receivables can make reported sales and profit grow while cash collection weakens. That pattern may be normal during expansion, but it can also signal slow-paying customers or aggressive revenue recognition. Compare the size and age of receivables with sales and check whether later cash arrives. One period's negative operating cash flow requires explanation, not an automatic verdict on profitability.
Worked example: Assume a company sells £100,000 of goods on credit, recognises £70,000 of related expenses, and pays those expenses immediately. Profit from these transactions is £100,000 − £70,000 = £30,000. No customer cash has arrived, so related cash flow is −£70,000; receivables rise by £100,000. The reconciliation is £30,000 profit − £100,000 increase in receivables = −£70,000 cash flow.
Watch the distinction: Profit of £30,000 does not mean cash rose by £30,000. Credit sales create receivables, and the cash effect appears only when customers pay.
Reference: [3]
39. Asset values and accounting estimates
Reported asset values depend partly on estimates. Depreciation spreads an asset's depreciable cost, purchase cost less expected residual value, across its useful life; it is an expense, not a measure of cash paid that year or necessarily of market value lost. Straight-line depreciation allocates equal annual amounts, while reducing-balance methods charge a fixed percentage of a declining carrying amount. Inventory is assessed against the amount expected to be recovered, so damaged or obsolete stock can require a write-down. A provision recognises a present obligation when an outflow is probable and can be estimated reliably; a contingent liability generally concerns a possible obligation or one that fails the recognition tests and may require disclosure. Examine changes in useful lives, residual values and provisions when profit improves, because revised estimates can alter profit without changing underlying cash performance.
Worked example: Equipment costs £50,000, with an estimated £5,000 residual value after five years. Under straight-line depreciation, annual expense is (£50,000 − £5,000)/5 = £9,000. After two full years, accumulated depreciation is £18,000 and carrying amount is £50,000 − £18,000 = £32,000. That assumes the estimates remain valid and no impairment, revaluation or disposal occurs; £32,000 is not necessarily a sale price.
Watch the distinction: A carrying amount is an accounting figure, not a guaranteed market value. Depreciation follows an estimate of cost allocation, and impairment may require a separate adjustment.
Reference: [3]
40. Group accounts and acquisition value
A subsidiary is controlled by the parent and its assets, liabilities, income and expenses are brought into consolidated group accounts, with intra-group transactions eliminated. An associate is subject to significant influence rather than control and is generally represented through the investor's share of its results and net assets. If the parent owns less than all of a subsidiary, a non-controlling interest shows the portion attributable to other owners; it is not group debt. At acquisition, compare the consideration and any required non-controlling-interest measurement with the fair value of identifiable net assets acquired. The residual can be goodwill, reflecting expected benefits that cannot be separately identified and recognised. Goodwill's later treatment depends on the reporting framework, including impairment assessment and, under some UK GAAP circumstances, amortisation. A high goodwill balance deserves scrutiny when acquisition expectations weaken.
Worked example: A buyer pays £90 million for 100% of another company. Assume the acquisition-date fair value of identifiable net assets is £75 million, with no other consideration or adjustment. Initial goodwill is £90 million − £75 million = £15 million. Consolidated accounts include the acquired assets and liabilities at the relevant acquisition values, plus goodwill. If expected benefits later disappoint, the £15 million may require impairment assessment under the applicable reporting framework.
Watch the distinction: Goodwill is not cash or a separately identified asset waiting to be collected. It is the residual acquisition value after identifiable net assets have been measured.
Reference: [3]
41. Use ratios to diagnose a business
Start with the question a ratio answers. Operating margin measures profit earned per pound of sales; capital turnover measures sales generated per pound of capital employed. Multiply them and sales cancel, giving return on capital employed, or ROCE: operating profit divided by capital employed. This breakdown helps diagnose whether a change in ROCE came from pricing and costs, asset use, or both. Return on equity instead compares profit attributable to ordinary shareholders with their equity and can rise when borrowing increases, even if operations do not improve. For short-term resilience, the current ratio compares current assets with current liabilities; the quick ratio removes inventory because it may take time to sell. Gearing compares debt with a defined capital base. Check each ratio's denominator and compare several periods and peers before drawing a conclusion. These measures are within the Unit 2 syllabus.
