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1/ Portfolio Strategies for Volatility Investing (Campasano)

The degree of VIX futures contango "has been shown to hold predictive power over volatility returns. This study proposes a conditional strategy which allocates to market and volatility risk."

papers.ssrn.com/sol3/papers.cf…
2/ "The futures curve is generally upward sloping [front two futures are in contango]. When volatility is low, the VIX premium is positive, while at higher levels of volatility, the premium is smaller or negative. The average VIX premium is positive for over 80% of the sample."
3/ "The constant-maturity VIX30 return is 2.53% when the premium is positive and -0.74% when negative. Across the entire sample, the daily return is -0.17%.

"A low (high) premium portends high (low) returns.... The VIX premium is predictive as to VIX futures returns."
4/ This shouldn't come as a surprise: carry works basically everywhere because today's spot price is a better predictor of tomorrow's price than actual futures contract prices are.

(The expectation hypothesis fails for VIX futures as it does for bonds.)

5/ The author constructs an Enhanced portfolio that allocates to the S&P 500 and to VIX30 using risk parity weights(out-of-sample volatility estimates).

Contango = short VIX30
Backwardation = long VIX30

Trading is delayed for a day after signals and volatility are calculated.
6/ "While the performance of short VIX30 is fairly consistent across the two sub-samples, long VIX30 allocations posted positive returns during the first sub-sample but are unprofitable in the second."
7/ The Enhanced portfolio outperforms both the S&P 500 and various volatility-selling strategies in terms of tail metrics, Sharpe and Sortino ratios, and MPPM.

The outperformance is driven by long volatility allocations during the first half of the sample (2007-11).
8/ "The performance during market and relative drawdowns echo the general return pattern of the Enhanced portfolio, outperforming the broad equity market during more difficult investment periods [higher market volatility] and mildly underperforming during more favorable periods."
9/ Three variants are also tested:

EnhancedLong uses only the backwardation signal and does not short volatility when the futures are in contango.

EnhancedShort uses only the contango signal.

Enhanced90 allocates 90% of the portfolio risk to the S&P 500 and 10% to L/S VIX30.
10/ Travis Johnson has a detailed treatment of the relationship between the implied volatility term structure and variance asset returns here:

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