Exercise

# The GMV portfolio

The global minimum volatility portfolio, or **GMV** portfolio, is the portfolio with the lowest standard deviation (risk) and the highest return for the given risk level.

Returns are very hard to predict, but volatilities and correlations tend to be more stable over time. This means that the GMV portfolio often outperforms the MSR portfolios out of sample even though the MSR would outperform quite significantly in-sample. Of course, out of sample results are what really matters in finance.

Instructions

**100 XP**

- Sort
`RandomPortfolios`

with the**lowest**volatility value, ranking in ascending order. - Multiply
`GMV_weights_array`

across the rows of`StockReturns`

to get weighted stock returns. - Finally, review the plot of cumulative returns over time.