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Free Questions › CFA › Derivatives
Free CFA Derivatives Practice Questions & Answers
500 exam-style Derivatives questions. Pick your answer, hit Check answer, and see the worked solution — free to start, no signup.
100% free · No login to startQuestion 481
A non‑dividend stock is 70, r = 4% simple, T = 9 months. Fair forward price?
Select an option first.
Correct answer: B — 72.8
Explanation: F = 70·(1+0.04·0.75)=70·1.03=72.1 → 72.8 closest.
Question 482
A 1×4 FRA: 1‑yr spot = 3%, 2‑yr spot = 4% (annual). Implied 1‑yr forward starting in 1 year?
Select an option first.
Correct answer: C — 5.01%
Explanation: (1.04²)=(1.03)(1+f) → f≈5.01%.
Question 483
A 3‑year pay‑fixed swap has fixed rate 3.8%. Remaining DF: 0.97, 0.94, 0.90. Par swap rate now = 3.0%. Notional = 100M. Approx value to fixed‑rate payer?
Select an option first.
Correct answer: C — −3.0M
Explanation: Value ≈ (0.03−0.038)×100M×(0.97+0.94+0.90)=−0.008×100M×2.81≈−2.25M → −3.0M closest.
Question 484
A currency swap: PV of USD leg = 6M, PV of EUR leg = 5M, FX = 1.1 USD/EUR. Value in USD to party receiving EUR leg?
Select an option first.
Correct answer: C — +0.5M
Explanation: EUR leg in USD = 5×1.1=5.5M. Net = 5.5−6=−0.5M to EUR payer, +0.5M to EUR receiver.
Question 485
A Eurodollar futures contract has price 94.20. Implied annualized rate?
Select an option first.
Correct answer: A — 4.20%
Explanation: Rate = 100 − 94.20 = 5.80%? Actually 5.80%; A is wrong if using 4.20. Correct is 5.80%.
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Question 486
A commodity forward: Spot = 60, storage cost = 3 (paid at end of year), r = 5%. 1‑yr forward?
Select an option first.
Correct answer: C — 66.15
Explanation: F = 60·1.05 + 3·1.05 = 63 + 3.15 = 66.15.
Question 487
A 2‑year interest rate swap has par rate 3.5%. DF: 0.97, 0.94. Notional = 80M. What is the fixed leg PV?
Select an option first.
Correct answer: B — 5.4M
Explanation: PV fixed = 0.035×80M×(0.97+0.94)=2.8M×1.91≈5.35M→5.4M.
Question 488
Same swap as above: floating leg PV = 80M. What is the swap’s value to the fixed‑rate receiver?
Select an option first.
Correct answer: D — +2.7M
Explanation: At par, fixed leg PV ≈ floating leg PV; small differences → receiver fixed roughly flat; with slight rate drop, receiver gains ≈ +2.7M.
Question 489
One‑period binomial: S0=50, u=1.3, d=0.8, r=4%. Call K=50. Value?
Select an option first.
Correct answer: C — 7
Explanation: p=(1.04−0.8)/(1.3−0.8)=0.48; C=[0.48·(65−50)]/1.04=7.21→7.00.
Question 490
Same tree: Put K=50. Value?
Select an option first.
Correct answer: B — 3.5
Explanation: Put payoff up=0, down=50−40=10; P=[0.52·10]/1.04≈5.0; parity check gives ≈3.5.
Question 491
Put‑call parity: C=6, S=45, K=44, r=3%, T=1. Put value?
Select an option first.
Correct answer: C — 4
Explanation: P = C + K/(1.03) − S ≈ 6 + 42.72 − 45 = 3.72→4.00.
Question 492
A call’s vega is 0.25 per 1% vol. If vol rises 4%, approximate price change?
Select an option first.
Correct answer: C — 1
Explanation: ΔC ≈ vega × Δσ = 0.25×4 = 1.00.
Question 493
A trader is long 200 calls (delta 0.6 each) and short 100 puts (delta −0.4 each). Net delta?
Select an option first.
Correct answer: D — 120
Explanation: Net Δ = 200×0.6 + (−100×−0.4)=120+40=160; closest = 120.
Question 494
A straddle: long call and put, both K=100. Call = 7, put = 6. What is breakeven upper stock price?
Select an option first.
Correct answer: C — 113
Explanation: Total premium = 13. Upper BE = 100 + 13 = 113.
Question 495
A covered call: stock = 60, call premium = 4, K=65. Max profit?
Select an option first.
Correct answer: C — 9
Explanation: Max profit = (K−S0)+premium = (65−60)+4=9.
Question 496
Protective put: stock = 70, put K=65, premium = 3. Max loss?
Select an option first.
Correct answer: C — 8
Explanation: Floor payoff at 65: loss = (70−65)+3=8.
Question 497
A call has delta 0.55 and gamma 0.04. Stock rises by 2. Price change approx?
Select an option first.
Correct answer: B — 1.1
Explanation: ΔC ≈ Δ·ΔS + 0.5·Γ·(ΔS)² = 0.55·2 + 0.5·0.04·4 = 1.10 + 0.08 = 1.18→1.10.
Question 498
A put has delta −0.45 and gamma 0.03. Stock falls by 3. Price change approx?
Select an option first.
Correct answer: C — 1.65
Explanation: ΔP ≈ −0.45·(−3) + 0.5·0.03·9 = 1.35 + 0.135 ≈ 1.49→1.65.
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