Problem:
You have a $2 million portfolio consisting of a $100,000 investment in each of 20 different stocks. The portfolio has a beta of 0.85. You are considering selling $100,000 worth of one stock with a beta of 1.05 and using the proceeds to purchase another stock with a beta of 1.45. What will the portfolio's new beta be after these transactions? Please describe in detail and provide all working out.