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Book part
Publication date: 25 July 1997

DART BOARDS AND ASSET PRICES

Les Gulko

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Applying Maximum Entropy to Econometric Problems
Type: Book
DOI: https://doi.org/10.1108/S0731-9053(1997)0000012012
ISBN: 978-0-76230-187-4

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Article
Publication date: 13 June 2016

Testing for changes in option-implied risk aversion

Marie-Hélène Gagnon and Gabriel J. Power

The purpose of this paper is to investigate and test for changes in investor risk aversion and the stochastic discount factor (SDF) using options data on the West Texas…

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Abstract

Purpose

The purpose of this paper is to investigate and test for changes in investor risk aversion and the stochastic discount factor (SDF) using options data on the West Texas Intermediate crude oil futures contract during the 2007-2011 period.

Design/methodology/approach

Risk aversion functions and SDFs are estimated using parametric approaches before and after four specific dates of interest. The dates are: the summer 2008 end of the bull market regime; the late 2008 credit freeze trough; the BP Deepwater Horizon explosion; and the Libyan uprising.

Findings

Absolute risk aversion functions and SDFs are significantly flatter (less decreasing in wealth) after the end of the bull market and the credit freeze trough. After these two market reversals, oil market participants were less risk-averse for low levels of wealth but more risk-averse for high wealth levels. Oil market investors also increased their valuation of anticipated future wealth in average states of nature relative to very high or very low-asset return states after reversals. The BP explosion and the Libyan uprising led to steeper risk aversion functions (decreasing more rapidly in wealth) and SDF. Oil market investors were more risk-averse for lower future wealth, but less risk-averse for higher future wealth. Oil market investors increased their valuation of anticipated future wealth in extreme states of nature relative to average states of nature after both dates.

Originality/value

Documenting statistically and economically significant changes in oil market investors’ attitude toward risk and inter-temporal appetite for risk in relation to changes in financial and political conditions.

Details

Review of Behavioral Finance, vol. 8 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/RBF-02-2014-0011
ISSN: 1940-5979

Keywords

  • Loss aversion
  • Options
  • Risk aversion
  • Crude oil
  • Risk-neutral density

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Book part
Publication date: 5 July 2012

Risk-Neutral Densities and Catastrophe Events

Michael Herold and Matthias Muck

In this research, we analyze the impact of catastrophe events on risk-neutral densities which can be implied from European option markets. As catastrophe events we…

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Abstract

In this research, we analyze the impact of catastrophe events on risk-neutral densities which can be implied from European option markets. As catastrophe events we consider the destruction of the nuclear power plant at Fukushima and the downgrading of U.S. sovereign debt in 2011. In an event study, we analyze the impact on European blue chip index options traded at EUREX. We find that after a short adaption period, probability mass of especially risk-neutral density functions derived from long-term options is shifted toward the right side. Thus, very good states of the economy become more expensive indicating higher prices for deep out-of-the-money options. This signifies that there has been speculation on a recovery of the German stock market after the shocks.

Details

Derivative Securities Pricing and Modelling
Type: Book
DOI: https://doi.org/10.1108/S1569-3759(2012)0000094010
ISBN: 978-1-78052-616-4

Keywords

  • Risk-neutral densities
  • derivatives

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Article
Publication date: 1 August 2006

Pricing credit risk through equity options calibration: Part 1 – theory

Marco Fabio Delzio

To propose a new methodology to infer the risk‐neutral default probability curve of a generic firm XYZ from equity options prices.

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Abstract

Purpose

To propose a new methodology to infer the risk‐neutral default probability curve of a generic firm XYZ from equity options prices.

Design/methodology/approach

It is assumed that the market is arbitrage‐free and the “market” probability measure implied in the equity options prices to the pricing of credit risky assets is applied. First, the equity probability density function of XYZ is inferred from a set of quoted equity options with different strikes and maturities. This function is then transformed into the probability density function of the XYZ assets and the term structure of the “option implied” XYZ default probabilities is calculated. These default probabilities can be used to price corporate bonds and, more generally, single‐name credit derivatives as “exotic” equity derivatives.

Findings

Equity derivatives and credit derivatives have ultimately the same (unobservable) underlying, the XYZ assets value. A model that considers any security issued by XYZ as derivatives on the firm's assets can be used to price these securities in a consistent way to each other and/or detect relative/value opportunities.

Originality/value

The paper offers both a pricing tool for traded single‐name credit risky assets or a relative value tool in liquid markets.