Worked example: Operating profit is £20 million, sales are £200 million and capital employed is £100 million. Operating margin is £20 million/£200 million = 10%; capital turnover is £200 million/£100 million = 2 times. ROCE is 10% × 2 = 20%, agreeing with £20 million/£100 million. If sales later rise without more capital, turnover could improve even if margin stays at 10%.
Watch the distinction: A higher ROCE does not automatically mean stronger margins. The firm may simply generate more sales from the same capital, or a smaller capital base may inflate the ratio.
Reference: [3]
Unit 2: Asset classes
42. Rights issues and shareholder value
A rights issue offers existing shareholders new shares in a stated proportion, usually below the current market price. It raises cash for the company while giving holders a way to maintain their percentage ownership. The theoretical ex-rights price, or TERP, spreads the old shares' market value and the subscription cash across all shares after issue. For one new share per three old shares, TERP equals (three times the cum-rights price plus the subscription price) divided by four. The value attached to each old share is its cum-rights price less TERP; the value of a right to buy one new share is TERP less the subscription price. A holder can normally subscribe, sell tradable nil-paid rights, or allow them to lapse. Compare cash available, desired exposure and dealing costs. The calculation assumes no other price changes and does not predict the actual ex-rights market price.
Worked example: Three shares at £12 are worth £36. The holder can pay £8 for a fourth, making total invested value £44; TERP is £44/4 = £11. Each old share carries £12 − £11 = £1 of theoretical rights value, so three rights are worth £3. Subscribing produces four shares worth £44 after an £8 payment. Selling the three rights instead gives £3 cash alongside three shares worth £33.
Watch the distinction: A discounted subscription price is not a free gain. The existing shares' theoretical price falls when the rights detach; value is preserved by subscribing or selling valuable rights.
Reference: [3]
43. Equity valuation and growth assumptions
A share's value depends on future cash available to its owner and the return required for bearing risk. In the constant-growth dividend model, value equals next year's dividend divided by required return minus perpetual dividend growth. Growth must be below the required return, and the model works best when dividends reflect sustainable distributions. Test that growth against earnings, reinvestment needs and return on retained equity; a high dividend today can weaken future growth if it leaves too little to reinvest. Price-to-earnings compares a market price with earnings per share, but accounting policies, leverage and cyclical profits affect that multiple. Free cash flow valuation focuses on cash after necessary investment and can help where dividends poorly represent economic capacity. Compare assumptions, not just calculated values. The Unit 2 study guide can be used alongside these valuation exercises.
Worked example: A share paid a £2 dividend. Assume dividends grow by 4% each year indefinitely and investors require 9%. Next year's dividend is £2 × 1.04 = £2.08; model value is £2.08/(0.09 − 0.04) = £41.60 per share. If sustainable growth were only 3%, the same method gives £2.06/(0.09 − 0.03) = £34.33. The growth assumption materially changes the answer.
Watch the distinction: Putting the latest paid dividend straight into the numerator understates this model's value when growth is positive. Use the next expected dividend and test whether constant growth is credible.
Reference: [3]
44. Bond cash flows and quoted prices
Price a conventional fixed-rate bond by discounting each remaining coupon and the redemption payment at the required yield for the relevant period. When yield rises, the present value of those fixed payments falls. A bond with a coupon rate below its required yield therefore generally trades below par, provided redemption is at par and there are no special features. A quoted clean price excludes accrued coupon interest. The buyer usually pays a dirty price equal to clean price plus accrued interest, compensating the seller for the part of the coupon period already elapsed. Accrued interest is a timing allocation, not an extra investment return. Check coupon frequency, payment dates, redemption amount and whether the quoted yield matches the compounding convention. Issuer default risk can make promised cash flows uncertain, so the discounted price is only as useful as its cash-flow and yield assumptions.
Worked example: Immediately after a coupon date, a £100 bond has two annual £5 coupons left and repays £100 with the second coupon. At a 6% annual yield, price is £5/1.06 + £105/1.06² = £4.72 + £93.45 = £98.17, rounded. It is below £100 because its 5% coupon rate is below the required 6%. On that coupon date, accrued interest is zero.
