Choose $5$ ETFs with a minimum of ten years of performance data from Yahoo Finance. One of these ETFs must be VTI $($Vanguard Total Stock Market ETF$)$ or a similar benchmark. Aim for maximum diversification in your selection, covering different sectors and asset classes. In addition to VTI as your portfolio's 'Anchor', include:

A 'Diversifier': Select an asset class that is uncorrelated with VTI, such as commodities, alternative investments, or private equity.

A 'Counterbalance': Include ETFs that represent various bonds $($government$,$ corporate, foreign, or municipal$)$ to stabilize your portfolio's returns.

A 'Booster': Choose ETFs focusing on high$-$growth industries like AI$,$ semiconductors, biotechnology, or green technology to potentially enhance your portfolio's growth.

After selecting your ETFs, prepare the following three tables:

TABLE $1$: a single table showing the following information for each of your ETF:

ETF Ticker

Monthly return statistics $($arithmetic and geometric averages, standard deviation$)$

Current value of $$1,000$ IF invested $20$ years ago

All values in the table should LINK back to the original raw data you downloaded from Yahoo! Finance.

Betas $($relative to VTI$)-$ to indicate each ETF's contribution to your portfolio's overall volatility. TABLE $2$: Variance Covariance Matrix to show diversification benefits of each ETF.

TABLE $3$: Correlation Matrix $-$ make sure that no correlation is above $95\%($ideally$,$ all correlations should be as low as possible $-$ to derive the maximum diversification benefits.