Which has a greater present value, A$)$ $$6,000$ in $1$ year plus an additional $$6,000$ in $4$ years assuming a $7\mathrm{.}5\%$ interest rate or B$)$ $$12,000$ today assuming a $7\mathrm{.}5\%$ interest rate. Assume all amounts are compounded annually.

Option A; it it worth approximately $$2,3$ more

Option B; it is worth approximately $$1,926$ more

Neither; Option A and Option B have the same present value

Unknown; it is not possible to compute present value with the given information