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Trading the Volatility Skew

A Practical Guide

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LLMQuant
Oct 15, 2025
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In turbulent markets, skilled options traders often manage to stay consistently profitable, not by betting on direction, but by trading volatility itself.
One of the most powerful ways to do this is through the volatility skew.

In this article, we’ll walk through how to visualize and analyze volatility skew in Python, understand why it exists, and see how professional traders use it to find mispriced opportunities.


What Is Volatility Skew?

Volatility skew, also known as implied volatility skew, describes how implied volatility (IV) varies across different strike prices for the same expiration date.
In an ideal, perfectly efficient market, options of the same maturity but different strike prices would have the same implied volatility.
But in reality, they don’t, and that difference holds valuable information.

Skew reflects market sentiment and hedging behavior.
For instance, when investors are worried about downside risk, deep out-of-the-money (OTM) puts tend to become more expensive.
This makes their implied volatility higher than that of at-the-money (ATM) or out-of-the-money calls creating a characteristic downward-sloping curve known as the left-tail volatility smirk.

By analyzing this skew curve, traders can uncover pricing anomalies, better manage risk, and identify opportunities for volatility arbitrage.


Building the Volatility Skew Curve in Python

Let’s walk through a hands-on example using Palantir Technologies (PLTR) options.

We’ll use yfinance to download the option chain and matplotlib to visualize the skew.

import numpy as np
import pandas as pd
import yfinance as yf
from matplotlib import pyplot as plt

Step 1: Fetch the Option Chain

ticker = “PLTR”
stock = yf.Ticker(ticker)
options_chain = stock.option_chain(”2025-07-18”)

calls = options_chain.calls
puts = options_chain.puts

The option_chain method gives us the call and put data for the specified expiration date.

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