Suppose you have $$350,000$ in cash, and you decide to borrow another $$49,000$ at a $3\%$ interest rate to invest in the

stock market. You invest the entire $$399,000$ in a portfolio $J$ with a $19\%$ expected return and a $30\%$ volatility.

a$.$ What is the expected return and volatility $($standard deviation$)$ of your investment?

b$.$ What is your realized return if $J$ goes up $24\%$ over the year?

c$.$ What return do you realize if $J$ falls by $25\%$ over the year?