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Last revised Sep 30, 2026

Financial Engineering

Price the contract, then measure and move the risk it carries

Financial engineering turns dated cash flows into tradable instruments: forwards, futures, swaps, options, and the structured notes assembled out of them. This collection works through the pricing machinery behind those instruments — no-arbitrage relations, binomial trees, the Black-Scholes-Merton framework, simulation and martingale methods — together with the risk practice that surrounds them: delta hedging, volatility, interest-rate models, value at risk and credit exposure. We keep the ground a standard university course covers, drop the padding, and rebuild the material as short, self-contained articles you can read one at a time. Work through them and you can price a contract, read a payoff diagram, and judge whether a quoted price makes sense.

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Earn11CreditsinFinance

8Modules63Sessions

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Certificates, credits, and a record of your progress.

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11 base learning credits

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Modules in this Collection’s System

One session. One clear takeaway.Each short session develops one distinct idea with a clear takeaway. Together, the sessions show how those ideas connect into a structured understanding of the topic.

Payoffs, Insurance, and Simple Hedges

What a derivative is, how forwards and options pay off, and how positions get insured.

8Sessions

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Forwards, Futures, and Swaps in Practice

Pricing carry, futures mechanics, commodity and rate contracts, and how swaps are valued.

8Sessions

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Parity Relations and the Binomial Method

The relations that link option prices, and the tree that prices almost anything.

8Sessions

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Black-Scholes and the Market-Maker's View

The formula, the Greeks, implied volatility, and hedging as a running business.

8Sessions

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Designing Structured and Corporate Payoffs

Assembling notes, capital structures, compensation and real options out of the same parts.

8Sessions

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Modelling Prices: Distributions and Simulation

What price distributions look like, how to simulate them, and where the continuous-time model comes from.

8Sessions

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The Pricing Equation and Martingale Methods

From the partial differential equation to change of measure, and the payoffs those tools unlock.

7Sessions

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Volatility, Interest Rates, and Risk Measurement

Where the model gets stretched: the smile, rate and credit models, and portfolio risk numbers.

8Sessions

Coming soon

What You'll Walk Away With

1Payoff diagrams for every position covered, drawn from cash flows so you can read a strategy and locate its breakevens at a glance
2A no-arbitrage checklist for forwards, futures, swaps and options, used to test a quoted price before trusting it
3Tree-based valuation techniques you can run by hand for European and American payoffs
4A Greek-by-Greek hedging framework for managing an option book as spot, time and volatility move
5A trap list of model and risk failures — smiles, fat tails, value-at-risk blind spots, credit and counterparty exposure

You'll Have Answers To

?Why does a forward price depend on storage and financing rather than on a forecast?
?What does a market-maker actually hold after selling you an option?
?If a tree and a closed-form formula give the same price, what is the formula really assuming?
?Where does a volatility smile come from, and what does it say about the model behind it?

Critical Concepts Explored

no-arbitrage pricingreplication and synthetic positionsput-call paritycost of carry and convenience yieldbinomial trees and risk-neutral probabilitiesBlack-Scholes-Merton frameworkthe Greeks and delta hedgingrisk-neutral and martingale measuresvolatility smile and stochastic volatilityvalue at risk and credit exposure

Editor's Note

“A working path through derivatives pricing, with the arithmetic kept visible.”

Most treatments of this subject either stay qualitative or open with measure theory. This collection takes the middle route: payoffs first, then no-arbitrage relations, then trees, then the continuous-time framework, each with a worked example. Readers arrive at the harder results having already used them on numbers.

Editor's Brief

Who it's for: A self-directed learner who wants to price and hedge real contracts rather than recite definitions.
What stands out: The pricing pipeline from payoff diagram to martingale measure, compressed so each step fits in one sitting and nothing is left as an exercise.
Read if: You can follow a chapter of a textbook but not a nine-hundred-page one, and you want the machinery to work on numbers.

Gold Quotes

A derivative price is not a forecast; it is the cost of reproducing the same cash flows another way.

Once a payoff can be assembled from a bond and the underlying asset, its price is fixed by what those parts cost, not by anyone's view of the market. That is why the framework prices contracts the same way in calm and turbulent markets, and why a quote that violates the relation deserves a second look.

About the Curator

NNano College

Nano College writes university-level courses in short, self-contained pieces designed to be finished — not shelved. Every collection is original: written to cover the ground a full course covers, with the same rigour, in a format that fits the way people actually learn today.

Financial Engineering | LearningFirst