Write an introduction with a brief description of the bill miller and value trust case study and its main objectives and a conclusion with a summary of the main findings, implications, recommendations, and significance. The body should address the following questions:$1.$ What is the efficient markets hypothesis? What does it imply for the performance of mutual funds?$2.$ What would Miller say in response to the claim that his success is luck? What is his investment style?$3.$ Does anything about Value Trust surprise you? Why? How big a factor is the fund, or all of the equity mutual funds, in the stock market today?$4.$ What does it mean to beat the market? How do you define excellent performance?$5.$ What is Legg Mason, Inc.? What is its relationship to Value Trust? What are Legg Masonscore competencies?$6.$ Given the information in the case, would you invest in Value Trust as of autumn