$4\mathrm{.}46$ Beginning $1$ month from now, Thaxton Mechanical Products will set aside $$1500$ per month for possibly replacing its corrosion$-$resistant diaphragm pumps whenever it becomes necessary. The replacement isn't needed for $3$ years. How much will the company have available if the hoped$-$for rate of return of $18\%$ per year is achieved?

$4\mathrm{.}52$ What effective interest rate per $6$ months is equal to a nominal $2\%$ per month, compounded continuously?