A Practical Guide to Forecasting Financial Market Volatility pdf

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A Practical Guide to Forecasting Financial Market Volatility pdf

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[...]... crucial for option pricing, risk management and portfolio management Nowadays, volatility has become the subject of trading There are now exchange-traded contracts written on volatility Financial market volatility also has a wider impact on financial regulation, monetary policy and macroeconomy This book is about financial market volatility forecasting The aim is to put in one place models, tools and... of a normal random variable simulated using the mean and standard deviation of the financial asset returns) 4 Forecasting Financial Market Volatility distributed random variable, and the respective daily returns on the US Standard and Poor market index (S&P100),1 the yen–sterling exchange rate, the share of Legal & General (a major insurance company in the UK), the UK Index for Small Capitalisation Stocks... correlation among volatility is stronger than that among returns and both tend to increase during bear markets and financial crises The art of volatility modelling is to exploit the time series properties and stylized facts of financial market volatility Some financial time series have their unique characteristics The Korean stock market, for Volatility Definition and Estimation 0.9 9 (a) Autocorrelation... available, volatility can simply be calculated using Equation (1.1) Many macroeconomic series are available only at the monthly interval, so the current practice is to use absolute monthly value to proxy for macro volatility The same applies to financial time series when a daily volatility estimate is required and only daily data is available The use of absolute value to proxy for volatility is the equivalent... vary from 1 to 10 days (for risk management), months (for option pricing) and years (for investment analysis) Recently, intraday transaction data has become more widely available providing a channel for more accurate volatility estimation and forecast This is the area where much research effort has been concentrated in the last two years When monthly volatility is required and daily data is available,... is why volatility is sometimes equated with risk Volatility is itself a stock variable, having to be measured over a period of time, rather than a flow variable, measurable at any instant of time Similarly, a stock price is a flow variable but a return is a stock variable Observed volatility has to be observed over stated periods of time, such as hourly, daily, or weekly, say Having observed a time series... square of standard deviation, it makes no difference whichever measure we use when we compare the volatility of two assets However, variance is much less stable and less desirable than standard deviation as an object for computer estimation and volatility forecast evaluation Moreover standard deviation has the same unit of measure as the mean, i.e if the mean is in dollar, then standard deviation is also... nonnegative volatility, κt + µ−2 BVt > 0 will be sufficient 1 Characteristics of financial market data suggest that returns measured at an interval shorter than 5 minutes are plagued by spurious serial correlation caused by various market microstructure effects including nonsynchronous trading, discrete price observations, intraday periodic 16 Forecasting Financial Market Volatility volatility patterns and... complicates any attempt to generalize volatility patterns and forecasting results 1.4 THE TREATMENT OF LARGE NUMBERS In this section, I use large numbers to refer generally to extreme values, outliers and rare jumps, a group of data that have similar characteristics but do not necessarily belong to the same set To a statistician, there are always two ‘extremes’ in each sample, namely the minimum and the... preferred to a smaller one An unusually large positive return, which is a desirable outcome, could lead to a reduction in the Sharpe ratio because it will have a greater impact on the standard deviation, σ , in the denominator than the average return, µ, in the numerator More importantly, the reason that volatility is not a good or perfect measure for risk is because volatility (or standard deviation) . books. Library of Congress Cataloging-in-Publication Data Poon, Ser-Huang. A practical guide for forecasting financial market volatility / Ser Huang Poon. p sometimes equated with risk. Volatility is itself a stock variable, having to be measured over a period of time, rather than a flow variable, measurable at any instant

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  • A Practical Guide to Forecasting Financial Market Volatility

    • Contents

    • Foreword by Clive Granger

    • Preface

    • 1 Volatility Definition and Estimation

      • 1.1 What is volatility?

      • 1.2 Financial market stylized facts

      • 1.3 Volatility estimation

        • 1.3.1 Using squared return as a proxy for daily volatility

        • 1.3.2 Using the high–low measure to proxy volatility

        • 1.3.3 Realized volatility, quadratic variation and jumps

        • 1.3.4 Scaling and actual volatility

        • 1.4 The treatment of large numbers

        • 2 Volatility Forecast Evaluation

          • 2.1 The form of X(t)

          • 2.2 Error statistics and the form of ε(t)

          • 2.3 Comparing forecast errors of different models

            • 2.3.1 Diebold and Mariano's asymptotic test

            • 2.3.2 Diebold and Mariano's sign test

            • 2.3.3 Diebold and Mariano's Wilcoxon sign-rank test

            • 2.3.4 Serially correlated loss differentials

            • 2.4 Regression-based forecast efficiency and orthogonality test

            • 2.5 Other issues in forecast evaluation

            • 3 Historical Volatility Models

              • 3.1 Modelling issues

              • 3.2 Types of historical volatility models

                • 3.2.1 Single-state historical volatility models

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