Details

The Journal of Risk Finance, vol. 7 no. 4
Type: Research Article
DOI: https://doi.org/10.1108/15265940610688955
ISSN: 1526-5943

Keywords

  • Credit
  • Equity capital
  • Risk analysis
  • Bonds
  • Financial modelling

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Article
Publication date: 28 September 2010

Risk appetite of real estate and property security markets: an empirical study of Hong Kong

Eddie Hui, Hui Wang and Xian Zheng

The purpose of this paper is to investigate the risk appetite in Hong Kong real estate and property security markets in the recent episode of global financial crisis.

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Abstract

Purpose

The purpose of this paper is to investigate the risk appetite in Hong Kong real estate and property security markets in the recent episode of global financial crisis.

Design/methodology/approach

An advanced methodology developed from the previous risk appetite measurement and Markov Chain Monte Carlo simulation is used. Traditional research on risk appetite had never been applied to the real estate market before because no options underlying properties exist. However, this paper makes a contribution that in the absence of options, risk appetite indicators are derived for the real estate and property security markets.

Findings

The empirical results show that the risk appetite for the real estate market started to fall markedly in the third quarter of 2008, matching the very period of the Sub‐prime Mortgage Crisis in the USA. By contrast, those for the property security index were stabilizing in that period. This implies that investors' risk attitude to the real estate market differs from that to the property security market. Furthermore, the correlations between the index prices and the corresponding risk appetite in each market suggest that investors are “risk neutral” in the real estate market, while they are “risk lovers” in the property security market.

Originality/value

This paper, to the authors' best knowledge, is the first study to explore the risk appetite indicator in the real estate market, which could enable us to shed new light on the market price movement from the perspective of investors' market sentiment.

Details

Journal of Property Investment & Finance, vol. 28 no. 6
Type: Research Article
DOI: https://doi.org/10.1108/14635781011080285
ISSN: 1463-578X

Keywords

  • Risk management
  • Real estate
  • Property
  • Securities
  • Hong Kong

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Article
Publication date: 1 August 2006

Pricing credit risk through equity options calibration: Part 2 – model implementation

Marco Fabio Delzio

To implement the model described in the companion paper, “Pricing credit risk through equity options calibration, part 1 – theory,” and show how to calculate the price of…

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Purpose

To implement the model described in the companion paper, “Pricing credit risk through equity options calibration, part 1 – theory,” and show how to calculate the price of a set of coupon bonds issued by a US telecommunications and media company, AOL Time Warner, based on the information retrieved by the AOL equity derivatives market.

Design/methodology/approach

The risk‐neutral density function of AOL Time Warner's stock is inferred from options volatilities; from there, the AOL assets risk neutral density function is calculated together with the default probabilities at different dates in the future. Finally, a set of AOL coupon bonds are priced accordingly and compared to market prices.

Findings

The AOL model‐theoretical prices are close to market prices, meaning that it is possible to perform relative‐value analysis in the risky bonds market based on the equity markets information.

Originality/value

The paper shows how easily the model can be used as a tool for performing relative‐value analysis between the equity options and the credit markets by using real market data.

Details

The Journal of Risk Finance, vol. 7 no. 4
Type: Research Article
DOI: https://doi.org/10.1108/15265940610692626
ISSN: 1526-5943

Keywords

  • Credit
  • Equity capital
  • Risk analysis
  • Calibration
  • Bonds
  • Financial modelling

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Article
Publication date: 31 August 2011

Do the Option Prices Forecast Spot Price? Evidence from the KOSPI 200 Index Option Market

Byungwook Choi

This study investigates a forecasting power of volatility curvatures and risk neutral densities implicit in KOSPI 200 option prices by analyzing minute by minute…

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Abstract

This study investigates a forecasting power of volatility curvatures and risk neutral densities implicit in KOSPI 200 option prices by analyzing minute by minute historical index option intraday trading data from January of 2007 to January of 2011. We begin by estimating implied volatility functions and risk neutral price densities based on non-parametric method every minute and by calculating volatility curvature and skewness premium. We then compare the daily rate of return of the signal following trading strategy that we buy (sell) a stock index when the volatility curvature or skewness premium increases (decreases) with that of an intraday buy-and-hold strategy that we buy a stock index on 9:05AM and sell it on 2:50PM. We found that the rate of return of the signal following trading strategy was significantly higher than that of the intraday buy-and-hold strategy, which implies that the option prices have a strong forecasting power on the direction of stock market. Another finding is that the information contents of option prices disappear after three or four minutes.

