Your grandfather has offered you a choice of one of the three following alternatives:

Alternative $1$:$$1,800$ lump sum to be received in $5$ years.

Alternative $2$:$$300$ at the end of each year for the next five years; or

Alternative $3$:$$250$ at the beginning of each of the next five years.

Assuming you could earn $11$ percent APR compounded annually, which alternative

should you choose? Why? Hint: compare each alternative value at today value

Alternative $3$ which has the highest PV of $$1,025\mathrm{.}61$

Alternative $1$ which has the highest PV of $$1,068\mathrm{.}21$

Alternative $2$ which has the highest PV of $$1,108\mathrm{.}76$