Implied volatility measures
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School of Business |
Bachelor's thesis
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Authors
Date
2018
Department
Major/Subject
Mcode
Degree programme
Taloustiede
Language
en
Pages
25+3
Series
Abstract
In this thesis the construction of implied volatility measures is considered. Two popular option pricing models, namely Black-Scholes model and Cox-Ross-Rubinstein binomial model, are derived, solved and their inversion is considered to obtain implied volatility estimates. In addition, current market volatility indexes used by practitioners are discussed and Chicago Board Options Exchange's (CBOE) VIX index is derived in detail. Implied volatility measures rely heavily on the underlying assumptions of the option pricing models. In this thesis we assume the underlying asset to follow the geometric Brownian motion. The geometric Brownian motion is derived and the implications of the motion are discussed. Also, other assumptions in the pricing models are discussed. Due to some unrealistic assumptions in the pricing models, implied volatility measures have limitations and problems. These problems are introduced and the ways to alleviate these problems are discussed.Description
Thesis advisor
Murto, PauliMustonen, Mikko
Keywords
implied volatility, CBOE VIX index, Black-Scholes model, Cox-Ross-Rubinstein binomial model