You are selected as an analysis to manage a fixed income portfolio for a client in particular a corporate bond. You are considering a 3-year floating rate note with 1 year benchmark rate of 2.88%. It is priced at 685 of 1000 par value. Your analysis tells you probability of default is approximately 40%. If the issue survives over the next three years due to the industry it is in. The probability of default for each year is 9% and a volatility of 12%. What is the price of the bond?