Explain the relationship between implied volatility and option pricing, and discuss the limitations of using implied volatility as a measure of market risk.

Implied volatility is a crucial factor in option pricing. It represents the market's expectation of future price volatility for the underlying asset. Essentially, it's the volatility that, when plugged into an option pricing model like the Black-Scholes model, produces the observed market price of the option. Here's how it works: 1. Option Pricing Models: Option pricing models, such as Black-Scholes, require inputs like the underlying asset's price, strike price, time to maturity, risk-free rate, and volatility. 2. Implied Volatility: The market price of an option is readily available. By feeding the other known inputs into the model and adjusting the volatility until the model's output matches the market price, we arrive at the implied volatility. 3. Relationship: Higher....