Watch the distinction: Do not add accrued interest to a price calculated immediately after a coupon payment. At other settlement dates, distinguish the clean market quote from the dirty cash settlement amount.
Reference: [3]
45. Duration, credit and the yield curve
Macaulay duration is the present-value-weighted average time until a bond's payments arrive. Modified duration converts that timing measure into an approximate percentage price response to a small yield change: modified duration equals Macaulay duration divided by one plus the yield per coupon period. Multiply modified duration by the yield change, with the opposite sign, to estimate the price move. The estimate assumes a parallel change in the relevant yield and becomes less accurate for larger moves because the price-yield relationship is curved. Longer maturity and lower coupons usually increase duration. Credit spread widening can lower a corporate bond's price even if government yields are unchanged. A yield curve can also twist, affecting payments at different maturities differently. Meanwhile, coupon reinvestment risk works in the other direction: lower yields boost today's bond price but reduce the return available when coupons are reinvested.
Worked example: Assume annual coupons, a 6% annual yield and Macaulay duration of 4.5 years. Modified duration is 4.5/1.06 = 4.245 years. If the required yield rises by one percentage point, the estimated price change is −4.245 × 0.01 = −4.245%, before convexity. A £1,000 initial bond value would become approximately £957.55. The estimate excludes any separate credit-spread change.
Watch the distinction: Duration is a local estimate, not a guaranteed loss for every one-point yield rise. Convexity, non-parallel curve moves and changes in credit spreads can alter the actual result.
Reference: [3]
46. Derivative payoffs and exposures
A forward commits two parties to exchange an asset later at an agreed price; its bilateral terms create counterparty exposure. A future has a similar directional payoff but standard terms and daily variation margin through clearing. An option gives its buyer a right, not an obligation, in exchange for a premium; the seller takes the corresponding obligation. A swap exchanges specified cash-flow streams, such as fixed for floating interest, across dates. Identify the underlying exposure, who must perform, when cash moves and how collateral affects liquidity. For a call at expiry, buyer payoff is the greater of market price minus strike or zero. Subtract the premium to obtain profit. The buyer's maximum loss on a simple purchased call is the premium, while the seller's uncovered exposure can be much larger. Before comparing strategies, distinguish payoff from profit and expiry value from earlier option value.
Worked example: A call option has a £100 strike and a £7 premium per share. If the share finishes at £112, exercise value is £112 − £100 = £12; buyer profit is £12 − £7 = £5 per share before charges. If it finishes at £95, exercise value is zero and the buyer loses the £7 premium. Break-even at expiry is £107.
Watch the distinction: An in-the-money call need not be profitable for its buyer. Its exercise value must exceed the premium paid, plus any relevant costs, before the trade makes money.
Reference: [3]
47. Hedge a portfolio with futures
An equity-index future can offset broad market exposure without selling every share. First estimate the portfolio's market sensitivity as portfolio value multiplied by beta. Divide by the current value represented by one futures contract, including its multiplier, to obtain the number of contracts. Short futures hedge a long equity portfolio; long futures add market exposure. Beta is an estimate from past relationships, so recheck it as holdings and markets change. The hedge targets index-driven moves and leaves stock-specific risk. Basis risk arises because futures and cash prices do not always move together before expiry. Futures also require margin: a hedge that eventually offsets a portfolio loss can still demand cash after an adverse short-term futures move. Contract rounding and changes in portfolio value prevent an exact hedge. State the hedge horizon and compare the future's underlying index with the portfolio's actual exposures.
Worked example: A £10 million equity portfolio has estimated beta 1.2 to its chosen index. Each futures contract represents £100,000 of current index exposure. Target short exposure is £10 million × 1.2 = £12 million, requiring £12 million/£100,000 = 120 short contracts. The position aims to neutralise estimated market sensitivity. It does not insure against poor stock selection or a changing beta.
Watch the distinction: Shorting contracts equal only to portfolio value ignores beta. A portfolio with beta 1.2 needs approximately 20% more index exposure hedged than a beta-one portfolio.
