CISI IAD Derivatives Technical Unit Cheat Sheet
Cheat sheet: derivatives formulas, product distinctions, risk concepts, and exam traps for CISI IAD Derivatives Technical Unit candidates.
Use the tables for a quick pre-exam check. Expand a topic’s notes for explanations, examples, and additional distinctions.
Scope and study context
- Product mechanics: forwards, futures, options, swaps, structured products, and contracts for difference.
- Payoff logic: who gains, who loses, when cash flows occur, and what risk remains.
- Suitability and risk language: leverage, liquidity, counterparty exposure, margin, volatility, and client understanding.
- Calculation shortcuts: option payoff, futures hedge sizing, margin, basis, FRA settlement, and swap cash flows.
For efficient practice, do not just take full mocks immediately. Work through the question bank by topic first:
Product identification drills Practise recognising futures, options, swaps, CFDs, warrants, and structured products from wording alone.
Payoff and break-even drills Repeat call/put, long/short, premium, and strike calculations until they are automatic.
Hedging direction drills For each scenario, write: “client risk is ___, so derivative must gain if ___.”
Interest rate and FX drills These are common sources of reversal errors. Practise slowly, then increase speed.
Suitability drills For each client scenario, identify objective, capacity for loss, liquidity need, knowledge, and product risk.
Mixed mock exams Once topic accuracy improves, use timed mocks to practise switching between calculations, concepts, and advice judgement.
After each practice set, review detailed explanations and record the exact reason for each missed question: terminology, direction, formula, suitability, or reading error.
Core derivatives map
| Product | Main idea | Typical market | Obligation or right? | Main users | Primary risks |
|---|---|---|---|---|---|
| Forward | Bespoke agreement to trade later at fixed price | OTC | Obligation on both parties | Hedgers, corporates, institutions | Counterparty, liquidity, settlement |
| Future | Standardised exchange-traded forward-like contract | Exchange | Obligation on both parties | Hedgers, traders, institutions | Margin calls, basis, leverage |
| Call option | Right to buy underlying | Exchange or OTC | Buyer has right; seller has obligation | Hedgers, investors, speculators | Premium loss for buyer; potentially large loss for seller |
| Put option | Right to sell underlying | Exchange or OTC | Buyer has right; seller has obligation | Hedgers, investors, speculators | Premium loss for buyer; large downside for seller |
| Swap | Exchange of cash flows | OTC, sometimes cleared | Contractual obligation | Institutions, corporates, funds | Counterparty, valuation, basis |
| CFD | Cash-settled exposure to price movement | OTC provider | Contractual exposure, no asset ownership | Speculators, hedgers | Leverage, provider, funding, gap risk |
| Warrant | Securitised option-like instrument | Exchange or issuer market | Holder has right | Investors | Issuer, gearing, time decay |
| Structured product | Investment payoff built from bond plus derivative | Issuer product | Depends on terms | Retail/professional investors | Issuer credit, complexity, liquidity, payoff caps/barriers |
Notes and examples
Core Derivatives Map
| Instrument | Core idea | Typical use | Main exam trap |
|---|---|---|---|
| Forward | OTC agreement to buy/sell later at agreed price | Custom hedging | Counterparty risk and no daily margining unless agreed |
| Future | Exchange-traded forward-style contract | Hedging, speculation, price discovery | Daily marking-to-market changes cash flow |
| Option | Right, not obligation, to buy/sell | Downside protection, leverage, strategy construction | Buyer and seller risk profiles are very different |
| Swap | Exchange of cash flows | Interest rate, currency, credit, or return exposure management | Notional is usually reference amount, not exchanged in all swaps |
| CFD | Leveraged contract on price movement | Short-term speculation or hedging | Losses can exceed initial margin depending on structure |
| Warrant / covered warrant | Securitised option-like instrument | Leveraged exposure | Issuer risk, liquidity, time decay |
| Structured product | Package of bond and derivative features | Defined payoff profile | Capital protection may be conditional or issuer-dependent |
| Credit derivative | Transfers credit risk | Credit hedging or exposure taking | Credit event definitions and counterparty risk matter |
Forward FX Logic
| Exposure | Risk | Hedge |
|---|---|---|
| Future foreign-currency receipt | Foreign currency weakens | Sell foreign currency forward |
| Future foreign-currency payment | Foreign currency strengthens | Buy foreign currency forward |
| Investor holding overseas asset | Currency depreciation reduces domestic return | Hedge by selling foreign currency |
| Borrower with foreign-currency debt | Foreign currency strengthens | Hedge by buying foreign currency |
Common trap: decide from the client’s future cash flow, not from whether the currency is “good” or “bad.” If the client must receive it, they may need to sell it. If they must pay it, they may need to buy it.
