Relationship of Portfolio returns to Vol Index returns
Questions
Questions:
We use AiLA-V001 which is a vol index created to measure the markets view on volatility.
The AiLA-V001 index was constructed from liquid options across the most liquid commodities.
Can we observe any relationships between the AiLA alpha index (AiLA S series) performance and the prevailing volatility conditions reflected by the AiLA-V001?
Approach:
Given the lack of data sufficiency with one single AiLA index, we pooled many AiLA indices together for the analysis.
Investigated the expected return historically for the AiLA indices, conditional on different volatility circumstances.
We use implied volatility and vol index interchangeably as vol index constitutes a basket of implied volatility
Performance vs IV
Split data into three bins based on the prevailing IV index values, i.e. level of volatility.
Weak indication of expected returns to be larger during periods with higher implied volatility.
The indication disappear when normalizing the returns to the sample std.dev. of their corresponding bin.
Therefore, in case of a significant effect, it would primarily be explained by the different size of the returns rather than the ability to predict their sign.
Indication of a uniform index performance when traded on a risk adjusted basis.
Performance vs ∆ IV
Split data into three bins based on the prevailing change of IV index values, i.e. decreasing, flat or increasing IV.
Indicates a different pattern between long-short and long-only AiLA indices.
The AiLA long-short indices indicates a tendency to perform well in both a decreasing as well as increasing IV environment.
The AiLA long-only indices indicates a tendency of performing best in a decreasing IV environment and to historically loose money during increasing IV periods.
The long-only pattern appears intuitively consistent with the typical IV development during a market crash period, e.g. such as the first half of 2020.
Performance vs ∆ IV
The performance pattern w.r.t increasing and decreasing IV is generally reflected also when broken down to an individual AiLA index level.
Here 11 out of the 15 long-short AiLA indices yield an expected return historically larger during increasing IV than decreasing IV.
All 4 of the long-only AiLA indices yield a smaller expected return during increasing IV than decreasing IV, with negative increasing IV values.
It should, however, be noted that the limited data set and corresponding large statistical errors generally makes it difficult to draw strong general conclusions.
Conclusions
An implied volatility index (AiLA-V001) was used to measure the markets view on volatility, and was used in a study of potential relationships with the performance of the AiLA alpha indices (AiLA S series).
An indication of a slight performance difference w.r.t the level of IV was obtained, however, the potential effect was found consistent with the difference in size of the returns.
A different performance pattern was, however, observed between the AiLA long-short vs long-only indices.
For the long-short indices high expected returns were obtained both during increasing as well as decreasing IV, whereas for the long-only indices decreasing IV typically was associated with significantly higher expected returns than increasing IV.
These result are intended as an initial overview regarding relationships between the AiLA alpha and IV indices, with further research work expected to follow on the topic of volatility.