A five$-$year annuity has the following payments for calendar years $2001$ through $2005$: $$500$ on each $31$ March, $$1,000$ on each $30$ June, $$1,500$ on each $30$ September, and $$2,000$ on each $31$ December. Express the value of this annuity on $1$ January, $2001$ in terms of $|{)}^{(4)}.$