$2.$ Suppose you are looking at Exchange Trade Funds $($ETF$)$ to start your Roth IRA investment. More specifically, you are looking at the Vanguard Growth Index Fund ETF $($Ticker VUG$).$ Below are graphs illustrating historical performance for the fund.

Given that with a $$10,000$ investment in VUG in $2011,$ the cumulative growth as of the end of $2020$ in VUG is $$46,109.$ Calculate AND interpret the geometric average return for VUG during the $10-$year period. HINT: The geometric average return can be calculated via the interest rate $($i$)$ of the TVM function.