Overview
Derivatives and Risk Management is 10-15% of the CFA Level 3 exam and has three learning modules. Options Strategies covers replication, covered calls, protective puts, spreads, straddles, collars, calendar spreads and volatility skew, and how to choose a strategy that matches an investor's view and objective. Swaps, Forwards, and Futures Strategies covers using interest rate, currency, equity and volatility derivatives to change duration, beta and asset allocation, and to infer market expectations. Currency Management: An Introduction covers how currency moves affect foreign returns and risk, strategic hedging choices, active currency strategies and hedging tools.
The topic is about implementation rather than pricing. Asset Allocation sets target exposures; this topic shows how to reach or adjust them quickly and cheaply with derivatives, and the pathways use the same tools for liability hedging, credit positioning and protecting private wealth.
How it's tested
Vignettes describe a portfolio, an investor's view or objective, and market data such as option premiums, futures prices, basis point values or exchange rates. Item sets usually ask you to compute a payoff, breakeven or contract count, while constructed-response items ask you to recommend the strategy that achieves a stated goal and justify it with its payoff or cost profile.
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Option strategy payoff
Premiums and strikes are given and you compute maximum profit, maximum loss or breakeven for a covered call, protective put, spread, straddle or collar.
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Overlay sizing
You compute how many futures contracts or how much swap notional changes portfolio beta, duration or allocation to a target.
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Currency hedge choice
A mandate, market view and cost data are given and you choose a hedge ratio, hedging instrument or active currency strategy and justify it.
A client holds a concentrated stock position, expects modest gains and wants protection against a large fall at little or no cost. Candidates often pick a protective put, which gives protection but costs a premium. The better fit is a zero-cost collar: buying a put and selling a higher-strike call funds the protection by giving up gains above the call strike, which matches the modest-gain view.
Learning modules 3
Official learning modules from the CFA Institute outline, in outline order.
4.1 Options StrategiesCovered calls, protective puts, spreads, straddles, collars, calendars and skew.
- What it means
- This module shows how options replicate or modify an asset's return, and analyzes the structure, payoff, profit, risk and breakeven of covered calls, protective puts, bull and bear spreads, straddles, collars and calendar spreads, plus how volatility skew and smile affect strategy choice.
- What to understand
- For a covered call, maximum profit is the strike minus the stock price plus the premium, and breakeven is the stock price minus the premium; for a protective put, maximum loss is the stock price minus the strike plus the premium, and breakeven is the stock price plus the premium. A covered call has a delta below one (one minus the call delta), and a protective put also has a delta below one (one plus the negative put delta).
- How it shows up
- An investor's view on direction and volatility is given and you choose and evaluate the strategy that fits, often computing a payoff number.
- Common confusion
- Treating a long straddle as a directional bet; it profits from a large move in either direction and loses from time decay if the price stays near the strike.
4.2 Swaps, Forwards, and Futures StrategiesUsing derivatives to change duration, beta, allocation and volatility exposure.
- What it means
- This module covers using interest rate, currency and equity swaps, forwards and futures to change risk and return, using volatility derivatives and variance swaps, achieving target equity and interest rate exposures, rebalancing and changing asset allocation with derivatives, and inferring market expectations from derivative prices.
- What to understand
- To change equity beta, the number of futures is (target beta minus portfolio beta) divided by futures beta, times portfolio value divided by the value of one contract. To change duration, the number of contracts is (target BPV minus portfolio BPV) divided by the futures BPV, where futures BPV is the cheapest-to-deliver BPV divided by its conversion factor. A receive-fixed swap adds duration and a pay-fixed swap reduces it.
- How it shows up
- A manager wants to change beta, duration or the stock-bond mix temporarily and you compute the contracts or notional required, or interpret implied rate expectations from futures prices.
- Common confusion
- Getting the direction of a swap wrong: paying fixed shortens duration, receiving fixed lengthens it.
4.3 Currency Management: An IntroductionCurrency effects on return and risk, hedging choices, active strategies and tools.
- What it means
- This module covers how currency movements change the domestic-currency return and risk of foreign assets, the spectrum from passive hedging to active currency management, how to design a currency program for given objectives and constraints, active strategies based on fundamentals, technicals, carry and volatility, and the tools for adjusting hedge ratios and reducing hedging costs.
