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IAI Subject CM2 — Financial Engineering and Loss Reserving (Institute of Actuaries of India)

Practice Questions100 questions

Exam Review

Key Facts: IAI SP6 Exam

3h 15m

Exam Duration

IAI examination timetable

₹6,000

Examination Fee

IAI exam fee schedule

50%

Pass Mark

IAI Pass Mark Rule (from November 2025)

50%

Marks from Pricing and Valuation

IAI SP6 syllabus 2026

100

Practice Questions

OpenExamPrep

IAI Subject SP6 Financial Derivatives is a Specialist Principles subject of the Institute of Actuaries of India. The official examination is a closed-book, centre-based online written paper of 3 hours 15 minutes; the entry fee is ₹6,000 for India and SAARC candidates and the pass mark is 50%. Half of the published syllabus weighting sits on derivative pricing and valuation methods, including interest rate models, with 25% on the management of derivatives, 20% on derivative types and uses and 5% on derivative markets, and this practice set follows those weightings. The official paper is a descriptive written examination, so these independent English-language multiple-choice questions are a study aid for the same body of knowledge rather than a simulation of the official format, and they do not replace practice at writing full examination answers. A Fellow must pass at least two Specialist Principles subjects and one Specialist Advanced subject on top of the ten Core subjects.

Sample IAI SP6 Practice Questions

Try these sample questions to review concepts for the IAI SP6 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following BEST describes a primary structural distinction between exchange-traded derivatives (ETDs) and over-the-counter (OTC) derivatives?

A.Exchange-traded derivatives carry higher counterparty credit risk than OTC derivatives due to the anonymity of trading floor participants.

B.OTC derivatives are strictly restricted to physical settlement, whereas exchange-traded derivatives always require cash settlement.

C.Exchange-traded derivatives feature standardized contract specifications and are cleared via a central counterparty, whereas OTC derivatives are traditionally bilaterally negotiated with customizable terms.

D.Exchange-traded contracts do not require initial or variation margin, whereas OTC contracts mandate daily variation margin by statutory law.

Explanation: Exchange-traded derivatives (ETDs) are standardized in terms of underlying asset, contract size, expiry dates, and tick sizes, and are cleared through a Central Counterparty (CCP) which mitigates counterparty credit risk via novation and margin requirements. In contrast, OTC derivatives are bilaterally negotiated, allowing bespoke terms tailored to specific hedging needs, though post-crisis reforms have pushed standardized OTC contracts toward mandatory central clearing.

2In the context of clearinghouses, how does multilateral netting through a Central Counterparty (CCP) reduce systemic counterparty risk compared to bilateral gross settlement?

A.By eliminating the need for market participants to post collateral or maintain capital buffers.

B.By replacing all gross bilateral contractual obligations among clearing members with a single net obligation to the CCP, drastically reducing overall settlement volume and liquidity demand.

C.By transferring all ultimate credit losses directly to the central bank without drawing on member default funds.

D.By ensuring that no clearing member can ever default on its derivative transactions.

Explanation: Multilateral netting replaces a web of bilateral obligations with a single net position for each clearing member vis-a-vis the CCP (via novation). This substantially compresses gross exposures, reduces liquidity requirements for daily settlement, and diminishes interconnectedness among market participants.

3A clearinghouse experiences the default of a major clearing member following extreme market volatility. In what sequence does the standard CCP default waterfall absorb the resulting losses?

A.Surviving members' default fund contributions → CCP equity → Defaulter's initial margin → Mutualized clearing assessments.

B.Defaulter's initial margin and default fund contribution → CCP's dedicated capital ('skin in the game') → Non-defaulting members' default fund contributions → Assessment powers / loss allocation.

C.CCP's dedicated capital → Defaulter's initial margin → Government systemic bailout fund → Non-defaulting members' initial margin.

D.Non-defaulting members' initial margin → Defaulter's variation margin → Clearinghouse equity reserve → Defaulter's assets.

