What is the significance of volatility skew in pricing exotic options?

By PriyaSahu

Volatility skew is very important while pricing exotic options because it helps traders understand how much risk the market sees at different option strike prices. Exotic options are more complex than normal options, so using the correct volatility at each strike price helps in setting the right value. This ensures the option is not over or under-priced, which could lead to big losses or missed profits.



What is Volatility Skew?

Volatility skew means that the implied volatility of options is not the same for all strike prices. In simple terms, options that are far away from the current price of the stock (either much higher or much lower) often have higher or lower volatility than those near the current price. This happens because traders and investors have different expectations about future movements in the stock price.

For example, if many people are worried that a stock might fall, they may buy a lot of put options. This demand increases the implied volatility for lower strike puts. So, the skew becomes visible as a curve showing how volatility changes at each strike price. This is known as the volatility smile or skew.



Why is Volatility Skew Important for Exotic Options?

Exotic options are not like regular options. They can have conditions like activating only when the stock price hits a certain level or having payouts based on average prices. Because of these features, exotic options depend more on how the stock moves, not just where it ends up.

Volatility skew tells us which strike prices the market sees as more risky. When pricing an exotic option, using a flat volatility number (same for all strikes) can give wrong results. By including the skew, traders can use the correct volatility at each level. This gives more accurate pricing, which helps in better profits and reduced risk.



How Does It Affect Barrier Options?

Barrier options are exotic options that get activated or cancelled when the stock price touches a certain level. For example, a knock-out call option will become worthless if the price touches a barrier. In such options, it’s very important to know how likely the price is to reach that level.

Volatility skew helps here by showing how the market feels about price movement in that area. If the skew shows high volatility near the barrier level, it means the price is expected to move a lot—so there's a higher chance of the barrier being hit. This affects how much the option should cost. So, traders always use volatility skew data when pricing barrier options.



What Causes Volatility Skew in the Market?

Volatility skew is caused by investor demand, fear of loss, and market events. For example, during uncertain times like elections, company results, or global news, people buy more options for protection. This creates more demand for puts or calls, depending on the direction they fear.

Because of this demand, the prices of certain options go up, and their implied volatility increases. This difference across strike prices shows up as a skew. It’s also influenced by how much traders are ready to pay to protect their portfolio from sudden moves.



Can You Use Skew to Spot Mispriced Exotic Options?

Yes, you can. Many times, exotic options are priced using simple models that don’t consider the skew properly. This can lead to options being wrongly priced—either too cheap or too expensive. Smart traders use market skew data to spot these mistakes.


For example, if a barrier option is priced without checking that the volatility is high near the barrier level, the option might be priced too low. Buying such an underpriced option can give good returns. So, using skew helps traders find better opportunities in exotic options.



How to Use Volatility Skew in Pricing Models?

When pricing exotic options, traders use models that include the volatility skew. These models take the volatility for each strike price from the market and apply it to the option’s structure. This way, the final price becomes more accurate and realistic.

If you use simple models that assume the same volatility for all strikes, you might get the wrong price. So, many professionals now use tools that take real market data, including skew, to get correct values for complex options. This is especially useful when working with path-dependent options like Asian or Barrier options.



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