FINM6041 · Applied Derivatives
The Final Exam Playbook
The Final Exam Playbook is the cross-module chapter that turns everything else into marks. The FINM6041 final is 5 questions with sub-parts of unequal value (sub-parts may be unrelated — answer them all), written in person over roughly 120 minutes plus 15 minutes reading, with an issued formula sheet and N(x) tables and a non-programmable calculator — effectively closed-book. The lecturer's rules are strict and worth internalising: show all working (a bare number scores zero), keep every decimal place unless told otherwise (an explicit exception is given for N(d₁) and N(d₂)), binomial trees are capped at 4 steps, and you are never double-penalised for carrying through an earlier calculation error. Around 70% of the paper should feel familiar and 30% tests linking concepts together. The reliable skeleton — decoded from the two sample finals — is a recurring archetype bank: a multi-select concept MCQ sweep, swap comparative advantage, futures/option hedging, delta-neutral construction, put-call-parity arbitrage, binomial reverse-engineering, Black's model for options on futures, exotic/barrier replication, and picking a strategy from an option chain. Learn the archetypes and the trap checklist and the exam stops being a surprise. (S2-2026 date and venue are subject to confirmation on the current class summary.)
What this chapter covers
- 01Exam structure: 5 questions with sub-parts of unequal value; ~120 min writing + 15 min reading; in-person, invigilated
- 02Conditions: issued formula sheet + N(x) tables, non-programmable calculator, effectively closed-book
- 03The mechanical rules: show all working (no working = 0), keep all decimals, binomial ≤ 4 steps, no double penalty for carried errors
- 04Archetype — swap comparative advantage: split the difference-of-differences (equal or unequal shares)
- 05Archetype — put-call-parity / lower-bound arbitrage with a zero out-of-pocket cash-flow table
- 06Archetype — delta-neutral construction on a position book (mind the sign and the e^{−qT} factors)
- 07Archetype — binomial reverse-engineering: infer call/put and X, complete the tree, state the futures/dividend adjustment
- 08Archetypes — Black's model for options on futures, barrier in-out replication, and strategy-from-an-option-chain
Put-call-parity arbitrage with a zero out-of-pocket cash flow
- 2 marksParity test (European, no dividend): compare c + Xe^{−rT} with p + S₀. Here Xe^{−rT} = 45 × e^{−0.05×0.25} = 45 × 0.987578 = 44.4410, so c + Xe^{−rT} = 4.20 + 44.4410 = 48.6410, while p + S₀ = 2.10 + 45 = 47.10.
- 2 marksSince 48.6410 > 47.10 the call side (call plus invested strike) is rich, so sell it and buy the cheap synthetic: at t = 0 write the call (+$4.20), buy the put (−$2.10) and buy the stock (−$45.00). Net outlay $42.90, funded by borrowing $42.90 → zero out-of-pocket.
- 2 marksPayoff at T: long stock + long put − short call is worth exactly X = $45 in every state. If S_T > 45 the short call is exercised against you (deliver the stock for 45); if S_T < 45 you exercise the put (sell the stock for 45); if S_T = 45 both expire and you sell at 45.
- 2 marksRepay the loan: 42.90 × e^{0.05×0.25} = 42.90 × 1.012578 = 43.4396. Riskless profit = 45 − 43.4396 = $1.56, earned with no initial cash and no risk.
Key terms
- Put-call parity
- The no-arbitrage identity c + Xe^{−rT} = p + S₀ (non-dividend European) linking a call, a put, the stock and cash; when the two sides differ, an arbitrage exists — sell the rich side, buy the cheap synthetic, and cash-flow it to expiry.
- Arbitrage (zero out-of-pocket)
- A self-financing trade that needs no initial cash — the shortfall is borrowed — yet locks in a riskless profit at maturity. The exam wants the full time-0 / time-T cash-flow table, not just the final number.
