Portfolio returns follows a normal distribution


#1

1)Assuming your portfolio return follows a normal distribution, calculate the chance that your portfolio loses 10% of its value during any month?
2)Assuming you have invested $100,000 in your portfolio, what is value at risk (VaR) of your portfolio at any particular month at 99% confidence level?
3) Now randomly change your portfolio’s weights 100 times (note total weights should always be 100%), for each weight combination calculate the mean and standard deviation of your portfolio, and then draw the efficient frontier.
4) For each item mentioned above explain your rationale and cite peer-reviewed and/or seminal sources.