- What to understand
- Domestic-currency return equals (1 + foreign-currency return) x (1 + currency return) - 1. Arguments for heavier hedging include short horizons, a focus on near-term liquidity, high client risk aversion, low hedging costs and bond-heavy foreign exposure; a carry trade borrows in low-yield currencies and invests in high-yield ones, profiting when uncovered interest rate parity fails to hold. Know cross-hedges, macro-hedges, minimum-variance hedge ratios and the special challenges of emerging-market currencies.
- How it shows up
- A client's horizon, risk tolerance and view are given and you recommend a hedge ratio, instrument or active strategy, or compute a hedged or unhedged return.
- Common confusion
- Adding currency and asset returns instead of compounding them, which ignores the cross-product term.
High-yield concepts
The terms, rules and formulas this domain turns into questions most often.
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Covered call
Long the underlying plus a short call, which earns premium in exchange for capping upside at the strike.
- Remember
- Maximum profit = strike - stock price + premium; maximum loss = stock price - premium; breakeven = stock price - premium.
- Tested as
- Income generation and target-price selling questions.
- Trap
- Thinking a covered call provides meaningful downside protection; it only cushions losses by the premium.
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Protective put
Long the underlying plus a long put, which sets a floor on losses at the cost of the premium.
- Remember
- Maximum loss = stock price - strike + premium; breakeven = stock price + premium; upside is unlimited.
- Tested as
- Downside protection questions.
- Trap
- Forgetting that the premium raises the breakeven above the purchase price.
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Bull and bear spreads
A bull call spread buys a lower-strike call and sells a higher-strike call; a bear put spread buys a higher-strike put and sells a lower-strike put.
- Remember
- Maximum profit = difference in strikes - net premium paid; maximum loss = net premium paid.
- Tested as
- Moderate directional views at reduced cost.
- Trap
- Choosing a spread when the investor expects a very large move, which the short leg caps.
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Collar
Long the underlying, long a put and short a higher-strike call, often structured so premiums offset.
- Remember
- It bounds both losses and gains; a zero-cost collar has no net premium but gives up upside above the call strike.
- Tested as
- Concentrated-position protection.
- Trap
- Calling a zero-cost collar free; its cost is forgone upside.
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Long straddle
Long a call and a put with the same strike and expiration.
- Remember
- Breakevens are the strike plus and minus total premium; it profits from large moves or rising volatility and loses to time decay.
- Tested as
- Event-driven or volatility views.
- Trap
- Using it for a directional view.
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Calendar spread
Positions in options with the same strike and different expirations.
- Remember
- A long calendar spread sells the near-dated option and buys the longer-dated one, benefiting from faster time decay of the near option or a rise in implied volatility.
- Tested as
- Views on time decay or volatility term structure.
- Trap
- Expecting it to profit from a large immediate price move.
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Volatility skew
Implied volatility varies by strike; in equity index options, out-of-the-money puts usually trade at higher implied volatility than out-of-the-money calls.
- Remember
- Skew makes put protection relatively expensive and selling puts relatively rich.
- Tested as
- Choosing which leg to buy or sell.
- Trap
- Assuming one implied volatility applies to all strikes.
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Futures to change equity beta
Contracts = ((target beta - portfolio beta) / futures beta) x (portfolio value / futures contract value).
- Remember
- A positive result means buy futures; a negative result means sell; target beta of zero creates synthetic cash.
- Tested as
- Overlay sizing calculation.
- Trap
- Using the futures price without the multiplier as the contract value.
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Futures to change duration
Contracts = (target BPV - portfolio BPV) / futures BPV, with futures BPV equal to the cheapest-to-deliver BPV divided by its conversion factor.
- Remember
- Buy contracts to lengthen duration and sell to shorten it.
- Tested as
- Interest rate overlay calculation.
- Trap
- Forgetting the conversion factor adjustment.
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Variance swap
A swap that pays the difference between realized variance and a strike variance on a variance notional.
- Remember
- Variance notional = vega notional / (2 x volatility strike); because payoff is convex in volatility, a long position gains more from a rise than it loses from an equal fall.
- Tested as
- Volatility exposure and settlement questions.
- Trap
- Treating the payoff as linear in volatility.
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Domestic-currency return
R(DC) = (1 + R(FC)) x (1 + R(FX)) - 1, where R(FX) is the change in the value of the foreign currency.
