Ou want to form a portfolio of stock a and stock b. stock a has a beta of .85 and stock b has a beta of 1.6. if you invest $6,000 in stock a and $4,000 in stock b, what is the portfolio beta?

Respuesta :

The portfolio beta, in this case, is 1.15 since it is a weighted average of the individual betas.

Including closed-end funds and exchange-traded funds, a portfolio is a collection of financial investments such as stocks, bonds, commodities, cash, and cash equivalents (ETFs). Most people think that a portfolio core consists of bonds, equities, and cash.

A weighted average of the betas of the different equities makes up the portfolio beta, as was previously explained.

As a result, it is calculated as:

= (Beta of stock A x Weight of stock A) + (Weight of stock B x Beta of stock B)

How to solve:

= (6,000 / (6,000 + 4,000) x 0.85) + (4,000 / (6,000 + 4,000) x 1.6)

= 0.51 + 0.64

= 1.15

The portfolio beta is 1.15, to sum up.

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