Suppose that if investors purchase a share of Firm A's stock today, with 50% of probability investors will receive a $120 per share dividend payment one year later, and 50% probability they will receive $80. The firm will then be liquidated and the shares will not have any further claim on the firm's liquidation value. If stock investors demand a 8% return to invest in this firm, what must be the price per share today? If the discount rate increases to 10% today, what would be new price today? At the new price, what is investors' expected return during the year?