Consider two asset classes: Stocks and Bonds. You estimate the following parameters for these two asset class funds.

correlation matrix b$/$n Stocks and Bonds

E$($r$)$ sd$($r$)$ Stocks Bonds

Stocks $17\%27\%10\mathrm{.}4$

Bonds $2\%5\%0\mathrm{.}41$

Consider a $$100,000$ portfolio consisting of $$30,000$ in Stocks and $$70,000$ in Bonds. So$,$ the portfolio is $30\%$ in Stocks and $70\%$ in Bonds. Given the expected return on the portfolio is $6\mathrm{.}5\%,$ and the standard deviation of the portfolio return is $10\mathrm{.}03\%,$ what is the lower limit on the portfolio value in a year if we use a $95\%$ probability level