<p>Implied <a href="/NewSite/encyclopedia/volatility/" class="ency-link">Volatility</a> (IV) is a key concept in options trading, representing the market's expectation of future price volatility of the underlying asset. It's derived from the price of options and is a crucial input for pricing and risk management in options strategies.</p>

<h2>How It Works</h2>
<p>Implied Volatility is calculated using the Black-Scholes-Merton model, which is a mathematical formula used to price European-style options. The model takes into account factors such as the current price of the underlying asset, the exercise price, the time to expiration, the risk-free interest rate, and the dividend yield. The IV is then implied by solving the model for the volatility input that results in the model's price matching the actual market price of the option.</p>
<p>IV is typically expressed as an annualized percentage and can vary significantly between different options on the same underlying asset. It's often represented by the Greek letter 'sigma' (σ).</p>

<h2>Why It Matters</h2>
<p>Implied Volatility is a critical metric for options traders as it helps in understanding the market's perception of risk. A high IV indicates that the market expects the price of the underlying asset to be volatile, while a low IV suggests that the market expects the price to be relatively stable.</p>
<p>IV also plays a significant role in options pricing and strategy selection. For example, when IV is high, out-of-the-money options are relatively expensive, and traders might prefer to buy protective puts or sell covered calls. Conversely, when IV is low, traders might consider selling options or buying deep in-the-money options.</p>
<p>Moreover, IV can be used to identify mispriced options. If the IV of an option is significantly different from the historical volatility of the underlying asset, it could indicate that the option is overpriced or underpriced, presenting an opportunity for traders.</p>