Construct a simple up/down binomial tree to price a European call. Learn risk-neutralprobabilities, replicate pay-offs with ∆-hedged portfolios, and generalise theframework for any derivative where pay-off depends on one period of pricemovement.

Employ put–call parity to replicate forwards, build collars, and decompose equityvalue into debt + option components. Extend to forward parity for off-marketstrikes and see how corporate finance uses these identities.

Break option value into intrinsic and time components, test moneyness, andstudy six core inputs (spot, strike, time, rate, volatility, income). Use arbitrage andreplication arguments to bound fair prices before jumping into models later.

View a plain-vanilla swap as a strip of forward contracts: solve for the par swaprate that sets initial value to zero, then track mark-to-market gains as rates move.Covers fixed-for-float interest swaps, currency swaps and the impact of clearing.

Derive fair-value futures prices at inception, then follow daily variation margin tosee how gains/losses crystallise. Compare futures with equivalent forwards, explorerate-futures versus FRAs, and note how central clearing reshapes counter-partyrisk.

Price and mark-to-market forwards between trade date and expiry—first fornon-income assets, then for instruments with cash flows. Extend the logic tounderlyings that have their own term structures (rates, FX), and master forwardrate agreements (FRAs) as a special case.

Link spot and forward prices through no-arbitrage. Build synthetic forwards bycombining cash positions with borrowing/lending, then adjust for dividends,storage, or FX rate differentials in the cost-of-carry. Understand why forwardprices can trade above or below spot—depending on net carry.

See how issuers hedge earnings, how investors gain cheap leverage or preciseexposures, and where dangers lurk: basis, liquidity, counter-party and systemicrisk. Real examples show futures lowering funding needs and swaps smoothingcash-flow volatility—alongside cautionary tales of excessive leverage.

Firm promises vs. flexible rights: dissect forwards, futures and swaps(linear pay-offs) then contrast them with options and credit derivatives(non-linear, buyer-only choice). Learn how margin, daily settlement and embeddedleverage shape risk, and why put–call parity lets you build a synthetic forward fromtwo options.

Quick tour of the derivatives universe: define what makes a contract aderivative, classify popular underlyings (equities, rates, FX, commodities, credit),and compare OTC versus exchange-traded markets—including how centralcounterparties (CCPs) reduce default risk. By the end you’ll know where eachinstrument trades, why standardisation matters for liquidity, and how margin keepsthe system safe.