Equity factor timing with macro trends

Plausibility and empirical evidence suggest that the prices of equity factor portfolios are anchored by the macroeconomy in the long run. A new paper finds long-term equilibrium relations of factor prices and macro trends, such as activity, inflation, and market liquidity. This implies the predictability of factor performance going forward. When the price of a factor is greater than the long-term value implied by the macro trends, expected returns should be lower over the next period. The predictability seems to have been economically large in the past.

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Measuring the value-added of algorithmic trading strategies

Standard performance statistics are insufficient and potentially misleading for evaluating algorithmic trading strategies. Metrics based on prediction errors mistakenly assume that all errors matter equally. Metrics based on classification accuracy disregard the magnitudes of errors. And traditional performance ratios, such as Sharpe, Sortino and Calmar are affected by factors outside the algorithm, such as asset class performance, and rely on the normal distribution of returns. Therefore, a new paper proposes a discriminant ratio (‘D-ratio’) that measures an algorithm’s success in improving risk-adjusted returns versus a related buy-and-hold portfolio. Roughly speaking, the metric divides annual return by a value-at-risk metric that does not rely on normality and then divides it by a similar ratio for the buy-and-hold portfolio. The metric can be decomposed into the contributions of return enhancement and risk reduction.

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The emotion beta of stocks

Stock markets cater to both the financial and emotional needs of investors. In particular, integral emotions, which are caused by decisions themselves, are useful personal experiences. However, they compromise conventional valuation criteria and can lead to market inefficiency. A new paper estimates the emotional ‘glitter’ of stocks as an ’emotion beta’, i.e. the statistical sensitivity of returns to a market-level emotion index. The index is based on the difference between excitement and anxiety word counts in newspaper articles. Emotion betas significantly and positively predict subsequent return differentials across stocks. Tracking emotional attraction seems to make investor behavior partly foreseeable. High-emotion portfolios have historically outperformed low-emotion portfolios significantly.

Bin Hasan Shehub, Alok Kumar and Richard Taffler (2021), “Anxiety, Excitement, and Asset Prices”

The below quotes are from the paper. Headings, cursive text, and text in brackets has been added.
This post ties in with this site’s summary on implicit subsidies, particularly the section on equity.

The importance of emotions in investment decisions

Stock market participation meets both emotional and financial needs of investors. Investors are likely to enter into emotional relationships with stocks…The role of emotions in decision-making is a dominant theme in the psychology literature. Financial economists have… recognized the importance of incidental emotions such as weather, sentiment, and mood in investment decisions and financial market outcomes…In contrast, the potential impact of integral or fundamental emotions (e.g., excitement, anxiety, fear, panic, anger, guilt, etc.) on financial decisions and aggregate market outcomes has received relatively less attention…Integral emotions…are fundamental and often unconscious, and at sufficient levels of intensity can strongly affect cognitive processing.”

“As opposed to incidental emotions, integral emotions are emotions that are caused by the decision itself. They arrive, for example, when you think about the parameters of the decision or its implications. And these emotions can actually be pretty useful. If thinking through a decision causes you some anxiety, that is useful information: it might be a sign that you need to be very cautious, and that you should potentially be more risk-averse rather than risk-seeking with the decision.” [Cote]

“The effects of integral emotions are difficult to avoid and they are influential even in the presence of cognitive information. The intensity of such fundamental emotions progressively takes over and overrides rational courses of action. Consequently, investors are likely to make sub-optimal decisions

The intensity of investor-firm emotional relation adds to the conventional asset valuation criteria. In particular, investors’ expectations of future gain, both as individuals and as a group, create excitement, but with the associated anxiety of future loss. We demonstrate that such an uncertainty-driven emotional process is an important driver of asset prices.”

How to measure emotion beta

“We introduce the concept of emotional utility and posit that investors enter into emotionally-charged relationships with the stocks they invest in. Investors are likely to experience different emotions such as excitement and anxiety and enter into ambivalent object relationships with stocks of a ‘love’ and ‘hate’ nature affecting their investment preferences…Investors create a set of attractive stocks that grab their attention before making the final investment decision. In the same way, we conjecture that investors are attracted to stocks that have emotional ‘glitter’, i.e., high emotional utility. Once such an emotional bond exists, investors are likely to derive emotional utility from their investments.”

