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Consider the following information regarding the performance of a money manager in a recent month. The...

Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.

Actual Return Actual Weight Benchmark Weight Index Return
Equity 2.1 % 0.7 0.5 2.6% (S&P 500)
Bonds 1.1 0.1 0.2 1.3 (Barclay’s Aggregate)
Cash 0.5 0.2 0.3 0.5

a-1. What was the manager’s return in the month? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)

The manager’s return in the month is %

a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)

Underperformed by %

b. What was the contribution of security selection to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)

Contribution of security selection %

c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)

Contribution of asset allocation %

In: Finance

Consider the following information regarding the performance of a money manager in a recent month. The...

Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.

Actual Return Actual Weight Benchmark Weight Index Return
Equity 2.6 % 0.5 0.4 3.1% (S&P 500)
Bonds 1.6 0.2 0.2 1.8 (Barclay’s Aggregate)
Cash 0.6 0.3 0.4 0.7

a-1. What was the manager’s return in the month? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)

a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)

b. What was the contribution of security selection to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)

c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)

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How to compute the question (b)? And why it isn't 6C2·0.3^2·0.7^4? The probability that Jim goes...

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The probability that Jim goes to work by taxi is 0.3. He works 6 days in a week.

(a) Find the probability that Jim goes to work by taxi in at least 3 days in a week given that
(i) he goes to work by taxi for at most 4 days,
(ii) he goes to work by taxi for more than 1 day.
(b) Find the probability that Jim goes to work by taxi in exactly 2 consecutive mornings.

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How to compute the question (b)? And why it isn't 6C2·0.3^2·0.7^4? The probability that Jim goes...

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The probability that Jim goes to work by taxi is 0.3. He works 6 days in a week.

(a) Find the probability that Jim goes to work by taxi in at least 3 days in a week given that
(i) he goes to work by taxi for at most 4 days,
(ii) he goes to work by taxi for more than 1 day.
(b) Find the probability that Jim goes to work by taxi in exactly 2 consecutive mornings.

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Select one: a. 1.43 b. 1.6 c. 3.33 d. 4

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Distance

3.4    1.8     4.6    2.3     3.1    5.5     0.7   3.0     2.6    4.3     2.1   1.1     6.1    4.8

Damage

26.2 17.8 31.3 23.1 27.5 36.0 14.1 22.3 19.6 31.3 24.0 17.3 43.2 36.4

  1. Is the predictor distance significant? What is the test statistic and p value?
  2. What is the amount of variation explained in the model?
  3. What is the standard error of the estimated regression line?
  4. Use the final regression equation to predict the damage caused by the fire that is 6.5 miles away from the nearest station.

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A clinic took temperature readings of 250 flu patients over a weekend and discovered the temperature distribution to be Gaussian, with a mean of 101.30 °F and a standard deviation of 0.8450 °F.

Use this normal error curve area table to calculate each value.

a) What is the fraction of patients expected to have a fever greater than 103.50 °F?

fraction above 103.50 °F: _____________

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fraction between 100.46 °F and 102.06 °F: _____________

Normal Error Curve

Ordinate and Area for a Normal Error Curve
|z| y Area
0.0 0.3989 0.0000
0.1 0.3970 0.0398
0.2 0.3910 0.0793
0.3 0.3814 0.1179
0.4 0.3683 0.1554
0.5 0.3521 0.1915
0.6 0.3332 0.2258
0.7 0.3123 0.2580
0.8 0.2897 0.2881
0.9 0.2661 0.3159
1.0 0.2420 0.3413
1.1 0.2179 0.3643
1.2 0.1942 0.3849
1.3 0.1714 0.4032
1.4 0.1497 0.4192
1.5 0.1295 0.4332
1.6 0.1109 0.4452
1.7 0.0941 0.4554
1.8 0.0790 0.4641
1.9 0.0656 0.4713
2.0 0.0540 0.4773
2.1 0.0440 0.4821
2.2 0.0355 0.4861
2.3 0.0283 0.4893
2.4 0.0224 0.4918
2.5 0.0175 0.4938
2.6 0.0136 0.4953
2.7 0.0104 0.4965
2.8 0.0079 0.4974
2.9 0.0060 0.4981
3.0 0.0044 0.498650
3.1 0.0033 0.499032
3.2 0.0024 0.499313
3.3 0.0017 0.499517
3.4 0.0012 0.499663
3.5 0.0009 0.499767
3.6 0.0006 0.499841
3.7 0.0004 0.499904
3.8 0.0003 0.499928
3.9 0.0002 0.499952
4.0 0.0001 0.499968
0 0.5

z = (x – μ)/σ
The area refers to the area between z = 0 and z = the table value.

In: Statistics and Probability