Etd

Modeling Volatility Derivatives

Public

Downloadable Content

open in viewer

The VIX was introduced in 1993 by the CBOE and has been commonly referred to as the fear gauge due to decreases in market sentiment leading market participants to purchase protection from declining asset prices. As market sentiment improves, declines in the VIX are generally observed. In reality the VIX measures the markets expectations about future volatility with asset prices either rising or falling in value. With the VIX gaining popularity in the marketplace a proliferation of derivative products has emerged allowing investors to trade volatility. In observance of the behavior of the VIX we attempt to model the derivative VXX as a mean reverting process via the Ornstein-Uhlenbeck stochastic differential equation. We extend this analysis by calibrating VIX options with observed market prices in order to extract the market density function. Using these parameters as the diffusion process in our Ornstein-Uhlenbeck model we derive futures prices on the VIX which serves to value our target derivative VXX.

Creator
Contributors
Degree
Unit
Publisher
Language
  • English
Identifier
  • etd-121611-122959
Keyword
Advisor
Defense date
Year
  • 2011
Date created
  • 2011-12-16
Resource type
Rights statement
Last modified
  • 2021-01-28

Relations

In Collection:

Items

Items

Permanent link to this page: https://digital.wpi.edu/show/dr26xx626