We measure the time-varying emotional utility of stocks for investors in terms of the feelings of excitement and anxiety that they generate. We estimate each stock’s emotional utility to investors, and examine whether this firm-level measure of sensitivity to changes in market-level emotional state (i.e., emotion beta) can explain cross-sectional patterns in stock returns.”

“To measure an individual stock’s emotional utility to investors, we first construct a market-level emotion index. We construct this index using a standard bag-of-words technique with keyword dictionaries made up of 134 excitement-related words and 161 anxiety-related words. For each month during the January 1990 to December 2018 sample period, we use the ratio of difference between excitement and anxiety word counts in newspaper articles to the total number of excitement and anxiety words to derive the market emotion index…Media coverage keeps individual stocks and the market alive in investors’ minds, and in the spotlight of public discussion…This index is designed to capture the emotional engagement of investors with the overall stock market.”

“To capture the cross-sectional variation in emotional utility across individual firms, we estimate individual firm-level stock emotion betas using 60-month rolling regressions of excess stock returns on the market emotion index. These betas are our proxy for the emotional connections between investors and firms. In particular, the returns of a firm with high emotion beta exhibits greater sensitivity to the variation in the emotional state of the overall market.”

“We transform the monthly emotion betas into conditional emotion-sensitive betas by taking their absolute values. We focus on the magnitude of the conditional emotion beta for several reasons. First, emotional intensity represents ‘arousal’ in the circumplex model of affect increases with absolute value of valence. Arousal represents the power of the emotions individuals experience that we expect to impact investor decision making in a predictable manner. Second, strength of investor emotion is more salient than its valency. At sufficient levels of intensity emotion overwhelms cognitive processing and directs behavior in directions different from those predicted by rational decision-making.”

“Specifically, we posit that investors are more attracted to stocks with high emotion beta, which in turn could affect its pricing. The more powerful the investor ‘arousal’, the greater the propensity to invest and higher are the prices in the near future. Conversely, the weaker a firm’s emotional utility to investors, the lower would be the appeal of the stock to investors, and lower would be the stock price in the short-term.”

How emotion beta is related to subsequent returns

“Our main objective is to quantify the emotional attraction individual stocks have for investors and how this can be used to predict the cross-section of stock returns.”

“To examine the relation between stock emotion betas and cross-sectional patterns in stock returns, we first sort stocks into quintile portfolios based on previous month emotion beta, and measure the monthly returns of the resulting portfolios. We find that the high emotion beta portfolio outperforms the low emotion beta portfolio. During the January 1995 – December 2018 sample period, the high-minus-low portfolio earns an abnormal return of 0.41% per month (t-statistic = 5.23) on a risk-adjusted basis. Similarly, the characteristic-adjusted average excess return is 0.54% per month (t-statistic = 3.80).”

“The economic significance of the alpha estimates persists for up to four months and then becomes insignificant. This evidence indicates that the alpha estimates of emotion beta portfolios capture mispricing of stocks with high emotional sensitivity, which eventually gets corrected over the next few months.”

“In additional tests, we estimate monthly Fama and MacBeth regressions and find that emotion beta is economically significant. It has a coefficient estimate of 0.55 with tstatistic of 4.06. In economic terms, this estimate implies that a one standard deviation shift in conditional emotion beta is associated with a 0.55 × 2.43 = 1.34% shift in stock return in the following month. Consistent with the factor model estimate, we find that the predictive ability of emotion beta remains strong for up to several months ahead.”

“We investigate whether our integral emotion beta predictability is distinct from the known predictive ability of incidental emotions such as seasonal mood, valence such as sentiment, positivity/negativity-based textual tone and [the] economic policy uncertainty index…Evidence indicates that the emotion beta effect is distinct from the other related determinants of future stock returns.”

Risk premia in energy futures markets

Energy futures markets allow transferring risk from producers or consumers to financial investors. According to the hedging pressure hypothesis, net shorts of industrial producers and consumers bias futures prices towards the low side. According to the theory of storage, inventory and supply shortages bias spot and front futures’ prices to the high side relative to back futures. Under both popular hypotheses, “backwardated” futures curves are – all other influence being neutral– indicative of premia paid to longs in back futures. A new paper finds sizeable hedging pressure premia. Long-short positions across a range of energy futures based on hedging pressure and term structure factors seem to have produced significant returns. A promising approach is to integrate various factors into a single long-short portfolio across the spectrum of energy futures.

