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Mr. Tom is a risk averse investor. Before the COVID19 pandemic (i.e., pre-COVID19 period) his risk aversion coefficient was 2 and his optimal investments in

Mr. Tom is a risk averse investor. Before the COVID19 pandemic (i.e., pre-COVID19 period) his risk aversion coefficient was 2 and his optimal investments in a risky portfolio and risk-free asset were AU$60,000 and AU$ 40,000 respectively. Standard deviation of his complete portfolio was 21% and risk-free rate was 5%.

During the COVID19 pandemic Mr. Tom becomes more risk averse and his risk-aversion coefficient increases to 4. Risk-free rate drops to 3% and return on risky portfolio increases by 2% (i.e., if the pre-COVID19 period return on risky portfolio is X%, return on risky portfolio during the COVID19 crisis becomes X% + 2%) and standard deviation of risky portfolio falls to 30%.

Based on this data, compute the optimal investment proportion during the COVID19 crisis period in risky portfolio.

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