Please show all work.

Imagine you are a provider of portfolio insurance. You are establishing a 4-year program. The portfolio you manage is currently worth $118 million, and you hope to provide a minimum return of 0%. The equity portfolio has a standard deviation of 30% per year, and T-bills pay 8% per year. Assume for simplicity that the portfolio pays no dividends (or that all dividends are reinvested). How much should be placed in bills? How much in equity? What is the delta if the new portfolio falls by 2% on the first day of trading? Complete the following: Assuming the portfolio does fall by 2%, the manager should _________ _________ in stock.