Derivatives vocabulary that drives exam answers
| Term | Practical meaning | Common exam trap |
|---|---|---|
| Underlying | Asset, rate, index, commodity, currency, or credit reference | The derivative value may move non-linearly relative to the underlying |
| Notional | Reference amount used to calculate cash flows | Notional is not always exchanged |
| Long position | Benefits from price rising, unless product design differs | Long option means bought option, not necessarily bullish if it is a put |
| Short position | Benefits from price falling, unless product design differs | Short option means written option and has obligation |
| Leverage | Small initial cash controls larger exposure | Leverage magnifies both losses and gains |
| Margin | Collateral required to support exposure | Margin is not the same as option premium |
| Premium | Price paid by option buyer to seller | Premium is paid upfront and is maximum loss for a plain bought option |
| Mark-to-market | Revalue position using current market prices | Futures settle gains/losses daily, unlike most forwards |
| Settlement | Closing by delivery or cash payment | Many index and rate derivatives settle in cash |
| Basis | Difference between spot and futures/forward price | Basis risk remains even if direction is hedged |
| Intrinsic value | Immediate exercise value of option | Cannot be negative for a plain option |
| Time value | Option price minus intrinsic value | Time value generally decays as expiry approaches |
| Delta | Sensitivity of option value to underlying price | Delta changes as underlying and time change |
| Volatility | Degree of price movement | Higher expected volatility usually increases option value |
| Counterparty risk | Risk other party fails to perform | Lower in central-cleared exchange-traded contracts, not eliminated in all contexts |
| Liquidity risk | Risk of poor exit price or inability to close | Exchange listing does not guarantee deep liquidity |
Linear vs non-linear payoff
| Feature | Linear derivatives | Non-linear derivatives |
|---|---|---|
| Typical products | Forwards, futures, swaps, CFDs | Options, warrants, some structured products |
| Payoff shape | One-for-one or near one-for-one exposure | Asymmetric payoff |
| Buyer/seller symmetry | Gains and losses are broadly symmetric | Buyer and writer have different risk profiles |
| Upfront payment | Usually none, except margin/collateral or spread | Option premium usually paid upfront |
| Main exam focus | Direction, hedge ratio, basis, margin | Moneyness, volatility, Greeks, maximum gain/loss |
Forward and futures essentials
Forward vs futures decision table
| Feature | Forward | Future |
|---|---|---|
| Trading venue | OTC | Exchange |
| Contract terms | Bespoke | Standardised |
| Counterparty | Direct counterparty exposure | Clearing house structure reduces bilateral exposure |
| Liquidity | Can be difficult to close | Usually easier to trade/offset if active contract |
| Settlement of gains/losses | Usually at maturity | Marked to market daily |
| Margin | Collateral may be negotiated | Initial and variation margin expected |
| Flexibility | High | Lower |
| Main use | Tailored hedge | Standardised hedge or trading |
Notes and examples
Long and short futures logic
| Position | Profit if | Loss if | Typical hedge use |
|---|---|---|---|
| Long future | Futures price rises | Futures price falls | Hedge future purchase or protect against price rise |
| Short future | Futures price falls | Futures price rises | Hedge existing asset or protect against price fall |
Futures payoff
\[ \text{Profit to long futures} = (\text{Closing futures price} - \text{Opening futures price}) \times \text{Contract size} \times \text{Number of contracts} \]\[ \text{Profit to short futures} = (\text{Opening futures price} - \text{Closing futures price}) \times \text{Contract size} \times \text{Number of contracts} \]Basis and convergence
\[ \text{Basis} = \text{Spot price} - \text{Futures price} \]| Concept | Meaning | Exam point |
|---|---|---|
| Positive basis | Spot above futures | Do not assume this is always normal; depends on asset and carry |
| Negative basis | Spot below futures | Often seen where cost of carry exceeds income |
| Convergence | Futures and spot move together near delivery | Basis should tend toward zero at expiry for deliverable contracts |
| Basis risk | Hedge does not perfectly offset spot exposure | A futures hedge can reduce risk without eliminating it |
Cost of carry intuition
For investment assets, the futures price is driven by spot price, financing cost, income/yield, storage, convenience yield, and time.
| Factor increases | Effect on futures price, all else equal |
|---|---|
| Spot price rises | Futures price rises |
| Interest/financing cost rises | Futures price rises |
| Storage cost rises | Futures price rises |
| Income/dividend yield rises | Futures price falls |
| Convenience yield rises | Futures price falls |
Contango and backwardation
| Term | Market condition | Common interpretation | Trap |
|---|---|---|---|
| Contango | Futures price above spot price | Carry costs exceed benefits of holding | Not automatically bearish |
| Backwardation | Futures price below spot price | Convenience yield or scarcity may be high | Not automatically bullish |
| Normal contango/backwardation | Relationship linked to expected spot and risk premium | Used differently across textbooks/markets | Read wording carefully |
Futures Contract Essentials
| Feature | Review point |
|---|---|
| Standardisation | Exchange-traded futures have standard contract terms |
| Margin | Initial and variation margin manage daily credit exposure |
| Marking-to-market | Gains/losses are settled daily |
| Clearing house | Reduces counterparty risk compared with bilateral OTC contracts |
| Closing out | Many futures positions are closed before delivery |
| Contract size | Converts price movement into monetary profit/loss |
| Tick size/value | Smallest price movement and its cash effect |
Core calculation:
\[ \text{Futures P\&L} = \text{price movement} \times \text{contract size} \times \text{number of contracts} \]Futures Hedging Logic
| Exposure | Hedge | Reason |
|---|---|---|
| Own asset and fear price fall | Sell futures | Short futures gains when futures price falls |
| Need to buy asset later and fear price rise | Buy futures | Long futures gains when futures price rises |
| Equity portfolio and fear market fall | Sell index futures | Offsets broad market decline |
| Underinvested cash and fear market rise | Buy index futures | Gains from market rise before physical investment |
For equity index hedging, candidates often see a contract-number calculation. The logic is:
\[ \text{Contracts} = \frac{\text{portfolio value} \times \text{beta adjustment}}{\text{futures price} \times \text{contract multiplier}} \]If the question gives a target beta, the adjustment is often current beta minus target beta for a hedge that reduces exposure.
Basis, Contango, and Backwardation
| Term | Meaning | Trap |
|---|---|---|
| Basis | Difference between spot and futures price | Basis risk means hedge may not offset perfectly |
| Contango | Futures price above spot price | Often linked to carry costs |
| Backwardation | Futures price below spot price | Often linked to convenience yield or scarcity |
| Convergence | Spot and futures prices tend to align near expiry | Hedge effectiveness can change before expiry |
Do not assume futures hedges are perfect. Mismatched maturity, asset, contract size, or currency can all create basis risk.
Forward Contracts
Forwards are more customisable than futures but usually have more counterparty risk. They are common for foreign exchange and bespoke hedging.
| Feature | Forward | Future |
|---|---|---|
| Trading | OTC | Exchange |
| Terms | Custom | Standardised |
| Counterparty risk | Bilateral | Reduced by clearing |
| Margining | As agreed | Standardised margin process |
| Liquidity | Depends on counterparty/market | Often stronger for standard contracts |
| Closing out | By negotiation or offset | Usually easier via exchange |
Margin and daily settlement
| Item | Meaning | Candidate focus |
|---|---|---|
| Initial margin | Collateral deposited when position opened | Not a cost like a premium; it supports obligations |
| Variation margin | Daily settlement of gains/losses | Cash flows occur before final close-out |
| Maintenance margin | Minimum margin level before top-up required | Breach can trigger margin call |
| Margin call | Request for extra collateral | Failure may lead to position closure |
| Leverage effect | Exposure exceeds cash deposited | Percentage loss on margin can be large |
Margin return trap
If a futures position has exposure of 100,000 and initial margin of 5,000, a 2,000 trading loss is:
- 2% of exposure.
