ข้อ 6-8
Q. Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have dicided to sell one of the stocks in your portfolio with a beta equal to 1.0 for $7,500 and to use these proceeds to buy another stock for your portfolio. Assume the new stock’s beta is equal to 1.75. Calculate your portfolio’s new beta
A. from equation beta = w1b1+w2b2+…..w20b20
“w” of each common stocks = 5% fraction of portfolio.
Sell one of stocks that b =1.0 and buy new stock that b = 1.75 Therefore, b different = 1.75-1.0
…. = 0.75
B different 0.75 will influence the portfolio beta only 5% , we can calculate new bela for the portfolio = 0.75*5%
…… = +0.04
New beta(bn) will equal 1.12+0.04 = 1.16
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