### What is Implied by Implied Volatility?

Word and concept Implied volatility is not just a word or a concept. As a word, what is implied by implied volatility – what “implied volatility” means – is the value of the Brownian diffusion […]

Word and concept Implied volatility is not just a word or a concept. As a word, what is implied by implied volatility – what “implied volatility” means – is the value of the Brownian diffusion […]

The purpose of this article is to introduce the properties of variance swaps, and give insights into the hedging and valuation of these instruments from the particular lens of an option trader. Section 1 gives […]

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The formalism of Black–Scholes–Merton knows of no such thing as the past or the future. When it models the stochastic process of the underlying asset price as Brownian motion and symbolizes its volatility by σ, […]

In the following, I will say what the smile problem is, and I am not sure everyone will follow me. This is how deeply and how long I’ve been thinking about the smile problem. I’ve […]

How do I love thee? Let me count the ways. I love thee to the depth and breadth and height My soul can reach, when feeling out of sight. . . I love […]

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