Investors can choose to purchase either a risky portfolio or a riskless T$-$bill. The T$-$bill costs

$$95$ today and will be worth $$100$ at the end of the year. The risky portfolio costs $$580$ today. If

the economy does well, which occurs with probability $0\mathrm{.}3,$ the risky portfolio will be worth $$720$

at the end of the year. If the economy just treads water, which occurs with probability $0\mathrm{.}5,$ the

risky portfolio will be worth $$600$ at the end of the year. If the economy does poorly, which

occurs with probability $0\mathrm{.}2,$ the risky portfolio will be worth $$520$ at the end of the year. Use

scenario analysis to calculate the Sharpe ratio of this portfolio. SHOW WORK!