- 40% of initial margin.
The exam may test whether you calculate gain/loss against the contract value or the cash committed.
Hedging with futures
Number of contracts
\[ \text{Number of futures contracts} = \frac{\text{Value of exposure to hedge}}{\text{Futures price} \times \text{Contract multiplier}} \]If using beta-adjusted equity index hedging:
\[ \text{Number of index futures} = \frac{\text{Portfolio value} \times \text{Portfolio beta}}{\text{Futures price} \times \text{Contract multiplier}} \]| Hedge objective | Futures position |
|---|---|
| Protect existing holding from price fall | Sell futures |
| Protect future purchase from price rise | Buy futures |
| Reduce portfolio beta | Sell index futures |
| Increase portfolio beta | Buy index futures |
| Hedge currency receipt | Sell currency forward/future in receivable currency |
| Hedge currency payment | Buy currency forward/future in payable currency |
Hedge quality checklist
- Is the underlying in the derivative the same as the exposure?
- Is the expiry aligned with the exposure date?
- Is the contract size creating over-hedging or under-hedging?
- Is beta, duration, or currency conversion required?
- Does basis risk remain?
- Are margin calls affordable during the hedge?
Options core reference
Call and put payoff
\[ \text{Call payoff at expiry} = \max(\text{Underlying price} - \text{Exercise price}, 0) \]\[ \text{Put payoff at expiry} = \max(\text{Exercise price} - \text{Underlying price}, 0) \]\[ \text{Option profit to buyer} = \text{Payoff} - \text{Premium paid} \]\[ \text{Option profit to writer} = \text{Premium received} - \text{Payoff} \]Plain option position summary
| Position | Market view | Maximum loss | Maximum gain | Breakeven at expiry |
|---|---|---|---|---|
| Long call | Bullish | Premium | Unlimited for ordinary share/index call | Exercise price + premium |
| Short call | Neutral/bearish | Potentially unlimited | Premium | Exercise price + premium |
| Long put | Bearish or protective | Premium | Exercise price less premium, if underlying could fall to zero | Exercise price - premium |
| Short put | Neutral/bullish | Exercise price less premium, if underlying could fall to zero | Premium | Exercise price - premium |
Moneyness
| Option | In the money | At the money | Out of the money |
|---|---|---|---|
| Call | Underlying price > exercise price | Underlying price = exercise price | Underlying price < exercise price |
| Put | Underlying price < exercise price | Underlying price = exercise price | Underlying price > exercise price |
Intrinsic and time value
\[ \text{Option premium} = \text{Intrinsic value} + \text{Time value} \]| Option | Intrinsic value |
|---|---|
| Call | Higher of zero or underlying price - exercise price |
| Put | Higher of zero or exercise price - underlying price |
High-yield points:
- Intrinsic value cannot be negative.
- Out-of-the-money options have zero intrinsic value.
- Time value is normally positive before expiry but decays toward expiry.
- Deep in-the-money options have high intrinsic value and may have lower percentage time value.
Notes and examples
Options Cheat Sheet
Options are highly testable because they combine terminology, payoff logic, risk, and calculations.
Calls and Puts
| Option | Buyer has the right to | Buyer view | Seller obligation | Buyer max loss | Seller risk |
|---|---|---|---|---|---|
| Call | Buy underlying at strike | Bullish | Sell if exercised | Premium | Potentially very large |
| Put | Sell underlying at strike | Bearish/protective | Buy if exercised | Premium | Large, but underlying cannot fall below zero |
Moneyness
| Option | In the money | At the money | Out of the money |
|---|---|---|---|
| Call | Underlying price > strike | Underlying price = strike | Underlying price < strike |
| Put | Underlying price < strike | Underlying price = strike | Underlying price > strike |
Intrinsic Value, Time Value, and Break-Even
| Concept | Call | Put |
|---|---|---|
| Intrinsic value | Max(0, underlying - strike) | Max(0, strike - underlying) |
| Time value | Option premium - intrinsic value | Option premium - intrinsic value |
| Long option break-even | Strike + premium | Strike - premium |
| Short option break-even | Strike + premium | Strike - premium |
Key trap: an option can be out of the money but still have value because it may have time value.
Option Payoff Formulas
\[ \text{Long call profit} = \max(0, S_T - K) - \text{premium} \]\[ \text{Long put profit} = \max(0, K - S_T) - \text{premium} \]Where \(S_T\) is the underlying price at expiry and \(K\) is the strike price.
Option Greeks
| Greek | Measures | Long option exposure | Common interpretation |
|---|---|---|---|
| Delta | Sensitivity to underlying price | Calls positive, puts negative | Directional exposure |
| Gamma | Sensitivity of delta | Usually positive for long options | Delta changes faster near strike |
| Theta | Sensitivity to time passing | Usually negative for long options | Time decay hurts buyers |
| Vega | Sensitivity to volatility | Usually positive for long options | Higher volatility helps option value |
| Rho | Sensitivity to interest rates | Varies by option type | Often less central than delta/vega/theta |
Common trap: volatility benefits option buyers because it increases the chance of favourable extreme outcomes. It usually hurts option sellers, all else equal.
Option Pricing Drivers
| Driver rises | Call value usually | Put value usually | Why |
|---|---|---|---|
| Underlying price | Increases | Decreases | Calls benefit from price rise |
| Strike price | Decreases | Increases | Higher strike makes calls less attractive, puts more attractive |
| Time to expiry | Increases | Increases | More time for favourable movement |
| Volatility | Increases | Increases | More uncertainty benefits optionality |
| Interest rates | Often increase | Often decrease | Carry and present value effects |
| Dividends | Often decrease | Often increase | Underlying price may fall when dividend paid |
Option pricing drivers
| Driver rises | Call value | Put value | Reason |
|---|---|---|---|
| Underlying price | Up | Down | Calls benefit from upside; puts from downside |
| Exercise price | Down | Up | Lower strike helps calls; higher strike helps puts |
| Time to expiry | Usually up | Usually up | More time for favourable movement |
| Volatility | Up | Up | Both calls and puts benefit from optionality |
| Risk-free rate | Usually up | Usually down | Present value effect on strike |
| Dividends/income | Down | Up | Underlying expected to fall when income is detached |
Common trap: higher volatility is generally favourable to option buyers and unfavourable to option writers, because the buyer has asymmetric upside and limited downside.
