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 Use the data given to calculate annual returns for Stock A, Stock B, and...

Free

70.2K

Verified Solution

Question

Finance

StockA:StockB:MarketIndex
Stock PriceDividendStock PriceDividend
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 tocalculate annual returns for Stock A, Stock B, and the MarketIndex, and then calculate average annual returns for the two stocksand the index. (Hint: Remember, returns are calculated bysubtracting the beginning price from the ending price to get thecapital gain or loss, adding the dividend to the capital gain orloss, and then dividing the result by the beginning price. Assumethat dividends are already included in the index. Also, you cannotcalculate the rate of return for 2011 because you do not have 2010data.)
  2. Calculate the standarddeviations of the returns for Stock A, Stock B, and the MarketIndex. (Hint: Use the sample standard deviation formula given inthe chapter, which corresponds to the STDEV function inExcel.)
  3. What dividends do you expectfor Stock A over the next three years if you expect the dividend togrow at the rate of 3% per year for the next three years? In otherwords, calculate D1, D2, and D3. Note that D0 = $1.50.
  4. Assume that Stock A has arequired return of 13%. You will use this required return rate todiscount the dividends calculated earlier. If you plan to buy thestock, hold it for three years, and then sell it for $27.05, whatis the most you should pay for it?

Answer & Explanation Solved by verified expert
4.2 Ratings (792 Votes)

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


Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students