[PDF] Option Implied Risk Neutral Distributions And Risk Aversion eBook

Author : Robert R. Bliss
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Page : 40 pages
File Size : 24,43 MB
Release : 2005
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Cross-sections of option prices embed the risk-neutral probability densities functions (PDFs) for the future values of the underlying asset. Theory suggests that risk-neutral PDFs differ from market expectations due to risk premia. Using a utility function to adjust the risk-neutral PDF to produce subjective PDFs, we can obtain measures of the risk aversion implied in option prices. Using FTSE 100 and Samp;P 500 options, and both power and exponential utility functions, we show that subjective PDFs accurately forecast the distribution of realizations, while risk-neutral PDFs do not. The estimated coefficients of relative risk aversion are all reasonable. The relative risk aversion estimates are remarkably consistent across utility functions and across markets for given horizons. The degree of relative risk aversion declines with the forecast horizon and is lower during periods of high market volatility.

Author : Jens Carsten Jackwerth
Publisher :
Page : 17 pages
File Size : 28,12 MB
Release : 2008
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In this partial and selective literature review of option implied risk-neutral distributions and of implied binomial trees, we start by observing that in efficient markets, there is information contained in option prices, which might help us to design option pricing models. To this end, we review the numerous methods of recovering risk-neutral probability distributions from option prices at one particular time-to-expiration and their applications. Next, we extend our attention beyond one time-to-expiration to the construction of implied binomial trees, which model the stochastic process of the underlying asset. Finally, we describe extensions of implied binomial trees, which incorporate stochastic volatility, as well as other non-parametric methods.

Author : Felix Brinkmann
Publisher :
Page : 35 pages
File Size : 33,37 MB
Release : 2016
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Option-implied moments, like implied volatility, contain useful information about an underlying asset's return distribution but are derived under the risk-neutral probability measure. This paper provides a direct way of converting risk-neutral moments into the corresponding physical moments, which are required for many applications. The main result is a representation of physical moments in terms of observed option prices and a representative investor's preferences. As an empirical application of this result, we provide implied estimates of the representative stock market investor's disappointment aversion using S&P 500 index option prices. We find that disappointment aversion has a procyclical pattern. It is high in times of high index levels and declines when the index falls. We confirm the view that investors with high risk aversion and disappointment aversion leave the stock market during times of turbulence and reenter it after a period of high returns.

Author : Allan M. Malz
Publisher :
Page : 42 pages
File Size : 49,49 MB
Release : 2014
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This paper describes a method for computing risk-neutral density functions based on the option-implied volatility smile. Its aim is to reduce complexity and provide cookbook-style guidance through the estimation process. The technique is robust and avoids violations of option no-arbitrage restrictions that can lead to negative probabilities and other implausible results. I give examples for equities, foreign exchange, and long-term interest rates.

Author : Jessica List
Publisher :
Page : pages
File Size : 18,69 MB
Release : 2008
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This thesis empirically analyses implied risk neutral probability distributions of SMI index options. The contribution of this thesis is its data base (SMI index options), the long observation period (1999 - 2008) and its attempt to use the framework of option implied risk neutral probability distributions in the context of trading strategies. The influence of important market variables (such as the risk premium and the term structure of Swiss interest rates) on the estimated RNDs summary statistics is analysed in a regression framework accounting for heteroscedasticity and autocorrelation of the variables under consideration. It turns out that most of the analysed domestic market variables do not have a significant influence on the calculated implied RND's summary statistics and no significant international spillovers are observable. In addition, option implied moments, in particular the volatility of the implied RND, seem to be poor predictors for future moments of the SMI return distribution. Trading strategies based on option implied information are implemented. After accounting for transaction costs, some of these strategies are not only able to outperform a direct investment in the underlying, but systematically outperformed comparable trading strategies based on spot prices.