An Investment Firm Has Classified Its Clients According to Their

question 89

Essay

An investment firm has classified its clients according to their gender and the composition of their investment portfolios (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various categories are shown in the following table:
Portfolio Composition $$\begin{array} { | l | c | c | c | } \hline \text { Gender } & \text { Bonds } & \text { Stocks } & \text { Balanced } \\\hline \text { Male } & 0.18 & 0.20 & 0.25 \\\hline \text { Female } & 0.12 & 0.10 & 0.15 \\\hline\end{array}$$ One client is selected at random, and two events A and B are defined as follows:
A: The client selected is male.
B: The client selected has a balanced portfolio.
Are A and $\bar {B }$ independent events? Explain.

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Definitions:

Local Currency Returns

The return on an investment denominated in the currency of the country where the security is issued, ignoring the effects of foreign exchange fluctuations.

Correlation

A statistical measure showing how two securities move in relation to each other.

Composite Risk Rating

An assessment tool that combines multiple risk factors into a single overarching rating to simplify decision-making.

PRS

Political Risk Services; a measure assessing the risk of investing in a country, including factors like government stability and conflict likelihood. If the term was intended to signify something else without context, then NO.