# Black-Scholes Framework ⎊ Area ⎊ Resource 3

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## What is the Model of Black-Scholes Framework?

The Black-Scholes framework is a foundational mathematical model used to determine the theoretical fair value of European-style options. It calculates the option price based on five key inputs: the underlying asset's price, the strike price, time to expiration, risk-free interest rate, and volatility. While originally developed for traditional finance, its principles are adapted for cryptocurrency derivatives, despite the unique market characteristics.

## What is the Pricing of Black-Scholes Framework?

Option pricing within this framework relies on the concept of risk-neutral valuation and continuous-time trading. The model assumes that a perfectly hedged portfolio can be constructed to eliminate risk, allowing for a deterministic price calculation. In practice, the model's output serves as a benchmark for market participants, guiding the valuation of call and put options in both traditional and crypto markets.

## What is the Assumption of Black-Scholes Framework?

The framework operates on several key assumptions that are often challenged in the cryptocurrency space. These include constant volatility, continuous trading, and a log-normal distribution of asset returns. The high volatility and discontinuous nature of crypto markets necessitate modifications to the standard Black-Scholes model, such as incorporating empirical adjustments for fat tails and volatility skew.


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## [Gas Cost Reduction Strategies for DeFi Applications](https://term.greeks.live/term/gas-cost-reduction-strategies-for-defi-applications/)

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**Original URL:** https://term.greeks.live/area/black-scholes-framework/resource/3/