You are following five different stocks and need to issue a recommendation (buy, hold, or sell) to your customers. The market return is 10 percent, with a standard deviation of 15 percent. The risk-free rate is 3 percent. The CAPM is assumed to hold.
Security |
Expected Return |
Standard Deviation |
Beta |
Recommendation |
---|---|---|---|---|
ABC |
15% |
19% |
1.6 |
|
RTS |
10% |
13% |
1.15 |
|
DKF |
8% |
10% |
0.65 |
|
OPL |
9% |
14% |
0.8 |
|
WEQ |
12% |
16% |
1.35 |
lets calculate the Alpha of the Each stock and if the alpha of the stock is positive than that stock should be purchase and if the Alpha of th stock is negative that stock should be sold off and iff the Alpha is equal to 0 so we should hold that stock:-
Alpha = Market Retrun - Return As Per CAPM
ABC
return as per CAPM = Rf+ beta*(Rm-Rf)
=3%+1.6*(10%-3%)
= 3%+ 11.2
= 14.2%
Alpha = 15%-14.2%
= 0.8%
this stock should Buy
RTS
return as per CAPM = 3%+1.15*(10%-3%)
= 3%+ 8.05%
= 11.05%
Alpha = 10%-11.05%
= -1.05%
this stock should be sold
DKF
return as per CAPM = 3%+0.65*(10%-3%)
= 3%+ 4.55%
= 7.55%
Alpha = 8%-7.55% = 0.45%
this stock should be buy.
OPL
return as per CAPM = 3%+0.8*(10%-3%)
= 3%+ 5.6%
= 8.6%
Alpha = 9%-8.6%
= 0.4%
this stock should be buy
WEQ
return as per CAPM = 3%+1.35*(10%-3%)
= 3%+ 9.45%
= 12.45%
Alpha = 12%-12.45%
= -0.45%
this stock should be sold
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