Evaluating Risk and Return-995709
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Evaluating Risk and Return
Bartman Industries
Reynolds Inc.
Winslow 5000
Year
Stock Price
Dividend
Stock Price
Dividend
Includes Dividends
2020
$17.35
$1.16
$49.25
$2.80
$11,006.20
2019
$14.70
$1.07
$53.20
$2.70
$8,463.89
2018
$16.50
$1.00
$49.25
$2.55
$8,354.95
2017
$10.75
$0.95
$58.25
$2.40
$6,268.43
2016
$11.52
$0.90
$61.80
$2.25
$5,533.19
2015
$7.62
$0.85
$57.05
$2.10
$4,625.87
a.
Calculating the annual rates of return for Bartman, Reynolds, and the Winslow 5000 Index
Year
Bartman
Reynolds
Winslow
2020
25.92%
-2.16%
30.04%
2019
-4.42%
13.50%
1.30%
2018
62.79%
-11.07%
33.29%
2017
1.56%
-1.86%
13.29%
2016
62.99%
12.27%
19.61%
Calculating each entity's average return over the 5-year period
Bartman
Reynolds
Winslow
Average return
29.77%
2.14%
19.51%
b.
Calculating the standard deviations of the returns for Bartman, Reynolds, and the Wiinslow 5000
Bartman
Reynolds
Winslow
Standard deviation
32.30%
10.50%
12.95%
c.
Calculating the coefficients of variation for Bartman, Reynolds, and the Wiinslow 5000
Bartman
Reynolds
Winslow
Coefficient of variation
1.09
4.92
0.66
d.
Calculating the Sharpe ratios for Bartman, Reynolds, and the Index using their average returns
Risk-free rate
3.00%
Bartman
Reynolds
Winslow
Sharpe ratio
0.8287
-0.0824
1.2746
e.
Constructing a scatter diagram that shows Bartman's and Reynolds's returns on the vertical axis and
the Winslow 5000 Index's returns on the horizontal axis
A
B
C
D
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f.
Estimating Bartman's and Reynolds's betas by running regressions of their returns against the index's returns
A
B
C
D
E
F
60
61
62
Bartman's Calculations
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.726648591936013
R Square
0.52801817616259
Adjusted R Square
0.37069090155012
Standard Error
0.256252960289425
Observations
5
ANOVA
df
SS
MS
F
Significance F
Regression
1
0.220385306315156
0.220385306315156
3.35617697225868
0.164343991837771
Residual
3
0.196996738971281
0.065665579657094
Total
4
0.417382045286437
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Intercept
-0.055879735399344
0.224452619983748
-0.248960049579238
0.819462935207227
-0.770188146577873
X Variable 1
1.81258110069832
0.989407095995772
1.8319871648728
0.164343991837771
-1.3361538563749
Reynolds's Calculations
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.750723356747679
R Square
0.563585558366504
Adjusted R Square
0.418114077822005
Standard Error
0.080078820732396
Observations
5
ANOVA
df
SS
MS
F
Significance F
Regression
1
0.024843760561501
0.024843760561501
3.87419964557318
0.143684802318065
Residual
3
0.019237852589674
0.006412617529891
Total
4
0.044081613151175
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Intercept
0.140061713546818
0.070141242849622
1.99685246306656
0.1397517121969
-0.08315902560797
X Variable 1
-0.608575965987938
0.309188831934347
-1.96829866777712
0.143684802318065
-1.59255282181239
Formulas
Bartman's beta
1.8126 =B81
Reynolds's beta
-0.6086 =B104
g.
Calculating the two companies' required returns
Market return
9.00%
Risk-free rate
4.50%
Bartman's required return
12.66% =B114+B109*(B113-B114)
Reynolds's required return
1.76% =B114+B110*(B113-B114)
h.
Calculating the portfolio's beta and required return
Bartman's weght
50%
Reynolds's weght
50%
Portfolio's beta
0.6020 =(B109+B110)/2
A
B
C
D
E
F
63
64
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66
67
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Portfolio's required return
7.21% =(B115+B116)/2
i.
Calculating the new portfolio's required return
Beta
Portfolio Weight
Bartman
1.813
30%
Stock A
0.730
15%
Stock B
0.981
30%
Stock C
1.435
25%
Portfolio's beta
1.3063 =(B126*C126)+(B127*C127)+(B128*C128)+(
Portfolio's required return
10.38% =B114+B131*(B113-B114)
A
B
C
D
E
F
122
123
124
125
126
127
128
129
130
131
132
Formulas
Bartman
Reynolds
=((B5+C5-B6)/B6)
=((D5+E5-D6)/D6)
=((B6+C6-B7)/B7)
=((D6+E6-D7)/D7)
=((B7+C7-B8)/B8)
=((D7+E7-D8)/D8)
=((B8+C8-B9)/B9)
=((D8+E8-D9)/D9)
=((B9+C9-B10)/B10)
=((D9+E9-D10)/D10)
Bartman
Reynolds
=SUM(B14:B18)/5
=SUM(C14:C18)/5
Bartman
Reynolds
=STDEV.S(B14,B15,B16
=STDEV.S(C14,C15,C16
Bartman
Reynolds
=B26/B22
=C26/C22
Bartman
Reynolds
=((B22-B33)/B26)
=((C22-B33)/C26)
G
H
I
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59
Upper 95%
Lower 95.0%
Upper 95.0%
0.658428675779185
-0.770188146577873
0.658428675779185
4.96131605777155
-1.3361538563749
4.96131605777155
Upper 95%
Lower 95.0%
Upper 95.0%
0.363282452701606
-0.08315902560797
0.363282452701606
0.37540088983651
-1.59255282181239
0.37540088983651
G
H
I
63
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2022
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2024
2025
2026
2027
ke
Dividend
$ 0.40
$ 0.44
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20244
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$4
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20264
20274 ket
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Risk-free rate of return
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$2.63
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$312.05
$0.95
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$275.76
$0.21
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$256.03
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92.3698
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72.4911
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77.3274
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67.2151
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129.373
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129.5615
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75.7721
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63.2982
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37.0968
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33.7237
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130.382
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101.034
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55.2593
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42.4533
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32.4915
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29.8203
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27.0584
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314.1174
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208.2559
2018
189.0534
2017
150.5511
2016
104.604
2015
120.0385
2014
92.2646
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67.5193
2012
82.2928
2011
52.0006
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72.4911
2014
77.3274
2013
75.3205
2012
67.2151
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54.3535
2010
53.0022
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2020
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129.373
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129.5615
2017
103.2572
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69.5865
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75.7721
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63.2982
2013
42.1856
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37.0968
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33.7237
2010
33.7203
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130.382
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101.034
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71.984
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42.4533
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Condensed Balance Sheets
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$1,021
1,935
$2,956
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1,734
$2,617
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$3,221
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1,607
1,022
$3,221
$ 845
1,070
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$2,956
$ 742
942
933
Total liabilities and stockholders' equity
$2,617
WIPER INC.