Explanation: The established CCP default waterfall sequence is: (1) Defaulter's margin and defaulter's default fund contribution, (2) CCP's own dedicated equity contribution ('skin in the game'), (3) Non-defaulting clearing members' contributions to the default fund, and (4) Secondary recovery tools such as cash assessments, variation margin gains haircutting (VMGH), or contract tear-ups. Non-defaulting members' initial margins are segregated and are never used to absorb another member's default losses.

4Market makers in derivatives markets quote bid and ask prices to provide two-way liquidity. Which of the following correctly identifies the three fundamental economic components of the bid-ask spread?

A.Clearinghouse margin fees, exchange membership dues, and statutory transaction taxes.

B.Underlying equity dividend yield, continuous risk-free discount rate, and option time decay (theta).

C.Vega risk premium, credit valuation adjustment (CVA), and debit valuation adjustment (DVA).

D.Order processing costs, inventory holding risk, and adverse selection (information asymmetry) costs.

Explanation: Microstructure theory (e.g., Demsetz, Stoll, Glosten-Milgrom) demonstrates that the bid-ask spread reflects three core economic costs: (1) Order processing costs (operational overhead, technological infrastructure, exchange fees), (2) Inventory holding costs (carrying cost and risk of unhedged price movements while holding inventory), and (3) Adverse selection costs (compensation for trading against informed counterparties who possess superior information).

5What is a major risk specifically associated with physical settlement in exchange-traded commodity or bond derivatives that is largely eliminated by cash settlement?

A.Credit risk of the central clearinghouse.

B.Short squeeze risk and delivery bottleneck/logistical constraints in the underlying deliverable asset during the delivery month.

C.Model risk arising from the Black-Scholes continuous trading assumption.

D.Regulatory margin call risk driven by daily price fluctuations.

Explanation: Physical settlement requires the short position holder to deliver the physical commodity or specified deliverable bond grade. If deliverable supplies are scarce, long market participants can accumulate positions and create a 'squeeze' or corner the deliverable supply, driving prices to artificial spikes and imposing severe delivery logistical bottlenecks. Cash settlement eliminates this risk by settling final gain/loss against an objective benchmark index price.

6Assuming interest rates are stochastic and positively correlated with the price of the underlying asset, how does the theoretical price of a futures contract compare to that of an otherwise identical forward contract?

A.The futures price is lower than the forward price because futures require margin maintenance costs.

B.The futures price is equal to the forward price because arbitrage enforces identical prices regardless of interest rate dynamics.

C.The futures price is higher than the forward price because daily marking-to-market generates cash inflows when rates are high and cash outflows when rates are low.

D.The forward price is higher than the futures price because forward contracts avoid the risk of margin calls.

Explanation: With daily marking-to-market in futures contracts, price increases generate immediate cash inflows that can be reinvested at the prevailing interest rate. If interest rates are positively correlated with the asset price, gains occur when interest rates are higher (earning higher reinvestment yields) and losses occur when rates are lower (funded at lower borrowing costs). This makes a long futures position more attractive than an equivalent forward position, driving the futures price above the forward price.

7An oil refinery expects to purchase 300,000 barrels of crude oil in 3 months. It wishes to hedge its price risk using crude oil futures contracts traded on an exchange. The volatility of quarterly changes in spot crude oil prices is 28%, the volatility of quarterly changes in futures prices is 35%, and the correlation between the spot price changes and futures price changes is 0.75. Each futures contract covers 1,000 barrels. What is the optimal number of futures contracts the refinery should purchase to minimize variance?

A.300 contracts

B.180 contracts

C.225 contracts

D.144 contracts

Explanation: The minimum-variance hedge ratio is given by: h* = ρ * (σ_S / σ_F) = 0.75 * (0.28 / 0.35) = 0.75 * 0.80 = 0.60. The optimal number of futures contracts is: N* = h* * (Q_A / Q_F) = 0.60 * (300,000 / 1,000) = 0.60 * 300 = 180 contracts. Because the refinery is exposed to rising purchase prices (short the commodity physically), it should enter a long position in 180 futures contracts.

8A corporate treasurer hedges a future sale of jet fuel using heating oil futures. The basis is defined as Spot Price minus Futures Price (b = S - F). If the basis unexpectedly widens (increases algebraically, i.e., S increases more than F), what is the impact on the treasurer's short hedge?