- Remember
- Currency variance adds to asset variance unless correlation is negative; hedging removes most of the R(FX) term.
- Tested as
- Hedged and unhedged return calculations.
- Trap
- Adding the two returns and dropping the cross-product.
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Strategic hedging spectrum
Currency programs range from passive hedging (near 100%) through discretionary hedging and active currency management to currency overlay.
- Remember
- Short horizons, high risk aversion, bond-heavy foreign exposure and liquidity needs favor more hedging; equity exposure and long horizons tolerate less.
- Tested as
- Recommending a hedge ratio for a client.
- Trap
- Hedging foreign equity fully without considering that currency risk may diversify equity risk.
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Carry trade
Borrowing in low-yield currencies and investing in high-yield currencies.
- Remember
- It earns returns when uncovered interest rate parity fails, but suffers sharp losses in risk-off periods when high-yield currencies fall.
- Tested as
- Active currency strategy questions.
- Trap
- Treating the carry as risk-free income.
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Minimum-variance hedge ratio
The hedge ratio estimated by regressing the domestic-currency return of the foreign asset on currency returns.
- Remember
- It reflects the correlation between asset and currency returns and is used for cross-hedges and multiple currencies.
- Tested as
- Choosing a hedge ratio below or above 100%.
- Trap
- Assuming the optimal hedge ratio is always 100%.
Side by side
Concepts candidates mix up, compared on the point that decides the answer.
Covered call vs. protective put vs. collar
| Concept | Meaning | Key difference | Common trap |
|---|---|---|---|
| Covered call | Long stock plus short call | Adds income, caps upside, little downside protection | Using it to protect against a large fall |
| Protective put | Long stock plus long put | Sets a loss floor at the cost of the premium | Ignoring the premium's effect on breakeven |
| Collar | Long stock, long put, short call | Bounds both losses and gains, often at near-zero premium | Overlooking the forgone upside |
Pay-fixed vs. receive-fixed interest rate swap
| Concept | Meaning | Key difference | Common trap |
|---|---|---|---|
| Pay-fixed swap | Pay fixed, receive floating | Reduces portfolio duration; gains when rates rise | Using it to lengthen duration |
| Receive-fixed swap | Receive fixed, pay floating | Adds duration; gains when rates fall | Forgetting it adds rate risk to the portfolio |
Passive hedging vs. discretionary hedging vs. active currency management
| Concept | Meaning | Key difference | Common trap |
|---|---|---|---|
| Passive hedging | Keeps the hedge ratio close to the benchmark, often 100% | Aims to remove currency risk, not add return | Ignoring the roll and transaction costs of constant hedging |
| Discretionary hedging | Allows a limited range around the benchmark hedge ratio | Primarily risk reduction with some scope to add value | Treating it as a profit center |
| Active currency management | Takes currency positions to generate alpha within risk limits | Currency is a return source, judged against a benchmark | Using it for a client with low risk tolerance or short horizon |
Exam traps
Each trap is an answer that looks right. Learn the clue that should change your mind.
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Covered call as protection
- What candidates pick
- A covered call for a client worried about a sharp decline.
- Why it looks right
- The premium does offset some losses.
- Why it's wrong
- Protection is limited to the premium received; losses below breakeven are fully borne. A protective put or collar sets an actual floor.
Clue to watch for The client's stated concern is a large downside move.
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Straddle for a directional view
- What candidates pick
- A long straddle when the investor expects the price to rise.
- Why it looks right
- It makes money if the price rises a lot.
- Why it's wrong
- Half of the premium pays for a put the investor does not need; a long call or bull spread expresses an upward view more cheaply.
Clue to watch for The view states a direction rather than uncertainty about direction.
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Swap direction reversed
- What candidates pick
- A pay-fixed swap to increase duration ahead of expected rate cuts.
- Why it looks right
- Paying fixed sounds like locking in a long-term rate.
- Why it's wrong
- Paying fixed is like being short a fixed-rate bond and reduces duration; receiving fixed adds duration and gains as rates fall.
Clue to watch for The manager wants more duration or expects falling rates.
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Full hedge always best
- What candidates pick
- A 100% hedge for a long-horizon investor's foreign equity holdings.
- Why it looks right
- Removing currency risk feels prudent.
- Why it's wrong
- For long horizons and equity exposure, currency can diversify equity risk and full hedging adds roll costs; the hedge ratio should reflect horizon, risk aversion and correlation.
