A$1.$ You bought a "scratchie" and you won $$2000.$ You will put this money into a savings account for two years. You find four banks offering the following deals:

a$.$ YNG bank $-2\%$ p$.$a$.$ compounding monthly. There is an annul account$-$keeping fee of $$2.$

b$.$ St Georgina bank $=1\mathrm{.}5\%$ p$.$a$.$ compounding weekly. There are no fees on this account.

c$.$ Mooncorp bank $-1\mathrm{.}25\%$ continuous compounding. There is an annual account$-$keeping fee of $$1$

d$.$ Commonstealth bank $-1\mathrm{.}75\%$ p$.$a$.$ compounding annually. There are no fees on this account. Which account should you choose? How much would you have at the end of the two years under each option?