A.The hedger experiences a loss because the futures price did not track the spot price.

B.The hedger's position improves because a strengthening basis benefits a short hedger.

C.The basis change has zero net effect because the hedge was constructed using minimum-variance hedge ratios.

D.The hedger's position deteriorates because basis widening only benefits long hedgers.

Explanation: The net price realized by a short hedger is S_2 - (F_2 - F_1) = F_1 + (S_2 - F_2) = F_1 + b_2. Thus, an increase in the basis (known as a strengthening of the basis, where b_2 > b_1) increases the effective net price received, directly benefiting the short hedger. Conversely, a weakening basis (decrease in b) hurts a short hedger.

9A financial institution enters into a 3x9 Forward Rate Agreement (FRA) as the fixed-rate payer with a notional principal of ₹50,000,000 at an agreed rate of 6.50% p.a. At the settlement date (in 3 months), the 6-month reference rate (MIBOR) fixes at 7.50% p.a. Both rates are quoted on an Actual/360 or simple interest basis with a period length of exactly 0.50 years (180/360). What cash settlement amount does the institution receive at the start of the borrowing period (month 3)?

A.₹250,000

B.₹231,481

C.₹260,417

D.₹240,964

Explanation: The FRA cash settlement formula discounted to the settlement date (month 3) is: Payment = Notional * [(L - R_K) * τ] / [1 + L * τ] Where: - Notional = ₹50,000,000 - Reference rate L = 7.50% = 0.075 - Agreed FRA rate R_K = 6.50% = 0.065 - Period length τ = 0.50 years Numerator = 50,000,000 * (0.075 - 0.065) * 0.50 = 50,000,000 * 0.010 * 0.50 = ₹250,000. Denominator = 1 + (0.075 * 0.50) = 1 + 0.0375 = 1.0375. Payment = 250,000 / 1.0375 ≈ ₹240,963.86 ≈ ₹240,964. Because the fixing rate (7.50%) exceeds the agreed FRA rate (6.50%), the fixed-rate payer receives this payment.

10Company A can borrow in the fixed-rate market at 8.0% and in the floating-rate market at SOFR + 0.8%. Company B can borrow in the fixed-rate market at 9.5% and in the floating-rate market at SOFR + 1.5%. Company A desires floating-rate debt, while Company B desires fixed-rate debt. What is the total potential comparative advantage gain available to be shared between the two companies and an intermediary in an interest rate swap?

A.0.8% per annum

B.1.5% per annum

C.0.5% per annum

D.2.2% per annum

Explanation: The total comparative advantage gain is the difference between the absolute differentials in the two borrowing markets: Fixed-rate differential = 9.5% - 8.0% = 1.5%. Floating-rate differential = (SOFR + 1.5%) - (SOFR + 0.8%) = 0.7%. Total gain = Fixed differential - Floating differential = 1.5% - 0.7% = 0.8% per annum. Company A has a comparative advantage in the fixed-rate market (where its absolute advantage is 1.5% vs only 0.7% in floating), while Company B has a comparative advantage in the floating-rate market.

About the IAI SP6 Exam

IAI Subject SP6 Financial Derivatives develops advanced specialist understanding of financial derivatives, their pricing and valuation through continuous-time stochastic models, and their risk management in institutional investment portfolios.

Exam sponsor: Institute of Actuaries of India (IAI). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

3 hour 15 minute closed-book centre-based online written paper; answers are typed into the examination platform's text editor and there is no negative marking.

Time Limit

3 hours 15 minutes

Passing Score

50% of total marks under the IAI Pass Mark Rule applicable from the November 2025 session; marks are rounded up to the next whole number and the final pass mark for each subject is confirmed with the results

Exam / Certification Fees

₹6,000 (INR) for India and SAARC candidates

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

IAI syllabus for the 2026 examinations · Source checked 2026-09-14
IAI exam fees · Source checked 2026-09-14
IAI examination dates · Source checked 2026-09-14
IAI exam policies and guidelines (student guide, pass mark rule, FAQ) · Source checked 2026-09-14

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

Derivative Markets

How financial markets for derivatives operate, the main participants and their motives, exchange-traded versus over-the-counter contracts, hedgers, speculators and arbitrageurs, and the operation of central counterparty clearing houses and the related regulatory environment.