Clue to watch for The vignette stresses a long horizon, equity exposure and cost sensitivity.
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Contract value without multiplier
- What candidates pick
- A futures contract count calculated with the index level as the contract value.
- Why it looks right
- The futures price is the number shown.
- Why it's wrong
- Contract value is the futures price times the multiplier; omitting it overstates the number of contracts by the size of the multiplier.
Clue to watch for The vignette gives a contract multiplier separately from the futures price.
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Carry as a free lunch
- What candidates pick
- A large carry trade for a client with low risk tolerance.
- Why it looks right
- The interest differential looks like steady income.
- Why it's wrong
- Carry trades are exposed to sudden reversals when volatility spikes; the strategy is unsuitable for a client who cannot bear crash risk.
Clue to watch for The client is risk-averse or volatility is expected to rise.
Answer framework
For a derivatives vignette, match the instrument to the exposure the investor wants to change.
- Identify the exposure to change (equity beta, duration, asset mix, volatility or currency) and the investor's objective, view and cost tolerance.
- Choose the instrument family: options for asymmetric payoffs, futures or forwards for linear changes, swaps for longer-term rate or return exchanges, variance swaps for volatility.
- For options, write the payoff at expiration and compute maximum profit, maximum loss and breakeven before judging fit.
- For overlays, compute contracts or notional with the correct beta, BPV, conversion factor and multiplier, and check the sign.
- For currency, set the hedge ratio from horizon, risk aversion and correlation, then choose forwards, FX swaps or options and justify the cost.
Practice question
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Study strategy
Start with Options Strategies, because its payoff logic underpins how you judge any derivatives recommendation. For each strategy, draw the payoff at expiration once by hand, then write maximum profit, maximum loss and breakeven from the drawing rather than memorizing formulas in isolation. Then practice choosing among strategies from short descriptions of an investor's view and objective.
Next, work through Swaps, Forwards, and Futures Strategies. The high-priority calculations are the contract counts for changing beta and duration and the swap direction for adding or reducing duration. Candidates commonly underestimate variance swaps and the module's material on inferring market expectations, both of which can appear as quick conceptual questions.
Finish with Currency Management. Learn the return compounding formula, the factors that push the hedge ratio up or down, and the risk profile of each active strategy, especially the carry trade's crash risk. Afterwards, practice item sets that mix option payoffs with overlay sizing, and write short justifications for strategy choices that cite the investor's objective. Then move to Ethical and Professional Standards, or use these tools in the pathway topic's liability-driven and credit strategies.
FAQ
How much of CFA Level 3 is Derivatives and Risk Management?
CFA Institute lists Derivatives and Risk Management at 10-15% of the Level 3 exam. It contains three learning modules: Options Strategies; Swaps, Forwards, and Futures Strategies; and Currency Management: An Introduction.
Do I need to price options at Level 3?
The Level 3 modules focus on using derivatives to achieve objectives, not on valuation models. You need payoffs, profits, breakevens, deltas of combined positions and the effect of volatility skew.
Which calculations come up most in this topic?
Option strategy payoffs and breakevens, futures contracts to change beta or duration, swap direction for duration changes, variance swap settlement and domestic-currency returns on foreign assets. Each is short enough to appear as a single item-set question.
How do I decide between a protective put and a collar?
A protective put keeps all upside but costs a premium, while a collar funds the put by selling a call, giving up gains above the call strike. Choose the collar when the investor wants low-cost protection and expects only modest gains.
When should a portfolio hedge less than 100% of its currency exposure?
When the horizon is long, the exposure is mainly equity, hedging costs are significant or currency movements partly offset asset returns. Short horizons, high risk aversion and bond-heavy foreign exposure argue for hedging closer to 100%.
Why does the carry trade appear in the curriculum?
It is a common active currency strategy that exploits the failure of uncovered interest rate parity. The exam expects you to recognize both its typical return source and its exposure to sharp losses when risk aversion rises.
How does this topic connect to Asset Allocation?
Asset Allocation sets target exposures; derivatives let a manager reach, rebalance or temporarily change those targets without trading the underlying assets, often at lower cost and faster.
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Test your Domain 4 knowledge
You have covered option strategies, swap and futures overlays, and currency hedging choices. Test whether you can compute payoffs and choose the right instrument under exam timing.
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