Based on the Thompson Asset Management case study from Harvard Business School Question $1$ what are the return and risk characteristics of the ProIndex fund, calculating the statistics as outlined in case Exhibit $4?$ Question $2$ What are the return and risk characteristics of the ProValue fund? Question $3$ What statistics and portfolio characteristics should TAM present, assuming different levels of investment in the ProValue fund $($$$5$ million, $$10$ million, and $$15$ million$)?$investment in ProValue Fund $5$M$,10$M$,$ and $15$M$?$

please answers all the questions if this case study from question$1$ to $3$ and interpret each answers in details in a form of report $,$ each answrs should be more than one page