SAMPLE WORK
TOPIC 1
INTRODUCTION TO DERIVATIVES AND INSTRUMENTS
QUESTION 1
April 2025 Question One A&B
- Summaries FOUR ways in which derivative markets are regulated.
- Assess THREE lessons learnt from evolution of derivatives market in the financial system.
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Answer
Ways derivative markets are regulated:
- Exchange oversight: Organized exchanges (e.g., CME Group) regulate trading by setting rules for execution, clearing, and settlement. They promote fairness, transparency, and market integrity, and impose margin requirements to reduce counterparty risk.
- Regulatory authority supervision: Government agencies like the CFTC (U.S.) and FCA (U.K.) monitor derivative markets, enforce rules against fraud and manipulation, and require market participants to register and disclose trading activity to improve accountability.
- Clearinghouses and CCPs: Central counterparties stand between buyers and sellers in standardized derivatives, reducing systemic risk. They require collateral deposits and adjust them daily through mark-to-market processes to manage potential defaults.
- Reporting and disclosure requirements: Regulations often require derivatives—especially OTC contracts—to be reported to trade repositories. This increases transparency and helps regulators track risks across the financial system, as seen under laws like the Dodd-Frank Act
Key lessons from the evolution of the derivatives market:
- Importance of risk management: The development of derivatives highlights their value as tools for managing financial risks. Initially used for hedging agricultural prices, they now help manage risks such as interest rates, currencies, and credit exposure. When applied properly, they stabilize finances and reduce uncertainty. However, excessive speculation or poor risk control can result in severe losses, as demonstrated during the 2008 financial crisis.
- Need for transparency and regulation: The global financial crisis revealed the dangers of poorly regulated and opaque derivatives markets, especially with complex OTC instruments like credit default swaps. The lack of oversight created widespread uncertainty and systemic risk. This led to the lesson that stronger regulation, improved transparency, and centralized clearing are essential to maintaining market stability.
- Role of innovation in efficiency: The growth of derivatives markets shows their contribution to financial innovation and improved market efficiency. New instruments have enabled better risk transfer and price discovery, making it easier for participants to manage exposures. However, innovation must be approached cautiously to ensure that new products do not introduce excessive risk into the financial system.
QUESTION 2
December 2024 Question One A
Explain the use of the following exotic derivatives in your country:
- Range forward contract.
- Asian options.
- Chooser options.
Answer
- Range forward contract: This is a cost-free strategy for managing foreign exchange risk. In an environment where the Kenyan shilling is unstable, firms can lock in a minimum and maximum exchange rate. This shields them from major unfavorable currency shifts while still allowing some benefit from favorable movements within the set range, without requiring an upfront premium.
- Asian options: These are suitable for businesses exposed to fluctuating prices over time, such as tea exporters whose earnings depend on average prices over a given period. Since the payoff is calculated using the average price of the underlying asset, it reduces the impact of short-term volatility, making the option cheaper and providing more consistent hedging results.
- Chooser options: These options are useful for investors who anticipate significant price changes but are unsure of the direction. They allow the holder to later decide whether the option will be a call or a put once more information becomes available, offering flexibility in uncertain market conditions, such as before major economic or policy developments.
QUESTION 3
December 2024 Question Three B
Discuss THREE demerits of derivatives.
Answer
- Greater systemic risk: Extensive use of derivatives, especially in opaque OTC markets, can heighten systemic risk. The interconnected nature of these contracts means that the failure of one institution can spread financial distress across the system. The 2008 financial crisis highlighted this issue, where heavy involvement in credit default swaps contributed to widespread instability. Limited transparency in such markets also makes regulatory oversight more challenging.
- Risk of market manipulation: Because derivatives involve leverage, they can be exploited to influence the price of underlying assets. Large market players may take substantial positions to sway prices in their favor, creating artificial price movements that disadvantage other participants. This risk is more pronounced in less regulated or lower-liquidity markets.
- High risk and complexity: Derivatives are often complicated instruments that can be hard for non-specialists to grasp. This complexity increases the likelihood of underestimating the risks, particularly in speculative activities. Although they are intended for risk management, misuse or limited understanding can lead to heavy losses, sometimes exceeding the initial investment. Their leveraged nature means even small market changes can cause significant losses, as illustrated by incidents like the collapse of Barings Bank
QUESTION 4
August 2024 Question Two A
Describe THREE distinguishing features between “forwards” and “futures”.
Answer
- Counterparty risk and clearing: Futures carry minimal counterparty risk because a clearinghouse guarantees the transaction. Forward contracts, however, involve direct agreements between parties, exposing each side to the possibility of default by the other.
- Liquidity and settlement process: Futures are generally more liquid and are settled daily through a mark-to-market system. Forward contracts tend to be less liquid and are usually settled only once at the end of the contract term.
- Standardization and trading platform: Futures contracts are standardized in size, quality, and maturity dates and are traded on organized exchanges. In contrast, forward contracts are tailor-made agreements negotiated privately in over-the-counter (OTC) markets.
QUESTION 5
August 2024 Question Five A
Discuss THREE functions of derivatives markets in financial markets.