- Comparative advantage (swaps)
- The total gain available in an interest-rate swap equals the difference-of-differences (fixed spread − floating spread); each party borrows where it is comparatively strong, and the gain is split (equally by default, or in a stated ratio).
- Delta-neutral
- A portfolio whose net delta is zero, built by trading the underlying (delta = 1) against the book's aggregate option and forward delta; watch the signs (a short position flips the delta) and the yield factor (a forward on a yield asset has delta e^{−qT}, not 1).
- Binomial reverse-engineering
- Inferring whether an option is a call or a put and its strike from partial node values, then completing the tree and stating the adjustment for a futures underlying (p = (1 − d)/(u − d)) or a dividend yield (p = (e^{(r−q)Δt} − d)/(u − d)); capped at 4 steps in the exam.
- Black's model
- The formula for a European option on a futures, c = e^{−rT}[F₀N(d₁) − XN(d₂)], obtained by setting the dividend yield q = r and using F₀ in place of the spot; the whole bracket is discounted by e^{−rT}.
The Final Exam Playbook FAQ
Is FINM6041 hard?
It is a postgraduate, quantitative course, but the lecturer describes it as introductory — the necessary maths, not a proofs course. The final is calibrated so that roughly 70% should feel familiar and 30% tests linking ideas together. The final exam is the largest single assessment component (around 65-70%, subject to confirmation on the current class summary), so the students who do well are the ones who practise the recurring archetypes until the setup is automatic rather than memorising formulas.
What's on the FINM6041 final exam?
Five questions with sub-parts spanning the whole course: forward/futures pricing and hedging, interest-rate swaps, options and put-call parity, the binomial model, Black-Scholes-Merton, the Greeks and delta hedging, exotic/barrier options, and the credit/weather/energy/integrity material — plus a real-world question and usually a multi-select concept MCQ sweep. Sub-parts are of unequal value and may be unrelated, so answer every part.
Does FINM6041 use Black-Scholes?
Yes. You compute BSM prices with d₁, d₂ and the standard-normal N(·), including dividend-yield, index, currency and futures (Black's model) variants. The formula sheet and the N(x) tables are provided in the exam, so the skill tested is setting up d₁/d₂ correctly, reading N(·) by interpolation, and keeping all decimal places through to the answer.
Can I use a calculator in the FINM6041 exam?
A non-programmable calculator only. The formula sheet and N(x) tables are issued with the paper, so it is effectively closed-book. Short-answer questions without working score zero, you keep all decimals unless told otherwise, and you are not double-penalised for carrying an earlier arithmetic slip through later parts.
FINM6041 vs FINM2002 — what's the difference?
They are co-taught and share the same lectures, workshops and tutorials, but FINM6041 is the postgraduate code and FINM2002 the undergraduate one. The postgraduate paper adds extra sub-parts (the exotic-option and free-form 'design a position' add-ons are the usual extensions) and the two codes have different quizzes and assessment details, so make sure you register and sit under the correct code.
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Exam move
Prepare by archetype, not by lecture. Build a one-page card for each recurring task — swap comparative advantage, futures/option hedge comparison, delta-neutral construction, put-call-parity arbitrage, binomial reverse-engineering, Black's model on a futures, barrier in-out replication and strategy-from-a-chain — and rehearse each until the setup is automatic, because roughly 70% of the paper is these familiar moves. Then drill the trap checklist that loses easy marks: convert every quoted rate to continuous compounding before any e^{rT}; keep the delta signs straight (a short position flips the sign, a forward on a yield asset has delta e^{−qT}, not 1); check early exercise at every binomial node; use S₀e^{−qT} for indices, currencies and futures; and remember the index multipliers differ (A$25/point for SPI 200 futures, A$10/point for the ASX 200 option). Above all, obey the two rules that cost the most: show full working (a correct number alone scores zero) and keep every decimal place. Work the two sample finals under timed conditions — no solutions are released, so self-marking against these archetypes is the highest-value revision you can do.
