Security 1 Expected return is 10% and Standard Deviation is 5%

Security 2 Expected return is 4% and Standard Deviation is 2%

Assume a riskless rate of 10%, What is the optimal investment?

A. what is the optimal investment when p=+1? (That is, specify if you would chose, the risk free security, security 1, security 2 or a combination of securities (1) and (2). If you chose a combination of securities 1 and 2, please specify the weights in each). What is the E[R] and variance of your chosen portfolio?

B. what is the optimal investment when p= -1? (That is, specify if you would chose, the risk free security, security 1, security 2 or a combination of securities (1) and (2). If you chose a combination of securities 1 and 2, please specify the weights in each). What is the E[R] and variance of your chosen portfolio?