Put-call parity
For European options on a non-dividend-paying underlying:
[ \text{Call price} + \text{Present value of exercise price}
\text{Put price} + \text{Spot price} ]
Rearranged:
[ \text{Call price} - \text{Put price}
\text{Spot price} - \text{Present value of exercise price} ]
Exam use:
- Identify synthetic positions.
- Check whether a quoted option seems relatively expensive.
- Understand arbitrage logic.
- Avoid mixing American exercise features or dividends into a simplified parity question unless stated.
Greeks quick table
| Greek | Measures | Long call | Long put | High-yield exam point |
|---|---|---|---|---|
| Delta | Sensitivity to underlying price | Positive | Negative | Approximate hedge ratio |
| Gamma | Sensitivity of delta to underlying price | Positive | Positive | Shows how unstable delta is |
| Theta | Sensitivity to time passing | Usually negative | Usually negative | Time decay hurts option buyers |
| Vega | Sensitivity to volatility | Positive | Positive | Higher implied volatility helps long options |
| Rho | Sensitivity to interest rates | Usually positive | Usually negative | Often less important than delta/vega/theta |
Delta hedge shortcut
\[ \text{Underlying units to hedge} = \text{Option delta} \times \text{Number of options} \times \text{Contract size} \]Interpretation:
- Long call delta is positive, so a delta-neutral hedge often involves selling underlying.
- Long put delta is negative, so a delta-neutral hedge often involves buying underlying.
- Delta hedges must be rebalanced as delta changes.
Option strategies
Core protective and income strategies
| Strategy | Construction | View | Benefit | Risk/trap |
|---|---|---|---|---|
| Protective put | Long underlying + long put | Bullish but wants downside protection | Floor on loss | Premium reduces return |
| Covered call | Long underlying + short call | Mildly bullish/neutral | Premium income | Upside capped; downside remains |
| Fiduciary call | Long call + cash for exercise | Similar to protective put | Synthetic protected equity exposure | Requires correct PV/cash logic |
| Cash-secured put | Short put + cash to buy underlying | Willing buyer at lower effective price | Premium income | Loss if asset falls sharply |
| Collar | Long underlying + long put + short call | Protect downside, cap upside | Lower or funded protection | Upside is sacrificed |
Notes and examples
Volatility strategies
| Strategy | Construction | Profits if | Loses if | Key exam phrase |
|---|---|---|---|---|
| Long straddle | Buy call and put, same strike/expiry | Big move either way | Small move/time decay | Long volatility |
| Short straddle | Sell call and put, same strike/expiry | Price remains near strike | Large move either way | High risk, short volatility |
| Long strangle | Buy OTM call and OTM put | Very large move either way | Price stays between strikes | Cheaper than straddle, needs bigger move |
| Short strangle | Sell OTM call and OTM put | Price stays in range | Large move beyond strikes | Premium income with tail risk |
Spread strategies
| Strategy | Construction | View | Maximum gain/loss profile |
|---|---|---|---|
| Bull call spread | Buy lower-strike call, sell higher-strike call | Moderately bullish | Gain and loss capped |
| Bear put spread | Buy higher-strike put, sell lower-strike put | Moderately bearish | Gain and loss capped |
| Calendar spread | Different expiries, often same strike | Time/volatility view | Depends on term structure and timing |
| Butterfly | Combination around middle strike | Low volatility/range view | Limited gain/loss |
Common Option Strategies
| Strategy | Built from | Market view / purpose | Main risk |
|---|---|---|---|
| Covered call | Long asset + short call | Income, mildly bullish/neutral | Upside capped; downside in asset remains |
| Protective put | Long asset + long put | Downside protection | Premium cost reduces return |
| Long straddle | Long call + long put, same strike/expiry | Large move either way | Time decay if market quiet |
| Short straddle | Short call + short put | Market stays stable | Potentially very large loss |
| Bull call spread | Buy lower strike call, sell higher strike call | Moderately bullish | Gain capped |
| Bear put spread | Buy higher strike put, sell lower strike put | Moderately bearish | Gain capped |
| Collar | Long asset + long put + short call | Limit downside, sacrifice upside | Upside capped |
A common question-bank trap is confusing profit direction with risk size. For example, a short call benefits from a flat or falling market, but the key suitability issue is the potentially very large loss if the market rises sharply.
Interest rate derivatives
Bond price and interest rate relationship
| If market rates | Bond price | Fixed-rate payer position |
|---|---|---|
| Rise | Falls | Gains if paying fixed/receiving floating in swap terms may be favourable |
| Fall | Rises | Gains if receiving fixed/paying floating may be favourable |
Notes and examples
Always identify whether the position is exposed to price, yield, or cash flow.
Forward rate agreements
An FRA locks in an interest rate for a future borrowing or lending period.
| Party | Use | Gains if actual reference rate |
|---|---|---|
| FRA buyer | Hedge future borrowing rate rise | Rises above agreed FRA rate |
| FRA seller | Hedge future lending/investment rate fall | Falls below agreed FRA rate |
Generic FRA settlement logic:
\[ \text{Settlement amount} = \frac{(\text{Reference rate} - \text{FRA rate}) \times \text{Notional} \times \text{Days}/\text{Year basis}} {1 + \text{Reference rate} \times \text{Days}/\text{Year basis}} \]- If reference rate exceeds FRA rate, buyer receives and seller pays.
- If reference rate is below FRA rate, seller receives and buyer pays.
- Settlement is normally discounted because payment is made at the start of the notional loan period.
Interest rate futures
| Exposure | Concern | Hedge |
|---|---|---|
| Future borrower | Rates may rise | Sell interest rate futures if contract price rises when rates fall |
| Future lender/investor | Rates may fall | Buy interest rate futures if contract price rises when rates fall |
High-yield trap: many short-term interest rate futures are quoted as 100 minus implied rate. Therefore:
- Rates rise -> futures price falls.
- Rates fall -> futures price rises.
