Learning objectives
By the end you can:
- Classify any derivative as a forward commitment or a contingent claim, state what each shape does to the payoff diagram and to the credit exposure, and place forwards, futures, swaps, options, caps, swaptions and credit default swaps in the right family.
- Contrast exchange-traded and over-the-counter derivatives on five dimensions (standardisation, counterparty, clearing, margin and transparency) and say which dimension drives a given desk's choice.
- Explain novation and the clearing house's default waterfall, distinguish initial from variation margin as institutions rather than formulas, and compute the illustrative scale of each on a stated swap.
- State the purposes derivatives serve and the risks they carry, each with its mechanism and one public-record example, so that "derivatives are risky" becomes five separate, separately manageable claims.
- Price with the Black model, explaining why replacing spot with the forward removes the carry and dividend terms, and apply it to an option on a futures contract with the American-exercise caveat identified.
- Decompose a cap into caplets and a floor into floorlets, price each off the forward curve with its own expiry, and explain why a one-year quarterly cap contains three options and not four.
- Prove and use rate-option parity: cap minus floor at a common strike equals the payer swap on the same schedule, with the at-the-money-forward strike and the zero-cost collar as its two special cases.
- Price payer and receiver swaptions, apply payer-receiver parity to recover either from the other, compute a straddle's breakeven rate move, and carry a swaption to expiry and settle it in cash or in a swap.
- Price and mark a fixed-for-fixed currency swap off two discount curves, and split the mark to market into carry, a rate component and a currency component that add back exactly.
- Value an equity swap in its return-for-fixed, return-for-floating and return-for-return forms, computing each leg separately and reading the result as synthetic exposure rather than as a trade.
The understanding objective is what the gate rewards: you earn a pass by pricing the caplet by hand and by making the exercise decision yourself. Code and assistants make the strip, the surface and the mark-to-market fast, and the verification section states exactly which identity has to fire before any of that output is admissible.
Prerequisites & connections
Builds on. DV1.01 gave you the cost-of-carry argument under three compounding conventions, the forward rate agreement, the valuation of a swap as two bonds, and the par swap rate c = (1 - DF_final) / Σ DF_i. Everything here inherits those conventions and must not contradict them. DV1.02 gave you risk-neutral pricing, the binomial tree, Black-Scholes-Merton and the Greeks; the Black model below is that machinery with the forward substituted for spot. DV1.03 gave you option strategies, the collar, delta and gamma hedging, and one paragraph plus one practice item on caps, which this node finishes. FI1.03 gave you bootstrapping, so that a discount curve is an object you build rather than one you are handed. From the analyst core, M1.09 owns hedge accounting and M0.02 owns the clearing and settlement of cash equities.
Feeds forward. FI1.04 assumes an interest-rate volatility when it calibrates its tree, and the swaption market is where that number comes from; a callable bond's issuer option is a short receiver swaption the holder never chose to sell, and the option cost that module computes is the same quantity priced two ways. AA1.02 implements allocation shifts through overlays that are usually swaps, and the equity-swap valuation here is what its risk budget consumes. AL1.01 reads option and swap overlays inside a fund's return stream. MS1.04 owns the cross-currency basis as a funding phenomenon, which is the reason a currency swap priced off two clean domestic curves will not match a dealer's quote.
The material this node does not own is worth naming precisely, because four neighbouring files already teach it and rebuilding any of it here would create a contradiction rather than a lesson. DV1.01 owns forward, futures and FRA pricing and vanilla swap valuation, including the day-count and compounding simplifications carried here unchanged. DV1.02 owns Black-Scholes-Merton, put-call parity on a spot underlying, and the Greeks. DV1.03 owns option strategies, delta and gamma hedging, and transaction-level foreign-exchange hedging with forwards and risk reversals. DV1.05, Exchange-Traded Derivatives in Practice: Margins, Expiry, Tax and Portfolio Uses, owns exchange-traded contract mechanics, margin arithmetic in rupees, expiry and settlement practice, the tax overlay and the portfolio uses of futures. FI1.04 owns embedded options, option-adjusted spread and credit default swap pricing. M0.06 owns personal taxation of securities. Where those modules own a concept, this one cites the idea in plain language and moves on.