Answer
$\$ 565.82$
Work Step by Step
The future value of an investment of $\\\\$
PV=$5,000$ dollars $\\$
"earning" interest at an annual rate of$\\$
r=$-42\%=-0.42\ \ \ \ $(depreciation = negative rate)$\\$
compounded (reinvested) m$=1$ times per year$\\$
for a period of t$=4$ years is$\\$
$FV=PV(1+\displaystyle \frac{r}{m})^{mt}\\$
$=5,000(1+\displaystyle \frac{-0.42}{1})^{1\cdot 4}\approx$565.8248$\\$
rounded to the nearest cent: $FV=\$ 565.82$
