Frequently Asked Questions In Quantitative Finance

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Chapter 2: FAQs 157

What is the Volatility Smile?


Short Answer
Volatility smile is the phrase used to describe how the
implied volatilities of options vary with their strikes. A
smilemeans that out-of-the-money puts and out-of-the-
money calls both have higher implied volatilities than
at-the-money options. Other shapes are possible as well.
A slope in the curve is called askew. So a negative skew
would be a download sloping graph of implied volatility
versus strike.

Example

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

1010 1020 1030 1040 1050 1060 1070 1080 1090 1100
Strike

Implied volatility

Figure 2-9:The volatility ‘smile’ for one-month SP500 options,
February 2004.
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