Respuesta :
Answer:
The answer is "1.75"
Explanation:
The portfolio is equally weighted with three parts, which each weighs 33,33%. The risk-free asset (Rf) is available worldwide and beta 0 is given for the market portfolio.
[tex]Return \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Beta \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Probability (Pi)\\\\\text{Risk free Return (Rf)} \ \ \ \ \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 33.33\%\\\\Stock 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1.25 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 33.33\%\\\\Stock 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ? \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 33.33\%\\\\[/tex]
[tex]\text{Portfolio Beta = (Pi Rf * Beta Rf) + (Pi Stock1 * Beta Stock1) + (Pi Stock2 * Beta Stock2)}\\\\1 = (33.33\% \times 0) + (33.33\% \times 1.25) + (33.33\% \times x)\\\\1 = 0 + 0.416625 + 0.3333x\\\\1 - 0.416625 = 0.3333x\\\\0.583375 = 0.3333x\\\\x =\frac{0.583375}{0.3333}\\\\x = 1.75[/tex]
