1. Toyota Corp.'s stock price has a variance of returns equal to 0.0335. Honda Corp.'s stock price has a variance of returns equal to 0.0505. The covariance between Toyota and Honda is 0.0675. What is the standard deviation of a portfolio consisting of 50% Toyota and 50% Honda?

2. Financial analysts have estimated the returns on shares of Drucker Corporation and the overall market portfolio under various economic conditions as follows. The return for Drucker in the following three economic states of nature are forecasted to be: -15% in recession, +8% in moderate growth, and +30% in a boom. Estimates for the market as a whole in the same economic states are -12% in recession, +5% in moderate growth, and +22% in boom. The analyst considers each state to be equally likely. Using these data, compute the beta of Drucker Corporation's stock.