Hanna$$s risk aversion coefficient is $2\mathrm{.}2.$ She is allocating her money between a risk free investment $($or borrowing$)$ and an index fund. How much should she invest in the index fund, if she has $$8776$ to invest, the index fund$$s expected return is $8\mathrm{.}7\%,$ the risk free rate $($for borrowing or investing$)$ is $4\mathrm{.}3\%,$ and the index fund$$s standard deviation is $19\%?$

Round your answer to the nearest integer.