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Ten things investors should know about nowcasting

Nowcasting in financial markets is mainly about forecasting forthcoming data reports, particularly GDP releases. However, nowcasting models are more versatile and can be used for a range of market-relevant information, including inflation, sentiment, weather, and harvest conditions. Nowcasting is about information efficiency and is particularly suitable for dealing with big messy data. The underlying models typically condense large datasets into a few underlying factors. They also tackle mixed frequencies of time series and missing data. The most popular model class for nowcasting is factor models: there are different categories of these that produce different results. One size does not fit all purposes. Also, factor models have competitors in the nowcasting space, such as Bayesian vector autoregression, MIDAS models and bridge regressions. The reason why investors should understand their nowcasting models is that they can do a lot more than just nowcasting: most models allow tracking latent trends, spotting significant changes in market conditions, and quantifying the relevance of different data releases.

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Macro trends for trading models

Unlike market price trends, macroeconomic trends are hard to track in real-time. Conventional econometric models are immutable and not backtestable for algorithmic trading. That is because they are built with hindsight and do not aim to replicate perceived economic trends of the past (even if their parameters are sequentially updated). Fortunately, the rise of machine learning breathes new life into econometrics for trading. A practical approach is “two-stage supervised learning”. The first stage is scouting features, by applying an elastic net algorithm to available data sets during the regular release cycle, which identifies competitive features based on timelines and predictive power. Sequential scouting gives feature vintages. The second stage evaluates various candidate models based on the concurrent feature vintages and selects at any point in time one with the best historic predictive power. Sequential evaluation gives data vintages. Trends calculated based on these data vintages are valid backtestable contributors to trading signals.

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Machine learning for portfolio diversification

Dimension reduction methods of machine learning are suited for detecting latent factors of a broad set of asset prices. These factors can then be used to improve estimates of the covariance structure of price changes and – by extension – to improve the construction of a well-diversified minimum variance portfolio. Methods for dimension reduction include sparse principal components analysis, sparse partial least squares, and autoencoders. Both static and dynamic factor models can be built. Hyperparameters tuning can proceed in rolling training and validation samples. Empirical analysis suggests that that machine learning adds value to factor-based asset allocation in the equity market. Investors with moderate or conservative risk preferences would realize significant utility gains.

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Accounting data as investment factors

Corporate balance sheet data are important building blocks of quantitative-fundamental (“quantamental”) investment factors. However, accounting terms are easily misunderstood and confused with economic concepts. Accounting is as much driven by assessment of risk as it is by economic value. For example, earnings are recognized only when receipt of cash is highly certain. Investment spending is recognized as such only when there is a high probability of related payoffs. Acknowledging links to risk and the double-entry system, accounting data can be combined into factors that capture the information that they jointly convey. For example, earnings yields become a more meaningful indicator when also considering return on equity and expended investment ratios.

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Diversified reward-risk parity

Risk parity is a portfolio construction technique that seeks to equalize risk contributions from the different components of the portfolio. Risk parity with respect to uncorrelated risk sources maximizes diversification. Simple risk parity rules are based on the inverses of market beta, price standard deviation, or price variance. These methods can be combined with common reward risk metrics, such as the Sharpe ratio, Calmar ratio, STAR ratio, or Rachev ratio. The resulting diversified reward-risk parity allocations have not only outperformed equally-weighted risk portfolios and standard factor allocations but also provided enhanced risk management.

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A market-to-book formula for equity strategies

A new proxy formula for equity market-to-book ratios suggests that (the logarithm of) such a ratio is equal to the discounted expected value of (i) differences between return on equity and market returns and (ii) the net value added from share issuance or repurchases. A firm with a higher market-to-book ratio must have lower future returns, higher return on equity, or more valuable growth or repurchase opportunities. One can cleanly decompose return forecasts into forecasts of future profitability, investment, and the market-to-book ratio at any horizon. Empirical evidence confirms that market-to-book ratios predict returns in the long run, but only to the extent that the ratio itself is not affected by profitability and investment. Indeed, profitability and investment value-added jointly explain about 60% of variations in market-to-book ratio and – hence – should be taken into consideration for investment strategies based on valuation ratios. This broader view helps to forecast returns on value stocks versus growth stocks.

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