Reference no: EM131945668
Financial Concepts Portfolio Theory, CAPM Homework
For this exercise, you might want to copy and paste the table into Excel and then do all your calculations on that spreadsheet.
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Rate of Return
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Year
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Asset A
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Asset B
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Market
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1
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20.0%
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19.0%
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9.0%
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2
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-11.0%
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22.0%
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12.0%
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3
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10.0%
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-6.0%
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6.0%
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4
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-9.0%
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-14.0%
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-4.0%
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5
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21.0%
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28.0%
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17.0%
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1) Calculate the expected returns for Asset A, Asset B and the Market (use Average function in Excel)
Asset A =
Asset B =
Market =
2) Calculate the standard deviation of returns, ?, for each asset (use STDEVP function)
Asset A =
Asset B =
Market =
3) Calculate the correlation, ρ, between Asset A and Asset B (use CORREL function in Excel)
ρ =
4) Calculate the expected returns from the following portfolios:
Use the following formula to calculate the portfolio standard deviation
σP =√ (wAσA)2 + (wBσB)2 +(2 wA wB σA σB ρ(A,B))
=(((wA*σA) ^ 2) + ((wB *σB) ^2)+(2 *wA* wB *σA *σB *ρ(A,B))))^.5
Where wA and wB are the % of assets in Asset A and B respectively σA and σB are the respective standard deviations of return and ρ(A,B)).is the correlation of returns between asset A and B
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Portfolio Expected Return
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Portfolio Std Dev.
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% Asset A
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% Asset B
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0%
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100%
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|
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25%
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75%
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50%
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50%
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75%
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25%
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|
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100%
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0%
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5) Using Portfolio Expected Returns on the Y axis and Portfolio Standard Deviation in the X axis, draw the efficient frontier for possible portfolio combinations of Asset A and B. (include 100% A and 100% B as two possibilities). Hint: Use the Excel Chart Wizard and select the XY(scatter) plot option)
6) Calculate Beta for Asset A (relative to the Market) and Asset B relative to the Market) (use SLOPE function)
Beta for Asset A =
Beta for Asset B =
7) Assume that for next year the Risk Free Rate is expected to be 2% and that the overall Market will realize a return of 12%. Using the CAPM / SML methodology, calculate the required returns for Asset A and Asset B.
Required Return for Asset A =
Required Return for Asset B =
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