Interest rate swaps
| Swap position | Cash flows | Economic view/use |
|---|---|---|
| Pay fixed, receive floating | Pays fixed rate, receives floating rate | Hedge floating-rate borrowing; benefits if floating rates rise |
| Receive fixed, pay floating | Receives fixed rate, pays floating rate | Hedge fixed-rate assets or falling-rate view |
| Plain vanilla IRS | Fixed leg vs floating leg in same currency | Notional usually not exchanged |
| Currency swap | Cash flows in different currencies | Notional may be exchanged initially/finally depending on structure |
Net swap cash flow for a period:
\[ \text{Net cash flow} = (\text{Received rate} - \text{Paid rate}) \times \text{Notional} \times \text{Day-count fraction} \]Interest Rate Direction Rules
| Market event | Bond price | Yield | Long bond future | Short bond future |
|---|---|---|---|---|
| Rates/yields rise | Falls | Rises | Loses | Gains |
| Rates/yields fall | Rises | Falls | Gains | Loses |
High-yield trap: bond prices and yields move inversely.
Floating and Fixed Rate Exposure
| Client exposure | Concern | Possible derivative solution | Logic |
|---|---|---|---|
| Floating-rate borrower | Rates rise | Pay fixed / receive floating swap, cap, or suitable futures hedge | Offsets higher floating payments |
| Floating-rate investor | Rates fall | Receive fixed / pay floating swap or floor | Protects income |
| Fixed-rate borrower | Wants floating cost | Receive fixed / pay floating swap | Converts fixed liability economically |
| Fixed-rate investor | Wants floating income | Pay fixed / receive floating swap | Converts fixed asset economically |
Swaps
| Swap type | Cash flows exchanged | Common use | Main risks |
|---|---|---|---|
| Interest rate swap | Fixed vs floating interest | Manage rate exposure | Counterparty, valuation, early termination |
| Currency swap | Interest and often principal in different currencies | Funding and FX exposure | FX, rate, counterparty |
| Total return swap | Total return of asset vs financing/index return | Synthetic exposure | Counterparty, leverage, reference asset |
| Credit default swap | Credit protection vs premium | Transfer credit risk | Credit event definition, counterparty |
For swaps, focus on who pays fixed, who receives floating, and which side benefits when rates move.
Currency derivatives
| Need | Possible derivative | Position logic |
|---|---|---|
| Will receive foreign currency | Forward/future | Sell that foreign currency forward |
| Will pay foreign currency | Forward/future | Buy that foreign currency forward |
| Want protection but retain upside | Currency option | Buy option rather than lock rate |
| Convert debt exposure | Currency swap | Exchange interest and sometimes principal cash flows |
Forward exchange rate intuition
A currency with a higher interest rate tends to trade at a forward discount relative to a lower-interest-rate currency, based on covered interest parity logic.
High-yield traps:
- Always identify the base and terms currency in the quote.
- Check whether the question asks for domestic currency value or foreign currency amount.
- A forward contract removes upside as well as downside.
- An option preserves upside but costs premium.
Equity derivatives and index products
| Product | Exposure | Common use | Key risk |
|---|---|---|---|
| Equity index future | Broad market index | Beta hedge, tactical allocation | Basis and margin |
| Single-stock future | Specific share exposure | Hedge or leverage | Concentrated price risk |
| Equity option | Share or index optionality | Protection, income, speculation | Premium/time decay/writing risk |
| Equity swap | Return on equity/index vs rate or other return | Synthetic exposure or financing | Counterparty and valuation |
| CFD | Long/short price exposure without ownership | Leveraged trading or hedge | Provider, leverage, funding, gap risk |
Equity index hedge decision
| Portfolio issue | Candidate action |
|---|---|
| Portfolio likely to fall with market | Sell index futures |
| Portfolio has beta above 1 | More contracts needed than market-value-only hedge |
| Portfolio has beta below 1 | Fewer contracts needed |
| Hedge only part of exposure | Multiply by target hedge percentage |
| Portfolio differs from index | Expect tracking/basis risk |
Credit derivatives
| Product | Basic structure | Protection buyer | Protection seller |
|---|---|---|---|
| Credit default swap | Premium paid for compensation if credit event occurs | Pays spread, receives protection | Receives spread, takes credit risk |
| Total return swap | Total return of asset exchanged for financing leg | Receives or pays asset economics depending side | Opposite economics |
CDS exam logic:
- Buying CDS protection is economically similar to reducing or shorting credit exposure.
- Selling CDS protection is economically similar to taking long credit exposure.
- Main risks include counterparty risk, documentation risk, basis risk, and jump-to-default risk.
Commodity derivatives
| Feature | Exam relevance |
|---|---|
| Storage cost | Can materially affect forward/futures price |
| Convenience yield | Benefit of holding physical commodity; can support backwardation |
| Seasonality | Supply/demand patterns can affect pricing |
| Delivery risk | Physical settlement may be impractical for financial investors |
| Roll yield | Gain/loss from replacing expiring futures with later contracts |
Commodity trap: spot price movement and futures roll return are not the same. A commodity futures strategy can lose money in a rising spot market if roll costs are large.
CFDs, warrants, and structured products
Contracts for difference
| Feature | Practical point |
|---|---|
| Ownership | Client does not own the underlying asset |
| Profit/loss | Difference between opening and closing price, adjusted for size |
| Leverage | Small deposit controls large exposure |
| Financing | Long positions often incur funding costs; details depend on provider terms |
| Short exposure | Can be easier than borrowing and short-selling the underlying |
| Main risks | Leverage, provider counterparty, liquidity, gap moves, forced close-out |
Notes and examples
Warrants and covered warrants
| Feature | Warrant / covered warrant |
|---|---|
| Economic nature | Option-like securitised product |
| Issuer | Issuer credit risk matters |
| Exercise | May be cash-settled or physically settled depending on terms |
| Gearing | Price may move more sharply than underlying |
| Time decay | Value can erode as expiry approaches |
| Suitability issue | Complexity and loss of premium/capital at risk |
Structured products
| Structure | Typical building blocks | Exam focus |
|---|---|---|
| Capital-protected note | Zero-coupon bond + option | Protection depends on issuer and terms |
| Autocallable | Note + embedded options/barriers | Early redemption and barrier risk |
| Reverse convertible | Note + short put-like exposure | Enhanced income but downside equity risk |
| Participation note | Bond + call option | Upside participation may be capped or partial |
| Barrier product | Option with knock-in/knock-out feature | Path dependency matters |
Structured product traps:
- “Capital protected” may mean protection only at maturity and subject to issuer credit.
- Income enhancement usually comes from giving up upside or taking downside/barrier risk.
