The present value of $$6,000$ you will receive $3$ years from today is $$5,333\mathrm{.}98,$ assuming a $4\%$ interest $($discount$)$ rate. What would the difference in the present value be if the interest $($discount$)$ rate was assumed to be $3\%?$ Question options: $$137\mathrm{.}44$ or $$223\mathrm{.}62$