# Non-Normal Distributions ⎊ Area ⎊ Resource 2

---

## What is the Skew of Non-Normal Distributions?

The asymmetry observed in asset return distributions, where one tail is heavier than the other, is a defining characteristic deviating from the symmetric normal curve. Negative skew, common in equity-like assets, implies a higher probability of large negative returns than large positive ones. This asymmetry directly impacts the relative pricing of puts versus calls.

## What is the Kurtosis of Non-Normal Distributions?

This measure quantifies the "tailedness" of the distribution, indicating the frequency of extreme deviations relative to a Gaussian benchmark. High positive kurtosis, or leptokurtosis, signifies a greater likelihood of observing price movements that fall into the fat tails. Such characteristics necessitate the use of models that explicitly account for this excess probability mass.

## What is the Assumption of Non-Normal Distributions?

Reliance on the normal distribution for option pricing, as in the Black-Scholes framework, becomes analytically flawed when applied to crypto derivatives exhibiting these properties. Practitioners must employ stochastic volatility or jump-diffusion models to better capture the observed empirical behavior. Violating this core assumption leads to systematic mispricing of risk.


---

## [Markowitz Portfolio Theory](https://term.greeks.live/term/markowitz-portfolio-theory/)

## [Crypto Options Compendium](https://term.greeks.live/term/crypto-options-compendium/)

## [AI-Driven Stress Testing](https://term.greeks.live/term/ai-driven-stress-testing/)

## [Risk Model Calibration](https://term.greeks.live/term/risk-model-calibration/)

## [Market Psychology Feedback Loops](https://term.greeks.live/term/market-psychology-feedback-loops/)

## [Non Gaussian Distributions](https://term.greeks.live/term/non-gaussian-distributions/)

## [Portfolio Risk Analysis](https://term.greeks.live/term/portfolio-risk-analysis/)

## [Risk Adjustment](https://term.greeks.live/term/risk-adjustment/)

## [Non-Normal Returns](https://term.greeks.live/term/non-normal-returns/)

## [Non-Normal Return Distributions](https://term.greeks.live/term/non-normal-return-distributions/)

---

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---

**Original URL:** https://term.greeks.live/area/non-normal-distributions/resource/2/