Financial Risk Manager (FRM) Financial Markets and Products Syllabus

Financial Markets and Products syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Financial Markets and Products in Financial Risk Manager (FRM), not a summary of it.

1. 1

   Derivative Markets and Structures

   4 topics

   • Exchange-traded versus over-the-counter markets
   • Clearing, margining, and central counterparties
     • Initial and variation margin mechanics
     • Netting and the role of CCPs after the crisis
   • Market participants: hedgers, speculators, and arbitrageurs
   • Types of orders and market microstructure basics
2. 2

   Futures and Forwards

   4 topics

   • Mechanics of forward and futures contracts
     • Marking to market and daily settlement
     • Convergence of futures to spot at maturity
   • Hedging with futures
     • Minimum-variance hedge ratio and hedge effectiveness
     • Basis risk and rolling the hedge
   • Pricing forwards: cost of carry and convenience yield
   • Interest rate, currency, and commodity futures
3. 3

   Swaps

   4 topics

   • Plain vanilla interest rate swaps
     • Cash flow mechanics and the comparative advantage argument
     • Valuation as bonds and as forward rate agreements
   • Currency and cross-currency swaps
   • Equity, commodity, and credit default swaps
   • Counterparty risk in swap transactions
4. 4

   Options

   4 topics

   • Option payoffs and put-call parity
   • Trading strategies
     • Spreads, straddles, strangles, and butterflies
     • Protective puts and covered calls
   • Bounds on option prices and early exercise
   • Exotic options: barrier, Asian, lookback, and digital
5. 5

   Fixed Income Securities and Markets

   4 topics

   • Bond fundamentals and conventions
     • Day-count conventions and accrued interest
     • Discount factors, spot, and forward rates
   • The term structure of interest rates
     • Bootstrapping the yield curve
     • Theories of the term structure
   • Mortgage-backed securities and prepayment risk
   • Rating agencies and the credit-rating process
6. 6

   Commodities, Currencies, and Funding

   4 topics

   • Commodity forward curves: contango and backwardation
   • Foreign exchange markets and covered interest parity
   • Money markets and repurchase agreements
   • Corporate bonds, default, and recovery rates

Financial Markets and Products flashcards for Financial Risk Manager (FRM)

23 of 59 cards from the Financial Markets and Products deck — real questions with worked answers.

1. What is the key structural difference between exchange-traded and over-the-counter (OTC) markets?

   Exchange-traded markets use standardized contracts traded on a central, regulated venue with a clearinghouse guaranteeing performance. OTC markets involve customized, bilaterally negotiated contracts directly between two parties, with each bearing the other's credit risk (though central clearing is now common post-2008).

2. List three advantages of OTC markets over exchange-traded markets.

   (1) Customization of contract terms (size, maturity, underlying); (2) flexibility to trade non-standard or illiquid products; (3) privacy/confidentiality of trades. The trade-offs are greater counterparty credit risk and lower transparency/liquidity.

3. What is the function of a central counterparty (CCP) in cleared markets?

   A CCP interposes itself between buyer and seller via novation, becoming the buyer to every seller and the seller to every buyer. This concentrates and mutualizes counterparty risk, requires margin from members, and largely eliminates bilateral credit exposure.

4. Distinguish initial margin from variation margin.

   Initial margin is collateral posted at trade inception to cover potential future exposure (a buffer against adverse moves). Variation margin is posted/received daily to settle the actual mark-to-market gains and losses, keeping the account current.

5. What is a margin call and when is it triggered?

   A margin call is a demand to deposit additional funds when the margin account balance falls below the maintenance margin level. The trader must restore the balance up to the initial margin level, and the extra amount deposited is the variation margin.

6. Define the three main types of derivatives market participants.

   Hedgers use derivatives to reduce/offset existing risk exposures; speculators take positions to profit from anticipated price movements (bearing risk for return); arbitrageurs lock in riskless profit by exploiting price discrepancies across markets or instruments.

7. What is arbitrage and what does its absence imply for pricing?

   Arbitrage is a strategy generating riskless profit with zero net investment by simultaneously buying and selling related assets that are mispriced. The no-arbitrage assumption underlies most derivative pricing: in equilibrium such opportunities are competed away, forcing fair-value relationships like cost-of-carry.

8. Compare a market order with a limit order.

   A market order executes immediately at the best available current price, guaranteeing execution but not price. A limit order specifies a maximum buy (or minimum sell) price, guaranteeing price (or better) but not execution; it rests in the order book until filled or cancelled.

