Question: Use the following data to explore the risk-return relation and the concept of beta for Apple stock, Kroger stock, and the S&P 500 market index:

Use the following data to explore the risk-return relation and the concept of beta for Apple stock, Kroger stock, and the S&P 500 market index:

Year

Apple Stock Price

Kroger Stock Price

S&P 500 Market Index

2020

$252.92

$30.71

3,234.85

2019

$156.23

$27.66

2,531.94

2018

$169.23

$27.32

2,753.15

2017

$125.17

$29.52

2,276.98

2016

$108.41

$31.80

2,043.94

2015

$112.98

$33.37

2,058.20

Part 1: Risk and Beta

  1. Calculate the return each year for Apple, Kroger, and the Market using the equation:

Return = (Value this year – Value last year) / Value last year. In addition, use the Excel function “Average” to find the average of the returns.

Year S&P 500 Market Index Returns 8 A) Rates of return 9 0 -1 2 23 -4 Apple Returns 2020 2019 2018 2017 2016 Kroger Returns 6 

  1. Calculate the standard deviation of rates of return for Apple, Kroger, and the Market using the “Stdev” Excel function.

30 31 B) Standard Deviation of Returns 32 33 Apple Standard Deviation of Returns 34 28.9% 35 or Kroger Standard Deviation of 

  1. HOW DO YOU DO THIS?? Make a scatter plot of stock returns (y-axis) against market returns (x-axis) for both Apple and Kroger stock in one plot. Add a linear trend line to the scatter plot for each stock and include the equation on the chart (Select data point and right click then select "add trendline" and choose a "linear" trend and select "display equation on chart"). Label the y-axis, x-axis, legend, and chart title.
  1. CAN YOU HELP?? For each stock, use the Excel function “Correl” to calculate the correlation between the stock returns and market returns. Furthermore, copy the standard deviations from above (by cell reference) and calculate the beta according to the equation: Beta = (Standard deviation of stock / Standard deviation of market) (Correlation between stock and market).

Correlation Stock Standard Deviation (in decimal form) Market Standard Deviation (in decimal form) Beta 57 D) Beta 58 59 60 6

F.If you formed a portfolio that consisted of 60% Apple stock and 40% Kroger stock, calculate the beta.

80 F) Portfolio Beta 81 82 Beta Portfolio Weight 83 Apple Kroger 84 85 Portfolio Beta 86 87

G. . Calculate the portfolio beta of the four-stock portfolio and the required return on the portfolio.

89 G) Required Portfolio Return 90 91 Beta Portfolio Weight 92 93 Apple Kroger Stock D Stock C 25% 15% 40% 20% 94 1.52 1.42 9 

8 A) Rates of return 9 Year Apple Returns Kroger Returns S&P 500 Market Index Returns 21 2020 61.9% 11.0% 27.8% -2 -3 2019 -7.7% 1.2% -8.0% 2018 35.2% -7.5% 20.9% 24 2017 15.5% -7.2% 11.4% 5 2016 -4.0% -4.7% -0.7% 26 27 28 BETA 1.895130563 0.153292786 Average Returns 48.4% -1.4% 10.3%

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