You have observed the following returns over time A What are

You have observed the following returns over time:

A.) What are the required rates of return on stocks X and Y

B.) What is the required rate of return on a portfolio consisting of 80% of stock X and 20% of stock Y -If stock X\'s expected return is 22%, is stock X under or overvalued?

**Please show work in excel with formulas, I need to make a functioning workbook. Thanks!**

Year Stock X Stock Y Market
2009 14 % 13% 12%
2010 19 7 10
2011 -16 -5 -12
2012 3 1 1
2013 20 11 15

Solution

For Excel Formulas, see the link:

http://www.investopedia.com/articles/financial-theory/09/calculating-beta.asp

We need to calculate the beta for stock X and Y.

We need an assumption for risk free rate of return. I am assuming it to be 3%. Note, that the answers would depend a lot on this assumption.

So,

according to CAPM equation,

Required rate of return on stock X = 3 + 1.35 ( 5.2 - 3) = 5.9 %

Required rate of return on stock Y = 3 + 0.65 ( 5.2 - 3) = 4.4 %

Portfolio beta = 0.8 (1.35) + 0.2(0.65)

= 1.21

Thus, required rate of return on the portfolio

= 3 + 1.21 ( 5.2 - 3)

= 5.66%

b)

If the expected return of X = 22%, then the stock is highly undervalued as it lies above the Security market line.

Hope this helps. Ask if you have doubts.

Year Stock X Stock Y Market
2009 14 13 12
2010 19 7 10
2011 -16 -5 -12
2012 3 1 1
2013 20 11 15
Mean 8 5.4 5.2
Beta 1.35 0.65 1.00
You have observed the following returns over time: A.) What are the required rates of return on stocks X and Y B.) What is the required rate of return on a port

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