Hyatt has 20 employees at age 45, who will retire when they become pension eligible at age 65.  At this...

Hyatt has 20 employees at age 45, who will retire when they become pension eligible at age 65.  At this point they would have 30+ years of service and would be entitled to a pension of 2,000/month, adjusted for inflation, for the rest of their life.  Assuming a 3% inflation rate, life expectancy of 80 years and a 4.5% investment rate of return, how much would the company need to put aside today in order to meet their pension obligation?