You win a lottery and have a choice of taking $$200000\mathrm{.}00$ immediately or taking payments of $$7311\mathrm{.}15$ at the end of every three months for ten years. Which offer is preferable if interest is $8\%$ compounded quarterly?$$a$.$payment of $$7311\mathrm{.}15$ is preferable$$b$.$Either option is preferable.$$c$.$neither choice is preferable$$d$.$$$97,821$