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To recall a formula in the CFA® exam, learn what question it answers, rebuild its relationship from the quantities involved, and check that the units and direction of the result make sense. A list can be a useful index, but memory alone does not tell you when a formula applies or whether a transposed term has changed its meaning. Use practice to test both selection and calculation, then repair the particular step that failed.
Start with the question the expression answers
Before writing symbols, state the task in a sentence. Is the result a return over one holding period, a present value today, a risk measure, or a sensitivity to a change in yield? Those are different outputs, even if their formulas share prices, cash flows or rates. CFA Institute's Level I guide describes learning outcome statements at the start of learning modules and advises knowing how to use the calculator for curriculum formulas. A learning outcome is a better organising label than an alphabetised formula sheet because it tells you the action the candidate must perform.
Build a compact record for each relationship: the question, required inputs, output units, a plain-language derivation, conditions, and one quick reasonableness check. This does not require rewriting an entire reading. A candidate short of time gains more from being able to explain five uncertain relationships than from copying fifty expressions already recognised on sight. The record should point back to the curriculum for exact notation and exceptions. A revision card is a retrieval prompt, not a substitute for the authoritative definition.
Derive from a simple economic story
Consider a deliberately invented one-period investment purchased for one hundred currency units, sold later for one hundred and five, with a cash distribution of two during the period. The holder receives one hundred and seven in total against an outlay of one hundred. The gain is seven currency units, so the holding-period return is seven per cent. You can reconstruct that result without first remembering a letter order: total ending proceeds minus initial cost, divided by initial cost. CFA Institute's portfolio reading identifies holding-period return as suitable for a single defined period.
Now change only the story. If there is no cash distribution, the gain is five and the return is five per cent. If the sale price is below the purchase price but the distribution is large enough, the total return may still be positive. These variations expose why the cash payment belongs in the numerator and why the initial outlay belongs in the denominator. The numbers here are teaching figures, not a description of any real asset or expected outcome. Rebuilding from proceeds is more reliable than trying to remember whether an isolated letter for the distribution was added or subtracted.
The unit check catches another class of mistake. A difference between prices has currency units. Dividing it by the initial currency outlay produces a dimensionless ratio, which can be stated as a percentage. Dividing a currency gain by a rate, or adding a rate directly to a currency amount, would produce a result with no coherent meaning. Units are especially useful when similar-looking formulas differ in whether the output is a value, a fraction, a percentage change or a time measure.
Do not stretch that single-period example into a universal return formula. Returns over several periods require attention to compounding and to the timing of cash flows. CFA Institute's fixed-income reading explains that a bond investor's realised return can depend on coupons, reinvestment, sale price and investment horizon. If the problem asks for an annualised compounded rate across a longer horizon, the simple seven-per-cent calculation from the invented one-period example does not answer it. The first decision is always which return the question asks for.
Use units, signs and limiting cases
A good reasonableness check is predictive. Before calculating a present value, ask what a higher discount rate should do to the value of a fixed future cash flow. Before calculating a bond price sensitivity, ask which way price should move when the required yield rises. The point is not to memorise a second slogan. It is to catch a sign error, an inverted denominator or a percentage-point mistake before accepting the calculator display.
A limiting case makes the check sharper. If a future cash flow is due immediately, there is effectively no waiting period to discount. If a distribution in the simple return example is zero, the calculation should collapse to price change relative to the initial price. If two assets move together perfectly in a correlation example, a purported correlation outside the allowed range would signal a broken computation. These checks derive from definitions and boundary cases rather than an extra list of answers.
The check must fit the actual conditions. A price sensitivity approximation may be valid only for a small yield move and a specified set of cash flows. A formula for a fixed payment stream can fail when payments vary or begin at a different date. On a revision card, write the condition beside the relationship, not in a remote footnote. A correct expression applied to the wrong cash-flow timing is still a wrong answer.
Practise selection before arithmetic
CFA Institute provides practice questions and mock exams through the candidate resources. Its practice guidance recommends using questions to check understanding and reviewing the explanations. Use that loop to classify mistakes. Was the relationship unavailable from memory? Was the wrong relationship chosen? Were units or timing misread? Was calculator entry wrong? Each problem has a different repair. Re-copying a formula only addresses the first one.
For a focused session, read an outcome, close the notes, and write the relationship from a short verbal prompt. Then solve one invented, uncomplicated case and one case that changes a key condition. In the first, explain every term aloud. In the second, decide whether the original relationship still applies before doing arithmetic. Finally, compare your answer and reasoning with the official curriculum and question explanations. That sequence checks retrieval, interpretation and execution separately.
When an answer is wrong, preserve a brief error note that names the failure. For example: “I omitted the distribution when measuring total proceeds,” or “I used a single-period return when the task asked for an annualised result.” On the next review, reconstruct the relationship from that note without looking at the expression. An error log is useful only if it changes the next attempt; a collection of copied correct solutions can look busy while leaving the selection error intact.
Decide what deserves a memory card
Not every expression needs its own card. Group relationships by the economic question and shared inputs. A return family can start with initial value, cash received, ending value and time. A valuation family can start with expected cash flows and the rate used to discount them. Record differences that change the answer: timing, compounding, whether cash distributions are included, and whether the output is a level or a sensitivity. A family structure reduces the chance of recalling a technically correct formula from the wrong chapter.
The CFA programme page can orient a study plan, and Omni's study method can help organise repeated retrieval. The study decision here is narrower: use a formula list only after you can say what each relationship measures and when it fails. If a formula cannot be rebuilt, first return to the underlying cash-flow or risk story. If it can be rebuilt but keeps appearing in the wrong questions, practise recognition and conditions. That distinction directs limited revision time to the actual weakness.
Sources
- CFA Program Level I exam | CFA Institute · cfainstitute.org · Retrieved
- Portfolio Risk and Return: Part I | CFA Institute · cfainstitute.org · Retrieved
- Interest Rate Risk and Return | CFA Institute · cfainstitute.org · Retrieved
- CFA Candidate Resources | CFA Institute · cfainstitute.org · Retrieved
- CFA mock exam and practice questions | CFA Institute · cfainstitute.org · Retrieved
