Final answer:
a. The price of the stock on the ex-dividend date will be $133 per share. b. The price of the stock at the end of the year will be $136 per share. c. The firm does not need to issue any new shares of stock.
Step-by-step explanation:
a. According to the Miller and Modigliani model, the price of the stock on the ex-dividend date will decrease by the amount of the dividend. In this case, the dividend is $3, so the price of the stock on the ex-dividend date will be $136 - $3 = $133 per share.
b. If the dividend is not declared, the price of the stock at the end of the year will remain the same as the current price. Therefore, the price of the stock at the end of the year will be $136 per share.
c. To determine the number of shares of new stock the firm must issue to meet its funding needs, we need to calculate the funding shortfall, which is the difference between the new investments and the net income minus the dividend. In this case, the funding shortfall is $5.8 million - $3.2 million - $3 million = $-0.4 million. Since the firm has a negative funding shortfall, it does not need to issue any new shares of stock.