Explore the risk management of a portfolio, which combines a R$400,000$ investment in gold and a R$600,000$ investment in silver. Given the respective daily volatilities of $1\mathrm{.}6\%$ for gold and $1\mathrm{.}3\%$ for silver, along with a coefficient of correlation between their returns of $0\mathrm{.}65,$ calculate the $10-$day $97\mathrm{.}5\%$ VaR and VaR diversification benefit for the portfolio. $(5)$