Which do you prefer: a bank account that pays $4\mathrm{.}65\%$ per year $($EAR$)$ for $3$ years or

a$.$ an account that pays $2\mathrm{.}43\%$ every six months for $3$ years?

b$.$ an account that pays $7\mathrm{.}99\%$ every $18$ months for $3$ years?

c$.$ an account that pays $0\mathrm{.}67\%$ per month for $3$ years?

$($Note: Compare your current bank EAR with each of the three alternative accounts. Be careful not to round any intermediate steps less than six decimal places.$)$

a$.$ Which do you prefer: a bank account that pays $4\mathrm{.}65\%$ per year $($EAR$)$ for $3$ years or an account that pays $2\mathrm{.}43\%$ every six months for $3$ years?

If you deposit $$1$ into a bank account that pays $4\mathrm{.}65\%$ per year for $3$ years, the amount you will receive after $3$ years is $$.($Round to five decimal places.$)$