Reference: [3]
48. Commodity exposure and digital assets
Commodity exposure can come from physical holdings, futures or pooled products, and each route produces a different return. Physical assets may require storage, insurance and transport; some commodities are impractical to hold directly. A future avoids storage by the investor but introduces margin, contract expiry and roll effects. When later futures are more expensive than near contracts, repeatedly replacing an expiring long contract can create a drag if prices otherwise remain stable. A commodity fund adds its own fees, tracking method and possible counterparty exposure. Spot-price change alone therefore does not determine investor return. Cryptocurrencies are digital assets with distinct custody, exchange, operational and valuation risks; they do not confer a contractual claim on cash flows merely because a token trades actively. Assess the economic exposure, legal or operational claim, liquidity and loss mechanism before treating any alternative asset as a diversifier.
Worked example: An investor enters a long future at 105 units of currency per commodity unit when spot is 100. At expiry, suppose spot remains 100 and the future converges to 100. Futures profit is 100 − 105 = −5 per unit, before fees and any return on collateral. The unchanged spot price did not protect the long future from the initial futures premium.
Watch the distinction: A flat commodity spot price does not imply a flat futures return. Entry price, convergence and repeated rolls matter, along with collateral income and fund charges.
Reference: [3]
49. Property income and valuation
A simple income capitalisation values property by dividing sustainable annual net income by an appropriate yield. Net income should reflect the landlord's expected receipts after relevant property costs, rather than merely the headline contracted rent. The yield must reflect comparable assets and differences in location, tenant credit, remaining lease, rent reviews, vacancy risk and building condition. A higher required yield lowers the value for the same income. Check whether current rent is above or below what a new tenant would pay, and whether a lease event changes expected cash flows. Direct property is illiquid, has substantial transaction costs and may rely on appraisals between actual sales; a quoted property vehicle adds market-price behaviour. For a decision, stress both the income and yield assumptions, then consider repairs, environmental liabilities and time needed to sell. A single capitalised figure is a starting estimate.
Worked example: Assume a property can sustainably deliver £80,000 annual net income and comparable risk supports a 5% capitalisation yield. Estimated value is £80,000/0.05 = £1.6 million. If expected vacancy and repairs reduce sustainable net income to £70,000, value at the same yield falls to £1.4 million. If risk also lifts the required yield to 5.5%, value becomes about £1.27 million.
Watch the distinction: Dividing gross rent by a comparable net yield overvalues a property when the owner bears costs or vacancies. Match the income definition to the yield basis.
Reference: [3]
50. Hedge funds and private commitments
Hedge funds are defined more by their flexible strategies than by a single asset class. They may use long and short positions, leverage, derivatives or relative-value trades, so examine the actual sources of return and loss. A market-neutral label does not remove funding, short-sale or liquidity risk. Private equity and other unlisted assets have different mechanics: investors commit capital, managers call it over time, and holdings may remain difficult to sell for years. Reported valuations can rely on models or infrequent transactions and may smooth apparent volatility. An unfunded commitment is still a potential cash requirement, so reserve liquidity for calls and avoid counting undrawn cash as permanently free. Compare fees, borrowing, redemption terms, concentration and valuation governance across vehicles. Diversification claims require evidence about economic exposures, especially when correlations change during market stress.
Worked example: An investor commits £5 million to a private equity fund. The manager has called £2 million, leaving £5 million − £2 million = £3 million unfunded. Current holdings are reported at £2.4 million, implying a £0.4 million uplift on drawn capital before other cash flows and fees. That valuation does not cancel the remaining £3 million obligation; future calls could arrive when other assets are hard to sell.
Watch the distinction: Do not treat a commitment as if it were fully invested or fully optional. Drawn capital measures cash already paid; the unfunded balance can still become payable.
Reference: [3]
Unit 2: Investment theory, management and measurement
51. Diversification depends on correlation
Portfolio risk depends on how holdings move together, not simply on their individual volatility. For two assets, variance equals each weight squared times its asset variance, plus twice the product of weights, volatilities and correlation. Correlation ranges from −1 to +1 and describes the direction and strength of a linear relationship. Low correlation reduces combined volatility because losses in one asset are less likely to coincide exactly with losses in the other. It does not remove either asset's expected loss or protect against every extreme event. Covariance and correlation estimated from past returns can change when liquidity dries up or common economic shocks dominate. Check that data periods, currencies and return frequencies match before using the estimate. Diversification is most useful when assets bring genuinely different economic exposures, rather than several labels for the same risk.