- Secondary-market liquidity may be limited.
- Payoff depends on precise terms, not product name alone.
Contracts for Difference
CFDs provide leveraged exposure to the price movement of an underlying asset without owning it directly.
| Feature | Review point |
|---|---|
| Leverage | Small margin controls larger exposure |
| Long CFD | Gains if underlying rises |
| Short CFD | Gains if underlying falls |
| Financing | Holding costs may apply |
| Dividends/corporate actions | Economic adjustments may apply |
| Risk | Losses can be rapid and may exceed initial outlay depending on terms |
Suitability questions often focus on leverage, capacity for loss, investment experience, and whether the client understands margin.
Warrants and Covered Warrants
| Feature | Review point |
|---|---|
| Call warrant | Option-like exposure to rising underlying |
| Put warrant | Option-like exposure to falling underlying |
| Time decay | Value erodes as expiry approaches, all else equal |
| Gearing | Percentage gains/losses can be magnified |
| Issuer risk | Holder is exposed to issuer obligations |
| Liquidity | Secondary-market liquidity may be limited |
Structured Products
Structured products may combine a deposit/bond component with derivatives to create a defined return profile.
| Feature | Review point |
|---|---|
| Capital protection | May be conditional and depends on issuer strength |
| Participation rate | Determines share in upside |
| Barrier | Payoff may change if barrier breached |
| Autocall | Product may redeem early if conditions met |
| Counterparty/issuer risk | Protection is not the same as risk-free |
| Complexity | Suitability and explanation quality are central |
Candidate trap: “capital protected” does not automatically mean “suitable,” “liquid,” or “free of credit risk.”
Exchange-traded vs OTC derivatives
| Issue | Exchange-traded | OTC |
|---|---|---|
| Standardisation | High | Low to medium |
| Flexibility | Lower | Higher |
| Transparency | Usually higher | Often lower |
| Counterparty risk | Mitigated by clearing arrangements | Bilateral unless collateralised/cleared |
| Liquidity | Often better, but contract-dependent | Depends on counterparties and terms |
| Valuation | Market prices may be observable | Model/pricing assumptions may matter |
| Close-out | Offset trade often possible | May require negotiation or unwind price |
Clearing, collateral, and operational risk
| Term | Meaning | Why it matters |
|---|---|---|
| Central counterparty | Interposes itself between buyer and seller | Reduces bilateral counterparty risk |
| Novation | Replacement of original trade with CCP-facing trades | Changes counterparty exposure |
| Collateral | Assets posted to secure obligations | Reduces credit exposure but creates liquidity needs |
| Haircut | Reduction applied to collateral value | Protects collateral receiver |
| Netting | Offsetting exposures between parties | Reduces settlement/credit exposure |
| Close-out | Termination and valuation after default or unwind | Documentation and valuation are critical |
| Settlement risk | Risk one leg settles but the other does not | Especially relevant across currencies/time zones |
| Model risk | Valuation model is wrong or misused | Important for complex OTC products |
Suitability and advice-focused decision points
For an advice-oriented derivatives exam, expect scenarios where the technically correct product is not suitable for the client.
| Client need or fact pattern | More suitable direction | Less suitable / caution |
|---|---|---|
| Wants to insure portfolio downside and retain upside | Protective put or collar | Short futures if upside retention is important |
| Wants income from existing holding and accepts capped upside | Covered call | Naked call writing |
| Needs certainty over future exchange rate | Forward | Option if unwilling to pay premium may not fit |
| Wants protection but still wants favourable FX movement | Currency option | Forward locks both upside and downside |
| Cannot meet margin calls | Bought option may be safer than futures | Futures/CFDs can force liquidity stress |
| Low risk tolerance and poor product understanding | Avoid complex/leverage products | Structured products with barriers, short options, CFDs |
| Has concentrated shareholding | Protective put/collar may manage downside | Selling calls may create disposal/opportunity issues |
| Seeks leveraged short-term speculation | CFD/option may provide exposure | Must assess loss capacity and leverage risk |
| Needs bespoke hedge | OTC derivative may fit | Standard futures may leave basis/maturity mismatch |
Notes and examples
Suitability checklist
- What is the client trying to hedge or achieve?
- Is the derivative for hedging, income, speculation, or arbitrage?
- Does the client understand leverage and possible losses?
- Can the client meet margin calls and liquidity needs?
- Is maximum loss known or potentially open-ended?
- Is the product exchange-traded or OTC?
- Is counterparty/issuer risk acceptable?
- Is the term aligned with the client’s time horizon?
- Are costs, spreads, premiums, and funding charges understood?
- Could a simpler product achieve the same objective?
Final Quick Checklist
Before attempting a mock exam, confirm you can answer these without hesitation:
- What is the difference between a forward and a future?
- Who has rights and who has obligations in an option contract?
- When is a call or put in the money?
- How do you calculate option break-even?
- What happens to bond prices when yields rise?
- Which derivative hedge protects a share portfolio against a fall?
- Which FX forward hedge is used for a foreign-currency payable?
- Why can a hedge be imperfect?
- What risks remain in a structured product with capital protection?
- Why can option writing be unsuitable for some clients?
- How do margin and leverage change the client’s risk?
- What client facts are essential before recommending a derivative?
Risk reference
| Risk | Definition | Products where prominent | Exam clue |
|---|---|---|---|
| Market risk | Underlying moves adversely | All derivatives | Directional exposure |
| Leverage risk | Losses magnified relative to initial cash | Futures, CFDs, options writing | Small deposit, large exposure |
| Counterparty risk | Other party defaults | OTC swaps/forwards/CFDs/structured products | Bilateral contract or issuer note |
| Liquidity risk | Cannot trade or unwind at fair price | OTC, complex products, thin contracts | Wide spread or bespoke terms |
| Basis risk | Hedge instrument and exposure differ | Futures hedges, cross hedges | Imperfect offset |
| Volatility risk | Implied/realised volatility changes | Options, warrants, structured products | Option value changes without spot move |
| Gap risk | Price jumps through stop/margin levels | CFDs, short options, leveraged futures | Overnight/event moves |
| Funding risk | Financing cost changes or funding unavailable | CFDs, swaps, leveraged strategies | Carry/funding leg |
| Operational risk | Processing, confirmation, settlement failures | OTC and exchange-traded | Documentation and controls |
| Legal/documentation risk | Contract terms do not behave as expected | OTC/structured products | Payoff wording and close-out terms |
| Model risk | Valuation relies on flawed assumptions | OTC options, exotics, structured products | No reliable market price |
High-yield calculation sheet
Percentage return
\[ \text{Percentage return} = \frac{\text{Gain or loss}}{\text{Initial cash outlay}} \times 100 \]Use the correct denominator: premium, margin, full exposure, or invested capital depending on the question.
