Alan Bowie is trying to determine the amount to set aside so that he will have enough money on hand in 5 years to overhaul the engine on his vintage used car. While there is some uncertainty about the cost of engine overhauls in 5 years, by conducting some research online, Alan has developed the following estimates.

Engine Overhaul Estimated Cash Outflow $350 470 700 930

Probability Assessment 10% 30% 50%

How much should Alan Bowie deposit today in an account earning 9%, compounded annually, so that he will have enough money on hand in 5 years to pay for the overhaul? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.) 10%