2) You are employed in the corporate finance deparment of XYZ corporation and are responsible for insuring the company has an adequate cash balance when they report their balance sheet at the end of each quarter. After analyzing the daily fluctuations, you decide to model the daily cash balance as fluctuating day to day by $100,000 with the probability it increases on any given day equal to p=55%. Assuming daily changes are independent, what is the size of the initial cash balance required on day 1 of each quarter so that we end the quarter (90 days later) with a 95% chance of having a positive balance? 2) You are employed in the corporate finance deparment of XYZ corporation and are responsible for insuring the company has an adequate cash balance when they report their balance sheet at the end of each quarter. After analyzing the daily fluctuations, you decide to model the daily cash balance as fluctuating day to day by $100,000 with the probability it increases on any given day equal to p=55%. Assuming daily changes are independent, what is the size of the initial cash balance required on day 1 of each quarter so that we end the quarter (90 days later) with a 95% chance of having a positive balance