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AcadiFi
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CFA_L2_Crunch2026-05-23
cfaLevel IIDerivativesExam Strategy

For the CFA Level II exam, should I just memorize the BSM formula or actually understand the derivation?

I have maybe 80 hours of study time left before the exam and I am trying to decide where to spend it. Is it enough to memorize $c = S_0 \cdot e^{-qT} \cdot N(d_1) - K \cdot e^{-rT} \cdot N(d_2)$ and the $d_1/d_2$ expressions, or do I need to understand the replication argument too?

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AcadiFi TeamVerified Expert
AcadiFi Certified Professional

Memorise the formula AND understand the replication argument. They are not substitutes — they answer different exam questions.

What memorisation buys you: the ability to plug numbers into a price calculation when the exam gives you S0S_0, KK, rr, qq, σ\sigma, TT and the relevant N()N(\cdot) values. That is maybe 30-40% of the BSM-related questions.

What understanding buys you: the ability to answer conceptual questions that the formula alone cannot answer:

  • "If the expected return of the stock doubles, what happens to the call price?" (Answer: nothing — the expected return is not in the formula and replication explains why.)
  • "If implied volatility doubles overnight while spot stays the same, what happens?" (The call price rises; vega is positive.)
  • "If a stock pays a sudden dividend, the call price drops because…" (Holders of the call do not collect the dividend.)
  • "Delta hedging breaks down when…" (When markets gap, transaction costs are large, or vol is stochastic.)

These conceptual questions are where the points pile up because they require multi-step reasoning.

My recommended split of your 80 hours:

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That allocation produces an exam answer faster and more correctly than pure memorisation. The replication argument is also a transferable skill — it shows up in fixed-income (binomial trees), currency forwards, and even some corporate-finance questions.

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