Details

Journal of Derivatives and Quantitative Studies, vol. 19 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/JDQS-03-2011-B0002
ISSN: 2713-6647

Keywords

  • Risk Neutral Probability Density
  • Volatility Smile
  • Skewness Premium
  • KOSPI 200 Option
  • Signal Following Trading Strategy
  • Efficient Market Hypothesis

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Book part
Publication date: 25 July 1997

MAXIMUM ENTROPY AND DERIVATIVE SECURITIES

Raymond J. Hawkins

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Applying Maximum Entropy to Econometric Problems
Type: Book
DOI: https://doi.org/10.1108/S0731-9053(1997)0000012013
ISBN: 978-0-76230-187-4

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Article
Publication date: 4 July 2019

The impact of monetary policy on option-implied stock market expectations

Xiaoyu Wang, Jia Zhai, Dejun Xie and Jingjing Jiang

The purpose of this paper is to investigate the impact of Federal Open Market Committee (FOMC) meetings and the changes of the target rates on stock market uncertainty.

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Abstract

Purpose

The purpose of this paper is to investigate the impact of Federal Open Market Committee (FOMC) meetings and the changes of the target rates on stock market uncertainty.

Design/methodology/approach

Multivariate regression analysis is applied to the historical data of VIX, FOMC meetings and target rates. Subtle relations are revealed by further categorizing the FOMC meetings into being scheduled and unscheduled and distinguishing the signs of the changes in VIX and target rates. CPI and the prime rate are used for robustness test.

Findings

The authors first examine the relation between FOMC meetings and target surprises; the results indicate that unscheduled FOMC meetings heavily impact the target surprises. Then, the authors investigate the relation between FOMC meetings and VIX changes; the results show that both unscheduled and scheduled FOMC meetings impact VIX, where the impacts of scheduled FOMC meetings are more substantial. The authors also analyze the responses of VIX to the target surprises, and the results reveal that there is an asymmetric effect of target surprises on VIX, where the influences of the scheduled positive target surprises are more significant. Finally, by examining the relation between the FOMC meeting and the risk-neutral density of the VIX option, the authors conclude that both KURT and SKEW are more affected by unscheduled FOMC meetings.

Originality/value

Deeper dimensions of the relations between VIX, FOMC meetings and target rates are analyzed and more insightful understandings of such relations are gained.

Details

China Finance Review International, vol. 10 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/CFRI-07-2018-0068
ISSN: 2044-1398

Keywords

  • Monetary policy
  • Implied volatility
  • FOMC
  • Risk-neutral density
  • Target rates
  • G10
  • G15

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Article
Publication date: 8 June 2015

Exploring optimism and pessimism in the Indian equity market

Jaya Mamta Prosad, Sujata Kapoor and Jhumur Sengupta

– The purpose of this paper is to capture the presence and impact of optimism in the Indian equity market.

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Purpose

The purpose of this paper is to capture the presence and impact of optimism in the Indian equity market.

Design/methodology/approach

The data set comprises the daily values of the Nifty 50 index, index options and Treasury-bill index for a period of five years (2006-2011). The focus of this paper is two pronged. It first investigates the presence of optimism (pessimism) using the pricing kernel technique suggested by Barone-Adesi et al. (2012). Second, it tries to analyze the relationship of this bias with stock market indicators like risk premium, market return and volatility using time series regression.

Findings

The findings indicate that the Indian equity market has been predominantly pessimistic from the period 2006 to 2011. The interaction of this bias with market indicators also unveils some interesting insights. The study shows that high past volatility can lead to pessimism in the Indian equity market and vice versa. It further explores that when the investors are rational, their risk and return relationship is positive while it tends to be negative when they are irrational. The impact of investors’ irrationalities on asset valuation has also been accounted by Brown and Cliff (2005).

Research limitations/implications

The findings of the paper have significant implications for fund managers and asset management companies. It is recommended that they should try to identify behavioral biases in their clients before designing their portfolios.

Originality/value

This study is one of the very few attempts to capture the presence and impact optimism (pessimism) in the Indian equity market.

Details

Review of Behavioral Finance, vol. 7 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/RBF-07-2013-0026
ISSN: 1940-5979

Keywords

  • Volatility
  • Risk premium
  • Market return
  • Optimism (pessimism)
  • Pricing kernel technique

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