Selected Income Statement and Other Data
For the year Ended December 31, 2020 and 2819
(in millions)
2020
2019
Income statement data:
Sales
$3,965
311
99
236
$2,928
325
Operating income
Interest expense
Net income
Other data:
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231
48.2
S 53.8
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Year
Stock Return
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2018
2%
2017
20%
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2017
2018
2019
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-10%
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-8%
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Item
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$62.7
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Book Value (Common Stock Equity)
2.57
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Total Common Stock Outstanding
$4.98
Dividend Per Share
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$4
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- A stock ended 2019 at $28.80 per share and paid a $1.75 dividend per share in 2021. What is the holding period return if the stock ended 2021 at $38.80? 40.80% 34.72% -28.65% -30.28%arrow_forwardIntegrative—Risk and Valuation Given the following information for the stock of Foster Company, calculate the risk premium on its common stock. Current price per share of common stock $33.82 Expected dividend per share next year $1.12 Constant annual dividen growth rate 8.8% Risk-free rate of return 4.3%arrow_forwardManshukharrow_forward
- Faux Corp Stock Over the Last 10 years - Beta = 1.1 - Market Risk premium = 10% - Current risk-free rate 3% - Last dividend $5 - Current Stock Price $30 Dividend History 2016 - $4.20 2017 - $4.40 2018 - $4.55 2019 - $4.75 2020 - $5.00 Dividend Growth Rate = 17.83% 1. Calculate the Cost of Equity using DGMarrow_forwardFaux Corp Stock Over the Last 10 years - Beta = 1.1 - Market Risk premium = 10% - Current risk-free rate 3% - Last dividend $5 - Current Stock Price $30 Dividend History 2016 - $4.20 2017 - $4.40 2018 - $4.55 2019 - $4.75 2020 - $5.00 1. Calculate the dividend growth ratearrow_forwardYearEPSDividendChange 20130.75 20140.78 20150.81 20160.82 20170.85 20180.90 Payout Ratio:30% Required Rate of Return: 10% Current Stock Price P0:$5.00 1) Dividend amount in 2013: 2) Dividend CAGR: 3) 2019 Dividend: 4) Intrinsic value: 5) Compared to P0: 6) Required rate of return (solver or goal seek): The following table contains the six-year EPS history for Corporation X. The dividend payout ratio is 30%. 1) What is the dividend amount paid in 2013? 2) What is the compound growth rate (CAGR) of the dividend based on the dividend paid from 2013 - 2018? 3) Assume dividend is growing at the the compound growth rate of the dividend in 2019, what is the dividend per share paid in 2019? 4) Use dividend constant growth model, calculate the intrinsic value of the stock using a 10% required rate of return. 5) How does the calculated intrinsic value compare to the current stock price of $5? Use IF statement. 6) Use the Goal Seek or Solver option to find the required rate…arrow_forward
- Integrative—Risk and Valuation Given the following information for the stock of Foster Company, calculate the risk premium on its common stock. Current price per share of common stock $40.91 Expected dividend per share next year $3.12 Constant annual dividend growth rate 6.2% Risk-free rate of return 7.9% The risk premium on Foster stock is ____% (Round to two decimal places.)arrow_forwardThe following year-end price and dividend data was found for ABC Co: Year Closing Price Dividend 2020 $312.68 $2.63 2019 $309.44 $1.31 2018 $312.05 $0.95 2017 $275.76 $0.21 2016 $283.48 $0.86 2015 $256.03 $0.45 The arithmetic average rate of return over this period is:arrow_forwardO Below is the stock price and dividend history for No-Cameras-Allowed Inc. (NCA), a company organizing Las Vegas retreats for investment banks. Stock Price (end-of-year) Dividend (paid during the year) Year 2019 90 180 18 2020 2021 120 6. a. Compute the annual return in 2020 and 2021. b. Compute the arithmetic average return over the 2019–2021 period. c. Compute the geometric average return over the 2019–2021 period. d. You buy 2,000 shares of NCA at the end of 2019 and hold them through the end of 2021. You reinvest any dividends received (i.e., you use the dividend proceeds to buy more shares of NCA). Except for reinvestment of dividends, you neither buy nor sell any shares before the end of 2021. Which average, arithmetic or geometric, better captures your investment performance over the 2019–2021 period? Please provide a brief explanation for your answer. B Focus MacBook Proarrow_forward
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