B eBook Problem 6-09 As chief investment officer of a small endowment fund, you are considering expanding the fund's strategic asset allocation from just common stock (CS) and fixed-income (FI) to include private real estate partnerships (PR) as well: Current Allocation: 60 percent of Asset CS, 40 percent of Asset FI Proposed Allocation: 45 percent of Asset CS, 25 percent of Asset FI, 30 percent of Asset PR You also consider the following historical data for the three risky asset classes (CS, FI, and PR) and the isk-free rate (RFR) over a recent investment period: Asset Class CS E(R) 8.1% σ 16.4% CS 1.0 rij: FI PR

Personal Finance
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Chapter15: Mutual And Exchange Traded Funds
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Problem 6-09
As chief investment officer of a small endowment fund, you are considering expanding the fund's
strategic asset allocation from just common stock (CS) and fixed-income (FI) to include private real
estate partnerships (PR) as well:
Current Allocation: 60 percent of Asset CS, 40 percent of Asset FI
Proposed Allocation: 45 percent of Asset CS, 25 percent of Asset FI, 30 percent of Asset PR
You also consider the following historical data for the three risky asset classes (CS, FI, and PR) and the
risk-free rate (RFR) over a recent investment period:
Asset Class
CS
FI
PR
RFR
E(R)
%
8.1%
0
16.4%
8.3
11.2
CS
1.0
0.3
0.7
rij:
FI
1.0
5.1
6.7
3.5
You have already determined that the expected return and standard deviation for the Current Allocation
are: E(Rcurrent) = 6.90 percent and current = 11.289 percent.
a. Calculate the expected return for the Proposed Allocation. Round your answer to two decimal places.
6.93
b. Calculate the standard deviation for the Proposed Allocation. Do not round intermediate calculations.
Round your answer to two decimal places.
8.37%
%
c. For both the Current and Proposed Allocations, calculate the expected risk premium per unit of risk
(that is, [E(R₂) - RFR]/o). Do not round intermediate calculations. Round your answers to three
decimal places.
Current Allocation:
PR
0.2
1.0
Proposed Allocation:
d. Using your calculations from part (c), explain which of these two portfolios is the most likely to fall on
the Markowitz efficient frontier.
The -Select-
is the most likely to fall on the Markowitz efficient frontier.
Transcribed Image Text:eBook Problem 6-09 As chief investment officer of a small endowment fund, you are considering expanding the fund's strategic asset allocation from just common stock (CS) and fixed-income (FI) to include private real estate partnerships (PR) as well: Current Allocation: 60 percent of Asset CS, 40 percent of Asset FI Proposed Allocation: 45 percent of Asset CS, 25 percent of Asset FI, 30 percent of Asset PR You also consider the following historical data for the three risky asset classes (CS, FI, and PR) and the risk-free rate (RFR) over a recent investment period: Asset Class CS FI PR RFR E(R) % 8.1% 0 16.4% 8.3 11.2 CS 1.0 0.3 0.7 rij: FI 1.0 5.1 6.7 3.5 You have already determined that the expected return and standard deviation for the Current Allocation are: E(Rcurrent) = 6.90 percent and current = 11.289 percent. a. Calculate the expected return for the Proposed Allocation. Round your answer to two decimal places. 6.93 b. Calculate the standard deviation for the Proposed Allocation. Do not round intermediate calculations. Round your answer to two decimal places. 8.37% % c. For both the Current and Proposed Allocations, calculate the expected risk premium per unit of risk (that is, [E(R₂) - RFR]/o). Do not round intermediate calculations. Round your answers to three decimal places. Current Allocation: PR 0.2 1.0 Proposed Allocation: d. Using your calculations from part (c), explain which of these two portfolios is the most likely to fall on the Markowitz efficient frontier. The -Select- is the most likely to fall on the Markowitz efficient frontier.
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