CAPM...one of the popular investment theory to compute the rate of return (Required Rate of Return, but sometimes also refer to Expected Rate of Return). Hence, the minimum requirement to invest is when RRR=ERR or ERR=RRR.
CAPM derived from RRR=RFR + (RM-RFR)Beta i
where: RRR = Required Rate of Return
RFR = Risk Free Rate ...e.g instrument like Treasury Bill
RM = Market Risk or Market Return
(RM-RFR) = Risk Premium
Beta i = degree of tendency in risk or return of asset i as compared to the market
Assume, Stock CMC has beta 0.5, risk free rate is 10%, the market risk 12%, so the required rate of return for Stock CMC = 10% + (12% - 10%)0.5 =11%.
Let say, if the Expected Return for CMC is 8%, the investor should not buy the stock since it is over-valued.
As a conclution, the CAPM is designed to help investor to derive their required rate of return before make any investment decisions. Always remember that, the best situation to invest is when ERR is bigger than RRR or at least ERR equal to RRR.
Key Words: ERR > RRR Under-value GOOD
ERR = RRR Fair-value GOOD
ERR < RRR Over-value NOT GOOD
The same CAPM theory also apply to portfolio, in this case the formula is;
RRRp = RFR + (RM - RFR) Beta portfolio
where; Beta portfolio = sum of Wi X Bi ; Wi = weighted allocation for asset i, Bi = Beta asset i.
Assume that, you have a portfolio consist of two assets, Stock A and Stock B, the information shown bellow.
Weighted Beta asset
Stock A 0.3 1
Stock B 0.7 0.5
Therefor, Beta portfolio = (0.3)(1) + (0.7)(0.5) = 0.65
if, risk free rate is 12% and market risk at 16%, the RRR for your portfolio will be 14.6%.
[RRRp = 12% + (16% -12%)0.65 = 14.6%]
EXERCISE;
1. Find RRR and make the decision for Stock A, Stock B, Stock C and Sock D based on the information given
bellow.
ASSET BETA ERR
Stock A 0.5 10%
Stock B 0.7 12%
Stock C 1.2 20%
Stock D 1.0 15%
the required rate of return is 10% and market risk is 14%.
2. Now you are about to form a portfolio based on information in question 1. The weighted ratio for each asset is 0.2:0.2:0.4 and 0.2. Find the RRRportfolio.
End of lesson...TQVM see ya again.
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