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### EARL Boston 2015 ideas
rationale
{\scriptsize{"The premier market anomaly is momentum. Stocks with low returns over the past year tend to have low returns for the next few months, and stocks with high past returns tend to have high future returns."}}\\
the question then is:
can momentum also work on shorter time scales?
do higher moments (skew, kurtosis) also have predictive power?
but higher moments are hard to estimate from low frequency (daily) returns.
higher moments decay with time (term)
many packages aren't optimized for speed
how to use high frequency data to estimate higher moments
estimating moments
Rogers-Satchell estimator eliminates ON volatility spikes
show daily seasonality of volatility and volume - borrow from FRE7241_homeworks_tests.R
correlation between volatility and volume, lead and lag
plots for 2010 flash crash
volatility estimation bias variance tradeoff
perform running strategy
describe skew strategy - borrow from FRE7241_homeworks_tests.R
describe vwap strategies - borrow from FRE7241_homeworks_tests.R
inputs: returns, variance, pos_skew, neg_skew, volume, vwaps
positive convexity with respect to large skew
individual scatterplots
convert all variables to categorical
vwap has low t-val, but sign(vwap) has large t-val
optimize vwap in period up to 2011, and test it out-of-sample
perform lm() with zero intercept, and summarize regressions
perform regressions over periods of high and low volatility and volume
strong signal from skew in period of high vol?
predict and calculate table confusion matrix
regularize different vwaps (shrink) in-sample
test vwaps out-of-sample
apply gbm package: Generalized Boosted Regression Models?
volatility is proxy for volume with lag?
percentage of time pos_skew or neg_skew aren't zero?
perform regressions over different calendar periods
both vwap and skew more show stronger dependence during financial crisis
vwap has steady persistence, but not skew?
feature selection is most important
frequency of trading: contrarian skew strategy versus vwap strategy
add transaction costs by strategy
plot daily seasonality of trading rates
plot trading rates versus realized volatility
evaluate strategies individually and create shaded plots
evaluate strategy performance over different periods and link it to high volatility regimes
contrarian skew strategy worked mostly during financial crisis
simulate random prices and run through strategy
future directions, open questions
apply volume threshold to indicators - doesn't work because of daily seasonality?
investigate if skew is just proxy for past returns, or if it adds extra information
start with daily aggregations
trade next day at OPEN
perform regressions in high and low volatility periods
skew is negative on average, but changes over time
cor.test()
expand slide "Daily Strategy Using Skew Oscillator"
investigate if normalized skew is a contrarian indicator (oscillator) for future returns
show that relationship is stronger in high volatility periods
investigate relationship between skew and returns in high vol periods
show that relationship is stronger in high volatility periods
illustrate estimator efficiency as more data is used
MC simu
CFM anomaly
Donier Volatility Volume Market Liquidity Crash.pdf
volatility divided by square root of trading volume is a measure of market illiquidity
show that you can measure liquidity-adjusted imbalance over time
Why Do Markets Crash? Bitcoin Data Offers Unprecedented Insights
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2583743
order-book liquidity and price impact
the price impact is proportional to volatility times square root of ratio
of volume imbalance divided by trading volume
LeBaron Stock Momentum Volume
Persistence is directly related to the current rate of change of volume
# sources:
### quote references:
### slides
# Are High Frequency Traders Prudent and Temperate?
explain the concepts
# prudence and temperance
# packages xts, quantmod and TTR
# OHLC aggregations are good
# moment estimators
volume weighted
with O/N jumps or not?
# bias/variance tradeoff
\vskip1ex
Using high frequency data for estimation bias/variance tradeoff
### EARL Boston 2015 official
title:
Quantitative Portfolio Management with High Frequency Data
abstract:
Studies have shown that estimating portfolio risk parameters using high frequency data significantly improves their quality, and results in better portfolio performance.
We demonstrate elements of a computational framework in the R language that uses high frequency data for estimating risk and return parameters.
The parameters are used as input into models based on machine learning techniques such as cross validation (backtesting) and regularization.
The computational framework utilizes popular R packages for data scrubbing, aggregation, estimation, and machine learning.
We apply the framework to portfolio rebalancing, and we study alternative active management strategies.
### R Finance Chicago 2015
relationship between realized daily skewness and
But skewness and kurtosis are hard to estimate from low frequency (daily) returns.
There is much evidence that the third moment of returns is important for asset pricing.
Investor
for higher moments has also been studied, with
Their preference for higher moments has also been studied, with
the utility function
We use intraday data to compute weekly realized variance, skewness, and kurtosis
for equity
returns and study the realized moments time-series and cross-sectional properties.
We investigate if this weeks realized moments are informative for the cross-section of next weeks stock
returns. We a
nd a very strong negative relationship between realized skewness and next weeks
stock returns. A trading strategy that buys stocks in the lowest realized skewness decile and
sells stocks in the highest realized skewness decile generates an average weekly return of 24
basis points with a t-statistic of 3:65. Our results on realized skewness are robust across a wide
variety of implementations, sample periods, portfolio weightings, and
rm characteristics, and
are not captured by the Fama-French and Carhart factors. We
nd some evidence that the re-
lationship between realized kurtosis and next weeks stock returns is positive, but the evidence
is not always robust and statistically signi
cant. We do not
nd a strong relationship between
realized volatility and next weeks stock returns.