Wavelet multiscale analysis for hedge funds: scaling and strategies

The wide acceptance of Hedge Funds by Institutional Investors and Pension Funds has led to an explosive growth in assets under management. These investors are drawn to Hedge Funds due to the seemingly low correlation with traditional investments and the attractive returns. The correlations and market risk (the Beta in the Capital Asset Pricing Model) of Hedge Funds are generally calculated using monthly returns data, which may produce misleading results as Hedge Funds often hold illiquid exchange-traded securities or difficult to price over-the- counter securities. In this paper, the Maximum Overlap Discrete Wavelet Transform (MODWT) is applied to measure the scaling properties of Hedge Fund correlation and market risk with respect to the S&P 500. It is found that the level of correlation and market risk varies greatly according to the strategy studied and the time scale examined. Finally, the effects of scaling properties on the risk profile of a portfolio made up of Hedge Funds is studied using correlation matrices calculated over different time horizons

Hierarchical Information and the Rate of Information Diffusion

The rate of information diffusion and consequently price discovery, is conditional upon not only the design of the market microstructure, but also the informational structure. This paper presents a market microstructure model showing that an increasing number of information hierarchies among informed competitive traders leads to a slower information diffusion rate and informational inefficiency. The model illustrates that informed traders may prefer trading with each other rather than with noise traders in the presence of the information hierarchies. Furthermore, we show that momentum can be generated from the predictable patterns of noise traders, which are assumed to be a function of past pricesInformation hierarchies, Information diffusion rate, Momentum

Errors-in-Variables Estimation with No Instruments

This paper develops a wavelet (spectral) approach to estimate the parameters of a linear regression model where the regressand and the regressors are persistent processes and contain a measurement error. We propose a wavelet filtering approach which does not require instruments and yields unbiased and consistent estimates for the intercept and the slope parameters. Our Monte Carlo results also show that the wavelet approach is particularly effective when measurement errors for the regressand and the regressor are serially correlated. With this paper, we hope to bring a fresh perspective and stimulate further theoretical research in this areaCointegration, discrete wavelet transformation, maximum overlap wavelet transformation, energy decomposition, errors-in-variables, persistence

Liquidity-Induced Dynamics in Futures Markets

Futures contracts on the New York Mercantile Exchange are the most liquid instruments for trading crude oil, which is the world’s most actively traded physical commodity. Under normal market conditions, traders can easily find counterparties for their trades, resulting in an efficient market with virtually no return predictability. Yet even this extremely liquid instrument suffers from liquidity shocks that induce periods of increased volatility and significant return predictability. This paper identifies an important and recurring cause of these shocks: the accumulation of extreme and opposing positions by the two main trader classes in the market, namely hedgers and speculators. As positions become extreme, approaching their historical limits, counterparties for trades become scarce and prices must adjust to induce trade. These liquidity-induced price adjustments are found to be driven by systematic speculative behavior and are determined to be significant.Liquidity, Futures Markets, Return Predictability, Volatility, Trader Positions, Directional Realized Volatility, Hedgers, Speculators, Position Bounds

Crash of ’87 - Was it Expected? Aggregate Market Fears and Long Range Dependence

We develop a dynamic framework to identify aggregate market fears ahead of a major market crash through the skewness premium of European options. Our methodology is based on measuring the distribution of a skewness premium through a q-Gaussian density and a maximum entropy principle. Our findings indicate that the October 19th, 1987 crash was predictable from the study of the skewness premium of deepest out-of-the-money options about two months prior to the crashNon-additive Entropy, Shannon Entropy, Tsallis Entropy, q-Gaussian Distribution, Skewness Premium

Trading Frequency and Volatility Clustering

Volatility clustering, with autocorrelations of the hyperbolic decay rate, is unquestionably one of the most important stylized facts of financial time series. This paper presents a market microstructure model, that is able to generate volatility clustering with hyperbolic autocorrelations through traders with multiple trading frequencies using Bayesian information updating in an incomplete market. The model illustrates that signal extraction, which is induced by multiple trading frequency, can increase the persistence of the volatility of returns. Furthermore, we show that the local temporal memory of the underlying time series of returns and their volatility varies greatly varies with the number of traders in the marketTrading frequency, Volatility clustering, Signal extraction, Hyperbolic decay

An Empirical Analysis of Dynamic Multiscale Hedging using Wavelet Decomposition

This paper investigates the hedging effectiveness of a dynamic moving window OLS hedging model, formed using wavelet decomposed time-series. The wavelet transform is applied to calculate the appropriate dynamic minimum-variance hedge ratio for various hedging horizons for a number of assets. The effectiveness of the dynamic multiscale hedging strategy is then tested, both in- and out-of-sample, using standard variance reduction and expanded to include a downside risk metric, the time horizon dependent Value-at-Risk. Measured using variance reduction, the effectiveness converges to one at longer scales, while a measure of VaR reduction indicates a portion of residual risk remains at all scales. Analysis of the hedge portfolio distributions indicate that this unhedged tail risk is related to excess portfolio kurtosis found at all scales.Comment: To Appear: Journal of Futures Market

Niyazi Berkes'in bıraktığı miras, değerli bir hazine:Çağdaşlığın neresindeyiz?

Taha Toros Arşivi, Dosya No: 172-Niyazi-Mediha Berkesİstanbul Kalkınma Ajansı (TR10/14/YEN/0033) İstanbul Development Agency (TR10/14/YEN/0033

Information flow between volatilities across time scales

Conventional time series analysis, focusing exclusively on a time series at a given scale, lacks the ability to explain the nature of the data generating process. A process equation that successfully explains daily price changes, for example, is unable to characterize the nature of hourly price changes. On the other hand, statistical properties of monthly price changes are often not fully covered by a model based on daily price changes. In this paper, we simultaneously model regimes of volatilities at multiple time scales through wavelet-domain hidden Markov models. We establish an important stylized property of volatility across different time scales. We call this property asymmetric vertical dependence. It is asymmetric in the sense that a low volatility state (regime) at a long time horizon is most likely followed by low volatility states at shorter time horizons. On the other hand, a high volatility state at long time horizons does not necessarily imply a high volatility state at shorter time horizons. Our analysis provides evidence that volatility is a mixture of high and low volatility regimes, resulting in a distribution that is non-Gaussian. This result has important implications regarding the scaling behavior of volatility, and consequently, the calculation of risk at different time scales.Discrete wavelet transform, wavelet-domain hidden Markov trees, foreign exchange markets; stock markets; multiresolution analysis; scaling

Profitability in an Electronic Foreign Exchange Market: Informed Trading or Differences in Valuation?

Fundamental spot exchange rate models preclude the existence of asymmetric information in foreign exchange markets. This article critically investigates the possibility that private information arises in the spot foreign exchange market. Using a rich dataset, we first empirically detect transaction behavior consistent with the informed trading hypothesis. We then work within the theoretical framework of a high-frequency version of a structural microstructure trade model, which directly measures the market maker’s beliefs. We find that the time-varying pattern of the probability of informed trading is rooted in the strategic arrival of informed traders on a particular hour-of-day, day-of-week, or geographic location (market)Foreign Exchange Markets; Volume; Informed Trading; Noise Trading