Futures contract value
\[ \text{Contract value} = \text{Futures price} \times \text{Contract multiplier} \]Futures total profit or loss
\[ \text{Total P/L} = \text{Price movement} \times \text{Contract multiplier} \times \text{Number of contracts} \]Option total premium
\[ \text{Total premium} = \text{Option premium per unit} \times \text{Contract size} \times \text{Number of contracts} \]Long call profit
\[ \text{Long call profit} = \max(\text{Underlying price} - \text{Exercise price}, 0) - \text{Premium} \]Long put profit
\[ \text{Long put profit} = \max(\text{Exercise price} - \text{Underlying price}, 0) - \text{Premium} \]Breakeven points
\[ \text{Call breakeven} = \text{Exercise price} + \text{Premium} \]\[ \text{Put breakeven} = \text{Exercise price} - \text{Premium} \]Swap period cash flow
\[ \text{Cash flow} = \text{Rate} \times \text{Notional} \times \text{Day-count fraction} \]Day-count fraction
\[ \text{Day-count fraction} = \frac{\text{Number of days in period}}{\text{Day-count denominator}} \]Use the day-count basis stated in the question.
Notes and examples
Common Calculation Items
| Calculation type | What to identify first | Common mistake |
|---|---|---|
| Option intrinsic value | Option type, strike, underlying price | Using call logic for a put |
| Option profit | Intrinsic value minus premium for buyer | Forgetting the premium |
| Break-even | Strike plus call premium; strike minus put premium | Reversing call and put rules |
| Futures P&L | Price movement, contract size, number of contracts | Ignoring multiplier or tick value |
| Margin call | Initial margin vs marked-to-market loss | Treating margin as total loss |
| Hedge ratio | Exposure value vs futures contract value | Rounding in wrong direction without reading question |
| Leverage/gearing | Exposure controlled vs capital committed | Confusing percentage return with cash return |
| Swap cash flow | Fixed leg, floating leg, notional, period | Treating notional as exchanged when it is not |
Break-Even Rules
| Position | Break-even |
|---|---|
| Long call | Strike + premium |
| Short call | Strike + premium |
| Long put | Strike - premium |
| Short put | Strike - premium |
The break-even is the same for buyer and seller of the same option, but their profit/loss is opposite.
Worked mini-examples
Long call
Investor buys a call with strike 100 and premium 6.
| Underlying at expiry | Payoff | Profit/loss |
|---|---|---|
| 90 | 0 | -6 |
| 100 | 0 | -6 |
| 106 | 6 | 0 |
| 120 | 20 | 14 |
Notes and examples
Breakeven is 106.
Protective put
Investor owns a share at 100 and buys a put with strike 95 for premium 3.
| Underlying at expiry | Share value | Put payoff | Total before original cost | Net economic result vs 100 share cost plus premium |
|---|---|---|---|---|
| 80 | 80 | 15 | 95 | -8 |
| 95 | 95 | 0 | 95 | -8 |
| 110 | 110 | 0 | 110 | 7 |
The put creates a floor, but the premium reduces upside.
Futures hedge
Portfolio value is 500,000. Index future is 5,000 with multiplier 10. Portfolio beta is 1.2.
[ \text{Contracts} = \frac{500{,}000 \times 1.2}{5{,}000 \times 10}
12 ]
To reduce market exposure, sell 12 index futures, subject to rounding and hedge objective.
Common exam traps
| Trap | Correct approach |
|---|---|
| Confusing premium and margin | Premium is paid for an option; margin supports a futures/CFD/short option obligation |
| Treating long put as bullish | Long put is bearish or protective |
| Ignoring contract multiplier | Multiply quoted price movement by contract size |
| Ignoring number of contracts | Total P/L must include all contracts |
| Assuming forwards have daily margin | Futures are typically daily marked to market; forwards usually settle at maturity |
| Thinking hedging removes all risk | Basis, liquidity, margin, and counterparty risks can remain |
| Treating structured product name as payoff | Read barriers, caps, participation, maturity, and issuer risk |
| Assuming option buyer can lose more than premium | Plain bought option maximum loss is premium, excluding transaction costs and special product features |
| Assuming option writer risk is always limited | Naked calls can have unlimited loss; short puts can have very large loss |
| Forgetting time decay | Long options lose time value as expiry approaches |
| Reversing interest rate futures price logic | Many contracts rise when implied rates fall |
| Ignoring client capacity for loss | Technically effective hedge may still be unsuitable |
Scenario decision guide
| Scenario wording | Likely answer path |
|---|---|
| “Client wants to protect an existing equity portfolio but keep upside” | Buy puts or use collar |
| “Client wants to lock in a price for future purchase” | Long forward/future |
| “Client wants to lock in sale proceeds” | Short forward/future |
| “Client expects little price movement and wants income” | Covered call if holding asset; short straddle/strangle is higher risk |
| “Client expects large move but unsure direction” | Long straddle or strangle |
| “Company will borrow in future and fears rising rates” | FRA buyer or appropriate interest rate hedge |
| “Company will receive foreign currency later” | Sell that currency forward |
| “Investor wants leveraged long exposure without owning shares” | CFD, futures, call option, or warrant depending risk and suitability |
| “Investor cannot tolerate losses beyond initial outlay” | Bought option-style exposure, not futures/CFDs/short options |
| “Need bespoke dates and notional” | OTC forward/swap/option, with counterparty risk assessment |
Last-week revision checklist
- Recreate payoff diagrams for long/short calls and puts from memory.
- Practise breakeven, maximum gain, and maximum loss for each option strategy.
- Drill futures P/L using contract size and number of contracts.
- Review hedge direction: buy to hedge future purchase, sell to hedge existing holding.
- Recheck interest rate futures quote logic.
- Compare OTC and exchange-traded derivatives without relying on memorised slogans.
- Practise suitability scenarios: objective, risk tolerance, knowledge, liquidity, loss capacity.
