$1)$ Consider an insurance company that uses the historical simulation method to compute the market risk of its investment portfolio. The worst $10-$day losses over the last $300$ trading periods were:

Worst loss: $$7,710$

Second$-$worst loss: $$7,460$

Third$-$worst loss: $$6,950$

Fourth$-$worst loss: $$6,490$

Fifth$-$worst loss: $$6,250$

Sixth$-$worst loss: $$5,930$

What is the estimated $10-$day $99\mathrm{.}5\%$ VaR for this portfolio?

$2)$ Consider an insurance company that uses the historical simulation method with weighted observations to compute market risk of its investment portfolio. The worst $10-$day losses $($with their associated weights$)$ over the last $350$ trading days were:

Observation Loss Weight

Worst loss $$5,9100\mathrm{.}0035$

Second$-$worst loss $$5,2500\mathrm{.}0030$

Third$-$worst loss $$5,1500\mathrm{.}0025$

Fourth$-$worst loss $$4,5000\mathrm{.}0010$

Fifth$-$worst loss $$4,2300\mathrm{.}0020$

What is the estimated $10-$day $99\mathrm{.}5\%$ VaR for this portfolio?

Note: Your answer must be accurate to within one dollar.