Question

Problem 6-14
Historical Returns: Expected and Required Rates of Return

You have observed the following returns over time:

Year	Stock X	Stock Y	Market
2012	15%	12%	12%
2013	18	8	9
2014	-14	-3	-14
2015	4	1	1
2016	20	12	18

Assume that the risk-free rate is 3% and the market risk premium is 7%. Do not round intermediate calculations.

1. What is the beta of Stock X? Round your answer to two decimal places.
   
   
2. What is the beta of Stock Y? Round your answer to two decimal places.
   
   
3. What is the required rate of return on Stock X? Round your answer to one decimal place.
   %
   
4. What is the required rate of return on Stock Y? Round your answer to one decimal place.
   %
   
5. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Round your answer to one decimal place.
   %

Answer 1

1.
1.1107  

2.
0.5223

3.
10.7747%

4.
6.6559%

5.
=80%*10.7747%+20%*6.6559%=9.9509%

Year	Stock X	Stock Y	Market	X-Rf	Y-Rf	Market-Rf
2012	15%	12%	12%	12.00%	9.00%	9.00%
2013	18%	8%	9%	15.00%	5.00%	6.00%
2014	-14%	-3%	-14%	-17.00%	-6.00%	-17.00%
2015	4%	1%	1%	1.00%	-2.00%	-2.00%
2016	20%	12%	18%	17.00%	9.00%	15.00%
Beta	1.1107	0.5223
Required rate of return	10.7747%	6.6559%
Required return on Portfolio	9.9509%