The beta of a portfolio is a weighted average of the betas of the individual assets it contains.

Calculating the portfolio beta allows investors to measure the systematic risk exposure of their overall

portfolio.

The formula for calculating a portfolio's beta is:

$\backslash$beta portfolio $=\backslash$Sigma $($wi $*\backslash$beta i$)$

Where:

wi $=$ weight of asset i in the portfolio

$\backslash$beta i $=$ beta of asset i

Question:

An investor holds a portfolio consisting of the following assets and weights:

Asset A: $30\%$ weight with beta of $0\mathrm{.}8$

Asset B: $25\%$ weight with beta of $1\mathrm{.}2$

Asset C: $45\%$ weight with beta of $1\mathrm{.}5$

What is the overall beta for this portfolio?

a$)1\mathrm{.}0$

b$)1\mathrm{.}17$

c$)1\mathrm{.}23$

d$)1\mathrm{.}35$