Evaluating Investment Performance Assignment 1
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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%
0.70
0.60
2.5% (S&P 500)
Bonds
1
0.20
0.30
1.2 (Barclay’s
Aggregate)
Cash
0.5
0.10
0.10
0.5
Required:
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.)
Explanation
a.
Bogey: (0.60 × 2.5%) + (0.30 × 1.2%) + (0.10 × 0.5%) =
1.91%
Actual: (0.70 × 2.0%) + (0.20 × 1.0%) + (0.10 × 0.5%) =
1.65
Under
performance:
0.26%
b.
Security Selection:
Market
(1) Differential
Return within Market
(Manager − Index)
(2) Manager's
Portfolio Weight
(3) = (1) × (2)
Contribution to
Performance
Equity
−0.5%
0.70
−0.35%
Bonds
−0.2
0.20
−0.04
Cash
0.0
0.10
0.00
Contribution of security selection:
−0.39%
c.
Asset Allocation:
Market
(1)
Excess Weight
(Manager − Benchmark)
(2)
Index Return
(3) = (1) × (2)
Contribution to
Performance
Equity
0.10
2.5%
0.25%
Bonds
−0.10
1.2
−0.12
Cash
0.00
0.5
0.00
Contribution of asset allocation:
0.13%
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The table presents 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 indexes in column (4).
(1) (2) (3) (4)
Actual Actual Benchmark Index
Return Weight Weight Return
Equity 16% 80% 60% 10%
Bonds 9% 15% 35% 7%
Cash 3% 5% 5% 1%
What was the manager's return in the month?
What was the benchmark's return in the month?
Did the manager over or under perform the benchmark?
a. Over perform
b. Under perform
c. Equal performance
d. Cannot tell from the information given
e. None of the above
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The table presents 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 indexes in column (4).
1
2
2
4
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Consider the following information regarding the performance of a money manager. The table presents 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 allocation in column (3), and the returns of the sector indexes in column 4.
(1) Actual return
(2) actual weight
(3) Benchmark Weight
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0.60
0.6
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4
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Relarn
1%
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2%
1.5%
0.75%
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0.50
0.30
0.20
weight
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0.30
0.40
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0.70
7.28%
5.0960%
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20
15
20-150
540 15 20
-10-
--15-
Asset A
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20
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Publisher:Mcgraw-hill Education,
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Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
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Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
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Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
ISBN:9780077861759
Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:McGraw-Hill Education