Question

In: Finance

Use the following data to explore the risk-return relation and the concept of beta for Apple...

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

Year

Apple Stock Price

Alphabet Stock Price

S&P 500 Market Index

2017

$174.09

$1,072.01

2,601.42

2016

$115.82

$807.80

2,238.83

2015

$105.26             

$765.84

2,043.94

2014

$113.99

$521.51

2,058.90

2013

$80.01

$559.76

1,848.36

2012

$72.80

$358.17

1,426.19

Market risk premium: RPM = 4.01%
Risk-free rate: rRF = 1.30%
  1. Calculate the portfolio beta of the four-stock portfolio and the required return on the portfolio (9 Points) ***Please Provide the Excel Functions
Beta Portfolio Weight
Apple 25%
Stock A 0.77 15%
Stock B 0.99 40%
Stock C 1.42 20%
100%
Portfolio Beta =
Risk-free rate Market Risk Premium Portfolio Beta Required Return on Portfolio

Solutions

Expert Solution

Beta of Apple = 0.086

Portfolio Beta = 0.086 * 0.25 + 0.77 * 0.15 + 0.99 * 0.40+1.42 * 0.2 = 0.817 Answer

Using CAPM,

Required Return on Apple = 1.3 +4.01* 0.086 = 1.64486

Required Return on Stock A = 1.3 +4.01 * 0.77 = 4.3877

Required Return on Stock B = 1.3 +4.01 * 0.99 = 5.2699

Required Return on Stock C = 1.3 +4.01 * 1.42 = 6.9942

Required Return on Portfolio = 1.64486 * 0.25 + 4.3877* 0.15 + 5.2699* 0.40+6.9942* 0.2 = 4.58 % Answer

Risk Free Rate = 1.3% Answer

Market Risk Premium = 4.01% Answer

Kindly inform me in case you have any queries.

A B C D 3 Year Apple S&P 500 Market 2017 174.09 2601.42 2016 115.82 2238.83 2015 105.26 2043.94 2014 113.99 2058.9 2013 80.01 1848.36 2012 72.8 1426.19 Considering it as a sample. Beta of Apple = Covariance(Apple, Market)/ Variance (Market) 14 Covariance Of (Apple,Market)= 13156.73819 =COVARIANCE.S(B4:B9,04:09) Answer Variance (Market)= 153700.7593 =VAR.S(C4:09) Answer 15 16 17 Beta of Apple= 0.0856 =D14/C15 Answer 18 19


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