A mature company in the Beverage and Food Industry, with stable earnings expects to have earnings per share $($EPS$)$ of $30$ AED in the coming year and its current stock price is $280$ AED. The management must decide between the following alternatives: Pay all its earnings as dividends and abandon the new investment in Dubai or Cut its dividend payout rate to $75\%$ and implement the Dubai Project. If the second policy is followed there is a divergence in the estimation of the Return on New Investment.

$($i$).$ Pay all of its earnings as dividends. Because of the status of the company and its strength in the market, the CEO believes that cash flow from operations is sufficient to continue to reinvest in growth, though must abandon Dubai Project for next year, and decided to pay out all of its earnings to investors. Besides that, current economic conditions are weak due to the crisis, and the CEO is more willing to pay dividends than to enter a program of share buybacks. In addition, there is a favorable tax environment.

Questions:

$(1)$ What is the dividend yield and the growth rate of the firm?

$(2)$ Calculate the required rate of return.

$(3)$ What is the firm$$s P$/$E ratio?

$($ii$).$ Cut its dividend payout rate to $75\%.$ On the other hand, the company$$s manager has negative expectations regarding the recent financial crisis and advises cutting dividends even if this is not consistent with its long$-$run growth in earnings. He believes that it is better to reinvest some of the earnings to open new stores in Dubai, a project that will last $2$ years and hence, it is advisable to safeguard its financial reserves for future expenses. If the firm follows this program the return on investment is expected to be $17\%.$ Suppose that the required rate of return is the same as calculated in Question $(2)$ above.

Questions:

$(4)$ What effect would this policy have on the company$$s stock price?

$(5)$ Justify the dividend policy of the firm for both cases $($i$)$ and $($ii$).$

$(6)$ What would be the total return of a stockholder under conditions $($ii$)?$

$($iii$).$ Expected return on New investment is $9\%$ rather than $17\%.$ Global Financial Crisis is severe and persist. The manager of the company estimates that in this case the return on the new investment will be $9\%$ rather than $17\%.$ Assume EPS $=$ AED $6$ and the required rate of return is unchanged.

Questions:

$(7)$ What effect would this change have on the company$$s stock price?

$(8)$ Should the company implement the new investment project and open new stores in Dubai?

$(9)$ What do you advise the firm given the above scenarios, firm$$s conditions, and economic situation?

$($iv$).$ Taking into consideration the market$$s systematic risk. Our firm has a beta factor $($systematic risk$)$ quite low, equal to $0\mathrm{.}67.$ This is expected as our firm belongs to the Beverage and Food industry. The economy$$s risk$-$free rate is $6\%$ and the market$$s return is $10\%.$

Questions:

$(10)$ Estimate the risk premium.

$(11)$ Estimate the required rate of return using CAPM.

$(12)$ Estimate the price of the stock under alternative $($ii$)$ using your answer to Q $(11).$ How do you explain the difference in price found in Question $4?$

$(13).$ What should be your final estimation of the firm$$s stock price?