Exam identity and use
This Quick Reference supports candidates preparing for the Chartered Institute for Securities & Investment CISI IAD Derivatives Technical Unit exam, code CISI IAD Derivatives. It is independent review support and original practice support, not official exam-owner material.
Use it as a compact revision aid for:
- 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.
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 |
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 |
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 |
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.
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 |
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 |
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 |
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:
\[
\text{Settlement amount} =
\frac{(\text{Reference rate} - \text{FRA rate}) \times \text{Notional} \times \text{Days}/\text{Year basis}}
{1 + \text{Reference rate} \times \text{Days}/\text{Year basis}}
\]
Interpretation:
- 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:
\[
\text{Net cash flow} =
(\text{Received rate} - \text{Paid rate}) \times \text{Notional} \times \text{Day-count fraction}
\]
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 |
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.
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 |
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?
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.
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 |
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.
Practical next step
Use this Quick Reference as a checklist, then complete a timed mixed set of CISI IAD Derivatives-style questions covering futures, options, swaps, suitability, and calculations. Review every missed question by identifying the product, position, payoff, risk, and client objective before moving to another practice set.