Worked example: Two assets each have 10% annual volatility, zero correlation and equal 50% weights. Portfolio variance is 0.5² × 0.10² + 0.5² × 0.10² + 2 × 0.5 × 0.5 × 0.10 × 0.10 × 0 = 0.005. Volatility is √0.005 = 7.07% annually, below either asset's 10%, assuming the stated volatilities and correlation persist.
Watch the distinction: A correlation of zero does not mean one asset will rise when the other falls. It means their measured linear co-movement is zero over the chosen data.
Reference: [3]
52. Choose a useful risk measure
Choose a risk measure that matches the question. Volatility describes dispersion of returns, including upside moves, and is useful for comparing liquid portfolios under reasonably stable conditions. Drawdown measures the decline from a prior peak to a trough, revealing the loss an investor experienced along a path. Value at risk estimates a loss boundary for a specified horizon and probability under a model; it says little by itself about losses beyond that boundary. Tracking error measures variability of returns relative to a benchmark, so it suits active mandates. Active share measures how different portfolio weights are from benchmark weights, without measuring return volatility. These measures answer different questions and may disagree. For a client with a cash need, also assess absolute loss, liquidity and recovery time. For a benchmarked manager, distinguish unintended benchmark deviation from deliberate active positions.
Worked example: A portfolio starts at £100, reaches £120, falls to £90 and later recovers to £125. The largest decline from the prior peak is (£120 − £90)/£120 = 25%. Its later gain does not change that historical maximum drawdown. A £100-to-£90 calculation would give 10%, but it misses the actual peak from which the investor fell.
Watch the distinction: A later recovery does not erase a drawdown. Likewise, a low tracking error only describes benchmark-relative stability; the portfolio and benchmark might both lose heavily.
Reference: [3]
53. Beta, CAPM and factor exposure
Beta measures how sensitively a security's returns have moved with market returns: covariance with the market divided by market variance. A beta above one signals greater estimated market sensitivity, while diversification can reduce investment-specific risk without eliminating market risk. The capital asset pricing model, or CAPM, estimates required return as risk-free rate plus beta times the expected market excess return. Its logic is that investors need compensation for systematic risk that a broad portfolio cannot diversify away. Compare a forecast return with this model-based hurdle only after checking the forecast's horizon, the market proxy and the risk-free rate's currency. Historic beta is unstable when a business changes leverage or operations. Other common exposures, such as size, value or momentum, may help explain returns that a one-factor beta misses. CAPM is a decision aid based on assumptions, not an observed guarantee.
Worked example: Assume a 3% annual risk-free rate, an 8% expected annual market return and beta 1.2. The market risk premium is 8% − 3% = 5%, so CAPM required return is 3% + 1.2 × 5% = 9% annually. If the investor forecasts only 7%, the forecast falls 2 percentage points below this model-based hurdle, subject to uncertainty in every input.
Watch the distinction: Beta 1.2 does not mean the investment must return 20% more than the market. It scales the market risk premium in CAPM, while actual returns can differ substantially.
Reference: [3]
54. Market efficiency and behaviour
Market efficiency asks how quickly available information is reflected in prices. If a widely known signal is already priced, buying on it may not earn a return after risk and costs. Evidence of historical anomalies challenges a simple efficiency story, but a published pattern may weaken as investors trade it. Behavioural tendencies such as overconfidence, loss aversion and herding can contribute to mispricing; they can also tempt an analyst to see patterns in noise. Evaluate an apparent opportunity by checking the data period, risk exposures, out-of-sample results and whether trades could actually be executed at assumed prices. Include management charges, spreads, turnover, market impact and taxes where relevant. A small paper excess return may be too fragile to survive those frictions. Limits to arbitrage, including borrowing constraints and uncertain timing, can let an apparent mispricing persist without making it safely profitable.
