1. Suppose you have n risky assets you can combine in a portfolio. Each risky asset has an expected return of 8% and a standard deviation of 30%. The risky assets are uncorrelated with each other. (a) Consider an equally weighted portfolio of 2 of these securities. What is its expected return? What will its standard deviation be? (b) Consider an equally weighted portfolio of 30 of these securities. What is its expected return? What will its standard deviation be? (c) Suppose we let the number of these securities increase without bound. That is, n → ∞o. What happens to the standard deviation of an equally weighted portfolio of these securities as the number of assets in the portfolio becomes extremely large? What will the riskless rate be in this case, and why?

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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1. Suppose you have n risky assets you can combine in a portfolio. Each risky asset has an expected
return of 8% and a standard deviation of 30%. The risky assets are uncorrelated with each other.
(a) Consider an equally weighted portfolio of 2 of these securities. What is its expected return?
What will its standard deviation be?
(b) Consider an equally weighted portfolio of 30 of these securities. What is its expected
return? What will its standard deviation be?
(c) Suppose we let the number of these securities increase without bound. That is, n→ ∞o.
What happens to the standard deviation of an equally weighted portfolio of these
securities as the number of assets in the portfolio becomes extremely large? What will the
riskless rate be in this case, and why?
-int
IDE
Transcribed Image Text:1. Suppose you have n risky assets you can combine in a portfolio. Each risky asset has an expected return of 8% and a standard deviation of 30%. The risky assets are uncorrelated with each other. (a) Consider an equally weighted portfolio of 2 of these securities. What is its expected return? What will its standard deviation be? (b) Consider an equally weighted portfolio of 30 of these securities. What is its expected return? What will its standard deviation be? (c) Suppose we let the number of these securities increase without bound. That is, n→ ∞o. What happens to the standard deviation of an equally weighted portfolio of these securities as the number of assets in the portfolio becomes extremely large? What will the riskless rate be in this case, and why? -int IDE
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