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. (Common stock valuation) The common stock of NCP paid $1.27 in dividends last year. Dividends are expected to grow at an annual rate of 8.90

​3. (Common stock​ valuation) 

The common stock of NCP paid

​$1.27 in dividends last year. Dividends are expected to grow at an annual rate of

8.90percent for an indefinite number of years.

a. If your required rate of return is 11.40percent​,what is the value of the stock for​ you?

b.Should you make the​ investment?

4. ​(Common stock​ valuation)  

​Wayne, Inc.’s outstanding common stock is currently selling in the market for $21. Dividends of $3.33per share were paid last​ year, return on equity is 15 percent, and its retention rate is 23 percent.

a.What is the value of the stock to​ you, given a required rate of return of

19percent?

b.  Should you purchase this​ stock?

​5.(Measuring growth)  

​Thomas, Inc.’s return on equity is 15 percent and management has plans to retain

22percent of earnings for investment in the company.

a. What will be the​ company’s growth​ rate?

b.How would the growth rate change if management​ (i) increased retained earnings to

33 percent or​ (ii) decreased retention to 11

​percent?

6. ​(Measuring growth)  

Green Gadgets Inc. is trying to decide whether to cut its expected dividend for next year from $9per share to $6 per share in order to have more money to invest in new projects. If it does not cut the​dividend, Green​ Gadgets’ expected rate of growth in dividends is 5 percent per year and the price of their common stock will be $105.per share. ​ However, if it cuts its​ dividend, the dividend growth rate is expected to rise to 8percent in the future. Assuming that the​ investor’s required rate of return for Green​ Gadgets’ stock does not​ change, what would you expect to happen to the price of its common stock if it cuts the dividend to $6​?

Should Green Gadgets cut its​ dividend? Support your answer as best you can.

7. ​(Common stock​ valuation)  

Dubai​ Metro’s stock price was at $100per share when it announced that it will cut its dividend for next year from $8 per share to $4per​ share, with additional funds used for expansion. Prior to the dividend cut, Dubai Metro expected its dividends to grow at a 4percent​ rate, but with the​ expansion, dividends are now expected to grow at 7percent. How do you think the announcement will affect Dubai​ Metro’s stock​ price?

8, Relative valuation of common​ stock)  

Using the ​P/E ratio approach to​ valuation, calculate the value of a share of stock under the following​conditions:

•the​ investor’s required rate of return is 16percent,

•the expected level of earnings at the end of this year (Upper E 1E1​) is $5​,

•the firm follows a policy of retaining 40 percent of its​ earnings

• the return on equity (ROE​) is 14 percent, and

•  similar shares of stock sell at multiples of 5.770 times earnings per share.

Now show that you get the same answer using the discounted dividend model.

a.  The stock price using the ​P/E ratio valuation method is

​$______​ (Round to the nearest​ cent.)

9. ​(Preferred stock​ valuation)  

You own100 shares of Somner​ Resources’ preferred​ stock, which currently sells for $22 per share and pays annual dividends of $3.50 per share. If the​ market’s required yield on similar shares is 14 percent, should you sell your shares or buy​ more?

a.  The value of the stock to you is

​$per share.  ​(Round to the nearest​ cent.)

b.  Should you sell your shares or buy​ more?

 
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