A government organization has hired you to make a recommendation on the cost of a high-tech sports complex that they are going to build. You estimate that the complex will cost $500m in todays money. You also estimate that the complex will need renovation every 10 years at a cost of $10m. The annual repairs and maintenance are estimated to be $2m per year. For an interest rate of 8%, calculate: a) the capitalized equivalent cost of the complex, b) the dollar value of costs at the end of year 10 and year 20.