9. What does a stop-loss (stop) order do?

   A stop order becomes a market order once the price reaches a specified stop level. A sell-stop is placed below the current price to limit losses or protect profits on a long position; a buy-stop is placed above the current price (e.g., to cover a short).

10. In market microstructure, what is the bid-ask spread and what does it represent?

    The bid-ask spread is the difference between the highest price buyers will pay (bid) and the lowest price sellers will accept (ask). It compensates market makers for order-processing costs, inventory risk, and adverse selection (trading against better-informed parties), and is a key measure of liquidity.

11. Define a forward contract and state its payoff at maturity to the long position.

    A forward is an OTC agreement to buy/sell an asset at a fixed delivery price $K$ on a future date $T$. The long's payoff at $T$ is $S_T - K$, where $S_T$ is the spot price at maturity; the short's payoff is $K - S_T$.

12. List four key differences between forward and futures contracts.

    (1) Forwards are OTC/customized vs. futures exchange-traded/standardized; (2) forwards settle at maturity vs. futures marked-to-market daily; (3) forwards carry bilateral counterparty risk vs. futures guaranteed by clearinghouse with margin; (4) forwards usually held to delivery vs. futures often closed out early.

13. What is the convergence property of futures prices?

    As the delivery month approaches, the futures price converges to the spot price of the underlying, so at expiration $F_T = S_T$. Otherwise an arbitrage opportunity between the futures and the cash market would exist.

14. Define the basis in a hedging context and write its formula.

    Basis is the difference between the spot price of the asset being hedged and the futures price used: $\text{Basis} = S_t - F_t$. Basis risk arises because the basis fluctuates and may be nonzero when the hedge is lifted.

15. What is the optimal hedge ratio (minimum-variance hedge ratio) and its formula?

    It is the ratio of futures position to exposure that minimizes variance: $$h^{*} = \rho \frac{\sigma_S}{\sigma_F}$$ where $\rho$ is the correlation between spot and futures price changes, $\sigma_S$ the std. dev. of spot changes, and $\sigma_F$ that of futures changes.

16. How is the optimal number of futures contracts for a hedge computed?

    $$N^{*} = h^{*} \frac{Q_A}{Q_F}$$ where $h^{*}$ is the minimum-variance hedge ratio, $Q_A$ is the size of the position being hedged, and $Q_F$ is the size of one futures contract.

17. How many futures contracts are needed to hedge an equity portfolio using its beta?

    $$N^{*} = \beta \frac{V_P}{V_F}$$ where $\beta$ is the portfolio beta relative to the index, $V_P$ is the portfolio value, and $V_F$ is the value of one futures contract (futures price × multiplier). To change beta to $\beta^{*}$, use $N = (\beta^{*}-\beta)\frac{V_P}{V_F}$.

18. Contrast a long hedge with a short hedge.

    A short hedge (sell futures) protects against a fall in the price of an asset you own or will sell. A long hedge (buy futures) protects against a rise in the price of an asset you plan to purchase in the future.

19. State the cost-of-carry formula for the forward price of an investment asset with no income.

    $$F_0 = S_0 e^{rT}$$ where $S_0$ is the spot price, $r$ the continuously compounded risk-free rate, and $T$ the time to maturity. The forward price equals spot plus the cost of carrying (financing) the asset.

20. How is the forward price adjusted for a known continuous dividend/income yield $q$?

    $$F_0 = S_0 e^{(r-q)T}$$ For an asset paying a continuous yield $q$ (e.g., a stock index), the income reduces the net cost of carry. For known discrete income with present value $I$: $F_0 = (S_0 - I)e^{rT}$.

21. Define convenience yield and give the commodity forward pricing formula including it.

    Convenience yield $y$ is the benefit of physically holding a commodity (e.g., keeping production running, meeting demand spikes) not available to a futures holder. $$F_0 = S_0 e^{(r+u-y)T}$$ where $u$ is the storage cost rate; a high convenience yield can push markets into backwardation.

22. Define contango and backwardation.

    Contango: futures price exceeds the expected future spot (or futures price rises with maturity), typically when carrying costs dominate. Backwardation: futures price is below the expected future spot (or falls with maturity), often driven by a high convenience yield.

23. State the cost-of-carry formula for a currency forward (covered interest parity).

    $$F_0 = S_0 e^{(r_d - r_f)T}$$ where $S_0$ is the spot exchange rate (domestic per foreign), $r_d$ the domestic risk-free rate, and $r_f$ the foreign risk-free rate. The foreign rate acts like a dividend yield on the foreign currency.

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