Answer
- Price discovery: These markets capture traders’ expectations about future prices. The pricing of futures and forward contracts provides forward-looking insights that help businesses and producers make better decisions.
- Speculation and liquidity: Derivatives create opportunities for speculators to profit from anticipated price changes. Their activity also enhances market liquidity, making it easier and more cost-effective for hedgers to manage risk.
- Risk management (hedging): Derivatives enable participants to safeguard against uncertainties such as fluctuations in commodity prices or exchange rates. For instance, a firm can lock in a future price through a futures contract to ensure stable costs.
QUESTION 6
April 2024 Question One A
In relation to elementary principles of derivative pricing:
- Explain the term “the law of one price”.
- Describe THREE principles underlying the law of one price.
Answer
i) The Law of One Price is a key concept in finance and economics stating that identical assets, or portfolios with the same characteristics, should sell for the same price. It is grounded in arbitrage. If the same asset is priced differently across markets, traders can earn a risk-free profit by buying at the lower price and selling at the higher one. This process pushes prices back into alignment, maintaining equilibrium.
ii) Although it is a theoretical concept, the Law of One Price relies on several assumptions about how markets operate. Three main principles support it:
- Perfect substitutability: The assets involved must be identical in every respect, including cash flows, risk levels, and maturity. In derivatives, this means a portfolio that replicates the payoff of a derivative should have the same value as the derivative itself. If assets differ in any way, price equality is not guaranteed.
- No transaction costs: The principle assumes a market without trading frictions such as commissions, taxes, or bid-ask spreads. In reality, these costs exist, meaning price differences must exceed such costs for arbitrage to be worthwhile. This leads to a “no-arbitrage range” within which small price gaps can persist.
- No-arbitrage condition: This is the foundation of the law. Arbitrageurs exploit price differences between identical assets to make risk-free gains. Their trading activity removes these discrepancies, ensuring prices converge. As a result, the Law of One Price is closely linked to the no-arbitrage principle in derivative pricing.
QUESTION 7
April 2024 Question Three A
Enumerate FOUR reasons why fixed income derivatives are more difficult to value than equity derivatives.
Answer
- Difficulty applying no-arbitrage pricing: Unlike equities, where a single traded asset can represent the underlying, fixed income markets lack one asset that captures the full yield curve. This makes it harder to enforce a single no-arbitrage price.
- Interaction between rates and volatility: In fixed income markets, interest rate levels and their volatility are often linked. This relationship adds another layer of complexity, as both factors must be modeled together, making valuation more challenging than in equity markets.
- More complex underlying risk: Equity derivatives depend on a single stock price, whereas fixed income derivatives are tied to the entire yield curve. Since the yield curve is dynamic and can change in shape and level, it is far more difficult to model.
- More intricate stochastic behavior: Interest rates, which underlie fixed income derivatives, behave in a more complicated way than stock prices. They are random but also tend to move toward a long-term average and are constrained by lower bounds, requiring advanced modeling techniques.
QUESTION 8
April 2024 Question Four B
Explain the following terms as used in the derivative markets:
- Forward contract.
- Futures contract.
- Swap contract.
Answer
- Forward contract: A tailored, private agreement traded over-the-counter (OTC) in which two parties agree to buy or sell an asset at a specified future date and price. It carries counterparty risk since there is no central guarantor.
- Futures contract: A standardized agreement traded on an exchange to buy or sell an asset at a set price on a future date. Counterparty risk is minimized because a clearinghouse guarantees the transaction.
- Swap contract: A customized OTC agreement where two parties exchange streams of cash flows over time, usually based on a notional amount and differing interest rate structures, such as fixed versus floating rates.
QUESTION 9
December 2023 Question One A&B
Explain the following terms as used in derivatives markets:
- Forward commitments.
- Contingent claims.
- Exotic derivatives.
Describe THREE market participants in derivatives markets.
Answer
i) Forward commitments: These are agreements between two parties to buy or sell an underlying asset at a fixed price on a specified future date. Unlike exchange-traded futures, they are usually customized and negotiated privately in over-the-counter (OTC) markets. They are commonly used for hedging purposes or to speculate on future price movements.
ii) Contingent claims: These are financial instruments whose value depends on the occurrence of a particular future event. Options are a typical example, as their value is determined by whether the underlying asset reaches a specified strike price before expiration. Other contingent claims may depend on events such as interest rate changes or credit rating shifts.
iii) Exotic derivatives: These are more complex derivative instruments with sophisticated payoff structures compared to standard contracts like options or futures. They are often designed to meet specific investment or risk management needs. Examples include barrier options (activated when a price level is reached), basket options (linked to multiple assets), and variance swaps (based on volatility).
(b) Participants in derivatives markets:
- Arbitrageurs: These traders aim to exploit pricing inefficiencies between related markets or instruments. By simultaneously entering offsetting positions, they seek to earn risk-free profits from temporary price differences.
- Hedgers: These participants use derivatives to reduce exposure to price risks. For instance, a firm expecting future costs, such as a grain processor, may use futures contracts to protect against rising commodity prices.
- Speculators: These individuals or institutions take positions in derivatives to profit from expected price movements. They may buy or sell contracts depending on whether they anticipate prices will rise or fall.
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