Worked example: A strategy has historically beaten its benchmark by 1.0 percentage point per year before costs. Assume annual management costs of 0.8 percentage points and trading impact of 0.4 percentage points. Simplified net excess return is 1.0 − 0.8 − 0.4 = −0.2 percentage points per year. Even if the historical signal repeats exactly, these assumptions leave investors behind the benchmark.
Watch the distinction: Finding an anomaly in old data is not enough to establish an investable edge. Check risk, data selection, capacity and trading costs before treating the pattern as profit.
Reference: [3]
55. Strategic and tactical allocation
Strategic asset allocation is the long-term policy mix chosen to fit objectives, liabilities, horizon and risk capacity. Tactical allocation is a deliberate, usually temporary departure based on a market view. Measure the departure as portfolio weight minus policy or benchmark weight for each asset class. Because weights still sum to 100%, an overweight must be funded by an underweight elsewhere unless leverage or cash changes the framework. The relative effect of a small switch is approximately the active weight multiplied by the return difference between the two assets. Record why the view is held, its expected horizon and the condition for reversing it. Otherwise a failed tactical position can quietly become an unintended new policy. Rebalancing a policy mix after market moves is different from expressing a fresh forecast, even though both involve trades.
Worked example: A policy mix is 60% equities and 40% bonds. A manager moves to 65% equities and 35% bonds, creating a five-percentage-point equity overweight funded by bonds. If equities return 4 percentage points less than bonds over the measurement period, approximate relative return is 0.05 × −4% = −0.2 percentage points, or about £2,000 on a £1 million portfolio before costs.
Watch the distinction: A five-point equity overweight is not a 5% increase in total portfolio value. It is a change in allocation whose contribution depends on equity returns relative to the funding asset.
Reference: [3]
56. Match products to portfolio needs
Start with the needed exposure, then choose a vehicle whose dealing terms and risks fit the portfolio. Direct holdings give control but can require substantial capital and research. Open-ended funds issue or redeem units against their assets; their dealing price follows a valuation process, with liquidity management important when underlying assets are hard to sell. Investment trusts have a fixed share base and trade on an exchange, so market price can sit above or below net asset value. ETFs also trade intraday, but examine their index method, spreads, creation mechanism and underlying liquidity. Structured products combine instruments to deliver a specified payoff; inspect issuer credit risk, caps, barriers and exit terms rather than relying on the headline return. For any vehicle, compare total charges, diversification, cash access, tax treatment and what happens in stressed markets. The wrapper can add risks beyond the assets it holds.
Worked example: An investment trust reports net asset value of £100 per share and trades at £90. Its discount is (£100 − £90)/£100 = 10%. If net asset value stays £100 but the discount widens to 20%, the share price falls to £80: a £10 loss, or 11.11% of the £90 purchase price, before dividends and costs. Asset stability alone would not protect this buyer.
Watch the distinction: A discount to net asset value is not a guaranteed bargain. It can persist or widen, so an investor's realised return depends on both asset value and market discount.
Reference: [3]
57. Manage bonds against liabilities
A bond portfolio supporting promised payments should be assessed against the liability's dates and sensitivity, not only its own return. Cash-flow matching holds assets expected to pay when liabilities fall due, reducing dependence on selling at uncertain prices. Duration-based immunisation matches the present value and interest-rate sensitivity of assets and liabilities; it can fail as yields move, cash flows change or the yield curve twists, so it needs monitoring and rebalancing. Liability-driven investment, or LDI, uses assets and sometimes derivatives to manage liability risks while retaining a separate return-seeking portfolio. Derivatives can achieve interest-rate exposure with less initial cash, but adverse market moves may require collateral at short notice. Test liquidity under stress as well as the economic hedge. Distinguish a fall in asset value from a rise in liability value: either can weaken funding, and both can occur together.
Worked example: Assume a £50 million pension liability has modified duration 10 years, while £50 million of matching assets has modified duration 5 years. For a small one-percentage-point yield fall, liability value rises approximately £50 million × 10 × 0.01 = £5 million; asset value rises about £50 million × 5 × 0.01 = £2.5 million. The funding shortfall widens by roughly £2.5 million, before convexity and other changes.
Watch the distinction: Equal asset and liability values do not imply an interest-rate hedge. Their cash-flow timing and yield sensitivities must also align, and collateral needs can create a separate liquidity problem.
