If you have been invested in a company for $5$ months and the monthly returns for the

company were $4\mathrm{.}5\%,-2\mathrm{.}3\%,3\mathrm{.}6\%,0\mathrm{.}5\%,$ and $-1\mathrm{.}6\%$ respectively, what is the closest dollar

amount at the end of the month $3$ if you initially invested $$1,000$ at the beginning?

$$1,057$

$$1,046$

$$1,063$