$4.$Suppose you just won the state lottery, and you have a choice between reaching receiving $$3,250,000$ today or a $20-$year annuity of $$250,000,$ with the first payment coming one year from today. What rate of return is built into the annuity? Disregard Taxes

a$.6\mathrm{.}18\%$

b$\mathrm{.}5\mathrm{.}09\%$

c$\mathrm{.}4\mathrm{.}22\%$

d$\mathrm{.}7\mathrm{.}57\%$

e$\mathrm{.}6\mathrm{.}63\%$

f$\mathrm{.}4\mathrm{.}75\%$