- Review structured product payoff terms: cap, floor, barrier, participation, issuer risk.
- Mark any question where you assumed a product feature not stated.
High-Yield Exam Mindset
Derivatives questions often test whether you can identify:
- The position — long or short, buyer or seller, hedger or speculator.
- The exposure — equity, interest rate, currency, commodity, credit, volatility, or index.
- The payoff — linear, non-linear, capped, floored, leveraged, or asymmetric.
- The risk transfer — who gains if the underlying rises, falls, or becomes more volatile.
- The practical constraint — margin, liquidity, counterparty risk, suitability, settlement, or tax/regulatory context.
- The calculation driver — contract size, tick value, premium, strike, basis, multiplier, or notional amount.
A useful rule: do not answer from the product name alone. First map the product to its payoff and risk.
The Fast Decision Rules
Long and Short Positions
| Position | Benefits if | Loses if | Typical purpose |
|---|---|---|---|
| Long underlying | Price rises | Price falls | Investment exposure |
| Short underlying | Price falls | Price rises | Hedge or speculation |
| Long future | Futures price rises | Futures price falls | Hedge purchase price or speculate up |
| Short future | Futures price falls | Futures price rises | Hedge sale price or speculate down |
| Long call | Underlying rises enough | Underlying stagnates/falls | Upside with limited premium loss |
| Short call | Underlying stays below strike | Underlying rises sharply | Income, but potentially large loss |
| Long put | Underlying falls enough | Underlying rises/stays flat | Downside protection or bearish view |
| Short put | Underlying stays above strike | Underlying falls sharply | Income, but large downside risk |
Notes and examples
If the Client Is Hedging
| Risk faced | Common hedge logic | Directional clue |
|---|---|---|
| Holds shares and fears fall | Buy put or sell index/equity futures | Need gain when market falls |
| Will buy asset later and fears rise | Buy future/forward or buy call | Need gain when price rises |
| Will sell asset later and fears fall | Sell future/forward or buy put | Need lock-in or floor |
| Floating-rate borrower fears rate rise | Pay fixed/receive floating swap, cap, or short rate futures depending product | Need benefit when rates rise |
| Fixed-rate borrower wants floating exposure | Receive fixed/pay floating swap | Converts fixed cost to floating |
| Overseas receivable in foreign currency | Sell that currency forward | Protect domestic value |
| Overseas payable in foreign currency | Buy that currency forward | Protect cost of payment |
Risk Review for Derivatives Advice
The CISI IAD Derivatives Technical Unit is not only about identifying payoffs; it also tests whether derivative use is appropriate in a client context.
Key Risk Types
| Risk | Meaning | Where it appears |
|---|---|---|
| Market risk | Underlying moves adversely | All derivatives |
| Leverage risk | Small price move creates large loss | Futures, CFDs, options sold |
| Margin risk | Need to post additional collateral | Futures, CFDs, some OTC trades |
| Counterparty risk | Other party fails to perform | OTC derivatives, structured products |
| Liquidity risk | Cannot trade or close at fair price | OTC, warrants, stressed markets |
| Basis risk | Hedge does not match exposure exactly | Futures and proxy hedges |
| Volatility risk | Option values change with volatility | Options, warrants, structured products |
| Model risk | Valuation assumptions are wrong | OTC and complex derivatives |
| Early termination risk | Exit cost or valuation may be unfavourable | Swaps, structured products |
| Regulatory/tax risk | Treatment may affect outcome | Product-dependent |
Notes and examples
Suitability Decision Path
flowchart TD
A[Client objective] --> B{Hedge, income, speculation, or leverage?}
B --> C[Identify underlying exposure]
C --> D[Choose product type]
D --> E{Client understands payoff and downside?}
E -- No --> F[Do not recommend until explained and assessed]
E -- Yes --> G{Capacity for loss and liquidity need acceptable?}
G -- No --> H[Consider simpler or lower-risk alternative]
G -- Yes --> I{Costs, margin, tax, and exit terms acceptable?}
I -- No --> H
I -- Yes --> J[Document rationale and monitor]
Suitability Red Flags
Be cautious where a client:
- Needs capital certainty but is considering leveraged or barrier-based exposure.
- Cannot meet margin calls.
- Does not understand that derivatives may create losses larger than the initial outlay.
- Wants income from option writing without understanding tail risk.
- Uses short-dated options for long-term investment objectives.
- Uses complex products where a simpler hedge would meet the objective.
- Has a concentrated underlying exposure and adds more correlated derivative risk.
- Treats “hedging” as risk-free rather than risk-reducing.
Common Candidate Mistakes
Confusing buyer and seller risk Option buyers have rights; option sellers have obligations.
Forgetting the premium An in-the-money option is not necessarily profitable once premium is included.
Assuming hedges eliminate all risk Basis risk, timing mismatch, liquidity, and costs remain.
Misreading interest rate futures Understand whether price rises or falls when yields/rates move.
Ignoring contract size A one-point price movement may represent a much larger cash movement.
Treating notional as cash invested Derivative notional measures exposure, not always money paid.
Assuming exchange-traded means risk-free Clearing reduces counterparty risk but does not remove market or margin risk.
Overlooking suitability A technically correct hedge may still be inappropriate for a client.
Confusing speculation with hedging A hedge reduces an existing risk; speculation creates or increases exposure.
Missing time decay Long options and warrants lose time value as expiry approaches, all else equal.
Product Recognition Drill
Use this table as a quick self-test before starting original practice questions.
| Clue in question | Product likely tested | What to focus on |
|---|---|---|
| “Right but not obligation” | Option or warrant | Premium, strike, moneyness |
| “Daily margin” | Future or CFD | Mark-to-market and leverage |
| “Custom OTC agreement” | Forward or swap | Counterparty and bespoke terms |
| “Exchange of fixed and floating” | Interest rate swap | Who pays fixed, who receives floating |
| “Protect portfolio from market fall” | Put or short index future | Downside hedge |
| “Income from premium” | Option writing | Tail risk |
| “Barrier breached” | Structured product/option | Conditional payoff |
| “Receivable in foreign currency” | FX forward | Sell foreign currency |
| “Payable in foreign currency” | FX forward | Buy foreign currency |
| “Underlying volatility rises” | Options/warrants | Long options usually benefit |