In: Finance
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% | 
| 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 | 
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