Please include formulas and calculations without excel. Thanks

Question 2: (8 marks) You have decided to invest $100,000 on stock A and $60,000 on stock B. You believe that the probabilities of having a boom next year is 20%, of having a stable economy is 55%, and of having a recession is 25%. You have also concluded that next year prices and dividends are the values in the tables below. Stock A's current price is $25, and stock B's current price is $12. What is the expected rate of return of your portfolio over the following year? Stock A: State of the Economy Probability Price next year Dividend next year Boom 0.20 $37 $3 Stable 0.55 $33 $2 Recession 0.25 $25 $0 Stock B: State of the Economy Probability Price next year Dividend next year Boom 0.20 $18 $0 Stable 0.55 $15 $0 Recession 0.25 $9 $0