Principles of Finance · free preview

Risk and Return of Multiple Assets

A portfolio's expected return is the weighted average of its assets' expected returns, but its risk is less than the weighted average of asset risks whenever correlations fall below one, so diversification removes risk without sacrificing expected return.

1. The portfolio's expected return

The portfolio's expected return

2. The covariance machinery

The covariance machinery

3. Diversification and the asset count

Diversification and the asset count

4. The opportunity set and the efficient frontier

The opportunity set and the efficient frontier

5. The portfolio expected return

A portfolio holds 60 percent in an asset expected to return 10 percent and 40 percent in one expected to return 5 percent. What is the portfolio's expected return?

6. Diversification's source

What allows a portfolio's risk to fall below the weighted average of its assets' risks?

7. The two-stock computation

Two stocks each have 20 percent standard deviation and are held equally, with correlation 0.3. Approximately what is the portfolio standard deviation?

8. Why twenty to thirty assets suffice

Why does diversification's benefit largely flatten beyond twenty to thirty well-chosen assets?

9. Unsystematic versus systematic

Which statement correctly distinguishes the two risk components?

10. The frontier's bow

Why does the two-asset opportunity set bow toward the upper left when correlation is below one?

11. The cross term's driver

In the two-asset portfolio variance formula, what Greek letter names the correlation driving the cross term? Write the letter.

12. The undiversifiable risk's name

What two-word term names the market-wide risk that no portfolio can remove? Answer in lowercase.

13. The boundary's name

What two-word term names the upper-left boundary of the opportunity set, the portfolios with the most return for each risk level? Answer in lowercase.

14. The diversifiable component

What two-word term names the firm-specific risk that averaging across assets cancels? Answer in lowercase.

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