Reference: [3]
58. Integrate ESG claims into decisions
ESG integration includes environmental, social and governance information in ordinary investment analysis because it may affect cash flows, financing or risk. An exclusion rule instead bars defined activities or issuers; its effectiveness depends on precise criteria and reliable holdings data. Impact investing adds an intention to produce and measure a specified real-world outcome alongside financial objectives. These approaches can overlap, but one label does not establish the others. Examine the product's published rule, revenue thresholds if any, look-through holdings, data gaps and how breaches are handled. A diversified company may have both activities a fund favours and activities it claims to exclude. Stewardship claims should identify the engagement or voting action and evidence of progress. Assess costs, concentration and performance implications as well as stated aims. The ESG investing guide offers related study context.
Worked example: A fund says it excludes fossil-fuel producers but holds a company with substantial fossil-fuel revenue alongside renewable operations. First read whether its exclusion covers any production, a defined revenue share, or only certain fuels. Then compare the rule with verified company revenue and the fund's holdings date. If the holding breaches the stated criterion, the manager needs a credible explanation or corrective action; the label alone settles nothing.
Watch the distinction: ESG integration does not necessarily mean fossil-fuel exclusion or measurable impact. Identify the actual investment rule and evidence before inferring what a sustainability label promises.
Reference: [3]
59. Separate manager return from cash timing
Time-weighted return measures the manager's investment performance by splitting the history at external cash flows and linking each subperiod return. A client contribution should not be counted as an investment gain. Money-weighted return is the internal rate of return on the client's dated cash flows, so it reflects when larger amounts were invested. The two measures can differ even when both are calculated correctly. Use time weighting to compare a manager with a benchmark when the manager does not control client contributions and withdrawals. Use money weighting to describe the investor's experienced return or assess a strategy whose manager controls cash timing. For each subperiod, value the portfolio immediately before an external flow, calculate the return, then multiply one plus each return and subtract one. Keep fees and valuation dates consistent. Further performance measurement study develops these distinctions.
Worked example: A portfolio starts with £100, grows 10% to £110, then receives a £100 client contribution. The £210 balance loses 10%, ending at £189. Time-weighted return is 1.10 × 0.90 − 1 = −1%. For equal one-year periods, money-weighted rate solves £100(1 + r)² + £100(1 + r) = £189, giving r about −3.71% annually. More money faced the losing period.
Watch the distinction: Do not divide final value by initial value when the client added cash. That would count the contribution as performance and obscure the return actually earned.
Reference: [3]
60. Attribute and adjust performance
Performance evaluation needs a benchmark that reflects the portfolio's investable universe, currency, risk and mandate. Attribution then asks where the difference arose: allocation effects come from different sector or asset weights, while selection effects come from returns within those groups. Interaction can arise when both weights and within-group returns differ. A high absolute return may still disappoint against a relevant benchmark. Risk-adjusted measures answer different questions. Sharpe divides excess return over a risk-free rate by total return volatility; Treynor uses beta, making market risk the denominator. Information ratio divides benchmark-relative return by tracking error. Jensen's alpha compares return with a CAPM-based required return. Interpret each using matching periods and consistent return conventions, and beware unstable risk estimates. No single measure establishes skill: check persistence, fees, exposure changes and whether the benchmark is appropriate.
Worked example: A portfolio returns 10% annually, the risk-free rate is 2% and annual return volatility is 16%. Sharpe ratio is (10% − 2%)/16% = 0.50. Suppose another portfolio returns 12% with 25% volatility and the same risk-free rate: its Sharpe ratio is (12% − 2%)/25% = 0.40. The first has the higher return per unit of total volatility under these assumptions.
Watch the distinction: Sharpe and information ratios are not interchangeable. Sharpe uses total volatility and a risk-free reference; information ratio uses tracking error and a relevant benchmark.
Reference: [3]
Official references and further reading
- Investment Management Certificate (IMC) | CFA UK
- Existing article reference
- Official IMC Unit 2 syllabus version 23, local OCR
- Official CFA UK IMC source PDF, local OCR
- Corporation Tax rates and allowances - GOV.UK