scholarly journals Optimal Geometric Mean Returns of Stocks and Their Options

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Guoyi Zhang
Keyword(s):  
Option Pricing ◽  
Simulation Study ◽  
Stochastic Models ◽  
Geometric Mean ◽  
Pricing Model ◽  
Underlying Asset ◽  
Kelly Criterion ◽  
Option Pricing Model

The optimal geometric mean return is an important property of an asset. As a derivative of the underlying asset, the option also has this property. In this paper, we show that the optimal geometric mean returns of a stock and its option are the same from Kelly criterion. It is proved by using binomial option pricing model and continuous stochastic models with self-financing assumption. A simulation study reveals the same result for the continuous option pricing model.

scholarly journals Good Volatility, Bad Volatility, and Option Pricing

2018 ◽  
Vol 54 (2) ◽  
pp. 695-727 ◽  
Author(s):  
Bruno Feunou ◽  
Cédric Okou
Keyword(s):  
Option Pricing ◽  
Stock Price ◽  
Asset Price ◽  
Jump Diffusion ◽  
Quadratic Variation ◽  
Pricing Model ◽  
Economic Gain ◽  
Underlying Asset ◽  
Model Free ◽  
Option Pricing Model

Advances in variance analysis permit the splitting of the total quadratic variation of a jump-diffusion process into upside and downside components. Recent studies establish that this decomposition enhances volatility predictions and highlight the upside/downside variance spread as a driver of the asymmetry in stock price distributions. To appraise the economic gain of this decomposition, we design a new and flexible option pricing model in which the underlying asset price exhibits distinct upside and downside semivariance dynamics driven by the model-free proxies of the variances. The new model outperforms common benchmarks, especially the alternative that splits the quadratic variation into diffusive and jump components.

An analytical approximation for the GARCH option pricing model

1999 ◽  
Vol 2 (4) ◽  
pp. 75-116 ◽  
Author(s):  
Jin-Chuan Duan ◽  
Geneviève Gauthier ◽  
Jean-Guy Simonato
Keyword(s):  
Option Pricing ◽  
Analytical Approximation ◽  
Pricing Model ◽  
Option Pricing Model

Option Pricing Model Estimates: Some Empirical Results

1982 ◽  
Vol 11 (1) ◽  
pp. 58 ◽  
Author(s):  
N. Bulent Gultekin ◽  
Richard J. Rogalski ◽  
Seha M. Tinic
Keyword(s):  
Option Pricing ◽  
Pricing Model ◽  
Empirical Results ◽  
Option Pricing Model

scholarly journals An Option Pricing Model Using High Frequency Data

2016 ◽  
Vol 91 ◽  
pp. 175-179
Author(s):  
Saebom Jeon ◽  
Won Chang ◽  
Yousung Park
Keyword(s):  
Option Pricing ◽  
High Frequency ◽  
High Frequency Data ◽  
Frequency Data ◽  
Pricing Model ◽  
Option Pricing Model
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