California Public Employees' Retirement System (CalPERS) manages a pension fund for public sector employees in the state of California. CalPERS' assets consist of contributions made by employers and employees. CalPERS invests the contributions in order to generate the funds it needs to pay out retirement benefits in the future. With about 2 million participants in its pension fund, CalPERS manages assets worth over $400 billion and paid out about $24 billion in benefits in 2019. In 2016, CalPERS determined that it would target an expected rate of return from its investments of 7%. Suppose CalPERS believes that the CAPM holds and adopts a simple approach toward constructing its investment portfolio to achieve its expected return target - it will only invest in the S&P 500 index (market portfolio) and 3-month treasury bills (risk-free asset). The 3-month T-bills are expected to yield 2.00% (i.e. the annual risk-free rate is 2.00%) and the S&P 500 index is expected to return 6.00% more than the 3-month T-bill yield (i.e. the expected market risk premium is 6.00%) Current economic conditions and consequent actions taken by the Federal Reserve have resulted in lower treasury yields. Suppose that the 3-month T-bill yield (risk-free rate) is now 0.50% (the expected market risk premium is unchanged at 6%). 5. If CalPERS continued to invest in only the S&P 500 index and 3-month T-bills, what would its portfolio allocation (portfolio weights) and portfolio beta need to be in order for it to continue to have an expected return of 7%? What would CalPERS need to be able to do in order to create such a portfolio