Which of the following are true about stock market returns as measured by the S&P $500$ index?

I. In $2008$ alone stocks in the index lost approximately $36\%$ of their value.

II$.$ $$10,000$ invested in the index in March $2009$ would have been worth more than $$20,000$ by the end of $2014.$

III. From the beginning of $2000$ to the end of $2010,$ the index more than doubled in value.

IV$.$ Both stock and real estate prices recovered recovered strongly in the period between early $2009$ and late $2014.$