has one share of a stock. She has two days to sell her stock. At the opening of the stock market on each day, she decides whether to hold or sell the stock. If she decides to sell the stock, she sells it at the opening price. On each day, the stock price is expected to increase by $20 with probability 0.4 and decrease by $16 with probability 0.6 at the closing of the market. Assume that the opening price on the first day is $100. Kelly wants to maximize her wealth. a. Construct a decision tree for Kelly's stock selling problem. b. Find an optimal decision strategy for Kelly using the expected value approach. What is the expected value of the optimal decision strategy? Show the backward pass procedure.
3. Kelly has one share of a stock. She has two days to sell her stock. At the opening of the stock market on each day, she decides whether to hold or sell the stock. If she decides to sell the stock, she sells it at the opening price. On each day, the stock price is expected to increase by $20 with probability 0.4 and decrease by $16 with probability 0.6 at the closing of the market. Assume that the opening price on the first day is $100. Kelly wants to maximize her wealth.
a. Construct a decision tree for Kelly's stock selling problem.
b. Find an optimal decision strategy for Kelly using the expected value approach. What is the expected value of the optimal decision strategy? Show the backward pass procedure.
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