Your grandfather would like to share some of his fortune with you. offers to give you money under one of the following scenarios$($you get to$$ choose$)$:$1.$

a year at the end of each of the next years

$2.$

$($lump sum$)$ now

$3.$

$($lump sum$)$ years from now

Calculate the present value of each scenario using $\%$ interest rate. Which scenario yields the highest present$$ value? Would your preference change if you used a $\%$ interest$$ rate?