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Aaron wants to buy a $5-$year annuity. He has $2$ options:

Option A: Pays $$1000$ at the end of each year, starting one year from now. It earns $6\mathrm{.}25\%$ interest, compounded annually

Option B: Pays $$500$ at the end of every six months, starting $6$ months from now. It ears $6\mathrm{.}25\%$ interest, compounded semi$-$annually.Which annuity should aaron choose? Write an explanation and use calculations to support your answer