Assume you have $$500$ in stock $1$ and $$600$ in stock $2.$ Stock $1$ and Stock $2$ have following probability distribution:

Probability Return on Stock $1$ Return on Stock $2$

Recession $0\mathrm{.}2-0\mathrm{.}11-0\mathrm{.}07$

Normal $0\mathrm{.}60\mathrm{.}040\mathrm{.}03$

Expansion $0\mathrm{.}20\mathrm{.}150\mathrm{.}05$

Assume the risk$-$free rate is $0\mathrm{.}02.$ Assume the standard deviation of excess portfolio returns is the same as the standard deviation of portfolio returns calculated in the previous question. What is the Sharpe ratio on this portfolio?