$(8$ marks$)$

Mr$.$ and Mrs$.$ Chan are considering two offers on a building lot that they own in a nearby town. One is for $$49,000,$ consisting of $$10,000$ down and the balance to be paid in a lump payment in $8$ months. The second is for $$50,000,$ with $$10,000$ down and the balance to be paid in $1$ year. Which offer has the greater economic value if money can earn $7\mathrm{.}5\%$ pa$?($Use today as the focal date.$)$