Analysis Techniques & Strategies

User Def Linear Skew (Volatility Model)

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Input Information

Name Type Default Description
LeftSideLimit Numeric 60 Maximum below the money volatility.
RightSideLimit Numeric 60 Maximum above the money volatility.
PcntITM Numeric -10 Below the money volatility this percent below the money.
VoltyITM Numeric 51 User defined volatility below the money.
VoltyATM Numeric 25 User defined volatility at the money.
PcntOTM Numeric 10 Above the money volatility this percent above the money.
VoltyOTM Numeric 35 User defined volatility above the money.

Description

The User Defined Linear Skew Volatility Model allows the user to specify a variable volatility input into the Pricing Model where the volatility changes according to how far above the money (in-the-money) or below the money (out-of-the-money) a particular option is. The volatility is specified by selecting points on a line where the x coordinate is the percentage above or below the money of an option and the y coordinate is volatility.

For example the user may input 20 for the at-the-money volatility (0, 20); for above the money volatility, he may specify 25 when above the money by 10 percent (10, 25); for below the money volatility, he may specify 15 when below the money by 20 percent (-20, 15).

These coordinates are then mapped and a line is drawn between them. Additionally, since the lines drawn will extend indefinitely to the left and right, upper-boundary limits are defined as well. In the previous example, our linear skew sloped upward towards positive infinity. The right hand limit applies a maximum value. If the slope towards negative infinity were positive, the left side limit would contain that value as well. For negative slopes, a limit of zero is
assumed.