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The following table contains rate of returns in the US in US dollars and in Australia in Australian dollars. Also the USD/AUD exchange rate at

The following table contains rate of returns in the US in US dollars and in Australia in Australian dollars.

Also the USD/AUD exchange rate at the beginning of each year is given. Calculate the following:

a) Average rates of returns and standard deviations to investors in each respective markets

b) Average return and standard deviation to a US investor investing in Australia.

c) Average return and standard deviation to an Australian investor investing in the US.

d) Correlations between the two markets from US investor's point of view

e) Correlations between the two markets from an Australian investor's point of view

f) Rate of return and standard deviation to a US investor that invests 60% in the US and 40% in Australia.

Year USA AUSTRALIA USD/AUD
2010 -1.799% -14.512% 0.7024
2011 15.905% 14.603% 0.897
2012 38.320% 15.126% 1.0206
2013 13.395% 1.099% 1.0217
2014 5.730% -2.127% 1.039
2015 7.503% 6.985% 0.8914
2016 28.241% 7.048% 0.8161
2017 -3.884% -6.903% 0.7281
2018 35.226% 18.378% 0.7225
2019 -9.827% -19.401% 0.7801
2020 0.7047

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