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Margaret [11]
3 years ago
5

In a portfolio of three randomly selected stocks, which of the following could NOT be true; i.e., which statement is false?

Business
1 answer:
Tpy6a [65]3 years ago
5 0

Answer: b. The beta of the portfolio is higher than the highest of the three betas

Explanation:

The beta of a portfolio is calculated as a weighted average of the individual betas of the individual stocks. As such, the highest individual beta will be the upper limit of the portfolios entire beta.

For instance.

3 stocks A, B and C have betas of 1, 1.3 and 2 respectively.

A has a weight of 1%, B has a weight of 1% and C has a weight of 98%.

The portfolio beta will be;

= (0.01 * 1 ) + ( 0.01 * 1.3) + ( 0.98 * 2)

= 1.98

Even if the stock with the highest beta had an advantage of weighing such a high figure, it it mathematically impossible for the portfolio beta to be higher than it.

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