Question

	Stock A:		Stock B:		Market Index
	Stock Price	Dividend	Stock Price	Dividend
2016	$25.88	$1.73	$73.13	$4.50	$17.09
2015	$22.93	$1.59	$78.45	$4.35	$13.27
2014	$24.75	$1.50	$73.13	$4.13	$13.01
2013	$16.13	$1.43	$85.88	$3.75	$9.96
2012	$17.16	$1.35	$90.00	$3.38	$8.40
2011	$11.44	$1.28	$86.33	$3.00	$7.05

1. Use the data given to calculate annual returns for Stock A, Stock B, and the Market Index, and then calculate average annual returns for the two stocks and the index. (Hint: Remember, returns are calculated by subtracting the beginning price from the ending price to get the capital gain or loss, adding the dividend to the capital gain or loss, and then dividing the result by the beginning price. Assume that dividends are already included in the index. Also, you cannot calculate the rate of return for 2011 because you do not have 2010 data.)
2. Calculate the standard deviations of the returns for Stock A, Stock B, and the Market Index. (Hint: Use the sample standard deviation formula given in the chapter, which corresponds to the STDEV function in Excel.)
3. What dividends do you expect for Stock A over the next three years if you expect the dividend to grow at the rate of 3% per year for the next three years? In other words, calculate D1, D2, and D3. Note that D0 = $1.50.
4. Assume that Stock A has a required return of 13%. You will use this required return rate to discount the dividends calculated earlier. If you plan to buy the stock, hold it for three years, and then sell it for $27.05, what is the most you should pay for it?

Answer 1

1.

Stock A return for 2012=((17.16-11.44)+1.35)/11.44=61.8%

Similarly stock's return for 2012=((90-86.33)+3)/86.33=8.17%

Index return for 2012=(8.4-7.05)/7.05=19.15%

Similarly, return all other year's are given below:

Year	Stock A Price	Dividend	Stock A return	Stock B price	Dividend	Stock B return	Index	Index Return
2016	25.88	1.73	20.41%	73.13	4.5	-1.05%	17.09	28.79%
2015	22.93	1.59	-0.93%	78.45	4.35	13.22%	13.27	2.00%
2014	24.75	1.5	62.74%	73.13	4.13	-10.04%	13.01	30.62%
2013	16.13	1.43	2.33%	85.88	3.75	-0.41%	9.96	18.57%
2012	17.16	1.35	61.80%	90	3.38	8.17%	8.4	19.15%
2011	11.44	1.28		86.33	3		7.05

2. Hence, by using the stdev formula in excel standard deviation for stock A, B and index are 31.2%,9% and 11.37% respectively.

3. If D0=1.5, then D1=1.5*1.03=$1.545, D2=1.5*1.03^2=$1.591 and D3=1.5*1.03^3=$1.639

4. The amount you should pay= 27.05/(1+13%)^3=$18.74