Porfolio Standard Deviation from Time Series
Overview
The net asset value of a portfolio is just a
time series
like any other. The standard tools of time series analysis applies.
In particular, portfolio NAV is a
non-stationtary series.
This typically means that the NAV series is differenced first (by computing returns)
prior to analysis. Then, the volatililty of the portfolio can be computed, and
a factor analysis can be performed to try to forecast returns.
Challenges
The primary challenge to analyzing a portfolio as a typical time series is that the composition of the portfolio will
very likely change over time, which casts into doubt whether assuming that the portfolio returns is generated from
a stable distribution.