ACCA Applied Skills · Financial Management

The nature and types of risk and approaches to risk management: formula sheet

Full chapter guide

Key formulas

Risk vs uncertainty: Risk = outcomes and probabilities can be estimated; Uncertainty = they cannot; Use this wording to define the terms in a written answer.
Total risk to shareholders: Business risk + Financial risk; Business risk is from operations; financial risk is from gearing and market exposures.
Financial gearing (one measure): Debt ÷ Equity, or Debt ÷ (Debt + Equity); Higher gearing means higher financial risk. State which measure you use.
Operating gearing (one measure): Contribution ÷ Profit before interest and tax; Higher fixed operating costs mean higher business risk.
Transaction exposure (receivable): Home currency received = foreign amount ÷ exchange rate at settlement (rate quoted as foreign per 1 home); Check the quote direction first. A fall in the foreign currency reduces the home currency you receive.
Transaction exposure (payable): Home currency paid = foreign amount ÷ exchange rate at settlement; A fall in the foreign currency reduces the cost of a payable. A rise increases it.
Translation of net assets: Net assets in reporting currency = foreign net assets ÷ closing rate (foreign per 1 reporting currency); The change in the rate gives a translation gain or loss. It is not a cash flow.
Classification test: One deal → transaction; consolidated accounts → translation; long-term competitiveness → economic; Use this to label any scenario quickly.
Interest cost change from a rate move: Change in annual interest = Floating debt × change in rate; Apply only to the floating part of debt. Fixed debt does not change until it is refinanced.
Interest cover: Interest cover = Profit before interest and tax ÷ Interest; Use it to show how a rate rise squeezes a highly geared firm.
Expectations theory (annual compounding): (1 + long rate)^n = (1 + s1) × (1 + f2) × ... × (1 + fn); s1 is today's one-year rate and f2 to fn are expected future one-year rates.
Liquidity preference theory: Long-term yield = Expected average short rate + liquidity premium; The premium usually rises with maturity. It is a rule of the theory, not a number to calculate unless given.
Risk assessment: Risk exposure = likelihood × impact; A qualitative guide. Rank risks by high or low likelihood and impact to decide the response.
Response matrix: Low likelihood, low impact → accept; High likelihood, low impact → reduce (control); Low likelihood, high impact → transfer (for example insurance); High likelihood, high impact → avoid, or reduce if the activity is worth keeping; A rule of thumb only, not a fixed law. Avoid only if the returns do not justify the risk. Always check the scenario and the cost of the control.
Hedging consideration: Compare the cost of hedging with the potential loss, alongside risk appetite and treasury policy; A general consideration, not a fixed rule. The value of the risk removed is hard to measure. A firm with low risk appetite, or one whose treasury policy requires hedging, may hedge even when the expected cost is higher than the expected benefit.

Quick revision

Financial risk is the possibility of loss from uncertain market movements, such as exchange rates, interest rates and prices.
Transaction risk affects cash flows from trading in a foreign currency between the deal date and settlement.
Translation risk affects reported figures when foreign subsidiaries' results are converted to the parent's currency; it is usually non-cash.
Economic risk is the long-term effect of currency changes on a firm's competitive position and future cash flows.
Interest rate risk arises from changes in rates: floating-rate borrowers lose when rates rise, and fixed-rate borrowers may lose when rates fall.
Gap exposure arises when assets and liabilities reprice at different times or on different bases.
A normal yield curve slopes upwards, with longer maturities having higher yields.
Expectations theory says the curve reflects expected future short-term rates.
Liquidity preference theory says investors demand extra yield for lending long term.
Risk responses are avoid, reduce, transfer or accept.
Hedging reduces the variability of outcomes and does not guarantee a better result.
In written answers, tie every point to the company in the scenario.

Common mistakes

Treating risk and uncertainty as the same thing. Fix: Say risk has estimable probabilities and uncertainty does not. Add a short example.
Calling gearing a business risk. Fix: Business risk comes from operations. Gearing creates financial risk. Operating gearing is the link to business risk.
Calling translation risk a cash flow risk. Fix: Remember that translation is restating balances on paper. No cash moves unless the subsidiary pays a dividend or is sold.
Saying economic risk only affects companies that trade overseas. Fix: A purely domestic firm can lose sales if a strong home currency makes imported competitors cheaper. Mention this in your answer.
Saying fixed-rate debt removes all interest rate risk. Fix: Say it removes cash flow risk but leaves opportunity cost if rates fall, and the rate is exposed at refinancing.
Applying a rate change to total debt when part is fixed. Fix: Underline the floating balance first and use only that figure.
Treating hedging as a way to make profit. Fix: Hedging aims to remove variability, not to gain. A hedge may give up upside. Speculation aims for profit.
Confusing transfer with reduce. Fix: Transfer moves the risk to a third party, such as an insurer or bank. Reduce keeps the risk but makes it smaller, for example by diversifying.

Exam tips

In written answers, define the term first, then apply it to the scenario. Marks usually come from the application.
In OT questions, look for the trigger word in the scenario. It almost always points to one risk type.
Keep business risk and financial risk apart. Examiners often test this distinction.
Do not stop at naming a risk. If the requirement says discuss or advise, add the effect and one response.
Objective questions score all or nothing, so read all four options before choosing.
In written answers, define each risk in one line, then link it to the scenario. Marks go for application, not definitions alone.
State clearly that translation risk is non-cash and economic risk is long term. Examiners reward this contrast.
In calculations, write the quote direction beside each rate before you divide or multiply.