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You hold a diversified portfolio consisting of $10,000 in each of 20 different common stocks (i.e., your total investment is $200,000). The portfolio beta is

You hold a diversified portfolio consisting of $10,000 in each of 20 different common stocks (i.e., your total investment is $200,000). The portfolio beta is 1.2. You have decided to sell one of your stocks whose beta is 0.7 for $10,000 (You may refer to this stock as "stock 2"). Calculate the beta of the remaining portfolio of 19 stocks.

Question options:

What is the beta estimate? What does it mean?

Question 18 options:

1)

0.4542; the stock is less than half as volatile as the market

2)

0.04542; the stock is not statistically significantly volatile because the p-value associated with the slope is zero

3)

5.49; the stock is very highly volatile compared to the market

4)

It is difficult to tell since beta estimate is not explicitly shown in the regression output.

2.

The following is a market model regression output. The dependent variable is Abbott Laboratories (ABT) and the explanatory variable is S&P 500 total return index. What proportion of the total variation in ABT is explained by the regression?

Regression Statistics

Multiple R

0.3341

R Square

0.1116

Adjusted R Square

0.1079

Standard Error

0.0560

Observations

242

ANOVA

df

SS

MS

F

P-value

Regression

1

0.0945

0.0945

30.1556

0.0000

Residual

240

0.7522

0.0031

Total

241

0.8467

Coeff.

Std. Err.

t Stat

P-value

Intercept

-0.0067

0.0036

-1.8253

0.0692

SPTR

0.4542

0.0827

5.4914

0.0000

At the 1 percent level of significance, the regression is statistically significant.

Question 17 options:

1)

Yes, because F statistic is greater than p-value

2)

Yes, because t statistic is greater than p-value

3)

Yes, because p-value is less than 1 percent

4)

No because p-value is zero

5)

No because the beta value is less than 1

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