A company is considering to take a $3$ year project with $$30$ million initial cost. If the demand is high, the project will generate cash flow of $$20$ million each year. If the demand is average, the project will generate cash flow of $$15$ million each year. If the demand is low, the project will generate cash flow of $$5$ million each year. The cost of capital for the project is $10\%.$ The probability of high demand, average demand, and low demand are $20\%,60\%$ and $20\%$ respectively. What is the expected value of this project?