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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
1. Gomez Electronics needs to arrange financing for its expansion program. Bank A offers to lend Gomez the required funds on a loan in which interest must be paid at the end of each month, and the stated nominal rate is 12.00% per year. Bank B offers to lend Gomez the required funds on a loan in which interest is continuously compounded and the stated nominal rate is 11.95% per year. Bank C offers to lend Gomez the required funds on a loan in which interest must be paid semi-annually, and the stated nominal rate is 12.10% per year. Make sure that you show or explain all calculations.
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Jane is considering investing in three different stocks or creating three distinct two-
stock portfolios. Jane considers herself to be a rather conservative investor. She is able
to obtain forecasted returns for the three securities for the years 2010 through 2016.
The data are as follows:
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Year Stock A Stock B Stock C
2010 10% 10% 12%
2011 13 Â Â Â Â 11 Â Â Â Â 14
2012 15 Â Â Â Â 8 Â Â Â Â Â 10
2013 14 Â Â Â Â 12 Â Â Â Â 11
2014 16 Â Â Â 10 Â Â Â Â Â Â Â 9
2015 14 Â Â Â 15 Â Â Â Â Â Â Â Â 9
2016 12 Â Â Â 15 Â Â Â Â Â Â Â 10
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In any of the possible two-stock portfolios, the weight of each stock in the portfolio
will be 50%. The three possible portfolio combinations are AB, AC, and BC.
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a. Calculate the expected return for each individual stock.
b. Calculate the standard deviation for each individual stock.
c. Calculate the expected returns for portfolio AB, AC, and BC.
d. Calculate the standard deviations for portfolios AB, AC, and BC.
e. Would you recommend that Jane invest in the single stock A or the portfolio con-
sisting of stocks A and B? Explain your answer from a risk%u2013return viewpoint.
f. Would you recommend that Jane invest in the single stock B or the portfolio con-
sisting of stocks B and C? Explain your answer from a risk%u2013return viewpoint.
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