Consider the following information about the expected return and volatility of Microsoft and Walmart Stock:

Expected Return Microsoft: $10\%$

Volatility Microsoft: $20\%$

Expected Return Walmart: $12\%$

Volatility Walmart: $30\%$

Correlation between Microsoft and Walmart: $1/2$

Risk Free Rate: $3\%$

a$)(6$ pts$)$ What is the volatility of an equally weighted portfolio of Microsoft and Walmart.

b$)(4$ pts$)$ What is the Sharpe Ratio of an equally weighted portfolio of Microsoft and Walmart.

c$)(5$ pts$)$ In one or two sentences, explain why the Sharpe Ratio of an equally weighted portfolio of Microsoft and Walmart is greater than the Sharpe Ratio of Microsoft alone.