your crazy aunts give you five possible beaters. assume that your discount rate is $12\mathrm{.}5\%($annual compounding$).$ which choice has the greatest present value? a$.$ a perpetual stream of annual payments starting at $$500$ in one year and increasing at $5\%$ thereafter b$.$ five annual payments of $$28,000-$ the first payment occurs one year from today c$.$ a lump sum payment of $25,000$ at the end of $10$ years d$.$ a lump sum payment of $10,000$ today e$.$ a perpetual stream of annual payments of $$1000$ starting in one year