The correlation risk premium

The correlation risk premium is a premium for uncertainty of future correlation of securities among each other or with a benchmark. A rise in correlation reduces diversification benefits. The common adage that in a crash ‘all correlations go to one’ reflects that there is typically not much diversification in large market downturns and systemic crises, except through outright shorts. Correlation risk premia can be estimated based on option prices and their implied correlation across stocks. There is evidence that these estimates are useful predictors for long-term individual stock performance, over and above the predictive power of variance risk premia.

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Policy rates and equity volatility

Measures of monetary policy rate uncertainty significantly improve forecasting models for equity volatility and variance risk premia. Theoretically, there is a strong link between the variance of equity returns in present value models and the variance short-term rates. For example, there is natural connection between recent years’ near-zero forward-guided policy rates and low equity volatility. Empirically, the inclusion of derivatives-based measures of short-term rate volatility in regression forecast models for high-frequency realized equity volatility has added significant positive predictive power at weekly, monthly and quarterly horizons.

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Gold: risk premium and expected return

An empirical paper suggests that the risk premium and excess return on gold have been time-varying and predictable, also out-of-sample. The key predictors have been the variance risk premium and the jump risk premium of gold. Gold has historically also served as a hedge and “safe haven” for equity and bond investments, but this could not have been expected based on forecasting models. Common sense suggests that the hedge value of gold depends on the dominant market shock. For example, gold hedges against inflationary policies but not against rising real interest rates.

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The downside variance risk premium

The variance risk premium of an asset is the difference between options-implied and actual expected return variation. It can be viewed as a price for hedging against variation in volatility. However, attitudes towards volatility are asymmetric: large upside moves are fine while large downside moves are scary. A measure of aversion to negative volatility is the downside variance risk premium, the difference between options-implied and actual expected downside variation of returns. It is this downside volatility risk that investors want to protect against and whose hedging price is a valid and apparently robust indicator of future returns. Similarly, the skewness risk premium, the difference between upside and downside variance risk premia, is also a powerful predictor of markets.

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The 1×1 of risk perception measures

There are two reasons why macro traders watch risk perceptions. First, sudden spikes often trigger subsequent flows and macroeconomic change. Second, implausibly high or low values indicate risk premium opportunities or setback risks. Key types of risk and uncertainty measures include [1] keyword-based newspaper article counts that measure policy and geopolitical uncertainty, [2] survey-based economic forecast discrepancies, [3] asset price-based measures of fear and uncertainty and [4] derivatives-implied cost of hedging against directional risk and price volatility.

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Volatility risk premia in the commodity space

Volatility risk premia – differences between options-implied and actual volatility – are valid predictors for risky asset returns. High premia typically indicate high surcharges for the risk of changes in volatility, which are paid by investors with strong preference for more stable returns. For commodities volatility risk premia should have become a greater factor as consequence of their “financialization”. New evidence suggests that indeed volatility risk premia on commodity currencies have predictive power for subsequent commodity returns, while crude and gold premia have predictive power for other asset classes in accordance with the nature of these commodities. Since estimation of these premia takes some skill and judgment this points to opportunities for macro trading with econometric support.

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Volatility risk premia and FX returns

Volatility risk premia – differences between implied and realized volatility – are plausible and empirically validated predictors of directional foreign exchange returns, particularly for EM currencies. The intuition is that excess implied volatility typically results from elevated risk aversion, which should be indicative of undershooting. When calculating the volatility risk premium it is important to compare short-term implied volatility with realized volatility of that same period. One would expect positive returns on currencies whose very recent volatility has been less than feared.

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Understanding and dissecting the variance risk premium

The variance risk premium is paid by risk-averse investors to hedge against variations in future realized volatility. Empirical evidence and intuition suggest that equity markets indeed pay over the odds for downside risk in mark-to-market variations but accept a discount for upside risk. The highest premium is paid for downside skewness risk. These forms of variance risk premia have been significant predictors of U.S. equity returns.

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Variance risk premiums, volatility and FX returns

Variance risk premiums mark the difference between implied (future) and past volatility. They indicate changes in risk aversion or uncertainty. As these changes may differ or have different implications across countries, they may cause FX overshooting and payback. The effect complements the simpler argument that rising currency volatility predicts lower FX carry returns. Academic papers support both effects empirically.

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Volatility insurance and exchange rate predictability

The cost of insuring against currency volatility can be measured as the difference between (options-based) implied volatility and (swaps-based) forward expected realized volatility. A case can be made that this insurance premium determines how much exposure risk-averse institutions are willing to accept. A new paper and blog post by Della Corte, Ramadorai, and Sarno claim that variations in volatility insurance costs can be the basis for a profitable currency trading strategy.

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