An Australian portfolio manager is considering increasing the diversification of her portfolio by investing in foreign mutual funds from Canada and Portugal with the following features: Australia Canada Portugal Expected return 14% 11% 7% Standard deviation 10% 9% 6% Correlation with 1.0 0.40 0.05 Australia a) Compute the expected return and standard deviation of the following portfolios: Portfolio A: 25 per cent Canada, 75 per cent Australia Portfolio B: 25 per cent Portugal, 75 per cent Australia Portfolio C: 50 per cent Canada, 50 per cent Australian Portfolio D: 50 per cent Portugal, 50 per cent Australia Portfolio E: 75 per cent Canada, 25 per cent Australia Portfolio F: 75 per cent Portugal, 25 per cent Australia b) Based on the above data above, which country seems to offer the best diversification potential for Australian investors? c) If you were risk averse, which foreign mutual fund would you add to your Australian portfolio? What percentage of your funds would be invested in that foreign fund? Assume that you own a portfolio similar to the Australian fund shown above.

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter20: Short-term Financing
Section: Chapter Questions
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Question 1
An Australian portfolio manager is considering increasing the diversification of her portfolio
by investing in foreign mutual funds from Canada and Portugal with the following features:
Australia
Canada
Portugal
Expected return
14%
11%
7%
Standard deviation
10%
9%
6%
Correlation with
1.0
0.40
0.05
Australia
a) Compute the expected return and standard deviation of the following portfolios:
Portfolio A: 25 per cent Canada, 75 per cent Australia
Portfolio B: 25 per cent Portugal, 75 per cent Australia
Portfolio C: 50 per cent Canada, 50 per cent Australian
Portfolio D: 50 per cent Portugal, 50 per cent Australia
Portfolio E: 75 per cent Canada, 25 per cent Australia
Portfolio F: 75 per cent Portugal, 25 per cent Australia
b) Based on the above data above, which country seems to offer the best diversification
potential for Australian investors?
c) If you were risk averse, which foreign mutual fund would you add to your Australian
portfolio? What percentage of your funds would be invested in that foreign fund? Assume
that you own a portfolio similar to the Australian fund shown above.
Transcribed Image Text:Question 1 An Australian portfolio manager is considering increasing the diversification of her portfolio by investing in foreign mutual funds from Canada and Portugal with the following features: Australia Canada Portugal Expected return 14% 11% 7% Standard deviation 10% 9% 6% Correlation with 1.0 0.40 0.05 Australia a) Compute the expected return and standard deviation of the following portfolios: Portfolio A: 25 per cent Canada, 75 per cent Australia Portfolio B: 25 per cent Portugal, 75 per cent Australia Portfolio C: 50 per cent Canada, 50 per cent Australian Portfolio D: 50 per cent Portugal, 50 per cent Australia Portfolio E: 75 per cent Canada, 25 per cent Australia Portfolio F: 75 per cent Portugal, 25 per cent Australia b) Based on the above data above, which country seems to offer the best diversification potential for Australian investors? c) If you were risk averse, which foreign mutual fund would you add to your Australian portfolio? What percentage of your funds would be invested in that foreign fund? Assume that you own a portfolio similar to the Australian fund shown above.
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