year A 2016 10.25% 2017 -8.56% 12.33% 14.67% 2018 20.25% 5.45% 2019 14.25% -4.80% -4.80% 2020 5.78% 15.67% B C D 14.67% 25.77% 5.89% E 23.34% 8.65% -4.78% 10.56% -0.98% -0.98% 9.07% 30.34% 30.34% 10.45% 16.34% -5.88% -5.78% 23.12%

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question

You are a portfolio manager at PT. Sukses Selalu Sekuritas. You manage a portfolio of 5 stocks: A, B, C, D, and E. The following table provides the stocks return for the last 5 years:

  1. Calculate the Expected Return and Standard Deviation of each stock.

  2. Without any inclusion of risk-free assets in the formation of the portfolios, what is

    the assets proportion of the minimum variance and maximum return portfolios?

  3. Calculate the expected return and standard deviation for both portfolios.

  4. Suppose there is a risk-free asset with a 5% return and a condition in which short

    sales are allowed, whilst both the borrowing and lending can be obtained at a risk- free rate. What would be the new portion of each asset, including risk-free assets for the maximum return portfolio? Calculate the portfolio’s expected return and its standard deviation.

year
A
В
C
D
E
2016
10.25% 14.67% 25.77% 5.89%
23.34%
2017
-8.56% 12.33% 14.67% 8.65%
-4.78%
2018
20.25% 5.45%
10.56% -0.98% 9.07%
2019
14.25% -4.80%
30.34% 10.45% 16.34%
2020
5.78%
15.67% -5.88%
-5.78% 23.12%
Transcribed Image Text:year A В C D E 2016 10.25% 14.67% 25.77% 5.89% 23.34% 2017 -8.56% 12.33% 14.67% 8.65% -4.78% 2018 20.25% 5.45% 10.56% -0.98% 9.07% 2019 14.25% -4.80% 30.34% 10.45% 16.34% 2020 5.78% 15.67% -5.88% -5.78% 23.12%
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