20%

Derivative Types and Uses

Payoffs and pricing of forwards and futures, calls and puts, hedging applications, stock, currency, index and futures options, warrants and convertibles, interest rate derivatives from FRAs and futures through swaps, swaptions, caps and floors, exotic equity and FX derivatives, structured securities and OTC contracts, and credit derivatives including CDS, CDOs and total return swaps.

50%

Derivative Pricing and Valuation Methods, Including Interest Rate Models

Factors affecting option prices, the binomial model and the martingale approach, Brownian motion and Ito calculus, Cameron-Martin-Girsanov, the Black-Scholes model and its extensions, implied volatility and volatility surfaces, numerical methods including trees, Monte Carlo and finite differences, Black's model for interest rate derivatives, and term structure models including Hull-White, Vasicek, CIR, HJM and BGM.

25%

Management of Derivatives

How derivatives are used by investors, calculation and use of the Greeks in hedging individual derivatives and portfolios, scenario analysis, basis risk, market, credit and liquidity risk in derivative use, Value-at-Risk and its weaknesses, credit ratings, ISDA agreements and collateral management, and the use of special purpose vehicles for risk transfer.

Preparing for the IAI SP6 Exam

What You Need to Know

Passing score: 50% of total marks under the IAI Pass Mark Rule applicable from the November 2025 session; marks are rounded up to the next whole number and the final pass mark for each subject is confirmed with the results
Assessment: 3 hour 15 minute closed-book centre-based online written paper; answers are typed into the examination platform's text editor and there is no negative marking.
Time limit: 3 hours 15 minutes
Exam / certification fees: ₹6,000 (INR) for India and SAARC candidates Official sources

Using Our Practice Resources

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IAI SP6: Suggested Study Strategy

1Master the derivation and interpretation of the Black-Scholes Greeks (Delta, Gamma, Vega, Theta, Rho) and understand how they interact in dynamic delta-neutral, gamma-neutral portfolios.

2Be completely comfortable setting up recombining binomial trees for both European and American options, including dividend-paying underlying assets.

3Understand the key structural differences between no-arbitrage term-structure models (such as Hull-White) and equilibrium models (such as Vasicek and CIR).

4Review the mechanics of counterparty credit risk, including right-way and wrong-way risk, ISDA credit support annexes, and variation margin calculations.

5Ensure fast numerical fluency for option price calculations, implied volatility, forward rates, and swap rate determination.

Frequently Asked Questions

What is the format of the IAI SP6 exam?

SP6 is a closed-book, centre-based online written paper of 3 hours 15 minutes covering derivative markets, contract types, pricing and valuation, and the management of derivative risk. Answers are typed into the examination platform and there is no negative marking. An IAI-approved scientific calculator and unannotated actuarial tables are permitted.

What is the pass mark for IAI SP6?

Under the IAI Pass Mark Rule applicable from the November 2025 session, a candidate passes an SP or SA series subject by scoring at least 50%, rounded up to the next whole number. IAI confirms the final pass mark when it publishes the results.

What is the examination fee for IAI SP6?

The SP6 entry fee is ₹6,000 (INR) for candidates in India and SAARC countries, per the published IAI exam fee schedule. Examinations are held in the May and November sessions and results are declared 50 to 70 days after the last day of the session.

How is the SP6 syllabus weighted?

IAI's 2026 SP6 syllabus weights derivative markets at 5%, derivative types and uses at 20%, derivative pricing and valuation methods including interest rate models at 50%, and management of derivatives at 25%. This practice set follows the same proportions.

How do these OpenExamPrep questions relate to the official exam?

They are independent practice questions covering the SP6 topics, including genuine worked calculations. The official paper is a descriptive written examination, so this set is a study aid for the same body of knowledge rather than a simulation of the official format. OpenExamPrep is not affiliated with the Institute of Actuaries of India.